%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP033+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 : n005.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 03:55:14 PM UTC 2026
% Result : Theorem 162.94s 29.24s
% Output : CNFRefutation 214.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 83
% Syntax : Number of formulae : 14246 ( 752 unt; 19 def)
% Number of atoms : 107255 (7892 equ)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 64914 (29574 ~;34885 |; 356 &)
% ( 18 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 59 ( 57 usr; 25 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 7 con; 0-4 aty)
% Number of variables : 7597 ( 2 sgn7544 !; 53 ?;6999 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f6,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ( ( v2_tsp_2(X1,X0)
& v2_tex_2(X1,X0) )
=> ( ~ v1_borsuk_1(X1,X0)
& v2_pre_topc(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_tsp_2) ).
fof(f20,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> v2_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_pre_topc) ).
fof(f41,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_tops_1(X1,X0)
& v3_pre_topc(X1,X0) )
=> ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(f50,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(f51,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(f52,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
=> k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tsp_2) ).
fof(f53,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f54,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r1_tarski(X1,X2)
& v1_tsp_1(X2,X0) )
=> X1 = X2 ) )
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f56,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_struct_0) ).
fof(f60,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_pre_topc(X0) )
=> m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_tex_4) ).
fof(f63,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tex_4) ).
fof(f64,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f65,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f66,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f68,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
fof(f71,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(f72,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f74,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(f76,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m1_pre_topc(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pre_topc) ).
fof(f77,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f78,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f79,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f80,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m2_tsp_1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_tsp_1) ).
fof(f83,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(f84,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f88,axiom,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(f96,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(f97,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f101,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f102,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k5_subset_1) ).
fof(f103,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
fof(f104,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(f105,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(f106,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(f107,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(f108,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f109,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_tops_1) ).
fof(f110,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(f111,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(f112,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(f113,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(f114,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_pre_topc) ).
fof(f115,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f116,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k4_tex_4(X0,X1) = k2_tex_4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(f117,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f118,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f119,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(f120,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f121,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f122,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = u1_struct_0(X1)
=> ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tsp_2) ).
fof(f123,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f124,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(f125,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) )
& X3 = u1_struct_0(X1) )
=> v3_borsuk_1(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_tsp_2) ).
fof(f126,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tex_4) ).
fof(f127,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f128,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(f129,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(f130,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(f131,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(f132,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f133,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f134,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f135,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f101]) ).
fof(f136,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f121]) ).
fof(f148,plain,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ( ( v2_tsp_2(X1,X0)
& v2_tex_2(X1,X0) )
=> v2_pre_topc(X1) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f150,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& ? [X2] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
& ~ v3_borsuk_1(X2,X0,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& ? [X2] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) )
& ~ v3_borsuk_1(X2,X0,X1) ) ) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f156,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ v2_tex_2(X1,X0)
| v2_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f148]) ).
fof(f157,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ v2_tex_2(X1,X0)
| v2_pre_topc(X1) ) ),
inference(flattening,[],[f156]) ).
fof(f174,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f175,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ) ),
inference(flattening,[],[f174]) ).
fof(f206,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f207,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ) ),
inference(flattening,[],[f206]) ).
fof(f218,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) ) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f221,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_1(X1,X0)
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) ) ) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f223,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f224,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) ) ) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f226,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f60]) ).
fof(f228,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f230,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) ) ),
inference(flattening,[],[f229]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f231]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(flattening,[],[f233]) ).
fof(f235,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f236,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f237,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,[],[f71]) ).
fof(f238,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f239,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ? [X1] : m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f240,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ? [X1] : m2_tsp_1(X1,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f243,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f83]) ).
fof(f244,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f243]) ).
fof(f255,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f256,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f255]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 ),
inference(ennf_transformation,[],[f102]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 ),
inference(flattening,[],[f260]) ).
fof(f262,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f263,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f264,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f263]) ).
fof(f265,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f266,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f268,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f270,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,[],[f111]) ).
fof(f271,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,[],[f270]) ).
fof(f272,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f273,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f275,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f274]) ).
fof(f276,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f277,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f276]) ).
fof(f278,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f115]) ).
fof(f279,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k4_tex_4(X0,X1) = k2_tex_4(X0,X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f281,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k4_tex_4(X0,X1) = k2_tex_4(X0,X1) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f117]) ).
fof(f283,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(flattening,[],[f282]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(ennf_transformation,[],[f118]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(flattening,[],[f284]) ).
fof(f286,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f120]) ).
fof(f287,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X2
| ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) ) ) ) ),
inference(ennf_transformation,[],[f122]) ).
fof(f288,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X2
| ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) ) ) ) ),
inference(flattening,[],[f287]) ).
fof(f289,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f123]) ).
fof(f290,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_pre_topc(X1,X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f291,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) )
| u1_struct_0(X1) != X3
| v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f125]) ).
fof(f292,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) )
| u1_struct_0(X1) != X3
| v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(flattening,[],[f291]) ).
fof(f293,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f126]) ).
fof(f294,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) ) ) ) ),
inference(flattening,[],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f296,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f295]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f298,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f297]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f131]) ).
fof(f300,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f132]) ).
fof(f301,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f133]) ).
fof(f302,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f134]) ).
fof(f307,plain,
( l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2)
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3)
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v5_pre_topc(sK4,sK2,sK3)
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_funct_1(sK4)
& ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(sK2))
| r2_hidden(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X3),k4_tex_4(sK2,X3)) )
& ~ v3_borsuk_1(sK4,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f151]) ).
fof(f310,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) != k1_struct_0(X0,X2) )
| v1_tsp_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f311,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_1(X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3) ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) != k1_struct_0(X0,X2) )
| v1_tsp_1(X1,X0) ) ) ) ),
inference(rectify,[],[f310]) ).
fof(f312,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_1(X1,X0)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3) ) )
& ( ( m1_subset_1(sK5(X0,X1),u1_struct_0(X0))
& r2_hidden(sK5(X0,X1),X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1)) )
| v1_tsp_1(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f311]) ).
fof(f313,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f222]) ).
fof(f314,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ),
inference(rectify,[],[f313]) ).
fof(f315,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( r2_hidden(sK6(X0,X1),X0)
& ~ r2_hidden(sK6(X0,X1),X1) )
| r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f314]) ).
fof(f316,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& X1 != X2 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f317,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& X1 != X2 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(flattening,[],[f316]) ).
fof(f318,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v1_tsp_1(X3,X0)
| X1 = X3 )
& v1_tsp_1(X1,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& X1 != X2 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(rectify,[],[f317]) ).
fof(f319,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v1_tsp_1(X3,X0)
| X1 = X3 )
& v1_tsp_1(X1,X0) ) )
& ( ( m1_subset_1(sK7(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,sK7(X0,X1))
& v1_tsp_1(sK7(X0,X1),X0)
& sK7(X0,X1) != X1 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f318]) ).
fof(f320,plain,
l1_pre_topc(sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f74]) ).
fof(f322,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK10(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f239]) ).
fof(f323,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f77]) ).
fof(f324,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f78]) ).
fof(f325,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f79]) ).
fof(f326,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m2_tsp_1(sK14(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f240]) ).
fof(f327,plain,
( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ v1_xboole_0(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f103]) ).
fof(f328,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK16(X0))
& m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f262]) ).
fof(f329,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v3_pre_topc(sK17(X0),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))],[f264]) ).
fof(f330,plain,
! [X0] :
( v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X1,sK18(X0))],[f106]) ).
fof(f331,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(sK19(X0),X0)
& v3_pre_topc(sK19(X0),X0)
& m1_subset_1(sK19(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f266]) ).
fof(f332,plain,
( ~ v3_struct_0(sK20)
& l1_struct_0(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f108]) ).
fof(f333,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v4_pre_topc(sK21(X0),X0)
& v3_pre_topc(sK21(X0),X0)
& ~ v1_xboole_0(sK21(X0))
& m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X1,sK21(X0))],[f268]) ).
fof(f334,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ( v2_tops_1(sK22(X0),X0)
& v5_membered(sK22(X0))
& v4_membered(sK22(X0))
& v3_membered(sK22(X0))
& v2_membered(sK22(X0))
& v1_membered(sK22(X0))
& v1_xboole_0(sK22(X0))
& m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f269]) ).
fof(f335,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK23(X0))
& m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X1,sK23(X0))],[f271]) ).
fof(f338,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( v4_pre_topc(sK25(X0),X0)
& m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X1,sK25(X0))],[f275]) ).
fof(f339,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( v4_pre_topc(sK26(X0),X0)
& ~ v1_xboole_0(sK26(X0))
& m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X1,sK26(X0))],[f277]) ).
fof(f340,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,[],[f119]) ).
fof(f341,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) )
& ( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f286]) ).
fof(f342,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X2
| ( ( ~ v1_tsp_2(X2,X0)
| v2_tsp_2(X1,X0) )
& ( ~ v2_tsp_2(X1,X0)
| v1_tsp_2(X2,X0) ) ) ) ) ),
inference(nnf_transformation,[],[f288]) ).
fof(f343,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ( m1_subset_1(sK27(X0,X1,X2,X3),u1_struct_0(X0))
& k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK27(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK27(X0,X1,X2,X3))) )
| u1_struct_0(X1) != X3
| v3_borsuk_1(X2,X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X4,sK27(X0,X1,X2,X3))],[f292]) ).
fof(f344,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ( ( ~ r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
& ( k2_tex_4(X0,X1) != k2_tex_4(X0,X2)
| r2_hidden(X2,k2_tex_4(X0,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f294]) ).
fof(f345,plain,
! [X0,X1] :
( ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f346,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f347,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f348,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f349,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f350,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f307]) ).
fof(f351,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f307]) ).
fof(f352,plain,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f307]) ).
fof(f353,plain,
v5_pre_topc(sK4,sK2,sK3),
inference(cnf_transformation,[],[f307]) ).
fof(f354,plain,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f307]) ).
fof(f355,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f307]) ).
fof(f356,plain,
! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(sK2))
| r2_hidden(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X3),k4_tex_4(sK2,X3)) ),
inference(cnf_transformation,[],[f307]) ).
fof(f357,plain,
~ v3_borsuk_1(sK4,sK2,sK3),
inference(cnf_transformation,[],[f307]) ).
fof(f358,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f366,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ v2_tex_2(X1,X0)
| v2_pre_topc(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f404,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f450,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f473,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f475,plain,
! [X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X3)) = k1_struct_0(X0,X3) ),
inference(cnf_transformation,[],[f312]) ).
fof(f476,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK5(X0,X1),u1_struct_0(X0))
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f477,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK5(X0,X1),X1)
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f478,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1))
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f479,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f480,plain,
! [X0,X1] :
( r2_hidden(sK6(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f481,plain,
! [X0,X1] :
( ~ r2_hidden(sK6(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f482,plain,
! [X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v1_tsp_1(X3,X0)
| X1 = X3 ),
inference(cnf_transformation,[],[f319]) ).
fof(f483,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f484,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK7(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f485,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(X1,sK7(X0,X1))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f486,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK7(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f487,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sK7(X0,X1) != X1
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f488,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f226]) ).
fof(f489,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| m1_subset_1(k2_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f228]) ).
fof(f490,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f230]) ).
fof(f491,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k4_tex_4(X0,X1)) ),
inference(cnf_transformation,[],[f230]) ).
fof(f492,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f493,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f494,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f495,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f496,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,[],[f237]) ).
fof(f497,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f498,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f320]) ).
fof(f500,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK10(X0),X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f501,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f323]) ).
fof(f502,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f324]) ).
fof(f503,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f325]) ).
fof(f504,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m2_tsp_1(sK14(X0),X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f514,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f515,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f84]) ).
fof(f520,plain,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f88]) ).
fof(f547,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f553,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f97]) ).
fof(f560,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f135]) ).
fof(f561,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 ),
inference(cnf_transformation,[],[f261]) ).
fof(f567,plain,
~ v1_xboole_0(sK15),
inference(cnf_transformation,[],[f327]) ).
fof(f568,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK16(X0)) ),
inference(cnf_transformation,[],[f328]) ).
fof(f569,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f328]) ).
fof(f571,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f329]) ).
fof(f572,plain,
! [X0] : v1_xboole_0(sK18(X0)),
inference(cnf_transformation,[],[f330]) ).
fof(f573,plain,
! [X0] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f330]) ).
fof(f576,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK19(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f331]) ).
fof(f577,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f332]) ).
fof(f578,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f332]) ).
fof(f581,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK21(X0)) ),
inference(cnf_transformation,[],[f333]) ).
fof(f582,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f333]) ).
fof(f589,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) ),
inference(cnf_transformation,[],[f334]) ).
fof(f590,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f334]) ).
fof(f591,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK23(X0)) ),
inference(cnf_transformation,[],[f335]) ).
fof(f592,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f335]) ).
fof(f604,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f606,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f338]) ).
fof(f608,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK26(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f609,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f339]) ).
fof(f610,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f611,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k2_tex_4(X0,X1) = k4_tex_4(X0,X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f612,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
fof(f613,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f615,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f616,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f618,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f136]) ).
fof(f620,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X2
| ~ v2_tsp_2(X1,X0)
| v1_tsp_2(X2,X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f621,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f622,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f290]) ).
fof(f623,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK27(X0,X1,X2,X3),u1_struct_0(X0))
| u1_struct_0(X1) != X3
| v3_borsuk_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f343]) ).
fof(f624,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,sK27(X0,X1,X2,X3))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK27(X0,X1,X2,X3)))
| u1_struct_0(X1) != X3
| v3_borsuk_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f343]) ).
fof(f625,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) = k2_tex_4(X0,X2) ),
inference(cnf_transformation,[],[f344]) ).
fof(f626,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_tex_4(X0,X1) != k2_tex_4(X0,X2)
| r2_hidden(X2,k2_tex_4(X0,X1)) ),
inference(cnf_transformation,[],[f344]) ).
fof(f627,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f127]) ).
fof(f628,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f629,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f345]) ).
fof(f630,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f631,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f298]) ).
fof(f632,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f633,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f300]) ).
fof(f634,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f301]) ).
fof(f635,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f636,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_tsp_2(X1,X0)
| v1_tsp_2(u1_struct_0(X1),X0) ),
inference(equality_resolution,[],[f620]) ).
fof(f638,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,sK27(X0,X1,X2,u1_struct_0(X1)))) != k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK27(X0,X1,X2,u1_struct_0(X1))))
| v3_borsuk_1(X2,X0,X1) ),
inference(equality_resolution,[],[f624]) ).
fof(f639,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK27(X0,X1,X2,u1_struct_0(X1)),u1_struct_0(X0))
| v3_borsuk_1(X2,X0,X1) ),
inference(equality_resolution,[],[f623]) ).
tcf(c_49,negated_conjecture,
~ v3_borsuk_1(sK4,sK2,sK3),
inference(cnf_transformation,[],[f357]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( r2_hidden(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0),k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_51,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f355]) ).
tcf(c_52,negated_conjecture,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f354]) ).
tcf(c_53,negated_conjecture,
v5_pre_topc(sK4,sK2,sK3),
inference(cnf_transformation,[],[f353]) ).
tcf(c_54,negated_conjecture,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f352]) ).
tcf(c_55,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f351]) ).
tcf(c_56,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f350]) ).
tcf(c_57,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f349]) ).
tcf(c_58,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f348]) ).
tcf(c_59,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f347]) ).
tcf(c_60,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f346]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tex_2(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_tops_1(X0,X1)
| ~ v3_pre_topc(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f473]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X0,X2) = k5_subset_1(X1,X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1)) ) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_tsp_1(X0,X1)
| r2_hidden(sK5(X1,X0),X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_tsp_1(X0,X1)
| m1_subset_1(sK5(X1,X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_subset_1(u1_struct_0(X1),X0,k4_tex_4(X1,X2)) = k1_struct_0(X1,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( sK7(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| v1_tsp_1(sK7(X1,X0),X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| r1_tarski(X0,sK7(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| m1_subset_1(sK7(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k1_struct_0(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(k4_tex_4(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k4_tex_4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k5_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_165,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_167,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,[],[f496]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_169,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f498]) ).
tcf(c_171,plain,
! [X0: $i] :
( m1_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f501]) ).
tcf(c_173,plain,
! [X0: $i] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f502]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f503]) ).
tcf(c_175,plain,
! [X0: $i] :
( m2_tsp_1(sK14(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_185,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_186,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f515]) ).
tcf(c_191,plain,
! [X0: $i] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f520]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_219,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f553]) ).
tcf(c_231,plain,
! [X0: $i] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f560]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X0,X0) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_233,plain,
~ v1_xboole_0(sK15),
inference(cnf_transformation,[],[f567]) ).
tcf(c_239,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_240,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK16(X0)) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_241,plain,
! [X0: $i] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_243,plain,
! [X0: $i] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f573]) ).
tcf(c_244,plain,
! [X0: $i] : v1_xboole_0(sK18(X0)),
inference(cnf_transformation,[],[f572]) ).
tcf(c_245,plain,
! [X0: $i] :
( m1_subset_1(sK19(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_248,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f578]) ).
tcf(c_249,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f577]) ).
tcf(c_250,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f582]) ).
tcf(c_251,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0)) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_254,plain,
! [X0: $i] :
( m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_255,plain,
! [X0: $i] :
( v1_xboole_0(sK22(X0))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f589]) ).
tcf(c_262,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_263,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0)) ),
inference(cnf_transformation,[],[f591]) ).
tcf(c_275,plain,
! [X0: $i] :
( sP1(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f604]) ).
tcf(c_276,plain,
! [X0: $i] :
( m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f606]) ).
tcf(c_278,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f609]) ).
tcf(c_279,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) ),
inference(cnf_transformation,[],[f608]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_struct_0(X1,X0) = k1_tarski(X0) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f610]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k4_tex_4(X1,X0) = k2_tex_4(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f611]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X0,X2) = k3_xboole_0(X0,X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f612]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f615]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f616]) ).
tcf(c_289,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f618]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_tsp_2(u1_struct_0(X0),X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f621]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_borsuk_1(X2,X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ v5_pre_topc(X2,X1,X0)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK27(X1,X0,X2,u1_struct_0(X0)))) != k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k4_tex_4(X1,sK27(X1,X0,X2,u1_struct_0(X0)))) ) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_borsuk_1(X0,X1,X2)
| m1_subset_1(sK27(X1,X2,X0,u1_struct_0(X2)),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X0)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ v5_pre_topc(X0,X1,X2)
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f639]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| r2_hidden(X2,k2_tex_4(X0,X1))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k2_tex_4(X0,X1) != k2_tex_4(X0,X2) ) ),
inference(cnf_transformation,[],[f626]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_tex_4(X1,X0) = k2_tex_4(X1,X2) )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,k2_tex_4(X1,X2)) ),
inference(cnf_transformation,[],[f625]) ).
tcf(c_298,plain,
! [X0: $i] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
inference(cnf_transformation,[],[f627]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f628]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f630]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f629]) ).
tcf(c_302,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,[],[f631]) ).
tcf(c_303,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,[],[f632]) ).
tcf(c_304,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f634]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f635]) ).
tcf(c_313,plain,
( l1_struct_0(sK2)
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_335,plain,
( v1_xboole_0(sK22(sK2))
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_392,plain,
( sP1(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_399,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ v1_xboole_0(sK23(sK2)) ),
inference(instantiation,[status(thm)],[c_263]) ).
tcf(c_402,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_432,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK23(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_262]) ).
tcf(c_435,plain,
( v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK26(sK2)) ),
inference(instantiation,[status(thm)],[c_279]) ).
tcf(c_439,plain,
( v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK21(sK2)) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_445,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK26(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_446,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(X0)
| ~ m1_pre_topc(X0,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_101]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(renaming,[status(thm)],[c_501]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_tsp_2(u1_struct_0(X0),X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_290,c_288,c_293,c_290]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_borsuk_1(X2,X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ v5_pre_topc(X2,X1,X0)
| ( k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK27(X1,X0,X2,u1_struct_0(X0)))) != k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k4_tex_4(X1,sK27(X1,X0,X2,u1_struct_0(X0)))) )
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_294,c_288,c_293,c_294]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_borsuk_1(X2,X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ v5_pre_topc(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK27(X1,X0,X2,u1_struct_0(X0)))) != k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k4_tex_4(X1,sK27(X1,X0,X2,u1_struct_0(X0)))) ) ),
inference(renaming,[status(thm)],[c_509]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_301]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(renaming,[status(thm)],[c_512]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_300]) ).
tcf(c_516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_286]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_516]) ).
tcf(c_534,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_165]) ).
tcf(c_536,plain,
! [X0: $i] :
( m1_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_171]) ).
tcf(c_538,plain,
! [X0: $i] :
( m2_tsp_1(sK14(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_175]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_285,c_167]) ).
tcf(c_1174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_145,c_514]) ).
tcf(c_1175,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_163,c_514]) ).
tcf(c_1176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X2) = X2 )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_232,c_514]) ).
tcf(c_1177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X0) = k3_xboole_0(X2,X0) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_283,c_514]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_302,c_514]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_303,c_514]) ).
tcf(c_3970,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X0,X1)
| ~ v2_tsp_2(X0,X1)
| ~ v5_pre_topc(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ( X2 != sK4 )
| ( X1 != sK2 )
| ( X0 != sK3 )
| ( k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X2,sK27(X1,X0,X2,u1_struct_0(X0)))) != k5_subset_1(u1_struct_0(X1),u1_struct_0(X0),k4_tex_4(X1,sK27(X1,X0,X2,u1_struct_0(X0)))) ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_510]) ).
tcf(c_3971,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_funct_1(sK4)
| ~ m2_tsp_1(sK3,sK2)
| ~ v2_tsp_2(sK3,sK2)
| ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ( k1_struct_0(sK3,k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK27(sK2,sK3,sK4,u1_struct_0(sK3)))) != k5_subset_1(u1_struct_0(sK2),u1_struct_0(sK3),k4_tex_4(sK2,sK27(sK2,sK3,sK4,u1_struct_0(sK3)))) ) ),
inference(unflattening,[status(thm)],[c_3970]) ).
tcf(c_3972,plain,
k1_struct_0(sK3,k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,sK27(sK2,sK3,sK4,u1_struct_0(sK3)))) != k5_subset_1(u1_struct_0(sK2),u1_struct_0(sK3),k4_tex_4(sK2,sK27(sK2,sK3,sK4,u1_struct_0(sK3)))),
inference(global_subsumption_just,[status(thm)],[c_3971,c_60,c_59,c_51,c_58,c_57,c_56,c_55,c_53,c_54,c_52,c_3971]) ).
tcf(c_3977,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_subset_1(sK27(X1,X2,X0,u1_struct_0(X2)),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_funct_1(X0)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ v5_pre_topc(X0,X1,X2)
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ( X2 != sK3 )
| ( X1 != sK2 )
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_295]) ).
tcf(c_3978,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| m1_subset_1(sK27(sK2,sK3,sK4,u1_struct_0(sK3)),u1_struct_0(sK2))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_funct_1(sK4)
| ~ m2_tsp_1(sK3,sK2)
| ~ v2_tsp_2(sK3,sK2)
| ~ v5_pre_topc(sK4,sK2,sK3)
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_3977]) ).
tcf(c_3979,plain,
( m1_subset_1(sK27(sK2,sK3,sK4,u1_struct_0(sK3)),u1_struct_0(sK2))
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_3978,c_60,c_59,c_51,c_58,c_57,c_56,c_55,c_53,c_54,c_52,c_3978]) ).
tcf(c_3992,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X2,X0,X1)
| ( X2 != sK4 )
| ( u1_struct_0(sK3) != X1 )
| ( u1_struct_0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_517]) ).
tcf(c_3993,plain,
m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_3992]) ).
tcf(c_3997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK13(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_517,c_174]) ).
tcf(c_3998,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_3997]) ).
tcf(c_4005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_284]) ).
tcf(c_4006,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ( k8_funct_2(X0,X1,sK4,X2) = k1_funct_1(sK4,X2) )
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(sK4,X0,X1)
| ~ v1_funct_2(sK4,X0,X1) ),
inference(unflattening,[status(thm)],[c_4005]) ).
tcf(c_4023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_164]) ).
tcf(c_4024,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,sK4,X2),X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(sK4,X0,X1)
| ~ v1_funct_2(sK4,X0,X1) ),
inference(unflattening,[status(thm)],[c_4023]) ).
tcf(c_4051,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,sK4,X2),X1)
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(sK4,X0,X1)
| ( sK4 != sK4 )
| ( u1_struct_0(sK3) != X1 )
| ( u1_struct_0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_4024]) ).
tcf(c_4052,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK2))
| m1_subset_1(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_4051]) ).
tcf(c_4063,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ( k8_funct_2(X0,X1,sK4,X2) = k1_funct_1(sK4,X2) )
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(sK4,X0,X1)
| ( sK4 != sK4 )
| ( u1_struct_0(sK3) != X1 )
| ( u1_struct_0(sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_4006]) ).
tcf(c_4064,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK2))
| ( k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0) = k1_funct_1(sK4,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_4063]) ).
tcf(c_4079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK11(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_724,c_172]) ).
tcf(c_4080,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK11(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(unflattening,[status(thm)],[c_4079]) ).
tcf(c_4085,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ( X0 != sK4 )
| ( u1_struct_0(sK3) != X2 )
| ( u1_struct_0(sK2) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_724,c_3993]) ).
tcf(c_4086,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3)))),
inference(unflattening,[status(thm)],[c_4085]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK13(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_724,c_3998]) ).
tcf(c_4091,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK13(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(unflattening,[status(thm)],[c_4090]) ).
tcf(c_4101,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_tsp_2(u1_struct_0(X1),X0)
| ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_506]) ).
tcf(c_4102,plain,
( v3_struct_0(sK2)
| v1_tsp_2(u1_struct_0(sK3),sK2)
| ~ l1_pre_topc(sK2)
| ~ m2_tsp_1(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4101]) ).
tcf(c_4103,plain,
v1_tsp_2(u1_struct_0(sK3),sK2),
inference(global_subsumption_just,[status(thm)],[c_4102,c_60,c_58,c_57,c_4102]) ).
tcf(c_4113,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_288]) ).
tcf(c_4114,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4113]) ).
tcf(c_4115,plain,
m1_pre_topc(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_4114,c_60,c_4114]) ).
tcf(c_4120,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_168]) ).
tcf(c_4121,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4120]) ).
tcf(c_4122,plain,
l1_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_4121,c_60,c_4121]) ).
tcf(c_4127,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_pre_topc(X1,X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK14(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_288,c_538]) ).
tcf(c_4128,plain,
! [X0: $i] :
( m1_pre_topc(sK14(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4127]) ).
tcf(c_4136,plain,
! [X0: $i,X1: $i,X2: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK14(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_168,c_538]) ).
tcf(c_4137,plain,
! [X0: $i] :
( l1_pre_topc(sK14(X0))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4136]) ).
tcf(c_4138,plain,
( l1_pre_topc(sK14(sK2))
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_4137]) ).
tcf(c_4151,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK10(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_293,c_536]) ).
tcf(c_4152,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK10(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4151]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i,X2: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK10(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_166,c_536]) ).
tcf(c_4161,plain,
! [X0: $i] :
( l1_pre_topc(sK10(X0))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4160]) ).
tcf(c_4162,plain,
( l1_pre_topc(sK10(sK2))
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_4161]) ).
tcf(c_4169,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X2)
| ( X0 != X2 )
| ( sK10(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_502,c_536]) ).
tcf(c_4170,plain,
! [X0: $i] :
( v2_pre_topc(sK10(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4169]) ).
tcf(c_4181,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_293,c_4115]) ).
tcf(c_4182,plain,
( m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4181]) ).
tcf(c_4183,plain,
m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_4182,c_60,c_4182]) ).
tcf(c_4190,plain,
! [X0: $i,X1: $i] :
( v2_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_502,c_4115]) ).
tcf(c_4191,plain,
( v2_pre_topc(sK3)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4190]) ).
tcf(c_4192,plain,
v2_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_4191,c_60,c_59,c_4191]) ).
tcf(c_4197,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ( X0 != X2 )
| ( sK14(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_293,c_4128]) ).
tcf(c_4198,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK14(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4197]) ).
tcf(c_4208,plain,
! [X0: $i,X1: $i,X2: $i] :
( v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X2)
| ( X0 != X2 )
| ( sK14(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_502,c_4128]) ).
tcf(c_4209,plain,
! [X0: $i] :
( v2_pre_topc(sK14(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4208]) ).
tcf(c_4228,plain,
m1_subset_1(sK27(sK2,sK3,sK4,u1_struct_0(sK3)),u1_struct_0(sK2)),
inference(backward_subsumption_resolution,[status(thm)],[c_3979,c_4183]) ).
tcf(c_4806,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_281,c_248]) ).
tcf(c_4807,plain,
! [X0: $i] :
( v3_struct_0(sK20)
| ( k1_struct_0(sK20,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_4806]) ).
tcf(c_4818,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_159,c_248]) ).
tcf(c_4819,plain,
! [X0: $i] :
( v3_struct_0(sK20)
| m1_subset_1(k1_struct_0(sK20,X0),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_4818]) ).
tcf(c_4854,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_248]) ).
tcf(c_4855,plain,
( v3_struct_0(sK20)
| ~ v1_xboole_0(sK23(sK20)) ),
inference(unflattening,[status(thm)],[c_4854]) ).
tcf(c_4861,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_262,c_248]) ).
tcf(c_4862,plain,
( v3_struct_0(sK20)
| m1_subset_1(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(unflattening,[status(thm)],[c_4861]) ).
tcf(c_4868,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_185,c_248]) ).
tcf(c_4869,plain,
( v3_struct_0(sK20)
| ~ v1_xboole_0(u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_4868]) ).
tcf(c_5376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(X4,X3)
| ~ r2_hidden(X4,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_513,c_1178]) ).
tcf(c_5377,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(unflattening,[status(thm)],[c_5376]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k5_subset_1(u1_struct_0(X1),X0,k4_tex_4(X1,X2)) = k1_struct_0(X1,X2) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_149,c_5377]) ).
tcf(c_5801,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k2_tex_4(X0,X1))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 )
| ( k2_tex_4(X0,X1) != k2_tex_4(X0,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_296]) ).
tcf(c_5802,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK3,X0))
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ( k2_tex_4(sK3,X0) != k2_tex_4(sK3,X1) ) ),
inference(unflattening,[status(thm)],[c_5801]) ).
tcf(c_5804,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK3,X0))
| ( k2_tex_4(sK3,X0) != k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X1,u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_5802,c_60,c_4121,c_5802]) ).
tcf(c_5805,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ( k2_tex_4(sK3,X0) != k2_tex_4(sK3,X1) ) ),
inference(renaming,[status(thm)],[c_5804]) ).
tcf(c_5819,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_279]) ).
tcf(c_5820,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_xboole_0(sK26(sK3)) ),
inference(unflattening,[status(thm)],[c_5819]) ).
tcf(c_5821,plain,
~ v1_xboole_0(sK26(sK3)),
inference(global_subsumption_just,[status(thm)],[c_5820,c_60,c_59,c_4121,c_4191,c_5820]) ).
tcf(c_5826,plain,
! [X0: $i] :
( m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_278]) ).
tcf(c_5827,plain,
( m1_subset_1(sK26(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(unflattening,[status(thm)],[c_5826]) ).
tcf(c_5828,plain,
m1_subset_1(sK26(sK3),k1_zfmisc_1(u1_struct_0(sK3))),
inference(global_subsumption_just,[status(thm)],[c_5827,c_60,c_59,c_4121,c_4191,c_5827]) ).
tcf(c_5833,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_263]) ).
tcf(c_5834,plain,
( ~ l1_struct_0(sK3)
| ~ v1_xboole_0(sK23(sK3)) ),
inference(unflattening,[status(thm)],[c_5833]) ).
tcf(c_5841,plain,
! [X0: $i] :
( m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_262]) ).
tcf(c_5842,plain,
( m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_5841]) ).
tcf(c_5849,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_251]) ).
tcf(c_5850,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_xboole_0(sK21(sK3)) ),
inference(unflattening,[status(thm)],[c_5849]) ).
tcf(c_5851,plain,
~ v1_xboole_0(sK21(sK3)),
inference(global_subsumption_just,[status(thm)],[c_5850,c_60,c_59,c_4121,c_4191,c_5850]) ).
tcf(c_5856,plain,
! [X0: $i] :
( m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_250]) ).
tcf(c_5857,plain,
( m1_subset_1(sK21(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(unflattening,[status(thm)],[c_5856]) ).
tcf(c_5858,plain,
m1_subset_1(sK21(sK3),k1_zfmisc_1(u1_struct_0(sK3))),
inference(global_subsumption_just,[status(thm)],[c_5857,c_60,c_59,c_4121,c_4191,c_5857]) ).
tcf(c_5863,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_185]) ).
tcf(c_5864,plain,
( ~ l1_struct_0(sK3)
| ~ v1_xboole_0(u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5863]) ).
tcf(c_5871,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK3 )
| ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1)) ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_146]) ).
tcf(c_5872,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ( k5_subset_1(u1_struct_0(sK3),X0,k4_tex_4(sK3,sK5(sK3,X0))) != k1_struct_0(sK3,sK5(sK3,X0)) ) ),
inference(unflattening,[status(thm)],[c_5871]) ).
tcf(c_5874,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ( k5_subset_1(u1_struct_0(sK3),X0,k4_tex_4(sK3,sK5(sK3,X0))) != k1_struct_0(sK3,sK5(sK3,X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_5872,c_60,c_59,c_4121,c_4191,c_5872]) ).
tcf(c_5886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_5665]) ).
tcf(c_5887,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(sK3),X0,k4_tex_4(sK3,X1)) = k1_struct_0(sK3,X1) )
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(unflattening,[status(thm)],[c_5886]) ).
tcf(c_5888,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(sK3),X0,k4_tex_4(sK3,X1)) = k1_struct_0(sK3,X1) )
| ~ v1_tsp_1(X0,sK3)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(global_subsumption_just,[status(thm)],[c_5887,c_60,c_59,c_4121,c_4191,c_5887]) ).
tcf(c_5902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tex_4(X0,X1) = k2_tex_4(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_tex_4(X0,X2))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_297]) ).
tcf(c_5903,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,X1) )
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_hidden(X0,k2_tex_4(sK3,X1)) ),
inference(unflattening,[status(thm)],[c_5902]) ).
tcf(c_5905,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,X1) )
| ~ r2_hidden(X0,k2_tex_4(sK3,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ m1_subset_1(X1,u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_5903,c_60,c_4121,c_5903]) ).
tcf(c_5906,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_hidden(X0,k2_tex_4(sK3,X1)) ),
inference(renaming,[status(thm)],[c_5905]) ).
tcf(c_5920,plain,
! [X0: $i,X1: $i] :
( ( k4_tex_4(X0,X1) = k2_tex_4(X0,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_282]) ).
tcf(c_5921,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = k2_tex_4(sK3,X0) )
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5920]) ).
tcf(c_5923,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_5921,c_60,c_59,c_4121,c_4191,c_5921]) ).
tcf(c_5932,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_281]) ).
tcf(c_5933,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5932]) ).
tcf(c_5944,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_162]) ).
tcf(c_5945,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5944]) ).
tcf(c_5956,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k4_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_161]) ).
tcf(c_5957,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_xboole_0(k4_tex_4(sK3,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5956]) ).
tcf(c_5968,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_159]) ).
tcf(c_5969,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_struct_0(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5968]) ).
tcf(c_5980,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| m1_subset_1(sK5(X0,X1),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_148]) ).
tcf(c_5981,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),u1_struct_0(sK3))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(unflattening,[status(thm)],[c_5980]) ).
tcf(c_5983,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),u1_struct_0(sK3))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(global_subsumption_just,[status(thm)],[c_5981,c_60,c_59,c_4121,c_4191,c_5981]) ).
tcf(c_5995,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| r2_hidden(sK5(X0,X1),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_147]) ).
tcf(c_5996,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X0)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(unflattening,[status(thm)],[c_5995]) ).
tcf(c_5998,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(global_subsumption_just,[status(thm)],[c_5996,c_60,c_59,c_4121,c_4191,c_5996]) ).
tcf(c_6010,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k2_tex_4(X0,X1))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 )
| ( k2_tex_4(X0,X1) != k2_tex_4(X0,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_296]) ).
tcf(c_6011,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK2,X0))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ( k2_tex_4(sK2,X0) != k2_tex_4(sK2,X1) ) ),
inference(unflattening,[status(thm)],[c_6010]) ).
tcf(c_6013,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK2,X0))
| ( k2_tex_4(sK2,X0) != k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_6011,c_60,c_6011]) ).
tcf(c_6014,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ( k2_tex_4(sK2,X0) != k2_tex_4(sK2,X1) ) ),
inference(renaming,[status(thm)],[c_6013]) ).
tcf(c_6028,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_279]) ).
tcf(c_6029,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK26(sK2)) ),
inference(unflattening,[status(thm)],[c_6028]) ).
tcf(c_6030,plain,
~ v1_xboole_0(sK26(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6029,c_60,c_59,c_58,c_435]) ).
tcf(c_6035,plain,
! [X0: $i] :
( m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_278]) ).
tcf(c_6036,plain,
( m1_subset_1(sK26(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_6035]) ).
tcf(c_6037,plain,
m1_subset_1(sK26(sK2),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_6036,c_60,c_59,c_58,c_445]) ).
tcf(c_6042,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_263]) ).
tcf(c_6043,plain,
( ~ l1_struct_0(sK2)
| ~ v1_xboole_0(sK23(sK2)) ),
inference(unflattening,[status(thm)],[c_6042]) ).
tcf(c_6044,plain,
~ v1_xboole_0(sK23(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6043,c_60,c_58,c_313,c_399]) ).
tcf(c_6049,plain,
! [X0: $i] :
( m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_262]) ).
tcf(c_6050,plain,
( m1_subset_1(sK23(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_6049]) ).
tcf(c_6051,plain,
m1_subset_1(sK23(sK2),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_6050,c_60,c_58,c_313,c_432]) ).
tcf(c_6056,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_251]) ).
tcf(c_6057,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK21(sK2)) ),
inference(unflattening,[status(thm)],[c_6056]) ).
tcf(c_6058,plain,
~ v1_xboole_0(sK21(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6057,c_60,c_59,c_58,c_439]) ).
tcf(c_6063,plain,
! [X0: $i] :
( m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_250]) ).
tcf(c_6064,plain,
( m1_subset_1(sK21(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_6063]) ).
tcf(c_6065,plain,
m1_subset_1(sK21(sK2),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_6064,c_60,c_59,c_58,c_446]) ).
tcf(c_6070,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_185]) ).
tcf(c_6071,plain,
( ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6070]) ).
tcf(c_6072,plain,
~ v1_xboole_0(u1_struct_0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6071,c_60,c_58,c_313,c_402]) ).
tcf(c_6077,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK2 )
| ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1)) ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_146]) ).
tcf(c_6078,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ( k5_subset_1(u1_struct_0(sK2),X0,k4_tex_4(sK2,sK5(sK2,X0))) != k1_struct_0(sK2,sK5(sK2,X0)) ) ),
inference(unflattening,[status(thm)],[c_6077]) ).
tcf(c_6080,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ( k5_subset_1(u1_struct_0(sK2),X0,k4_tex_4(sK2,sK5(sK2,X0))) != k1_struct_0(sK2,sK5(sK2,X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_6078,c_60,c_59,c_6078]) ).
tcf(c_6092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_5665]) ).
tcf(c_6093,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(sK2),X0,k4_tex_4(sK2,X1)) = k1_struct_0(sK2,X1) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_6092]) ).
tcf(c_6094,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(sK2),X0,k4_tex_4(sK2,X1)) = k1_struct_0(sK2,X1) )
| ~ v1_tsp_1(X0,sK2)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_6093,c_60,c_59,c_6093]) ).
tcf(c_6108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tex_4(X0,X1) = k2_tex_4(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_tex_4(X0,X2))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_297]) ).
tcf(c_6109,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,X1) )
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ r2_hidden(X0,k2_tex_4(sK2,X1)) ),
inference(unflattening,[status(thm)],[c_6108]) ).
tcf(c_6111,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,X1) )
| ~ r2_hidden(X0,k2_tex_4(sK2,X1))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(X1,u1_struct_0(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_6109,c_60,c_6109]) ).
tcf(c_6112,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,u1_struct_0(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ r2_hidden(X0,k2_tex_4(sK2,X1)) ),
inference(renaming,[status(thm)],[c_6111]) ).
tcf(c_6126,plain,
! [X0: $i,X1: $i] :
( ( k4_tex_4(X0,X1) = k2_tex_4(X0,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_282]) ).
tcf(c_6127,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6126]) ).
tcf(c_6138,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_281]) ).
tcf(c_6139,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6138]) ).
tcf(c_6150,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_162]) ).
tcf(c_6151,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6150]) ).
tcf(c_6162,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k4_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_161]) ).
tcf(c_6163,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6162]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_159]) ).
tcf(c_6175,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6174]) ).
tcf(c_6186,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| m1_subset_1(sK5(X0,X1),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_148]) ).
tcf(c_6187,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),u1_struct_0(sK2))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_6186]) ).
tcf(c_6189,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),u1_struct_0(sK2))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_6187,c_60,c_59,c_6187]) ).
tcf(c_6201,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| r2_hidden(sK5(X0,X1),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_147]) ).
tcf(c_6202,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X0)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_6201]) ).
tcf(c_6204,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_6202,c_60,c_59,c_6202]) ).
tcf(c_6216,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,k2_tex_4(X0,X1))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK20 )
| ( k2_tex_4(X0,X1) != k2_tex_4(X0,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_296,c_249]) ).
tcf(c_6217,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK20,X0))
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(X1,u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ( k2_tex_4(sK20,X0) != k2_tex_4(sK20,X1) ) ),
inference(unflattening,[status(thm)],[c_6216]) ).
tcf(c_6234,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_279,c_249]) ).
tcf(c_6235,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(sK26(sK20)) ),
inference(unflattening,[status(thm)],[c_6234]) ).
tcf(c_6245,plain,
! [X0: $i] :
( m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_278,c_249]) ).
tcf(c_6246,plain,
( m1_subset_1(sK26(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(unflattening,[status(thm)],[c_6245]) ).
tcf(c_6256,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_249]) ).
tcf(c_6257,plain,
( ~ l1_struct_0(sK20)
| ~ v1_xboole_0(sK23(sK20)) ),
inference(unflattening,[status(thm)],[c_6256]) ).
tcf(c_6258,plain,
~ v1_xboole_0(sK23(sK20)),
inference(global_subsumption_just,[status(thm)],[c_6257,c_249,c_4855]) ).
tcf(c_6263,plain,
! [X0: $i] :
( m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_262,c_249]) ).
tcf(c_6264,plain,
( m1_subset_1(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_struct_0(sK20) ),
inference(unflattening,[status(thm)],[c_6263]) ).
tcf(c_6265,plain,
m1_subset_1(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))),
inference(global_subsumption_just,[status(thm)],[c_6264,c_249,c_4862]) ).
tcf(c_6270,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_249]) ).
tcf(c_6271,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(sK21(sK20)) ),
inference(unflattening,[status(thm)],[c_6270]) ).
tcf(c_6281,plain,
! [X0: $i] :
( m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_249]) ).
tcf(c_6282,plain,
( m1_subset_1(sK21(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(unflattening,[status(thm)],[c_6281]) ).
tcf(c_6292,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_185,c_249]) ).
tcf(c_6293,plain,
( ~ l1_struct_0(sK20)
| ~ v1_xboole_0(u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_6292]) ).
tcf(c_6294,plain,
~ v1_xboole_0(u1_struct_0(sK20)),
inference(global_subsumption_just,[status(thm)],[c_6293,c_249,c_4869]) ).
tcf(c_6299,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK20 )
| ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK5(X0,X1))) != k1_struct_0(X0,sK5(X0,X1)) ) ),
inference(resolution_lifted,[status(thm)],[c_146,c_249]) ).
tcf(c_6300,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK20)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| ( k5_subset_1(u1_struct_0(sK20),X0,k4_tex_4(sK20,sK5(sK20,X0))) != k1_struct_0(sK20,sK5(sK20,X0)) ) ),
inference(unflattening,[status(thm)],[c_6299]) ).
tcf(c_6317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_5665,c_249]) ).
tcf(c_6318,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(u1_struct_0(sK20),X0,k4_tex_4(sK20,X1)) = k1_struct_0(sK20,X1) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(X0,sK20)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(unflattening,[status(thm)],[c_6317]) ).
tcf(c_6337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tex_4(X0,X1) = k2_tex_4(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_tex_4(X0,X2))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_297,c_249]) ).
tcf(c_6338,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK20,X0) = k2_tex_4(sK20,X1) )
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(X1,u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r2_hidden(X0,k2_tex_4(sK20,X1)) ),
inference(unflattening,[status(thm)],[c_6337]) ).
tcf(c_6355,plain,
! [X0: $i,X1: $i] :
( ( k4_tex_4(X0,X1) = k2_tex_4(X0,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_282,c_249]) ).
tcf(c_6356,plain,
! [X0: $i] :
( ( k4_tex_4(sK20,X0) = k2_tex_4(sK20,X0) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_6355]) ).
tcf(c_6380,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_162,c_249]) ).
tcf(c_6381,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK20,X0),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_6380]) ).
tcf(c_6395,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k4_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_161,c_249]) ).
tcf(c_6396,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(k4_tex_4(sK20,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_6395]) ).
tcf(c_6420,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| m1_subset_1(sK5(X0,X1),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_249]) ).
tcf(c_6421,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK20)
| m1_subset_1(sK5(sK20,X0),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(unflattening,[status(thm)],[c_6420]) ).
tcf(c_6438,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,X0)
| r2_hidden(sK5(X0,X1),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_147,c_249]) ).
tcf(c_6439,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK20)
| r2_hidden(sK5(sK20,X0),X0)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(unflattening,[status(thm)],[c_6438]) ).
tcf(c_6599,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_struct_0(sK3,X1),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_5969]) ).
tcf(c_6600,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_6599]) ).
tcf(c_6611,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(sK3,X1) = k1_tarski(X1) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK3))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_5933]) ).
tcf(c_6612,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_6611]) ).
tcf(c_6623,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(sK3))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_5864]) ).
tcf(c_6624,plain,
( ~ l1_pre_topc(sK3)
| ~ v1_xboole_0(u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_6623]) ).
tcf(c_6625,plain,
~ v1_xboole_0(u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_6624,c_60,c_4121,c_6624]) ).
tcf(c_6630,plain,
! [X0: $i] :
( m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(X0)
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_5842]) ).
tcf(c_6631,plain,
( m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3) ),
inference(unflattening,[status(thm)],[c_6630]) ).
tcf(c_6632,plain,
m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3))),
inference(global_subsumption_just,[status(thm)],[c_6631,c_60,c_4121,c_6631]) ).
tcf(c_6637,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(sK23(sK3))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_5834]) ).
tcf(c_6638,plain,
( ~ l1_pre_topc(sK3)
| ~ v1_xboole_0(sK23(sK3)) ),
inference(unflattening,[status(thm)],[c_6637]) ).
tcf(c_6639,plain,
~ v1_xboole_0(sK23(sK3)),
inference(global_subsumption_just,[status(thm)],[c_6638,c_60,c_4121,c_6638]) ).
tcf(c_6663,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_300]) ).
tcf(c_6667,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_58,c_313,c_402,c_3993,c_4052]) ).
tcf(c_6669,plain,
! [X0: $i] :
( ( k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,X0) = k1_funct_1(sK4,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_58,c_313,c_402,c_3993,c_4064]) ).
tcf(c_6671,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_59,c_6127]) ).
tcf(c_6673,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_313,c_6139]) ).
tcf(c_6675,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_59,c_6151]) ).
tcf(c_6677,plain,
! [X0: $i] :
( ~ v1_xboole_0(k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_59,c_6163]) ).
tcf(c_6679,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_313,c_6175]) ).
tcf(c_6695,plain,
! [X0: $i] :
( l1_pre_topc(sK14(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_4137]) ).
tcf(c_6697,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK10(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_4152]) ).
tcf(c_6699,plain,
! [X0: $i] :
( l1_pre_topc(sK10(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_4161]) ).
tcf(c_6701,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK14(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_4198]) ).
tcf(c_6743,plain,
! [X0: $i] :
( ( k1_struct_0(sK20,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(prop_impl_just,[status(thm)],[c_249,c_4807]) ).
tcf(c_6745,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK20,X0),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(prop_impl_just,[status(thm)],[c_249,c_4819]) ).
tcf(c_6751,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_5923]) ).
tcf(c_6753,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_4121,c_6612]) ).
tcf(c_6755,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_59,c_4121,c_4191,c_5945]) ).
tcf(c_6757,plain,
! [X0: $i] :
( ~ v1_xboole_0(k4_tex_4(sK3,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_59,c_4121,c_4191,c_5957]) ).
tcf(c_6759,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK3,X0),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(prop_impl_just,[status(thm)],[c_60,c_4121,c_6600]) ).
tcf(c_6949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1174,c_6663]) ).
tcf(c_6950,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1175,c_6663]) ).
tcf(c_6951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X2) = X2 )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1176,c_6663]) ).
tcf(c_6952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X1,X2,X0) = k3_xboole_0(X2,X0) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_1177,c_6663]) ).
tcf(c_8209,plain,
! [X0: $i] :
( ~ iPr_def_10
| r2_hidden(sK5(sK20,X0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| v1_tsp_1(X0,sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_6439]) ).
tcf(c_8210,plain,
( iPr_def_10
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6439]) ).
tcf(c_8211,plain,
! [X0: $i] :
( ~ iPr_def_11
| m1_subset_1(sK5(sK20,X0),u1_struct_0(sK20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| v1_tsp_1(X0,sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_6421]) ).
tcf(c_8212,plain,
( iPr_def_11
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6421]) ).
tcf(c_8213,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ v1_xboole_0(k4_tex_4(sK20,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_6396]) ).
tcf(c_8214,plain,
( iPr_def_12
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6396]) ).
tcf(c_8215,plain,
! [X0: $i] :
( ~ iPr_def_13
| m1_subset_1(k4_tex_4(sK20,X0),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_6381]) ).
tcf(c_8216,plain,
( iPr_def_13
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6381]) ).
tcf(c_8217,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( k4_tex_4(sK20,X0) = k2_tex_4(sK20,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_6356]) ).
tcf(c_8218,plain,
( iPr_def_14
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6356]) ).
tcf(c_8219,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_15
| ( k5_subset_1(u1_struct_0(sK20),X0,k4_tex_4(sK20,X1)) = k1_struct_0(sK20,X1) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v1_tsp_1(X0,sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_6318]) ).
tcf(c_8220,plain,
( iPr_def_15
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6318]) ).
tcf(c_8221,plain,
! [X0: $i] :
( ~ iPr_def_16
| ( k5_subset_1(u1_struct_0(sK20),X0,k4_tex_4(sK20,sK5(sK20,X0))) != k1_struct_0(sK20,sK5(sK20,X0)) )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| v1_tsp_1(X0,sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_6300]) ).
tcf(c_8222,plain,
( iPr_def_16
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6300]) ).
tcf(c_8223,definition,
iPr_def_17 = sK23(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_8224,definition,
iPr_def_18 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_8225,definition,
iPr_def_19 = k1_zfmisc_1(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_8226,definition,
iPr_def_20 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_8227,definition,
iPr_def_21 = k1_zfmisc_1(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_8228,definition,
iPr_def_22 = sK21(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_8229,definition,
iPr_def_23 = sK23(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_8230,definition,
iPr_def_24 = sK26(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_8231,definition,
iPr_def_25 = sK21(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_8232,definition,
iPr_def_26 = sK26(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_8233,definition,
iPr_def_27 = sK27(sK2,sK3,sK4,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_8234,definition,
iPr_def_28 = k2_zfmisc_1(iPr_def_20,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_8235,definition,
iPr_def_29 = k1_zfmisc_1(iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_8236,definition,
iPr_def_30 = k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_8237,definition,
iPr_def_31 = k1_struct_0(sK3,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_8238,definition,
iPr_def_32 = k4_tex_4(sK2,iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_8239,definition,
iPr_def_33 = k5_subset_1(iPr_def_20,iPr_def_18,iPr_def_32),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_8240,plain,
~ v1_xboole_0(iPr_def_17),
inference(demodulation,[status(thm)],[c_6639,c_8223]) ).
tcf(c_8241,plain,
m1_subset_1(iPr_def_17,iPr_def_19),
inference(demodulation,[status(thm)],[c_6632,c_8224,c_8225]) ).
tcf(c_8242,plain,
~ v1_xboole_0(iPr_def_18),
inference(demodulation,[status(thm)],[c_6625]) ).
tcf(c_8243,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(demodulation,[status(thm)],[c_6204,c_8226,c_8227]) ).
tcf(c_8244,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(demodulation,[status(thm)],[c_6189]) ).
tcf(c_8245,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(X0,k2_tex_4(sK2,X1)) ),
inference(demodulation,[status(thm)],[c_6112]) ).
tcf(c_8246,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_6094]) ).
tcf(c_8247,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK5(sK2,X0))) != k1_struct_0(sK2,sK5(sK2,X0)) ) ),
inference(demodulation,[status(thm)],[c_6080]) ).
tcf(c_8248,plain,
~ v1_xboole_0(iPr_def_20),
inference(demodulation,[status(thm)],[c_6072]) ).
tcf(c_8249,plain,
m1_subset_1(iPr_def_22,iPr_def_21),
inference(demodulation,[status(thm)],[c_6065,c_8228]) ).
tcf(c_8250,plain,
~ v1_xboole_0(iPr_def_22),
inference(demodulation,[status(thm)],[c_6058]) ).
tcf(c_8251,plain,
m1_subset_1(iPr_def_23,iPr_def_21),
inference(demodulation,[status(thm)],[c_6051,c_8229]) ).
tcf(c_8252,plain,
~ v1_xboole_0(iPr_def_23),
inference(demodulation,[status(thm)],[c_6044]) ).
tcf(c_8253,plain,
m1_subset_1(iPr_def_24,iPr_def_21),
inference(demodulation,[status(thm)],[c_6037,c_8230]) ).
tcf(c_8254,plain,
~ v1_xboole_0(iPr_def_24),
inference(demodulation,[status(thm)],[c_6030]) ).
tcf(c_8255,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ( k2_tex_4(sK2,X0) != k2_tex_4(sK2,X1) ) ),
inference(demodulation,[status(thm)],[c_6014]) ).
tcf(c_8256,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(demodulation,[status(thm)],[c_5998]) ).
tcf(c_8257,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(demodulation,[status(thm)],[c_5983]) ).
tcf(c_8258,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(X0,k2_tex_4(sK3,X1)) ),
inference(demodulation,[status(thm)],[c_5906]) ).
tcf(c_8259,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_5888]) ).
tcf(c_8260,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK5(sK3,X0))) != k1_struct_0(sK3,sK5(sK3,X0)) ) ),
inference(demodulation,[status(thm)],[c_5874]) ).
tcf(c_8261,plain,
m1_subset_1(iPr_def_25,iPr_def_19),
inference(demodulation,[status(thm)],[c_5858,c_8231]) ).
tcf(c_8262,plain,
~ v1_xboole_0(iPr_def_25),
inference(demodulation,[status(thm)],[c_5851]) ).
tcf(c_8263,plain,
m1_subset_1(iPr_def_26,iPr_def_19),
inference(demodulation,[status(thm)],[c_5828,c_8232]) ).
tcf(c_8264,plain,
~ v1_xboole_0(iPr_def_26),
inference(demodulation,[status(thm)],[c_5821]) ).
tcf(c_8265,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ( k2_tex_4(sK3,X0) != k2_tex_4(sK3,X1) ) ),
inference(demodulation,[status(thm)],[c_5805]) ).
tcf(c_8266,plain,
m1_subset_1(iPr_def_27,iPr_def_20),
inference(demodulation,[status(thm)],[c_4228,c_8233]) ).
tcf(c_8267,plain,
v2_pre_topc(sK3),
inference(demodulation,[status(thm)],[c_4192]) ).
tcf(c_8268,plain,
m1_subset_1(iPr_def_18,iPr_def_21),
inference(demodulation,[status(thm)],[c_4183]) ).
tcf(c_8269,plain,
l1_pre_topc(sK3),
inference(demodulation,[status(thm)],[c_4122]) ).
tcf(c_8270,plain,
v1_tsp_2(iPr_def_18,sK2),
inference(demodulation,[status(thm)],[c_4103]) ).
tcf(c_8271,plain,
m1_subset_1(sK4,iPr_def_29),
inference(demodulation,[status(thm)],[c_4086,c_8234,c_8235]) ).
tcf(c_8272,plain,
iPr_def_31 != iPr_def_33,
inference(demodulation,[status(thm)],[c_3972,c_8238,c_8239,c_8236,c_8237]) ).
tcf(c_8273,negated_conjecture,
l1_pre_topc(sK2),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_8274,negated_conjecture,
v2_pre_topc(sK2),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_8275,negated_conjecture,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_10707,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(sK5(sK2,k2_tex_4(sK2,X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8243,c_8245]) ).
tcf(c_10728,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8255]) ).
tcf(c_10740,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(sK5(sK3,k2_tex_4(sK3,X0)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_8256,c_8258]) ).
tcf(c_10763,plain,
m1_subset_1(sK18(iPr_def_18),iPr_def_19),
inference(superposition,[status(thm)],[c_8225,c_243]) ).
tcf(c_10764,plain,
~ v1_xboole_0(iPr_def_19),
inference(superposition,[status(thm)],[c_8225,c_186]) ).
tcf(c_10776,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(equality_resolution,[status(thm)],[c_8265]) ).
tcf(c_10788,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8256,c_8246]) ).
tcf(c_10790,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,X0),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8275,c_8246]) ).
tcf(c_10858,plain,
m1_subset_1(sK18(iPr_def_20),iPr_def_21),
inference(superposition,[status(thm)],[c_8227,c_243]) ).
tcf(c_10859,plain,
~ v1_xboole_0(iPr_def_21),
inference(superposition,[status(thm)],[c_8227,c_186]) ).
tcf(c_10865,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_10728,c_8246]) ).
tcf(c_10881,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_10776,c_8259]) ).
tcf(c_10946,plain,
m1_subset_1(sK18(iPr_def_28),iPr_def_29),
inference(superposition,[status(thm)],[c_8235,c_243]) ).
tcf(c_10947,plain,
~ v1_xboole_0(iPr_def_29),
inference(superposition,[status(thm)],[c_8235,c_186]) ).
tcf(c_10971,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10707,c_8244]) ).
tcf(c_11032,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_8275]) ).
tcf(c_11033,plain,
( r2_hidden(iPr_def_30,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_11032,c_8236]) ).
tcf(c_11034,plain,
r2_hidden(iPr_def_30,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_11033,c_8266]) ).
tcf(c_11049,plain,
( v1_xboole_0(iPr_def_18)
| m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8225,c_239]) ).
tcf(c_11051,plain,
( v1_xboole_0(iPr_def_28)
| m1_subset_1(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_8235,c_239]) ).
tcf(c_11055,plain,
m1_subset_1(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11049,c_8242]) ).
tcf(c_11124,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6667,c_8224,c_8226]) ).
tcf(c_11136,plain,
! [X0: $i] : sK18(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_244,c_304]) ).
tcf(c_11137,plain,
! [X0: $i] :
( ( sK22(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_304]) ).
tcf(c_11140,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_243,c_11136]) ).
tcf(c_11142,plain,
m1_subset_1(k1_xboole_0,iPr_def_19),
inference(demodulation,[status(thm)],[c_10763,c_11136]) ).
tcf(c_11143,plain,
m1_subset_1(k1_xboole_0,iPr_def_21),
inference(demodulation,[status(thm)],[c_10858,c_11136]) ).
tcf(c_11144,plain,
m1_subset_1(k1_xboole_0,iPr_def_29),
inference(demodulation,[status(thm)],[c_10946,c_11136]) ).
tcf(c_11152,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8256,c_305]) ).
tcf(c_11153,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8243,c_305]) ).
tcf(c_11154,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8275,c_305]) ).
tcf(c_11228,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ~ v1_xboole_0(k1_xboole_0) ),
inference(superposition,[status(thm)],[c_11142,c_11152]) ).
tcf(c_11229,plain,
v1_tsp_1(k1_xboole_0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_11228,c_219]) ).
tcf(c_11259,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| ~ v1_xboole_0(k1_xboole_0) ),
inference(superposition,[status(thm)],[c_11143,c_11153]) ).
tcf(c_11260,plain,
v1_tsp_1(k1_xboole_0,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_11259,c_219]) ).
tcf(c_11310,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_151,c_305]) ).
tcf(c_11313,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK6(X0,X1))) = k1_struct_0(sK2,sK6(X0,X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151,c_8246]) ).
tcf(c_11314,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK6(k2_tex_4(sK3,X0),X1),iPr_def_18) ),
inference(superposition,[status(thm)],[c_151,c_8258]) ).
tcf(c_11315,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK6(k2_tex_4(sK2,X0),X1),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151,c_8245]) ).
tcf(c_11344,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_300]) ).
tcf(c_11345,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8227,c_300]) ).
tcf(c_11346,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_300]) ).
tcf(c_11361,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_173,c_301]) ).
tcf(c_11371,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8225,c_301]) ).
tcf(c_11372,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_301]) ).
tcf(c_11412,plain,
! [X0: $i] : r1_tarski(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_11140,c_301]) ).
tcf(c_11505,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6675,c_8226,c_8227]) ).
tcf(c_11512,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,X0),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10790,c_11505]) ).
tcf(c_11517,plain,
( m1_subset_1(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_11505]) ).
tcf(c_11519,plain,
m1_subset_1(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11517,c_8266]) ).
tcf(c_11524,plain,
( m1_subset_1(iPr_def_30,iPr_def_18)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8236,c_11124]) ).
tcf(c_11527,plain,
m1_subset_1(iPr_def_30,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_11524,c_8266]) ).
tcf(c_11542,plain,
( v1_xboole_0(iPr_def_20)
| v1_xboole_0(iPr_def_18)
| ~ v1_xboole_0(iPr_def_28) ),
inference(superposition,[status(thm)],[c_8234,c_218]) ).
tcf(c_11543,plain,
~ v1_xboole_0(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_11542,c_8248,c_8242]) ).
tcf(c_11623,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6679,c_8226,c_8227]) ).
tcf(c_11639,plain,
( m1_subset_1(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_254]) ).
tcf(c_11641,plain,
! [X0: $i] :
( r1_tarski(sK22(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_301]) ).
tcf(c_11646,plain,
( m1_subset_1(sK22(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_11639,c_8227]) ).
tcf(c_11647,plain,
m1_subset_1(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11646,c_8273]) ).
tcf(c_11655,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_300,c_299]) ).
tcf(c_11656,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) ),
inference(superposition,[status(thm)],[c_173,c_299]) ).
tcf(c_11665,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_17,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8241,c_299]) ).
tcf(c_11667,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8249,c_299]) ).
tcf(c_11668,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8251,c_299]) ).
tcf(c_11669,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8253,c_299]) ).
tcf(c_11671,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8261,c_299]) ).
tcf(c_11672,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8263,c_299]) ).
tcf(c_11673,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8266,c_299]) ).
tcf(c_11674,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8268,c_299]) ).
tcf(c_11675,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK4,iPr_def_29) ),
inference(superposition,[status(thm)],[c_8271,c_299]) ).
tcf(c_11678,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(k4_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11505,c_299]) ).
tcf(c_11681,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11519,c_299]) ).
tcf(c_11682,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_11055,c_299]) ).
tcf(c_11690,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_18)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11124,c_299]) ).
tcf(c_11692,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(k1_xboole_0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_11142,c_299]) ).
tcf(c_11693,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(k1_xboole_0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11143,c_299]) ).
tcf(c_11694,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(k1_xboole_0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_11144,c_299]) ).
tcf(c_11696,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(k1_struct_0(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11623,c_299]) ).
tcf(c_11698,plain,
r2_hidden(k1_xboole_0,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_11694,c_10947]) ).
tcf(c_11699,plain,
r2_hidden(k1_xboole_0,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11693,c_10859]) ).
tcf(c_11700,plain,
r2_hidden(k1_xboole_0,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11692,c_10764]) ).
tcf(c_11701,plain,
r2_hidden(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11681,c_10859]) ).
tcf(c_11702,plain,
r2_hidden(sK4,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_11675,c_10947]) ).
tcf(c_11703,plain,
r2_hidden(iPr_def_18,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11674,c_10859]) ).
tcf(c_11704,plain,
r2_hidden(iPr_def_27,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_11673,c_8248]) ).
tcf(c_11705,plain,
r2_hidden(iPr_def_26,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11672,c_10764]) ).
tcf(c_11706,plain,
r2_hidden(iPr_def_25,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11671,c_10764]) ).
tcf(c_11707,plain,
r2_hidden(iPr_def_24,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11669,c_10859]) ).
tcf(c_11708,plain,
r2_hidden(iPr_def_23,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11668,c_10859]) ).
tcf(c_11709,plain,
r2_hidden(iPr_def_22,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11667,c_10859]) ).
tcf(c_11710,plain,
r2_hidden(iPr_def_17,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11665,c_10764]) ).
tcf(c_11712,plain,
r2_hidden(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11682,c_10764]) ).
tcf(c_11724,plain,
! [X0: $i] :
( r2_hidden(k1_struct_0(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11696,c_10859]) ).
tcf(c_11727,plain,
! [X0: $i] :
( r2_hidden(k4_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11678,c_10859]) ).
tcf(c_11730,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11655,c_186]) ).
tcf(c_11733,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11690,c_8242]) ).
tcf(c_11786,plain,
( v1_tsp_1(iPr_def_22,sK2)
| m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(instantiation,[status(thm)],[c_8244]) ).
tcf(c_11787,plain,
( v1_tsp_1(iPr_def_23,sK2)
| m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(instantiation,[status(thm)],[c_8244]) ).
tcf(c_11788,plain,
( v1_tsp_1(iPr_def_24,sK2)
| m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(instantiation,[status(thm)],[c_8244]) ).
tcf(c_11841,plain,
( v1_tsp_1(sK22(sK2),sK2)
| ~ v1_xboole_0(sK22(sK2)) ),
inference(superposition,[status(thm)],[c_11647,c_11153]) ).
tcf(c_11902,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_tsp_1(iPr_def_22,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ r2_hidden(X0,iPr_def_22) ),
inference(instantiation,[status(thm)],[c_8246]) ).
tcf(c_11904,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_tsp_1(iPr_def_23,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ r2_hidden(X0,iPr_def_23) ),
inference(instantiation,[status(thm)],[c_8246]) ).
tcf(c_11906,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_tsp_1(iPr_def_24,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ r2_hidden(X0,iPr_def_24) ),
inference(instantiation,[status(thm)],[c_8246]) ).
tcf(c_11938,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_6697]) ).
tcf(c_11946,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_11938,c_8227]) ).
tcf(c_11947,plain,
m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11946,c_8273]) ).
tcf(c_11962,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_6701]) ).
tcf(c_11970,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_11962,c_8227]) ).
tcf(c_11971,plain,
m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11970,c_8273]) ).
tcf(c_11996,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_8275,c_152]) ).
tcf(c_11999,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_11034,c_152]) ).
tcf(c_12002,plain,
! [X0: $i] :
( r2_hidden(iPr_def_32,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11701,c_152]) ).
tcf(c_12003,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11700,c_152]) ).
tcf(c_12004,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11699,c_152]) ).
tcf(c_12005,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_11698,c_152]) ).
tcf(c_12082,plain,
! [X0: $i] :
( r2_hidden(sK4,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_11702,c_152]) ).
tcf(c_12097,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11703,c_152]) ).
tcf(c_12112,plain,
! [X0: $i] :
( r2_hidden(iPr_def_26,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11705,c_152]) ).
tcf(c_12127,plain,
! [X0: $i] :
( r2_hidden(iPr_def_25,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11706,c_152]) ).
tcf(c_12173,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_11996,c_305]) ).
tcf(c_12178,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK2,X1)) ),
inference(superposition,[status(thm)],[c_11996,c_8245]) ).
tcf(c_12237,plain,
! [X0: $i] :
( ~ v1_xboole_0(k1_xboole_0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_12261,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0)
| ~ m1_subset_1(sK12(X0),X0) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_12382,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11707,c_152]) ).
tcf(c_12397,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_xboole_0)
| ~ r1_tarski(X1,k1_xboole_0)
| ~ r2_hidden(X0,X1) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_12408,plain,
( m1_subset_1(sK17(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_241]) ).
tcf(c_12414,plain,
( m1_subset_1(sK17(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_12408,c_8225]) ).
tcf(c_12415,plain,
m1_subset_1(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12414,c_8269,c_8267]) ).
tcf(c_12431,plain,
( m1_subset_1(sK19(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_245]) ).
tcf(c_12437,plain,
( m1_subset_1(sK19(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_12431,c_8225]) ).
tcf(c_12438,plain,
m1_subset_1(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12437,c_8269,c_8267]) ).
tcf(c_12457,plain,
( m1_subset_1(sK25(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_276]) ).
tcf(c_12463,plain,
( m1_subset_1(sK25(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_12457,c_8225]) ).
tcf(c_12464,plain,
m1_subset_1(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12463,c_8269,c_8267]) ).
tcf(c_12477,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6673,c_8226]) ).
tcf(c_12540,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11708,c_152]) ).
tcf(c_12555,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11709,c_152]) ).
tcf(c_12570,plain,
! [X0: $i] :
( r2_hidden(iPr_def_17,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11710,c_152]) ).
tcf(c_12606,plain,
! [X0: $i] :
( ( sK24(X0) = k1_xboole_0 )
| ~ v1_xboole_0(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_12607,plain,
( ( sK24(sK2) = k1_xboole_0 )
| ~ v1_xboole_0(sK24(sK2)) ),
inference(instantiation,[status(thm)],[c_12606]) ).
tcf(c_12705,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11712,c_152]) ).
tcf(c_12771,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6753,c_8224]) ).
tcf(c_12783,plain,
k1_struct_0(sK3,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_11527,c_12771]) ).
tcf(c_12785,plain,
k1_tarski(iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_12783,c_8237]) ).
tcf(c_12951,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6759,c_8224,c_8225]) ).
tcf(c_12958,plain,
( m1_subset_1(iPr_def_31,iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8237,c_12951]) ).
tcf(c_12961,plain,
m1_subset_1(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12958,c_11527]) ).
tcf(c_12976,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6671,c_8226]) ).
tcf(c_13047,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_160]) ).
tcf(c_13048,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_160]) ).
tcf(c_13054,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_13048,c_8224,c_8225]) ).
tcf(c_13055,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13054,c_8269]) ).
tcf(c_13058,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_13047,c_8226,c_8227]) ).
tcf(c_13059,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13058,c_8273]) ).
tcf(c_13076,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_31,iPr_def_19) ),
inference(superposition,[status(thm)],[c_12961,c_299]) ).
tcf(c_13078,plain,
r2_hidden(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_13076,c_10764]) ).
tcf(c_13081,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_13078,c_152]) ).
tcf(c_13160,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10971,c_13059]) ).
tcf(c_13161,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10865,c_13059]) ).
tcf(c_13304,plain,
! [X0: $i] :
( v1_tsp_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_254,c_157]) ).
tcf(c_13317,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8226,c_157]) ).
tcf(c_13339,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_13317,c_8227]) ).
tcf(c_13340,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13339,c_8273]) ).
tcf(c_13479,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = k1_funct_1(sK4,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6669,c_8224,c_8226]) ).
tcf(c_13486,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)) = k1_funct_1(sK4,sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_173,c_13479]) ).
tcf(c_13487,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,X0)) = k1_funct_1(sK4,sK5(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_13479]) ).
tcf(c_13542,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8226,c_154]) ).
tcf(c_13562,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_13542,c_8227]) ).
tcf(c_13563,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13562,c_8273]) ).
tcf(c_13737,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,sK7(sK2,X0))
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8226,c_155]) ).
tcf(c_13753,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,sK7(sK2,X0))
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_13737,c_8227]) ).
tcf(c_13754,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,sK7(sK2,X0))
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13753,c_8273]) ).
tcf(c_13918,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ~ v1_tsp_2(iPr_def_18,sK2) ),
inference(superposition,[status(thm)],[c_8268,c_13340]) ).
tcf(c_13937,plain,
v1_tsp_1(iPr_def_18,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13918,c_8270]) ).
tcf(c_14036,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(sK5(sK2,k2_tex_4(sK2,X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8243,c_8245]) ).
tcf(c_14070,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13563,c_11313]) ).
tcf(c_14071,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK5(sK3,sK7(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_13563,c_10788]) ).
tcf(c_14095,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8255]) ).
tcf(c_14108,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(superposition,[status(thm)],[c_13754,c_12173]) ).
tcf(c_14138,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(sK5(sK3,k2_tex_4(sK3,X0)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_8256,c_8258]) ).
tcf(c_14220,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_156]) ).
tcf(c_14238,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_14220,c_8226,c_8227]) ).
tcf(c_14239,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14238,c_8273]) ).
tcf(c_14316,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(iPr_def_20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_158]) ).
tcf(c_14344,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_14316,c_8226,c_8227]) ).
tcf(c_14345,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14344,c_8273]) ).
tcf(c_14510,plain,
~ v1_xboole_0(iPr_def_19),
inference(superposition,[status(thm)],[c_8225,c_186]) ).
tcf(c_14522,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(equality_resolution,[status(thm)],[c_8265]) ).
tcf(c_14533,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8256,c_8246]) ).
tcf(c_14609,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11412,c_14345]) ).
tcf(c_14618,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14609,c_11143]) ).
tcf(c_14791,plain,
~ v1_xboole_0(iPr_def_21),
inference(superposition,[status(thm)],[c_8227,c_186]) ).
tcf(c_14807,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_12415,c_299]) ).
tcf(c_14809,plain,
r2_hidden(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_14807,c_10764]) ).
tcf(c_14817,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_14095,c_8246]) ).
tcf(c_14827,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_12438,c_299]) ).
tcf(c_14829,plain,
r2_hidden(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_14827,c_10764]) ).
tcf(c_14837,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_12464,c_299]) ).
tcf(c_14839,plain,
r2_hidden(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_14837,c_10764]) ).
tcf(c_14861,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_14522,c_8259]) ).
tcf(c_14936,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14108,c_11505]) ).
tcf(c_15035,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_14817,c_13161]) ).
tcf(c_15058,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_1(k2_tex_4(sK3,X0),sK3) ),
inference(global_subsumption_just,[status(thm)],[c_14861,c_10881,c_13055]) ).
tcf(c_15067,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_14809,c_152]) ).
tcf(c_15107,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_14829,c_152]) ).
tcf(c_15134,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_14839,c_152]) ).
tcf(c_15156,plain,
r1_tarski(sK12(iPr_def_19),iPr_def_18),
inference(superposition,[status(thm)],[c_8225,c_11361]) ).
tcf(c_15157,plain,
r1_tarski(sK12(iPr_def_21),iPr_def_20),
inference(superposition,[status(thm)],[c_8227,c_11361]) ).
tcf(c_15158,plain,
r1_tarski(sK12(iPr_def_29),iPr_def_28),
inference(superposition,[status(thm)],[c_8235,c_11361]) ).
tcf(c_15184,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(global_subsumption_just,[status(thm)],[c_14036,c_13160]) ).
tcf(c_15193,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_15184,c_15035]) ).
tcf(c_15215,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_15157,c_14345]) ).
tcf(c_15216,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15215,c_173]) ).
tcf(c_15292,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK5(sK3,k2_tex_4(sK3,X0)),iPr_def_18) ),
inference(global_subsumption_just,[status(thm)],[c_14138,c_10740,c_13055]) ).
tcf(c_15303,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8257,c_15292]) ).
tcf(c_15408,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(global_subsumption_just,[status(thm)],[c_15303,c_13055,c_15303]) ).
tcf(c_15495,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_14070,c_14070,c_14239]) ).
tcf(c_15508,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_15495,c_14345]) ).
tcf(c_15551,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK5(sK3,sK7(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(global_subsumption_just,[status(thm)],[c_14071,c_14071,c_14239]) ).
tcf(c_15668,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,X0)))) = k2_tex_4(sK2,sK5(sK2,X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,X0)),k4_tex_4(sK2,sK5(sK2,X0))) = k1_struct_0(sK2,sK5(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_15193]) ).
tcf(c_15684,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_15508,c_14239,c_15508]) ).
tcf(c_16025,plain,
m1_subset_1(sK16(iPr_def_28),iPr_def_29),
inference(global_subsumption_just,[status(thm)],[c_11051,c_11051,c_11543]) ).
tcf(c_16027,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_16025,c_299]) ).
tcf(c_16028,plain,
r2_hidden(sK16(iPr_def_28),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_16027,c_10947]) ).
tcf(c_16029,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_16028,c_152]) ).
tcf(c_16196,plain,
( v1_xboole_0(iPr_def_22)
| r2_hidden(sK12(iPr_def_22),iPr_def_22)
| ~ m1_subset_1(sK12(iPr_def_22),iPr_def_22) ),
inference(instantiation,[status(thm)],[c_12261]) ).
tcf(c_16197,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(iPr_def_22,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ r2_hidden(sK12(iPr_def_22),iPr_def_22) ),
inference(instantiation,[status(thm)],[c_11902]) ).
tcf(c_16198,plain,
( v1_xboole_0(iPr_def_23)
| r2_hidden(sK12(iPr_def_23),iPr_def_23)
| ~ m1_subset_1(sK12(iPr_def_23),iPr_def_23) ),
inference(instantiation,[status(thm)],[c_12261]) ).
tcf(c_16199,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(iPr_def_23,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ r2_hidden(sK12(iPr_def_23),iPr_def_23) ),
inference(instantiation,[status(thm)],[c_11904]) ).
tcf(c_16200,plain,
( v1_xboole_0(iPr_def_24)
| r2_hidden(sK12(iPr_def_24),iPr_def_24)
| ~ m1_subset_1(sK12(iPr_def_24),iPr_def_24) ),
inference(instantiation,[status(thm)],[c_12261]) ).
tcf(c_16201,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(iPr_def_24,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ r2_hidden(sK12(iPr_def_24),iPr_def_24) ),
inference(instantiation,[status(thm)],[c_11906]) ).
tcf(c_16488,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11310,c_14345]) ).
tcf(c_16535,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_11656,c_152]) ).
tcf(c_16540,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(X0))) = k1_struct_0(sK2,sK12(X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11656,c_8246]) ).
tcf(c_16782,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13563,c_16488]) ).
tcf(c_16942,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_16782,c_14239,c_16782]) ).
tcf(c_17018,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13563,c_14618]) ).
tcf(c_17074,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8243,c_305]) ).
tcf(c_17127,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_11310,c_11344]) ).
tcf(c_17128,plain,
m1_subset_1(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_289,c_11344]) ).
tcf(c_17149,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_17128,c_299]) ).
tcf(c_17152,plain,
r2_hidden(iPr_def_18,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_17149,c_10764]) ).
tcf(c_17155,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_17152,c_152]) ).
tcf(c_17174,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11152,c_17127]) ).
tcf(c_17260,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_17018,c_14239,c_17018]) ).
tcf(c_17497,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_11310,c_11345]) ).
tcf(c_17498,plain,
m1_subset_1(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_289,c_11345]) ).
tcf(c_17543,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_17498,c_299]) ).
tcf(c_17547,plain,
r2_hidden(iPr_def_20,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_17543,c_10859]) ).
tcf(c_17552,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_17074,c_11153,c_17497]) ).
tcf(c_17569,plain,
! [X0: $i] :
( r2_hidden(iPr_def_20,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_17547,c_152]) ).
tcf(c_17588,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16942,c_17497]) ).
tcf(c_17850,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_11724,c_61]) ).
tcf(c_17892,plain,
m1_subset_1(iPr_def_28,iPr_def_29),
inference(superposition,[status(thm)],[c_289,c_11346]) ).
tcf(c_17934,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(iPr_def_28,iPr_def_29) ),
inference(superposition,[status(thm)],[c_17892,c_299]) ).
tcf(c_17935,plain,
r2_hidden(iPr_def_28,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_17934,c_10947]) ).
tcf(c_17936,plain,
! [X0: $i] :
( r2_hidden(iPr_def_28,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_17935,c_152]) ).
tcf(c_18204,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_151,c_305]) ).
tcf(c_18238,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_11727,c_61]) ).
tcf(c_18334,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_13055,c_11371]) ).
tcf(c_18349,plain,
! [X0: $i] :
( r1_tarski(k1_struct_0(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_12951,c_11371]) ).
tcf(c_18350,plain,
r1_tarski(iPr_def_31,iPr_def_18),
inference(superposition,[status(thm)],[c_12961,c_11371]) ).
tcf(c_18558,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_11733,c_61]) ).
tcf(c_18646,plain,
r1_tarski(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_8268,c_11372]) ).
tcf(c_18647,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_13059,c_11372]) ).
tcf(c_18648,plain,
! [X0: $i] :
( r1_tarski(k4_tex_4(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11505,c_11372]) ).
tcf(c_18649,plain,
r1_tarski(iPr_def_32,iPr_def_20),
inference(superposition,[status(thm)],[c_11519,c_11372]) ).
tcf(c_18818,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_300]) ).
tcf(c_18839,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_18350,c_14345]) ).
tcf(c_18841,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ m1_subset_1(iPr_def_31,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18839,c_13937,c_8268]) ).
tcf(c_19049,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12002]) ).
tcf(c_19065,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12003]) ).
tcf(c_19081,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12004]) ).
tcf(c_19130,plain,
r2_hidden(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_18649,c_11999]) ).
tcf(c_19187,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_19049,c_152]) ).
tcf(c_19231,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_19065,c_152]) ).
tcf(c_19275,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_19081,c_152]) ).
tcf(c_19343,plain,
m1_subset_1(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_19130,c_292]) ).
tcf(c_19364,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30) = k1_funct_1(sK4,iPr_def_30),
inference(superposition,[status(thm)],[c_19343,c_13479]) ).
tcf(c_19365,plain,
k4_tex_4(sK2,iPr_def_30) = k2_tex_4(sK2,iPr_def_30),
inference(superposition,[status(thm)],[c_19343,c_12976]) ).
tcf(c_19366,plain,
k1_struct_0(sK2,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_19343,c_12477]) ).
tcf(c_19367,plain,
k1_struct_0(sK2,iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_19366,c_12785]) ).
tcf(c_19380,plain,
( r2_hidden(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19367,c_11724]) ).
tcf(c_19382,plain,
( m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19367,c_11623]) ).
tcf(c_19383,plain,
m1_subset_1(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_19382,c_19343]) ).
tcf(c_19384,plain,
r2_hidden(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_19380,c_19343]) ).
tcf(c_19412,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_19384,c_152]) ).
tcf(c_19574,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12005]) ).
tcf(c_19618,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12082]) ).
tcf(c_19634,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12097]) ).
tcf(c_19690,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_19574,c_152]) ).
tcf(c_19789,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_19618,c_152]) ).
tcf(c_19840,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_19634,c_152]) ).
tcf(c_19877,plain,
m1_subset_1(sK12(iPr_def_22),iPr_def_22),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_19887,plain,
m1_subset_1(sK12(iPr_def_23),iPr_def_23),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_19892,plain,
( m1_subset_1(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_254]) ).
tcf(c_19899,plain,
( m1_subset_1(sK22(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_19892,c_8227]) ).
tcf(c_19900,plain,
m1_subset_1(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_19899,c_8273]) ).
tcf(c_19932,plain,
m1_subset_1(sK12(iPr_def_24),iPr_def_24),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_19982,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12112]) ).
tcf(c_20009,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12127]) ).
tcf(c_20195,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_19982,c_152]) ).
tcf(c_20235,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_20009,c_152]) ).
tcf(c_20387,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12382]) ).
tcf(c_20442,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12540]) ).
tcf(c_20520,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_20387,c_152]) ).
tcf(c_20588,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_20442,c_152]) ).
tcf(c_20808,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12555]) ).
tcf(c_20824,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_12570]) ).
tcf(c_20840,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_13081]) ).
tcf(c_20879,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_20808,c_152]) ).
tcf(c_20919,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_20824,c_152]) ).
tcf(c_20990,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_20840,c_152]) ).
tcf(c_21203,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_17155]) ).
tcf(c_21219,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_17569]) ).
tcf(c_21265,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_21203,c_152]) ).
tcf(c_21305,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_21219,c_152]) ).
tcf(c_21430,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_17936]) ).
tcf(c_21462,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19412]) ).
tcf(c_21504,plain,
! [X0: $i] :
( ( sK22(sK14(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_11137]) ).
tcf(c_21505,plain,
! [X0: $i] :
( ( sK22(sK10(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_11137]) ).
tcf(c_21530,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_21430,c_152]) ).
tcf(c_21584,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_21462,c_152]) ).
tcf(c_21955,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK22(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),sK2)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(sK22(X0),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_11641,c_14345]) ).
tcf(c_21971,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_11730]) ).
tcf(c_21973,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_11730]) ).
tcf(c_22055,plain,
r2_hidden(sK12(iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_15156,c_21971]) ).
tcf(c_22138,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_22055,c_152]) ).
tcf(c_22314,plain,
( v1_tsp_1(sK22(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK22(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK22(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK22(sK2))),k4_tex_4(sK2,sK5(sK2,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK22(sK2))) ) ),
inference(superposition,[status(thm)],[c_19900,c_15668]) ).
tcf(c_22383,plain,
r2_hidden(sK12(iPr_def_29),iPr_def_29),
inference(superposition,[status(thm)],[c_15158,c_21973]) ).
tcf(c_22454,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_22383,c_152]) ).
tcf(c_22545,plain,
v1_tsp_1(sK22(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_22314,c_60,c_335,c_11841]) ).
tcf(c_22548,plain,
( v1_tsp_1(sK22(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) )
| ~ m1_subset_1(sK22(sK2),iPr_def_21)
| ~ m1_subset_1(sK22(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_22545,c_14533]) ).
tcf(c_22552,plain,
( v1_tsp_1(sK22(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) )
| ~ m1_subset_1(sK22(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22548,c_19900]) ).
tcf(c_22771,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_12705,c_292]) ).
tcf(c_23611,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_15067,c_292]) ).
tcf(c_23700,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_15107,c_292]) ).
tcf(c_23913,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_15134,c_292]) ).
tcf(c_23988,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_16029,c_292]) ).
tcf(c_24193,plain,
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19365,c_11505]) ).
tcf(c_24198,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19365,c_8275]) ).
tcf(c_24200,plain,
m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_24193,c_19343]) ).
tcf(c_24203,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_24198,c_19364]) ).
tcf(c_24204,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_24203,c_19343]) ).
tcf(c_24389,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_24204,c_152]) ).
tcf(c_24630,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_15216,c_15216,c_17498]) ).
tcf(c_24666,plain,
r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_24200,c_11372]) ).
tcf(c_24800,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_22138,c_292]) ).
tcf(c_24977,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_22454,c_292]) ).
tcf(c_25167,plain,
( r1_tarski(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_22771,c_11372]) ).
tcf(c_25892,plain,
( r1_tarski(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23611,c_11372]) ).
tcf(c_25994,plain,
( r1_tarski(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23700,c_11372]) ).
tcf(c_26129,plain,
( r1_tarski(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23913,c_11372]) ).
tcf(c_26209,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ r1_tarski(iPr_def_21,k1_xboole_0)
| ~ r2_hidden(iPr_def_22,iPr_def_21) ),
inference(instantiation,[status(thm)],[c_12397]) ).
tcf(c_26214,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ r1_tarski(iPr_def_20,k1_xboole_0)
| ~ r2_hidden(iPr_def_27,iPr_def_20) ),
inference(instantiation,[status(thm)],[c_12397]) ).
tcf(c_26241,plain,
( r1_tarski(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23988,c_11372]) ).
tcf(c_26465,plain,
( r1_tarski(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_24800,c_11372]) ).
tcf(c_26813,plain,
( r1_tarski(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_24977,c_11372]) ).
tcf(c_27089,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_25167,c_14345]) ).
tcf(c_27091,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25167,c_11345]) ).
tcf(c_27096,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27089,c_17498]) ).
tcf(c_29132,plain,
sK22(sK14(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_21504]) ).
tcf(c_29175,plain,
( ( u1_struct_0(sK14(sK2)) = sK22(sK14(sK2)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(sK22(sK14(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_29132,c_21955]) ).
tcf(c_29179,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK2))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_29175,c_29132]) ).
tcf(c_29180,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29179,c_11143,c_11971]) ).
tcf(c_29278,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_29180,c_60,c_4138,c_29180]) ).
tcf(c_29533,plain,
sK22(sK10(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_21505]) ).
tcf(c_29573,plain,
( ( u1_struct_0(sK10(sK2)) = sK22(sK10(sK2)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(sK22(sK10(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_29533,c_21955]) ).
tcf(c_29577,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK2))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_29573,c_29533]) ).
tcf(c_29578,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29577,c_11143,c_11947]) ).
tcf(c_29682,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_25892,c_14345]) ).
tcf(c_29684,plain,
( m1_subset_1(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25892,c_11345]) ).
tcf(c_29689,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29682,c_17498]) ).
tcf(c_30462,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_25994,c_14345]) ).
tcf(c_30465,plain,
( m1_subset_1(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25994,c_11345]) ).
tcf(c_30472,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30462,c_17498]) ).
tcf(c_33589,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_26129,c_14345]) ).
tcf(c_33592,plain,
( m1_subset_1(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26129,c_11345]) ).
tcf(c_33599,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33589,c_17498]) ).
tcf(c_33743,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_26241,c_14345]) ).
tcf(c_33746,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26241,c_11345]) ).
tcf(c_33753,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33743,c_17498]) ).
tcf(c_33844,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19187]) ).
tcf(c_33885,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33844,c_13563,c_14239]) ).
tcf(c_33903,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_33885,c_305]) ).
tcf(c_33904,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_33885,c_292]) ).
tcf(c_33964,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19231]) ).
tcf(c_34015,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33964,c_13563,c_14239]) ).
tcf(c_34033,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_34015,c_305]) ).
tcf(c_34034,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_34015,c_292]) ).
tcf(c_34226,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_26465,c_14345]) ).
tcf(c_34229,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26465,c_11345]) ).
tcf(c_34236,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34226,c_17498]) ).
tcf(c_34375,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19275]) ).
tcf(c_34416,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34375,c_13563,c_14239]) ).
tcf(c_34435,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_34416,c_292]) ).
tcf(c_34698,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19690]) ).
tcf(c_34753,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34698,c_13563,c_14239]) ).
tcf(c_34771,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_34753,c_305]) ).
tcf(c_34772,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_34753,c_292]) ).
tcf(c_35363,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_26813,c_14345]) ).
tcf(c_35366,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26813,c_11345]) ).
tcf(c_35373,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35363,c_17498]) ).
tcf(c_35454,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19789]) ).
tcf(c_35505,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35454,c_13563,c_14239]) ).
tcf(c_35524,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_35505,c_292]) ).
tcf(c_35598,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_19840]) ).
tcf(c_36404,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35598,c_13563,c_14239]) ).
tcf(c_36423,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_36404,c_292]) ).
tcf(c_36478,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20195]) ).
tcf(c_36533,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36478,c_13563,c_14239]) ).
tcf(c_36552,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_36533,c_292]) ).
tcf(c_36641,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20235]) ).
tcf(c_36695,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36641,c_13563,c_14239]) ).
tcf(c_36714,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_36695,c_292]) ).
tcf(c_37212,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20520]) ).
tcf(c_37253,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37212,c_13563,c_14239]) ).
tcf(c_37272,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_37253,c_292]) ).
tcf(c_37354,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20588]) ).
tcf(c_37417,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37354,c_13563,c_14239]) ).
tcf(c_37436,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_37417,c_292]) ).
tcf(c_37775,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20879]) ).
tcf(c_37840,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37775,c_13563,c_14239]) ).
tcf(c_37859,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_37840,c_292]) ).
tcf(c_37960,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20919]) ).
tcf(c_38146,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37960,c_13563,c_14239]) ).
tcf(c_38165,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38146,c_292]) ).
tcf(c_38589,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_20990]) ).
tcf(c_38648,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38589,c_13563,c_14239]) ).
tcf(c_38667,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38648,c_292]) ).
tcf(c_38722,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_21265]) ).
tcf(c_38777,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38722,c_13563,c_14239]) ).
tcf(c_38796,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38777,c_292]) ).
tcf(c_38858,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_21305]) ).
tcf(c_39071,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38858,c_13563,c_14239]) ).
tcf(c_39090,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_39071,c_292]) ).
tcf(c_39155,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_21530]) ).
tcf(c_39196,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39155,c_13563,c_14239]) ).
tcf(c_39215,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_39196,c_292]) ).
tcf(c_39270,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13754,c_21584]) ).
tcf(c_39340,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39270,c_13563,c_14239]) ).
tcf(c_39359,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_39340,c_292]) ).
tcf(c_39447,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_16535,c_305]) ).
tcf(c_40668,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19364,c_11733]) ).
tcf(c_40678,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19364,c_11124]) ).
tcf(c_40683,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_40678,c_19343]) ).
tcf(c_40684,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_40668,c_19343]) ).
tcf(c_40892,plain,
k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_40683,c_12771]) ).
tcf(c_40893,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_40684,c_152]) ).
tcf(c_41005,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_40893,c_292]) ).
tcf(c_41241,plain,
( ( k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_41005,c_12477]) ).
tcf(c_41260,plain,
k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_41241,c_18646]) ).
tcf(c_41921,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13486,c_11733]) ).
tcf(c_41937,plain,
r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_41921,c_173]) ).
tcf(c_42431,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_41937,c_152]) ).
tcf(c_42502,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_8249,c_13487]) ).
tcf(c_42503,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_8251,c_13487]) ).
tcf(c_42504,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_8253,c_13487]) ).
tcf(c_43785,plain,
( r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_40892,c_18349]) ).
tcf(c_43791,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_43785,c_40683]) ).
tcf(c_44158,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_43791,c_14345]) ).
tcf(c_44162,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44158,c_13937,c_8268]) ).
tcf(c_45018,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_18204,c_18818]) ).
tcf(c_45359,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_41260,c_17850]) ).
tcf(c_45360,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_41260,c_11724]) ).
tcf(c_45362,plain,
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_41260,c_11623]) ).
tcf(c_45836,plain,
( v1_tsp_1(sK22(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) )
| ~ v1_xboole_0(sK22(sK2)) ),
inference(superposition,[status(thm)],[c_45018,c_22552]) ).
tcf(c_46946,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_42431,c_292]) ).
tcf(c_48260,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_46946,c_13479]) ).
tcf(c_48261,plain,
( ( k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_46946,c_12976]) ).
tcf(c_48262,plain,
( ( k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_46946,c_12477]) ).
tcf(c_48281,plain,
k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_48262,c_18646]) ).
tcf(c_48285,plain,
k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_48261,c_18646]) ).
tcf(c_48288,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_48260,c_18646]) ).
tcf(c_48531,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK6(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_1178]) ).
tcf(c_50097,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_1179]) ).
tcf(c_50537,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_11361,c_50097]) ).
tcf(c_53321,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_24666,c_24389]) ).
tcf(c_53527,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_53321,c_292]) ).
tcf(c_57454,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_50537,c_14345]) ).
tcf(c_57460,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_50537,c_11345]) ).
tcf(c_57549,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_57454,c_57460,c_57454]) ).
tcf(c_58264,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ r1_tarski(iPr_def_32,k1_xboole_0)
| ~ r2_hidden(iPr_def_30,iPr_def_32) ),
inference(instantiation,[status(thm)],[c_12397]) ).
tcf(c_59095,plain,
( v1_xboole_0(iPr_def_22)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_42502,c_16540]) ).
tcf(c_59098,plain,
( v1_xboole_0(iPr_def_23)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_42503,c_16540]) ).
tcf(c_59101,plain,
( v1_xboole_0(iPr_def_24)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_42504,c_16540]) ).
tcf(c_59121,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_13563,c_16540]) ).
tcf(c_59141,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59101,c_8254,c_8253]) ).
tcf(c_59144,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59098,c_8252,c_8251]) ).
tcf(c_59147,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59095,c_8250,c_8249]) ).
tcf(c_59464,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_48281,c_17850]) ).
tcf(c_59465,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_48281,c_11724]) ).
tcf(c_60909,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_59121,c_14239,c_59121]) ).
tcf(c_61602,plain,
( v1_tsp_1(sK22(sK10(sK2)),sK10(sK2))
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK2)) ),
inference(superposition,[status(thm)],[c_29533,c_13304]) ).
tcf(c_61603,plain,
( v1_tsp_1(sK22(sK14(sK2)),sK14(sK2))
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK2)) ),
inference(superposition,[status(thm)],[c_29132,c_13304]) ).
tcf(c_61666,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK2))
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK2)) ),
inference(light_normalisation,[status(thm)],[c_61603,c_29132]) ).
tcf(c_61670,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK2))
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK2)) ),
inference(light_normalisation,[status(thm)],[c_61602,c_29533]) ).
tcf(c_62394,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_48285,c_18238]) ).
tcf(c_62395,plain,
( r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_48285,c_11727]) ).
tcf(c_62401,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_48285,c_14936]) ).
tcf(c_62412,plain,
( m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_48285,c_11505]) ).
tcf(c_62414,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_48285,c_11154]) ).
tcf(c_62417,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_48285,c_8275]) ).
tcf(c_62431,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_62417,c_48288]) ).
tcf(c_62498,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(light_normalisation,[status(thm)],[c_62401,c_48285]) ).
tcf(c_64709,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_27096,c_27091,c_27096]) ).
tcf(c_72322,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_48288,c_18558]) ).
tcf(c_72327,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_48288,c_11733]) ).
tcf(c_78766,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK3,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_48531,c_11314]) ).
tcf(c_78767,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_48531,c_11315]) ).
tcf(c_80631,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19)
| ~ m1_subset_1(sK5(sK3,k2_tex_4(sK2,X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8256,c_8245]) ).
tcf(c_80651,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8255]) ).
tcf(c_81135,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK6(k2_tex_4(sK2,X0),X1),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151,c_8245]) ).
tcf(c_81286,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_173,c_301]) ).
tcf(c_81355,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(global_subsumption_just,[status(thm)],[c_81135,c_18647,c_78767]) ).
tcf(c_81598,plain,
! [X0: $i,X1: $i] :
( ( sK22(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_306]) ).
tcf(c_81639,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8273,c_81598]) ).
tcf(c_81891,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X1)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8256,c_152]) ).
tcf(c_81892,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X1)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8243,c_152]) ).
tcf(c_81893,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_8275,c_152]) ).
tcf(c_81894,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_80651,c_152]) ).
tcf(c_82050,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_81893,c_292]) ).
tcf(c_82053,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,X1)) ),
inference(superposition,[status(thm)],[c_81893,c_8258]) ).
tcf(c_82821,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(X1,X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_160,c_301]) ).
tcf(c_82837,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6667,c_8224,c_8226]) ).
tcf(c_82844,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_82053,c_82837]) ).
tcf(c_83251,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = k1_funct_1(sK4,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6669,c_8224,c_8226]) ).
tcf(c_83258,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)) = k1_funct_1(sK4,sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_173,c_83251]) ).
tcf(c_83875,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(iPr_def_20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_158]) ).
tcf(c_83891,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_83875,c_8226,c_8227]) ).
tcf(c_83892,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83891,c_8273]) ).
tcf(c_84070,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_81355,c_83892]) ).
tcf(c_85510,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_84070,c_13059,c_84070]) ).
tcf(c_87397,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(sK2))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_82821,c_81894]) ).
tcf(c_87409,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_20)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_87397,c_8226]) ).
tcf(c_87410,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87409,c_8273]) ).
tcf(c_87480,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_82050,c_87410]) ).
tcf(c_87906,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(global_subsumption_just,[status(thm)],[c_87480,c_18648,c_87480]) ).
tcf(c_87919,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_87906,c_292]) ).
tcf(c_91015,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_83258,c_87919]) ).
tcf(c_91025,plain,
m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_91015,c_173]) ).
tcf(c_106136,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),X1)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_81891,c_292]) ).
tcf(c_106982,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_81892,c_305]) ).
tcf(c_107276,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_59141,c_8275]) ).
tcf(c_107994,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) ) ),
inference(global_subsumption_just,[status(thm)],[c_107276,c_8253,c_8254,c_11788,c_16200,c_16201,c_19932,c_107276]) ).
tcf(c_108173,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_59144,c_8275]) ).
tcf(c_109043,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) ) ),
inference(global_subsumption_just,[status(thm)],[c_108173,c_8251,c_8252,c_11787,c_16198,c_16199,c_19887,c_108173]) ).
tcf(c_109258,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_59147,c_8275]) ).
tcf(c_109876,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) ) ),
inference(global_subsumption_just,[status(thm)],[c_109258,c_8249,c_8250,c_11786,c_16196,c_16197,c_19877,c_109258]) ).
tcf(c_110258,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_106982,c_17552,c_39447]) ).
tcf(c_110281,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_81286,c_110258]) ).
tcf(c_111364,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,X0),iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_106136,c_80631]) ).
tcf(c_111747,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK17(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_29689,c_29684,c_29689]) ).
tcf(c_112012,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK19(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_30472,c_30465,c_30472]) ).
tcf(c_112049,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK25(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_33599,c_33592,c_33599]) ).
tcf(c_112059,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_33753,c_33746,c_33753]) ).
tcf(c_112097,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_33904,c_299]) ).
tcf(c_112469,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_34034,c_299]) ).
tcf(c_112476,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_34236,c_34229,c_34236]) ).
tcf(c_112496,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_34435,c_299]) ).
tcf(c_112531,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_34772,c_299]) ).
tcf(c_112538,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_35373,c_35366,c_35373]) ).
tcf(c_112558,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29)))
| r2_hidden(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_35524,c_299]) ).
tcf(c_113026,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_36423,c_299]) ).
tcf(c_113043,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_36552,c_299]) ).
tcf(c_113060,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_36714,c_299]) ).
tcf(c_113077,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_37272,c_299]) ).
tcf(c_113094,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_37436,c_299]) ).
tcf(c_113111,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_37859,c_299]) ).
tcf(c_113128,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38165,c_299]) ).
tcf(c_113145,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38667,c_299]) ).
tcf(c_113549,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38796,c_299]) ).
tcf(c_113566,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_39090,c_299]) ).
tcf(c_113583,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29)))
| r2_hidden(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_39215,c_299]) ).
tcf(c_113600,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_39359,c_299]) ).
tcf(c_113815,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19)
| ~ m1_subset_1(sK5(sK3,k2_tex_4(sK2,X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8256,c_8245]) ).
tcf(c_113816,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(sK5(sK2,k2_tex_4(sK2,X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8243,c_8245]) ).
tcf(c_113835,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8255]) ).
tcf(c_113846,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(sK5(sK3,k2_tex_4(sK3,X0)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_8256,c_8258]) ).
tcf(c_113847,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK2)
| ( k2_tex_4(sK3,sK5(sK2,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21)
| ~ m1_subset_1(sK5(sK2,k2_tex_4(sK3,X0)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_8243,c_8258]) ).
tcf(c_113867,plain,
m1_subset_1(sK18(iPr_def_18),iPr_def_19),
inference(superposition,[status(thm)],[c_8225,c_243]) ).
tcf(c_113880,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(equality_resolution,[status(thm)],[c_8265]) ).
tcf(c_113891,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8256,c_8246]) ).
tcf(c_113893,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,X0),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8275,c_8246]) ).
tcf(c_113903,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,X0),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_113893,c_11512]) ).
tcf(c_113926,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK5(sK2,X0))) = k1_struct_0(sK3,sK5(sK2,X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8243,c_8259]) ).
tcf(c_113927,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,X0),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8275,c_8259]) ).
tcf(c_113957,plain,
m1_subset_1(sK18(iPr_def_20),iPr_def_21),
inference(superposition,[status(thm)],[c_8227,c_243]) ).
tcf(c_113963,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_113835,c_8259]) ).
tcf(c_113964,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_113835,c_8246]) ).
tcf(c_113978,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_113880,c_8259]) ).
tcf(c_113979,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK3,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_1(k2_tex_4(sK3,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_113880,c_8246]) ).
tcf(c_113997,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_113964,c_13161]) ).
tcf(c_114005,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_1(k2_tex_4(sK3,X0),sK3) ),
inference(global_subsumption_just,[status(thm)],[c_113978,c_15058]) ).
tcf(c_114041,plain,
m1_subset_1(sK18(iPr_def_28),iPr_def_29),
inference(superposition,[status(thm)],[c_8235,c_243]) ).
tcf(c_114042,plain,
~ v1_xboole_0(iPr_def_29),
inference(superposition,[status(thm)],[c_8235,c_186]) ).
tcf(c_114051,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(global_subsumption_just,[status(thm)],[c_113815,c_18647,c_111364]) ).
tcf(c_114062,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(global_subsumption_just,[status(thm)],[c_113816,c_13160]) ).
tcf(c_114070,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114062,c_113891]) ).
tcf(c_114071,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114062,c_113997]) ).
tcf(c_114081,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(global_subsumption_just,[status(thm)],[c_113846,c_15408]) ).
tcf(c_114089,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK2)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,sK5(sK2,k2_tex_4(sK3,X0)))) = k1_struct_0(sK3,sK5(sK2,k2_tex_4(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114081,c_113926]) ).
tcf(c_114090,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114081,c_114005]) ).
tcf(c_114116,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK2,sK12(iPr_def_20))) = k1_struct_0(sK2,sK12(iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_173,c_114071]) ).
tcf(c_114117,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,X0)))) = k2_tex_4(sK2,sK5(sK2,X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,X0)),k4_tex_4(sK2,sK5(sK2,X0))) = k1_struct_0(sK2,sK5(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_114071]) ).
tcf(c_114118,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) = k2_tex_4(sK2,iPr_def_27) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_27),k4_tex_4(sK2,iPr_def_27)) = k1_struct_0(sK2,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_8266,c_114071]) ).
tcf(c_114119,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_27),iPr_def_32) = k1_struct_0(sK2,iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) = k2_tex_4(sK2,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_114118,c_8238]) ).
tcf(c_114136,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_21))))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_21))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_21))),k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_21)))) = k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_21))) ) ),
inference(superposition,[status(thm)],[c_173,c_114117]) ).
tcf(c_114137,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_8249,c_114117]) ).
tcf(c_114138,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_8251,c_114117]) ).
tcf(c_114139,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_8253,c_114117]) ).
tcf(c_114140,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_18)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_18)),k4_tex_4(sK2,sK5(sK2,iPr_def_18))) = k1_struct_0(sK2,sK5(sK2,iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_8268,c_114117]) ).
tcf(c_114142,plain,
( v1_tsp_1(sK18(iPr_def_20),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK18(iPr_def_20))))) = k2_tex_4(sK2,sK5(sK2,sK18(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK18(iPr_def_20))),k4_tex_4(sK2,sK5(sK2,sK18(iPr_def_20)))) = k1_struct_0(sK2,sK5(sK2,sK18(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_113957,c_114117]) ).
tcf(c_114192,plain,
m1_subset_1(sK13(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8234,c_4091]) ).
tcf(c_114193,plain,
m1_subset_1(sK11(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8234,c_4080]) ).
tcf(c_114194,plain,
m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_29),
inference(light_normalisation,[status(thm)],[c_114193,c_8235]) ).
tcf(c_114195,plain,
m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_29),
inference(light_normalisation,[status(thm)],[c_114192,c_8235]) ).
tcf(c_114196,plain,
( ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,iPr_def_27),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k4_tex_4(sK2,iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8238,c_113927]) ).
tcf(c_114197,plain,
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,iPr_def_27),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_113903]) ).
tcf(c_114198,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_8275]) ).
tcf(c_114199,plain,
( r2_hidden(iPr_def_30,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_114198,c_8236]) ).
tcf(c_114200,plain,
r2_hidden(iPr_def_30,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_114199,c_8266]) ).
tcf(c_114201,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_114197,c_8236,c_8238]) ).
tcf(c_114202,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114201,c_8266]) ).
tcf(c_114205,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_32,k4_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_114196,c_8236,c_8237,c_8238]) ).
tcf(c_114206,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_32,k4_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114205,c_8266]) ).
tcf(c_114210,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_32,k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114200,c_8259]) ).
tcf(c_114219,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114137,c_113891]) ).
tcf(c_114220,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114219,c_8249]) ).
tcf(c_114232,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114138,c_113891]) ).
tcf(c_114233,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114232,c_8251]) ).
tcf(c_114245,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114139,c_113891]) ).
tcf(c_114246,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114245,c_8253]) ).
tcf(c_114292,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6667,c_8224,c_8226]) ).
tcf(c_114303,plain,
( v1_xboole_0(iPr_def_18)
| m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8225,c_239]) ).
tcf(c_114304,plain,
( v1_xboole_0(iPr_def_20)
| m1_subset_1(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_239]) ).
tcf(c_114305,plain,
( v1_xboole_0(iPr_def_28)
| m1_subset_1(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_8235,c_239]) ).
tcf(c_114308,plain,
m1_subset_1(sK16(iPr_def_20),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114304,c_8248]) ).
tcf(c_114309,plain,
m1_subset_1(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114303,c_8242]) ).
tcf(c_114314,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8256,c_292]) ).
tcf(c_114315,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8243,c_292]) ).
tcf(c_114316,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8275,c_292]) ).
tcf(c_114317,plain,
! [X0: $i] :
( m1_subset_1(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_113835,c_292]) ).
tcf(c_114318,plain,
! [X0: $i] :
( m1_subset_1(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_113880,c_292]) ).
tcf(c_114319,plain,
m1_subset_1(iPr_def_30,iPr_def_32),
inference(superposition,[status(thm)],[c_114200,c_292]) ).
tcf(c_114337,plain,
! [X0: $i] : sK18(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_244,c_304]) ).
tcf(c_114338,plain,
! [X0: $i] :
( ( sK22(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_304]) ).
tcf(c_114341,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_243,c_114337]) ).
tcf(c_114343,plain,
m1_subset_1(k1_xboole_0,iPr_def_19),
inference(demodulation,[status(thm)],[c_113867,c_114337]) ).
tcf(c_114344,plain,
m1_subset_1(k1_xboole_0,iPr_def_21),
inference(demodulation,[status(thm)],[c_113957,c_114337]) ).
tcf(c_114345,plain,
m1_subset_1(k1_xboole_0,iPr_def_29),
inference(demodulation,[status(thm)],[c_114041,c_114337]) ).
tcf(c_114350,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8256,c_305]) ).
tcf(c_114351,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8243,c_305]) ).
tcf(c_114352,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8275,c_305]) ).
tcf(c_114353,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_113835,c_305]) ).
tcf(c_114354,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_113880,c_305]) ).
tcf(c_114355,plain,
~ v1_xboole_0(iPr_def_32),
inference(superposition,[status(thm)],[c_114200,c_305]) ).
tcf(c_114368,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_xboole_0)))) = k2_tex_4(sK2,sK5(sK2,k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_xboole_0)),k4_tex_4(sK2,sK5(sK2,k1_xboole_0))) = k1_struct_0(sK2,sK5(sK2,k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_114344,c_114117]) ).
tcf(c_114381,plain,
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_114316]) ).
tcf(c_114382,plain,
( m1_subset_1(iPr_def_30,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_114381,c_8236]) ).
tcf(c_114383,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_20))))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_20))),k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_20)))) = k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_114308,c_114117]) ).
tcf(c_114387,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_114350,c_17174]) ).
tcf(c_114393,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK5(sK2,X0))) = k1_struct_0(sK3,sK5(sK2,X0)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_113926]) ).
tcf(c_114403,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_114351,c_17552]) ).
tcf(c_114409,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114403,c_113891]) ).
tcf(c_114425,plain,
( v1_tsp_1(iPr_def_21,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_21),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK5(sK3,iPr_def_21))))) = k2_tex_4(sK2,sK5(sK2,sK5(sK3,iPr_def_21))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK5(sK3,iPr_def_21))),k4_tex_4(sK2,sK5(sK2,sK5(sK3,iPr_def_21)))) = k1_struct_0(sK2,sK5(sK2,sK5(sK3,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_114117]) ).
tcf(c_114426,plain,
( v1_tsp_1(iPr_def_20,sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK3,iPr_def_20)))) = k2_tex_4(sK2,sK5(sK3,iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK3,iPr_def_20)),k4_tex_4(sK2,sK5(sK3,iPr_def_20))) = k1_struct_0(sK2,sK5(sK3,iPr_def_20)) )
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_114071]) ).
tcf(c_114442,plain,
( v1_tsp_1(iPr_def_21,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_21),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK5(sK2,iPr_def_21))))) = k2_tex_4(sK2,sK5(sK2,sK5(sK2,iPr_def_21))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK5(sK2,iPr_def_21))),k4_tex_4(sK2,sK5(sK2,sK5(sK2,iPr_def_21)))) = k1_struct_0(sK2,sK5(sK2,sK5(sK2,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_114117]) ).
tcf(c_114443,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_20)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_20)),k4_tex_4(sK2,sK5(sK2,iPr_def_20))) = k1_struct_0(sK2,sK5(sK2,iPr_def_20)) )
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_114071]) ).
tcf(c_114453,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6675,c_8226,c_8227]) ).
tcf(c_114460,plain,
( m1_subset_1(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_114453]) ).
tcf(c_114461,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k4_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k4_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k4_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k4_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k4_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114453,c_114117]) ).
tcf(c_114462,plain,
m1_subset_1(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114460,c_8266]) ).
tcf(c_114471,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r2_hidden(X0,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8256,c_61]) ).
tcf(c_114472,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(X0,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8243,c_61]) ).
tcf(c_114473,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_8275,c_61]) ).
tcf(c_114474,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,X0),X0) ),
inference(superposition,[status(thm)],[c_113835,c_61]) ).
tcf(c_114475,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(k2_tex_4(sK3,X0),X0) ),
inference(superposition,[status(thm)],[c_113880,c_61]) ).
tcf(c_114476,plain,
~ r2_hidden(iPr_def_32,iPr_def_30),
inference(superposition,[status(thm)],[c_114200,c_61]) ).
tcf(c_114489,plain,
! [X0: $i] : k3_xboole_0(k1_xboole_0,X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_298,c_144]) ).
tcf(c_114497,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_151,c_61]) ).
tcf(c_114498,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_151,c_305]) ).
tcf(c_114499,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK6(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_151,c_292]) ).
tcf(c_114500,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK6(X0,X1))) = k1_struct_0(sK3,sK6(X0,X1)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151,c_8259]) ).
tcf(c_114501,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK6(X0,X1))) = k1_struct_0(sK2,sK6(X0,X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151,c_8246]) ).
tcf(c_114502,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK6(k2_tex_4(sK3,X0),X1),iPr_def_18) ),
inference(superposition,[status(thm)],[c_151,c_8258]) ).
tcf(c_114503,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK6(k2_tex_4(sK2,X0),X1),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151,c_8245]) ).
tcf(c_114526,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_32)),k4_tex_4(sK2,sK5(sK2,iPr_def_32))) = k1_struct_0(sK2,sK5(sK2,iPr_def_32)) ) ),
inference(superposition,[status(thm)],[c_114462,c_114117]) ).
tcf(c_114537,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r2_hidden(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_114473]) ).
tcf(c_114538,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r2_hidden(iPr_def_32,iPr_def_30) ),
inference(light_normalisation,[status(thm)],[c_114537,c_8236]) ).
tcf(c_114559,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK6(X0,X1))) = k1_struct_0(sK3,sK6(X0,X1)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_114500]) ).
tcf(c_114560,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1))) = k1_struct_0(sK3,sK6(k2_tex_4(sK3,X0),X1)) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114081,c_114500]) ).
tcf(c_114584,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK6(X0,X1))) = k1_struct_0(sK2,sK6(X0,X1)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114403,c_114501]) ).
tcf(c_114585,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1))) = k1_struct_0(sK2,sK6(k2_tex_4(sK2,X0),X1)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114062,c_114501]) ).
tcf(c_114586,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114137,c_114501]) ).
tcf(c_114587,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114138,c_114501]) ).
tcf(c_114588,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114139,c_114501]) ).
tcf(c_114602,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114588,c_8253]) ).
tcf(c_114607,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114587,c_8251]) ).
tcf(c_114612,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114586,c_8249]) ).
tcf(c_114621,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(global_subsumption_just,[status(thm)],[c_114502,c_18334,c_78766]) ).
tcf(c_114629,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(global_subsumption_just,[status(thm)],[c_114503,c_18647,c_78767]) ).
tcf(c_114637,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6679,c_8226,c_8227]) ).
tcf(c_114644,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_struct_0(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k1_struct_0(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_struct_0(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k1_struct_0(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k1_struct_0(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114637,c_114117]) ).
tcf(c_114653,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_300]) ).
tcf(c_114654,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8227,c_300]) ).
tcf(c_114655,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_300]) ).
tcf(c_114667,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_173,c_301]) ).
tcf(c_114668,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK16(X0),X0) ),
inference(superposition,[status(thm)],[c_239,c_301]) ).
tcf(c_114670,plain,
! [X0: $i,X1: $i] : r1_tarski(sK11(X0,X1),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_4080,c_301]) ).
tcf(c_114671,plain,
! [X0: $i,X1: $i] : r1_tarski(sK13(X0,X1),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_4091,c_301]) ).
tcf(c_114672,plain,
r1_tarski(sK23(sK20),u1_struct_0(sK20)),
inference(superposition,[status(thm)],[c_6265,c_301]) ).
tcf(c_114673,plain,
( r1_tarski(sK26(sK20),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(superposition,[status(thm)],[c_6246,c_301]) ).
tcf(c_114674,plain,
( r1_tarski(sK21(sK20),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(superposition,[status(thm)],[c_6282,c_301]) ).
tcf(c_114675,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(X0),sK3)
| r1_tarski(sK5(sK3,k1_zfmisc_1(X0)),X0)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_301]) ).
tcf(c_114676,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(X0),sK2)
| r1_tarski(sK5(sK2,k1_zfmisc_1(X0)),X0)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_301]) ).
tcf(c_114677,plain,
! [X0: $i] : r1_tarski(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_114341,c_301]) ).
tcf(c_114678,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8225,c_301]) ).
tcf(c_114679,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_301]) ).
tcf(c_114680,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_8235,c_301]) ).
tcf(c_114704,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,iPr_def_27),iPr_def_30) ),
inference(superposition,[status(thm)],[c_8236,c_114473]) ).
tcf(c_114705,plain,
( m1_subset_1(iPr_def_30,k4_tex_4(sK2,iPr_def_27))
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8236,c_114316]) ).
tcf(c_114706,plain,
( m1_subset_1(iPr_def_30,iPr_def_18)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8236,c_114292]) ).
tcf(c_114707,plain,
( r2_hidden(iPr_def_30,k4_tex_4(sK2,iPr_def_27))
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8236,c_8275]) ).
tcf(c_114708,plain,
m1_subset_1(iPr_def_30,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_114706,c_8266]) ).
tcf(c_114712,plain,
r1_tarski(sK12(iPr_def_19),iPr_def_18),
inference(superposition,[status(thm)],[c_8225,c_114667]) ).
tcf(c_114713,plain,
r1_tarski(sK12(iPr_def_21),iPr_def_20),
inference(superposition,[status(thm)],[c_8227,c_114667]) ).
tcf(c_114714,plain,
r1_tarski(sK12(iPr_def_29),iPr_def_28),
inference(superposition,[status(thm)],[c_8235,c_114667]) ).
tcf(c_114767,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_6697]) ).
tcf(c_114768,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_6697]) ).
tcf(c_114769,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6697,c_301]) ).
tcf(c_114772,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_114768,c_8225]) ).
tcf(c_114773,plain,
m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114772,c_8269]) ).
tcf(c_114774,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_114767,c_8227]) ).
tcf(c_114775,plain,
m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114774,c_8273]) ).
tcf(c_114787,plain,
( v1_xboole_0(iPr_def_20)
| v1_xboole_0(iPr_def_18)
| ~ v1_xboole_0(iPr_def_28) ),
inference(superposition,[status(thm)],[c_8234,c_218]) ).
tcf(c_114788,plain,
~ v1_xboole_0(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_114787,c_8248,c_8242]) ).
tcf(c_114793,plain,
( m1_subset_1(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_254]) ).
tcf(c_114794,plain,
( m1_subset_1(sK22(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_254]) ).
tcf(c_114795,plain,
! [X0: $i] :
( r1_tarski(sK22(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_301]) ).
tcf(c_114798,plain,
( m1_subset_1(sK22(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_114794,c_8225]) ).
tcf(c_114799,plain,
m1_subset_1(sK22(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114798,c_8269]) ).
tcf(c_114800,plain,
( m1_subset_1(sK22(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_114793,c_8227]) ).
tcf(c_114801,plain,
m1_subset_1(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114800,c_8273]) ).
tcf(c_114808,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_300,c_299]) ).
tcf(c_114809,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) ),
inference(superposition,[status(thm)],[c_173,c_299]) ).
tcf(c_114810,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK16(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_239,c_299]) ).
tcf(c_114811,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_299]) ).
tcf(c_114813,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| r2_hidden(sK11(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_4080,c_299]) ).
tcf(c_114814,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| r2_hidden(sK13(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_4091,c_299]) ).
tcf(c_114815,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK10(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6697,c_299]) ).
tcf(c_114816,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20)))
| r2_hidden(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_6265,c_299]) ).
tcf(c_114817,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20)))
| r2_hidden(sK26(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(superposition,[status(thm)],[c_6246,c_299]) ).
tcf(c_114818,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20)))
| r2_hidden(sK21(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(superposition,[status(thm)],[c_6282,c_299]) ).
tcf(c_114819,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_17,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8241,c_299]) ).
tcf(c_114820,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_20)
| v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_299]) ).
tcf(c_114821,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8249,c_299]) ).
tcf(c_114822,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8251,c_299]) ).
tcf(c_114823,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8253,c_299]) ).
tcf(c_114824,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_18)
| v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8257,c_299]) ).
tcf(c_114825,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8261,c_299]) ).
tcf(c_114826,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8263,c_299]) ).
tcf(c_114827,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8266,c_299]) ).
tcf(c_114828,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8268,c_299]) ).
tcf(c_114829,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK4,iPr_def_29) ),
inference(superposition,[status(thm)],[c_8271,c_299]) ).
tcf(c_114832,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(k4_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114453,c_299]) ).
tcf(c_114833,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_29) ),
inference(superposition,[status(thm)],[c_114194,c_299]) ).
tcf(c_114834,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_29) ),
inference(superposition,[status(thm)],[c_114195,c_299]) ).
tcf(c_114835,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114462,c_299]) ).
tcf(c_114836,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114309,c_299]) ).
tcf(c_114837,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114308,c_299]) ).
tcf(c_114844,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_18)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114292,c_299]) ).
tcf(c_114845,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_114341,c_299]) ).
tcf(c_114846,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(k1_xboole_0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114343,c_299]) ).
tcf(c_114847,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(k1_xboole_0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114344,c_299]) ).
tcf(c_114848,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(k1_xboole_0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_114345,c_299]) ).
tcf(c_114849,plain,
( v1_xboole_0(iPr_def_18)
| r2_hidden(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114708,c_299]) ).
tcf(c_114850,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(k1_struct_0(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114637,c_299]) ).
tcf(c_114851,plain,
r2_hidden(iPr_def_30,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_114849,c_8242]) ).
tcf(c_114852,plain,
r2_hidden(k1_xboole_0,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_114848,c_114042]) ).
tcf(c_114853,plain,
r2_hidden(k1_xboole_0,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114847,c_14791]) ).
tcf(c_114854,plain,
r2_hidden(k1_xboole_0,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114846,c_14510]) ).
tcf(c_114855,plain,
r2_hidden(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114835,c_14791]) ).
tcf(c_114856,plain,
r2_hidden(sK4,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_114829,c_114042]) ).
tcf(c_114857,plain,
r2_hidden(iPr_def_18,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114828,c_14791]) ).
tcf(c_114858,plain,
r2_hidden(iPr_def_27,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_114827,c_8248]) ).
tcf(c_114859,plain,
r2_hidden(iPr_def_26,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114826,c_14510]) ).
tcf(c_114860,plain,
r2_hidden(iPr_def_25,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114825,c_14510]) ).
tcf(c_114861,plain,
r2_hidden(iPr_def_24,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114823,c_14791]) ).
tcf(c_114862,plain,
r2_hidden(iPr_def_23,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114822,c_14791]) ).
tcf(c_114863,plain,
r2_hidden(iPr_def_22,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114821,c_14791]) ).
tcf(c_114864,plain,
r2_hidden(iPr_def_17,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114819,c_14510]) ).
tcf(c_114865,plain,
r2_hidden(sK16(iPr_def_20),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114837,c_14791]) ).
tcf(c_114866,plain,
r2_hidden(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114836,c_14510]) ).
tcf(c_114871,plain,
! [X0: $i] : r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_114845,c_186]) ).
tcf(c_114872,plain,
r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_114834,c_114042]) ).
tcf(c_114873,plain,
r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_114833,c_114042]) ).
tcf(c_114874,plain,
r2_hidden(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))),
inference(forward_subsumption_resolution,[status(thm)],[c_114816,c_186]) ).
tcf(c_114875,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK16(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114810,c_186]) ).
tcf(c_114878,plain,
! [X0: $i] :
( r2_hidden(k1_struct_0(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114850,c_14791]) ).
tcf(c_114881,plain,
! [X0: $i] :
( r2_hidden(k4_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114832,c_14791]) ).
tcf(c_114884,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114808,c_186]) ).
tcf(c_114887,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114844,c_8242]) ).
tcf(c_114890,plain,
! [X0: $i,X1: $i] : r2_hidden(sK13(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_114814,c_186]) ).
tcf(c_114891,plain,
! [X0: $i,X1: $i] : r2_hidden(sK11(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_114813,c_186]) ).
tcf(c_114892,plain,
! [X0: $i] :
( r2_hidden(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114811,c_186]) ).
tcf(c_114895,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114824,c_8242]) ).
tcf(c_114899,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114820,c_8248]) ).
tcf(c_114903,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114815,c_186]) ).
tcf(c_114906,plain,
( r2_hidden(sK21(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114818,c_186]) ).
tcf(c_114910,plain,
( r2_hidden(sK26(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114817,c_186]) ).
tcf(c_114918,plain,
~ r2_hidden(iPr_def_18,iPr_def_30),
inference(superposition,[status(thm)],[c_114851,c_61]) ).
tcf(c_114921,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114851,c_8259]) ).
tcf(c_114922,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114851,c_8246]) ).
tcf(c_114923,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_18,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114922,c_8268]) ).
tcf(c_114926,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_114921,c_8237]) ).
tcf(c_114930,plain,
~ r2_hidden(iPr_def_29,k1_xboole_0),
inference(superposition,[status(thm)],[c_114852,c_61]) ).
tcf(c_114933,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114852,c_8259]) ).
tcf(c_114934,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114852,c_8246]) ).
tcf(c_114941,plain,
~ r2_hidden(iPr_def_21,k1_xboole_0),
inference(superposition,[status(thm)],[c_114853,c_61]) ).
tcf(c_114944,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114853,c_8259]) ).
tcf(c_114945,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114853,c_8246]) ).
tcf(c_114955,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK22(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114801,c_299]) ).
tcf(c_114956,plain,
( v1_tsp_1(sK22(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK22(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK22(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK22(sK2))),k4_tex_4(sK2,sK5(sK2,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK22(sK2))) ) ),
inference(superposition,[status(thm)],[c_114801,c_114117]) ).
tcf(c_114957,plain,
r2_hidden(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114955,c_14791]) ).
tcf(c_114961,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114775,c_299]) ).
tcf(c_114962,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_114775,c_114117]) ).
tcf(c_114963,plain,
r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114961,c_14791]) ).
tcf(c_114969,plain,
v1_tsp_1(sK22(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_114956,c_60,c_335,c_11841]) ).
tcf(c_114971,plain,
! [X0: $i] :
( r1_tarski(sK22(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK6(sK22(sK2),X0))) = k1_struct_0(sK2,sK6(sK22(sK2),X0)) )
| ~ m1_subset_1(sK22(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114969,c_114501]) ).
tcf(c_114972,plain,
( v1_tsp_1(sK22(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) )
| ~ m1_subset_1(sK22(sK2),iPr_def_21)
| ~ m1_subset_1(sK22(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114969,c_113891]) ).
tcf(c_114973,plain,
! [X0: $i] :
( r1_tarski(sK22(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK6(sK22(sK2),X0))) = k1_struct_0(sK2,sK6(sK22(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114971,c_114801]) ).
tcf(c_114976,plain,
( v1_tsp_1(sK22(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) )
| ~ m1_subset_1(sK22(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114972,c_114801]) ).
tcf(c_114989,plain,
( v1_tsp_1(sK22(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) ) ),
inference(global_subsumption_just,[status(thm)],[c_114976,c_60,c_335,c_45836]) ).
tcf(c_114995,plain,
! [X0: $i] :
( r1_tarski(sK22(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK5(sK3,sK22(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK22(sK2))) )
| ( k5_subset_1(iPr_def_18,sK22(sK2),k4_tex_4(sK3,sK6(sK22(sK2),X0))) = k1_struct_0(sK3,sK6(sK22(sK2),X0)) )
| ~ m1_subset_1(sK22(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114989,c_114500]) ).
tcf(c_115008,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114962,c_114501]) ).
tcf(c_115009,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114962,c_113891]) ).
tcf(c_115010,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115008,c_114775]) ).
tcf(c_115015,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115009,c_114775]) ).
tcf(c_115039,plain,
~ r2_hidden(iPr_def_19,k1_xboole_0),
inference(superposition,[status(thm)],[c_114854,c_61]) ).
tcf(c_115042,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114854,c_8259]) ).
tcf(c_115043,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114854,c_8246]) ).
tcf(c_115059,plain,
! [X0: $i,X1: $i] :
( ( sK22(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_306]) ).
tcf(c_115068,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_6701]) ).
tcf(c_115069,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_6701]) ).
tcf(c_115070,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(u1_struct_0(sK14(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6701,c_299]) ).
tcf(c_115071,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6701,c_301]) ).
tcf(c_115074,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_115069,c_8225]) ).
tcf(c_115075,plain,
m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115074,c_8269]) ).
tcf(c_115076,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_115068,c_8227]) ).
tcf(c_115077,plain,
m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115076,c_8273]) ).
tcf(c_115078,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115070,c_186]) ).
tcf(c_115087,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_xboole_0(k4_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_6757,c_8224]) ).
tcf(c_115096,plain,
~ r2_hidden(iPr_def_21,iPr_def_32),
inference(superposition,[status(thm)],[c_114855,c_61]) ).
tcf(c_115099,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_32)) = k1_struct_0(sK3,iPr_def_32) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114855,c_8259]) ).
tcf(c_115100,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_32)) = k1_struct_0(sK2,iPr_def_32) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114855,c_8246]) ).
tcf(c_115107,plain,
~ r2_hidden(iPr_def_29,sK4),
inference(superposition,[status(thm)],[c_114856,c_61]) ).
tcf(c_115110,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,sK4)) = k1_struct_0(sK3,sK4) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114856,c_8259]) ).
tcf(c_115111,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,sK4)) = k1_struct_0(sK2,sK4) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114856,c_8246]) ).
tcf(c_115123,plain,
~ r2_hidden(iPr_def_21,iPr_def_18),
inference(superposition,[status(thm)],[c_114857,c_61]) ).
tcf(c_115126,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_18)) = k1_struct_0(sK3,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114857,c_8259]) ).
tcf(c_115127,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_18)) = k1_struct_0(sK2,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114857,c_8246]) ).
tcf(c_115149,plain,
~ r2_hidden(iPr_def_20,iPr_def_27),
inference(superposition,[status(thm)],[c_114858,c_61]) ).
tcf(c_115152,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,iPr_def_27)) = k1_struct_0(sK3,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114858,c_8259]) ).
tcf(c_115153,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,iPr_def_27)) = k1_struct_0(sK2,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114858,c_8246]) ).
tcf(c_115154,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,iPr_def_32) = k1_struct_0(sK2,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_115153,c_8238]) ).
tcf(c_115161,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115077,c_299]) ).
tcf(c_115162,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115077,c_114117]) ).
tcf(c_115163,plain,
r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115161,c_14791]) ).
tcf(c_115175,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115162,c_114501]) ).
tcf(c_115176,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115162,c_113891]) ).
tcf(c_115177,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115175,c_115077]) ).
tcf(c_115182,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115176,c_115077]) ).
tcf(c_115207,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK22(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114799,c_299]) ).
tcf(c_115208,plain,
r2_hidden(sK22(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115207,c_14510]) ).
tcf(c_115243,plain,
~ r2_hidden(iPr_def_21,sK22(sK2)),
inference(superposition,[status(thm)],[c_114957,c_61]) ).
tcf(c_115246,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK22(sK2))) = k1_struct_0(sK3,sK22(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114957,c_8259]) ).
tcf(c_115247,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK22(sK2))) = k1_struct_0(sK2,sK22(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114957,c_8246]) ).
tcf(c_115254,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114773,c_299]) ).
tcf(c_115255,plain,
r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115254,c_14510]) ).
tcf(c_115256,plain,
~ r2_hidden(iPr_def_19,iPr_def_26),
inference(superposition,[status(thm)],[c_114859,c_61]) ).
tcf(c_115259,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,iPr_def_26)) = k1_struct_0(sK3,iPr_def_26) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114859,c_8259]) ).
tcf(c_115260,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,iPr_def_26)) = k1_struct_0(sK2,iPr_def_26) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114859,c_8246]) ).
tcf(c_115273,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r2_hidden(sK6(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_152]) ).
tcf(c_115274,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X1)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8256,c_152]) ).
tcf(c_115275,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X1)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8243,c_152]) ).
tcf(c_115276,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_8275,c_152]) ).
tcf(c_115277,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_113835,c_152]) ).
tcf(c_115278,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_113880,c_152]) ).
tcf(c_115279,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_114200,c_152]) ).
tcf(c_115280,plain,
! [X0: $i] :
( r2_hidden(iPr_def_26,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114859,c_152]) ).
tcf(c_115281,plain,
! [X0: $i] :
( r2_hidden(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_114858,c_152]) ).
tcf(c_115282,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114857,c_152]) ).
tcf(c_115283,plain,
! [X0: $i] :
( r2_hidden(sK4,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114856,c_152]) ).
tcf(c_115285,plain,
! [X0: $i] :
( r2_hidden(iPr_def_32,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114855,c_152]) ).
tcf(c_115286,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114854,c_152]) ).
tcf(c_115287,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114853,c_152]) ).
tcf(c_115288,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114852,c_152]) ).
tcf(c_115289,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_114851,c_152]) ).
tcf(c_115290,plain,
! [X0: $i] :
( r2_hidden(sK22(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114957,c_152]) ).
tcf(c_115351,plain,
( m1_subset_1(sK17(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_241]) ).
tcf(c_115352,plain,
( m1_subset_1(sK17(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_241]) ).
tcf(c_115353,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_241,c_299]) ).
tcf(c_115354,plain,
! [X0: $i] :
( r1_tarski(sK17(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_241,c_301]) ).
tcf(c_115358,plain,
( m1_subset_1(sK17(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_115352,c_8225]) ).
tcf(c_115359,plain,
m1_subset_1(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115358,c_8269,c_8267]) ).
tcf(c_115360,plain,
( m1_subset_1(sK17(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_115351,c_8227]) ).
tcf(c_115361,plain,
m1_subset_1(sK17(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115360,c_8273,c_8274]) ).
tcf(c_115362,plain,
! [X0: $i] :
( r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115353,c_186]) ).
tcf(c_115377,plain,
( m1_subset_1(sK19(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_245]) ).
tcf(c_115378,plain,
( m1_subset_1(sK19(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_245]) ).
tcf(c_115379,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK19(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_245,c_299]) ).
tcf(c_115380,plain,
! [X0: $i] :
( r1_tarski(sK19(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_245,c_301]) ).
tcf(c_115384,plain,
( m1_subset_1(sK19(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_115378,c_8225]) ).
tcf(c_115385,plain,
m1_subset_1(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115384,c_8269,c_8267]) ).
tcf(c_115386,plain,
( m1_subset_1(sK19(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_115377,c_8227]) ).
tcf(c_115387,plain,
m1_subset_1(sK19(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115386,c_8273,c_8274]) ).
tcf(c_115388,plain,
! [X0: $i] :
( r2_hidden(sK19(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115379,c_186]) ).
tcf(c_115422,plain,
( m1_subset_1(sK25(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_276]) ).
tcf(c_115423,plain,
( m1_subset_1(sK25(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_276]) ).
tcf(c_115424,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_276,c_299]) ).
tcf(c_115425,plain,
! [X0: $i] :
( r1_tarski(sK25(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_276,c_301]) ).
tcf(c_115429,plain,
( m1_subset_1(sK25(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_115423,c_8225]) ).
tcf(c_115430,plain,
m1_subset_1(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115429,c_8269,c_8267]) ).
tcf(c_115431,plain,
( m1_subset_1(sK25(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_115422,c_8227]) ).
tcf(c_115432,plain,
m1_subset_1(sK25(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115431,c_8273,c_8274]) ).
tcf(c_115433,plain,
! [X0: $i] :
( r2_hidden(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115424,c_186]) ).
tcf(c_115437,plain,
! [X0: $i] :
( r2_hidden(iPr_def_25,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114860,c_152]) ).
tcf(c_115438,plain,
~ r2_hidden(iPr_def_19,iPr_def_25),
inference(superposition,[status(thm)],[c_114860,c_61]) ).
tcf(c_115441,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,iPr_def_25)) = k1_struct_0(sK3,iPr_def_25) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114860,c_8259]) ).
tcf(c_115442,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,iPr_def_25)) = k1_struct_0(sK2,iPr_def_25) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114860,c_8246]) ).
tcf(c_115451,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114861,c_152]) ).
tcf(c_115452,plain,
~ r2_hidden(iPr_def_21,iPr_def_24),
inference(superposition,[status(thm)],[c_114861,c_61]) ).
tcf(c_115455,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_24)) = k1_struct_0(sK3,iPr_def_24) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114861,c_8259]) ).
tcf(c_115456,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_24)) = k1_struct_0(sK2,iPr_def_24) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114861,c_8246]) ).
tcf(c_115465,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114862,c_152]) ).
tcf(c_115466,plain,
~ r2_hidden(iPr_def_21,iPr_def_23),
inference(superposition,[status(thm)],[c_114862,c_61]) ).
tcf(c_115469,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_23)) = k1_struct_0(sK3,iPr_def_23) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114862,c_8259]) ).
tcf(c_115470,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_23)) = k1_struct_0(sK2,iPr_def_23) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114862,c_8246]) ).
tcf(c_115484,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114863,c_152]) ).
tcf(c_115485,plain,
~ r2_hidden(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_114863,c_61]) ).
tcf(c_115488,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_22)) = k1_struct_0(sK3,iPr_def_22) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114863,c_8259]) ).
tcf(c_115489,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_22)) = k1_struct_0(sK2,iPr_def_22) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114863,c_8246]) ).
tcf(c_115498,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115361,c_299]) ).
tcf(c_115499,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115361,c_114117]) ).
tcf(c_115500,plain,
r2_hidden(sK17(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115498,c_14791]) ).
tcf(c_115505,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115387,c_299]) ).
tcf(c_115506,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_115387,c_114117]) ).
tcf(c_115507,plain,
r2_hidden(sK19(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115505,c_14791]) ).
tcf(c_115515,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115432,c_299]) ).
tcf(c_115516,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_115432,c_114117]) ).
tcf(c_115517,plain,
r2_hidden(sK25(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_115515,c_14791]) ).
tcf(c_115527,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),X0) ),
inference(superposition,[status(thm)],[c_8236,c_115276]) ).
tcf(c_115528,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_152]) ).
tcf(c_115529,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X1),X0)
| ~ r2_hidden(X0,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_115276,c_61]) ).
tcf(c_115530,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_305]) ).
tcf(c_115531,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_292]) ).
tcf(c_115532,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_8259]) ).
tcf(c_115533,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_8246]) ).
tcf(c_115534,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,X1)) ),
inference(superposition,[status(thm)],[c_115276,c_8258]) ).
tcf(c_115535,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK2,X1)) ),
inference(superposition,[status(thm)],[c_115276,c_8245]) ).
tcf(c_115536,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) ),
inference(superposition,[status(thm)],[c_115276,c_114471]) ).
tcf(c_115537,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) ),
inference(superposition,[status(thm)],[c_115276,c_114472]) ).
tcf(c_115541,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(light_normalisation,[status(thm)],[c_115527,c_8238]) ).
tcf(c_115605,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_8238,c_115530]) ).
tcf(c_115606,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115605,c_8266]) ).
tcf(c_115615,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),X0) ),
inference(superposition,[status(thm)],[c_8236,c_115531]) ).
tcf(c_115617,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_115531,c_301]) ).
tcf(c_115618,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))))) = k2_tex_4(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))),k4_tex_4(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115531,c_114117]) ).
tcf(c_115619,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115531,c_114071]) ).
tcf(c_115620,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(light_normalisation,[status(thm)],[c_115615,c_8238]) ).
tcf(c_115621,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115620,c_8266]) ).
tcf(c_115642,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)) ),
inference(superposition,[status(thm)],[c_151,c_115529]) ).
tcf(c_115645,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_115276,c_115529]) ).
tcf(c_115646,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r2_hidden(X0,iPr_def_30)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),X0) ),
inference(superposition,[status(thm)],[c_8236,c_115529]) ).
tcf(c_115647,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r2_hidden(X0,iPr_def_30) ),
inference(light_normalisation,[status(thm)],[c_115646,c_8238]) ).
tcf(c_115648,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_32,X0)
| ~ r2_hidden(X0,iPr_def_30) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115647,c_8266]) ).
tcf(c_115688,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8238,c_115528]) ).
tcf(c_115689,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_115688,c_8236]) ).
tcf(c_115690,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115689,c_8266]) ).
tcf(c_115694,plain,
! [X0: $i] :
( r2_hidden(iPr_def_17,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114864,c_152]) ).
tcf(c_115695,plain,
~ r2_hidden(iPr_def_19,iPr_def_17),
inference(superposition,[status(thm)],[c_114864,c_61]) ).
tcf(c_115698,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,iPr_def_17)) = k1_struct_0(sK3,iPr_def_17) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114864,c_8259]) ).
tcf(c_115699,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,iPr_def_17)) = k1_struct_0(sK2,iPr_def_17) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114864,c_8246]) ).
tcf(c_115708,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6673,c_8226]) ).
tcf(c_115715,plain,
k1_struct_0(sK2,sK12(iPr_def_20)) = k1_tarski(sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_173,c_115708]) ).
tcf(c_115716,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k1_struct_0(sK2,sK5(sK2,X0)) = k1_tarski(sK5(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_115708]) ).
tcf(c_115717,plain,
k1_struct_0(sK2,iPr_def_27) = k1_tarski(iPr_def_27),
inference(superposition,[status(thm)],[c_8266,c_115708]) ).
tcf(c_115718,plain,
( v1_tsp_1(iPr_def_20,sK3)
| ( k1_struct_0(sK2,sK5(sK3,iPr_def_20)) = k1_tarski(sK5(sK3,iPr_def_20)) )
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_115708]) ).
tcf(c_115720,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115531,c_115708]) ).
tcf(c_115737,plain,
k1_struct_0(sK20,sK12(u1_struct_0(sK20))) = k1_tarski(sK12(u1_struct_0(sK20))),
inference(superposition,[status(thm)],[c_173,c_6743]) ).
tcf(c_115738,plain,
( v1_tsp_1(u1_struct_0(sK20),sK3)
| ( k1_struct_0(sK20,sK5(sK3,u1_struct_0(sK20))) = k1_tarski(sK5(sK3,u1_struct_0(sK20))) )
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_6743]) ).
tcf(c_115739,plain,
( v1_tsp_1(u1_struct_0(sK20),sK2)
| ( k1_struct_0(sK20,sK5(sK2,u1_struct_0(sK20))) = k1_tarski(sK5(sK2,u1_struct_0(sK20))) )
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_6743]) ).
tcf(c_115740,plain,
! [X0: $i] :
( ( k1_struct_0(sK20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_115531,c_6743]) ).
tcf(c_115754,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20)))
| r2_hidden(k1_struct_0(sK20,X0),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_6745,c_299]) ).
tcf(c_115755,plain,
! [X0: $i] :
( r1_tarski(k1_struct_0(sK20,X0),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_6745,c_301]) ).
tcf(c_115758,plain,
! [X0: $i] :
( r2_hidden(k1_struct_0(sK20,X0),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115754,c_186]) ).
tcf(c_115761,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6753,c_8224]) ).
tcf(c_115768,plain,
k1_struct_0(sK3,sK12(iPr_def_18)) = k1_tarski(sK12(iPr_def_18)),
inference(superposition,[status(thm)],[c_173,c_115761]) ).
tcf(c_115769,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k1_struct_0(sK3,sK5(sK3,X0)) = k1_tarski(sK5(sK3,X0)) )
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8257,c_115761]) ).
tcf(c_115771,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ( k1_struct_0(sK3,sK5(sK2,iPr_def_18)) = k1_tarski(sK5(sK2,iPr_def_18)) )
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_115761]) ).
tcf(c_115772,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114292,c_115761]) ).
tcf(c_115773,plain,
k1_struct_0(sK3,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_114708,c_115761]) ).
tcf(c_115775,plain,
k1_tarski(iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_115773,c_8237]) ).
tcf(c_115776,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ( k1_struct_0(sK3,sK5(sK2,iPr_def_18)) = k1_tarski(sK5(sK2,iPr_def_18)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115771,c_8268]) ).
tcf(c_115799,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114865,c_152]) ).
tcf(c_115800,plain,
~ r2_hidden(iPr_def_21,sK16(iPr_def_20)),
inference(superposition,[status(thm)],[c_114865,c_61]) ).
tcf(c_115803,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114865,c_8259]) ).
tcf(c_115804,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114865,c_8246]) ).
tcf(c_115821,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_115645]) ).
tcf(c_115822,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_30)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_8236,c_115645]) ).
tcf(c_115823,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_30)
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(light_normalisation,[status(thm)],[c_115822,c_8238]) ).
tcf(c_115824,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_30)
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115823,c_8266]) ).
tcf(c_115838,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),sK3)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_19)
| ~ r1_tarski(iPr_def_32,sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) ),
inference(superposition,[status(thm)],[c_8238,c_115536]) ).
tcf(c_115839,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),sK3)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK5(sK3,iPr_def_30))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8236,c_115536]) ).
tcf(c_115840,plain,
( v1_tsp_1(iPr_def_30,sK3)
| ~ m1_subset_1(iPr_def_30,iPr_def_19)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK5(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_115839,c_8236,c_8238]) ).
tcf(c_115841,plain,
( v1_tsp_1(iPr_def_30,sK3)
| ~ m1_subset_1(iPr_def_30,iPr_def_19)
| ~ r1_tarski(iPr_def_32,sK5(sK3,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115840,c_8266]) ).
tcf(c_115855,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_21)
| ~ r1_tarski(iPr_def_32,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) ),
inference(superposition,[status(thm)],[c_8238,c_115537]) ).
tcf(c_115856,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK5(sK2,iPr_def_30))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_115537]) ).
tcf(c_115857,plain,
( v1_tsp_1(iPr_def_30,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK5(sK2,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_115856,c_8236,c_8238]) ).
tcf(c_115858,plain,
( v1_tsp_1(iPr_def_30,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_21)
| ~ r1_tarski(iPr_def_32,sK5(sK2,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115857,c_8266]) ).
tcf(c_115864,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_115534,c_82844]) ).
tcf(c_115874,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8238,c_115864]) ).
tcf(c_115875,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,iPr_def_30) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_115874,c_8236]) ).
tcf(c_115876,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,iPr_def_30) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115875,c_8266]) ).
tcf(c_115880,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK2,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_115535,c_12178,c_87919]) ).
tcf(c_115890,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8238,c_115880]) ).
tcf(c_115891,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,iPr_def_30) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_115890,c_8236]) ).
tcf(c_115892,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,iPr_def_30) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115891,c_8266]) ).
tcf(c_115908,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8238,c_115532]) ).
tcf(c_115909,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_115908,c_8236,c_8237]) ).
tcf(c_115910,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115909,c_8266]) ).
tcf(c_115926,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8238,c_115533]) ).
tcf(c_115927,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_115926,c_8236]) ).
tcf(c_115928,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115927,c_8266]) ).
tcf(c_115939,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115499,c_114501]) ).
tcf(c_115940,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115499,c_113891]) ).
tcf(c_115941,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115939,c_115361]) ).
tcf(c_115946,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115940,c_115361]) ).
tcf(c_115952,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114866,c_152]) ).
tcf(c_115953,plain,
~ r2_hidden(iPr_def_19,sK16(iPr_def_18)),
inference(superposition,[status(thm)],[c_114866,c_61]) ).
tcf(c_115956,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114866,c_8259]) ).
tcf(c_115957,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114866,c_8246]) ).
tcf(c_115978,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6755,c_8224,c_8225]) ).
tcf(c_115985,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_19)
| r2_hidden(k4_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115978,c_299]) ).
tcf(c_115986,plain,
! [X0: $i] :
( r2_hidden(k4_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115985,c_14510]) ).
tcf(c_115989,plain,
! [X0: $i] :
( m1_subset_1(k1_struct_0(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6759,c_8224,c_8225]) ).
tcf(c_115996,plain,
( m1_subset_1(iPr_def_31,iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8237,c_115989]) ).
tcf(c_115997,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_19)
| r2_hidden(k1_struct_0(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115989,c_299]) ).
tcf(c_115998,plain,
m1_subset_1(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_115996,c_114708]) ).
tcf(c_115999,plain,
! [X0: $i] :
( r2_hidden(k1_struct_0(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115997,c_14510]) ).
tcf(c_116002,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6671,c_8226]) ).
tcf(c_116009,plain,
k4_tex_4(sK2,sK12(iPr_def_20)) = k2_tex_4(sK2,sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_173,c_116002]) ).
tcf(c_116010,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k4_tex_4(sK2,sK5(sK2,X0)) = k2_tex_4(sK2,sK5(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_116002]) ).
tcf(c_116011,plain,
k4_tex_4(sK2,iPr_def_27) = k2_tex_4(sK2,iPr_def_27),
inference(superposition,[status(thm)],[c_8266,c_116002]) ).
tcf(c_116012,plain,
( v1_tsp_1(iPr_def_20,sK3)
| ( k4_tex_4(sK2,sK5(sK3,iPr_def_20)) = k2_tex_4(sK2,sK5(sK3,iPr_def_20)) )
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_116002]) ).
tcf(c_116014,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115531,c_116002]) ).
tcf(c_116015,plain,
k2_tex_4(sK2,iPr_def_27) = iPr_def_32,
inference(light_normalisation,[status(thm)],[c_116011,c_8238]) ).
tcf(c_116034,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6751,c_8224]) ).
tcf(c_116041,plain,
k4_tex_4(sK3,sK12(iPr_def_18)) = k2_tex_4(sK3,sK12(iPr_def_18)),
inference(superposition,[status(thm)],[c_173,c_116034]) ).
tcf(c_116042,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k4_tex_4(sK3,sK5(sK3,X0)) = k2_tex_4(sK3,sK5(sK3,X0)) )
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8257,c_116034]) ).
tcf(c_116044,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ( k4_tex_4(sK3,sK5(sK2,iPr_def_18)) = k2_tex_4(sK3,sK5(sK2,iPr_def_18)) )
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_116034]) ).
tcf(c_116045,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114292,c_116034]) ).
tcf(c_116046,plain,
k4_tex_4(sK3,iPr_def_30) = k2_tex_4(sK3,iPr_def_30),
inference(superposition,[status(thm)],[c_114708,c_116034]) ).
tcf(c_116048,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ( k4_tex_4(sK3,sK5(sK2,iPr_def_18)) = k2_tex_4(sK3,sK5(sK2,iPr_def_18)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116044,c_8268]) ).
tcf(c_116059,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_32,k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(demodulation,[status(thm)],[c_114206,c_116046]) ).
tcf(c_116063,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_31,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115998,c_299]) ).
tcf(c_116064,plain,
r2_hidden(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_116063,c_14510]) ).
tcf(c_116071,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_116064,c_152]) ).
tcf(c_116072,plain,
~ r2_hidden(iPr_def_19,iPr_def_31),
inference(superposition,[status(thm)],[c_116064,c_61]) ).
tcf(c_116075,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,iPr_def_31)) = k1_struct_0(sK3,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116064,c_8259]) ).
tcf(c_116076,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,iPr_def_31)) = k1_struct_0(sK2,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116064,c_8246]) ).
tcf(c_116108,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114871,c_152]) ).
tcf(c_116109,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_xboole_0),
inference(superposition,[status(thm)],[c_114871,c_61]) ).
tcf(c_116112,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(X0),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114871,c_8259]) ).
tcf(c_116113,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(X0),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114871,c_8246]) ).
tcf(c_116128,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115506,c_114501]) ).
tcf(c_116129,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115506,c_113891]) ).
tcf(c_116130,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116128,c_115387]) ).
tcf(c_116135,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116129,c_115387]) ).
tcf(c_116147,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115516,c_114501]) ).
tcf(c_116148,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115516,c_113891]) ).
tcf(c_116149,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116147,c_115432]) ).
tcf(c_116154,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116148,c_115432]) ).
tcf(c_116220,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114872,c_152]) ).
tcf(c_116221,plain,
~ r2_hidden(iPr_def_29,sK13(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_114872,c_61]) ).
tcf(c_116224,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,sK13(iPr_def_20,iPr_def_18))) = k1_struct_0(sK3,sK13(iPr_def_20,iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114872,c_8259]) ).
tcf(c_116225,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,sK13(iPr_def_20,iPr_def_18))) = k1_struct_0(sK2,sK13(iPr_def_20,iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114872,c_8246]) ).
tcf(c_116240,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_160]) ).
tcf(c_116241,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_160]) ).
tcf(c_116242,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(k2_tex_4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_160,c_299]) ).
tcf(c_116243,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(X1,X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_160,c_301]) ).
tcf(c_116247,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_116241,c_8224,c_8225]) ).
tcf(c_116248,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116247,c_8269]) ).
tcf(c_116251,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_116240,c_8226,c_8227]) ).
tcf(c_116252,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116251,c_8273]) ).
tcf(c_116255,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116242,c_186]) ).
tcf(c_116271,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_300,c_157]) ).
tcf(c_116272,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(k2_tex_4(X0,X1),X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_tsp_2(k2_tex_4(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_160,c_157]) ).
tcf(c_116273,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_173,c_157]) ).
tcf(c_116274,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_tsp_1(sK16(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK16(u1_struct_0(X0)),X0) ),
inference(superposition,[status(thm)],[c_239,c_157]) ).
tcf(c_116275,plain,
! [X0: $i] :
( v1_tsp_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK17(X0),X0) ),
inference(superposition,[status(thm)],[c_241,c_157]) ).
tcf(c_116276,plain,
! [X0: $i] :
( v1_tsp_1(sK19(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK19(X0),X0) ),
inference(superposition,[status(thm)],[c_245,c_157]) ).
tcf(c_116277,plain,
! [X0: $i] :
( v1_tsp_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_254,c_157]) ).
tcf(c_116279,plain,
! [X0: $i] :
( v1_tsp_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK25(X0),X0) ),
inference(superposition,[status(thm)],[c_276,c_157]) ).
tcf(c_116280,plain,
! [X0: $i] :
( v1_tsp_1(u1_struct_0(sK10(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(u1_struct_0(sK10(X0)),X0) ),
inference(superposition,[status(thm)],[c_6697,c_157]) ).
tcf(c_116281,plain,
! [X0: $i] :
( v1_tsp_1(u1_struct_0(sK14(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(u1_struct_0(sK14(X0)),X0) ),
inference(superposition,[status(thm)],[c_6701,c_157]) ).
tcf(c_116282,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK20,X0),sK20)
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_2(k1_struct_0(sK20,X0),sK20) ),
inference(superposition,[status(thm)],[c_6745,c_157]) ).
tcf(c_116283,plain,
( v1_tsp_1(sK23(sK20),sK20)
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_2(sK23(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6265,c_157]) ).
tcf(c_116284,plain,
( v1_tsp_1(sK26(sK20),sK20)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(sK26(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6246,c_157]) ).
tcf(c_116285,plain,
( v1_tsp_1(sK21(sK20),sK20)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(sK21(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6282,c_157]) ).
tcf(c_116286,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| v1_tsp_1(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19)
| ~ v1_tsp_2(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114314,c_157]) ).
tcf(c_116287,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| v1_tsp_1(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21)
| ~ v1_tsp_2(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114315,c_157]) ).
tcf(c_116288,plain,
! [X0: $i] :
( v1_tsp_1(k1_xboole_0,X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_114341,c_157]) ).
tcf(c_116289,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_115531,c_157]) ).
tcf(c_116290,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8226,c_157]) ).
tcf(c_116291,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_8224,c_157]) ).
tcf(c_116307,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_116291,c_8225]) ).
tcf(c_116308,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_tsp_2(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116307,c_8269]) ).
tcf(c_116312,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_116290,c_8227]) ).
tcf(c_116313,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116312,c_8273]) ).
tcf(c_116408,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = k1_funct_1(sK4,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6669,c_8224,c_8226]) ).
tcf(c_116415,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)) = k1_funct_1(sK4,sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_173,c_116408]) ).
tcf(c_116416,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,X0)) = k1_funct_1(sK4,sK5(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8244,c_116408]) ).
tcf(c_116417,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27) = k1_funct_1(sK4,iPr_def_27),
inference(superposition,[status(thm)],[c_8266,c_116408]) ).
tcf(c_116418,plain,
( v1_tsp_1(iPr_def_20,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK3,iPr_def_20)) = k1_funct_1(sK4,sK5(sK3,iPr_def_20)) )
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_116408]) ).
tcf(c_116420,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k1_funct_1(sK4,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115531,c_116408]) ).
tcf(c_116421,plain,
k1_funct_1(sK4,iPr_def_27) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_116417,c_8236]) ).
tcf(c_116452,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| v1_tsp_1(sK7(X1,X0),X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_300,c_154]) ).
tcf(c_116453,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k2_tex_4(X0,X1),X0)
| v1_tsp_1(sK7(X0,k2_tex_4(X0,X1)),X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_tsp_1(k2_tex_4(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_160,c_154]) ).
tcf(c_116454,plain,
! [X0: $i] :
( v1_tsp_2(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_tsp_1(sK7(X0,sK12(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_173,c_154]) ).
tcf(c_116455,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_tsp_2(sK16(u1_struct_0(X0)),X0)
| v1_tsp_1(sK7(X0,sK16(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(u1_struct_0(X0)),X0) ),
inference(superposition,[status(thm)],[c_239,c_154]) ).
tcf(c_116456,plain,
! [X0: $i] :
( v1_tsp_2(sK17(X0),X0)
| v1_tsp_1(sK7(X0,sK17(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK17(X0),X0) ),
inference(superposition,[status(thm)],[c_241,c_154]) ).
tcf(c_116457,plain,
! [X0: $i] :
( v1_tsp_2(sK19(X0),X0)
| v1_tsp_1(sK7(X0,sK19(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK19(X0),X0) ),
inference(superposition,[status(thm)],[c_245,c_154]) ).
tcf(c_116458,plain,
! [X0: $i] :
( v1_tsp_2(sK22(X0),X0)
| v1_tsp_1(sK7(X0,sK22(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_254,c_154]) ).
tcf(c_116460,plain,
! [X0: $i] :
( v1_tsp_2(sK25(X0),X0)
| v1_tsp_1(sK7(X0,sK25(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK25(X0),X0) ),
inference(superposition,[status(thm)],[c_276,c_154]) ).
tcf(c_116461,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK10(X0)),X0)
| v1_tsp_1(sK7(X0,u1_struct_0(sK10(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(sK10(X0)),X0) ),
inference(superposition,[status(thm)],[c_6697,c_154]) ).
tcf(c_116462,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK14(X0)),X0)
| v1_tsp_1(sK7(X0,u1_struct_0(sK14(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(sK14(X0)),X0) ),
inference(superposition,[status(thm)],[c_6701,c_154]) ).
tcf(c_116463,plain,
! [X0: $i] :
( v1_tsp_2(k1_struct_0(sK20,X0),sK20)
| v1_tsp_1(sK7(sK20,k1_struct_0(sK20,X0)),sK20)
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_1(k1_struct_0(sK20,X0),sK20) ),
inference(superposition,[status(thm)],[c_6745,c_154]) ).
tcf(c_116464,plain,
( v1_tsp_2(sK23(sK20),sK20)
| v1_tsp_1(sK7(sK20,sK23(sK20)),sK20)
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_1(sK23(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6265,c_154]) ).
tcf(c_116465,plain,
( v1_tsp_2(sK26(sK20),sK20)
| v1_tsp_1(sK7(sK20,sK26(sK20)),sK20)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(sK26(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6246,c_154]) ).
tcf(c_116466,plain,
( v1_tsp_2(sK21(sK20),sK20)
| v1_tsp_1(sK7(sK20,sK21(sK20)),sK20)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(sK21(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6282,c_154]) ).
tcf(c_116467,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| v1_tsp_2(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_tsp_1(sK7(X0,sK5(sK3,k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19)
| ~ v1_tsp_1(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114314,c_154]) ).
tcf(c_116468,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| v1_tsp_2(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_tsp_1(sK7(X0,sK5(sK2,k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21)
| ~ v1_tsp_1(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114315,c_154]) ).
tcf(c_116469,plain,
! [X0: $i] :
( v1_tsp_2(k1_xboole_0,X0)
| v1_tsp_1(sK7(X0,k1_xboole_0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_114341,c_154]) ).
tcf(c_116470,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| v1_tsp_1(sK7(X1,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_115531,c_154]) ).
tcf(c_116471,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8226,c_154]) ).
tcf(c_116472,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_tsp_1(sK7(sK3,X0),sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_8224,c_154]) ).
tcf(c_116485,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_tsp_1(sK7(sK3,X0),sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_116472,c_8225]) ).
tcf(c_116486,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_tsp_1(sK7(sK3,X0),sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116485,c_8269]) ).
tcf(c_116491,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_116471,c_8227]) ).
tcf(c_116492,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116491,c_8273]) ).
tcf(c_116623,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116252,c_299]) ).
tcf(c_116624,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116252,c_114117]) ).
tcf(c_116625,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116623,c_14791]) ).
tcf(c_116638,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(superposition,[status(thm)],[c_173,c_116313]) ).
tcf(c_116639,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ~ v1_tsp_2(iPr_def_22,sK2) ),
inference(superposition,[status(thm)],[c_8249,c_116313]) ).
tcf(c_116640,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ~ v1_tsp_2(iPr_def_23,sK2) ),
inference(superposition,[status(thm)],[c_8251,c_116313]) ).
tcf(c_116641,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ~ v1_tsp_2(iPr_def_24,sK2) ),
inference(superposition,[status(thm)],[c_8253,c_116313]) ).
tcf(c_116642,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ~ v1_tsp_2(iPr_def_18,sK2) ),
inference(superposition,[status(thm)],[c_8268,c_116313]) ).
tcf(c_116643,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_116252,c_116313]) ).
tcf(c_116645,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k4_tex_4(sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_114453,c_116313]) ).
tcf(c_116646,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_2(iPr_def_32,sK2) ),
inference(superposition,[status(thm)],[c_114462,c_116313]) ).
tcf(c_116647,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(superposition,[status(thm)],[c_114308,c_116313]) ).
tcf(c_116648,plain,
( v1_tsp_1(iPr_def_21,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_21),sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK5(sK3,iPr_def_21),sK2) ),
inference(superposition,[status(thm)],[c_114314,c_116313]) ).
tcf(c_116649,plain,
( v1_tsp_1(iPr_def_21,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK5(sK2,iPr_def_21),sK2) ),
inference(superposition,[status(thm)],[c_114315,c_116313]) ).
tcf(c_116650,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(superposition,[status(thm)],[c_114344,c_116313]) ).
tcf(c_116651,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k1_struct_0(sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_114637,c_116313]) ).
tcf(c_116653,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(superposition,[status(thm)],[c_114775,c_116313]) ).
tcf(c_116654,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(superposition,[status(thm)],[c_115077,c_116313]) ).
tcf(c_116655,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2) ),
inference(superposition,[status(thm)],[c_115531,c_116313]) ).
tcf(c_116656,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(superposition,[status(thm)],[c_115361,c_116313]) ).
tcf(c_116657,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(superposition,[status(thm)],[c_115387,c_116313]) ).
tcf(c_116658,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(superposition,[status(thm)],[c_115432,c_116313]) ).
tcf(c_116663,plain,
v1_tsp_1(iPr_def_18,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_116642,c_8270]) ).
tcf(c_116751,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116492,c_114501]) ).
tcf(c_116752,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK5(sK3,sK7(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116492,c_113891]) ).
tcf(c_116782,plain,
v1_tsp_1(k1_xboole_0,sK2),
inference(global_subsumption_just,[status(thm)],[c_116650,c_11260]) ).
tcf(c_116785,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ( k5_subset_1(iPr_def_20,k1_xboole_0,k4_tex_4(sK2,sK5(sK3,k1_xboole_0))) = k1_struct_0(sK2,sK5(sK3,k1_xboole_0)) )
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ m1_subset_1(k1_xboole_0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116782,c_113891]) ).
tcf(c_116786,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ( k5_subset_1(iPr_def_20,k1_xboole_0,k4_tex_4(sK2,sK5(sK3,k1_xboole_0))) = k1_struct_0(sK2,sK5(sK3,k1_xboole_0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116785,c_114344,c_114343]) ).
tcf(c_116789,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114873,c_152]) ).
tcf(c_116790,plain,
~ r2_hidden(iPr_def_29,sK11(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_114873,c_61]) ).
tcf(c_116793,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,sK11(iPr_def_20,iPr_def_18))) = k1_struct_0(sK3,sK11(iPr_def_20,iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114873,c_8259]) ).
tcf(c_116794,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,sK11(iPr_def_20,iPr_def_18))) = k1_struct_0(sK2,sK11(iPr_def_20,iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114873,c_8246]) ).
tcf(c_116813,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| r1_tarski(X0,sK7(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_300,c_155]) ).
tcf(c_116814,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k2_tex_4(X0,X1),X0)
| r1_tarski(k2_tex_4(X0,X1),sK7(X0,k2_tex_4(X0,X1)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_tsp_1(k2_tex_4(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_160,c_155]) ).
tcf(c_116815,plain,
! [X0: $i] :
( v1_tsp_2(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0)
| r1_tarski(sK12(k1_zfmisc_1(u1_struct_0(X0))),sK7(X0,sK12(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_173,c_155]) ).
tcf(c_116816,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_tsp_2(sK16(u1_struct_0(X0)),X0)
| r1_tarski(sK16(u1_struct_0(X0)),sK7(X0,sK16(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(u1_struct_0(X0)),X0) ),
inference(superposition,[status(thm)],[c_239,c_155]) ).
tcf(c_116817,plain,
! [X0: $i] :
( v1_tsp_2(sK17(X0),X0)
| r1_tarski(sK17(X0),sK7(X0,sK17(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK17(X0),X0) ),
inference(superposition,[status(thm)],[c_241,c_155]) ).
tcf(c_116818,plain,
! [X0: $i] :
( v1_tsp_2(sK19(X0),X0)
| r1_tarski(sK19(X0),sK7(X0,sK19(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK19(X0),X0) ),
inference(superposition,[status(thm)],[c_245,c_155]) ).
tcf(c_116819,plain,
! [X0: $i] :
( v1_tsp_2(sK22(X0),X0)
| r1_tarski(sK22(X0),sK7(X0,sK22(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_254,c_155]) ).
tcf(c_116821,plain,
! [X0: $i] :
( v1_tsp_2(sK25(X0),X0)
| r1_tarski(sK25(X0),sK7(X0,sK25(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK25(X0),X0) ),
inference(superposition,[status(thm)],[c_276,c_155]) ).
tcf(c_116822,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK10(X0)),X0)
| r1_tarski(u1_struct_0(sK10(X0)),sK7(X0,u1_struct_0(sK10(X0))))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(sK10(X0)),X0) ),
inference(superposition,[status(thm)],[c_6697,c_155]) ).
tcf(c_116823,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK14(X0)),X0)
| r1_tarski(u1_struct_0(sK14(X0)),sK7(X0,u1_struct_0(sK14(X0))))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(sK14(X0)),X0) ),
inference(superposition,[status(thm)],[c_6701,c_155]) ).
tcf(c_116824,plain,
! [X0: $i] :
( v1_tsp_2(k1_struct_0(sK20,X0),sK20)
| r1_tarski(k1_struct_0(sK20,X0),sK7(sK20,k1_struct_0(sK20,X0)))
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_1(k1_struct_0(sK20,X0),sK20) ),
inference(superposition,[status(thm)],[c_6745,c_155]) ).
tcf(c_116825,plain,
( v1_tsp_2(sK23(sK20),sK20)
| r1_tarski(sK23(sK20),sK7(sK20,sK23(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_1(sK23(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6265,c_155]) ).
tcf(c_116826,plain,
( v1_tsp_2(sK26(sK20),sK20)
| r1_tarski(sK26(sK20),sK7(sK20,sK26(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(sK26(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6246,c_155]) ).
tcf(c_116827,plain,
( v1_tsp_2(sK21(sK20),sK20)
| r1_tarski(sK21(sK20),sK7(sK20,sK21(sK20)))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(sK21(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6282,c_155]) ).
tcf(c_116828,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| v1_tsp_2(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0)
| r1_tarski(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),sK7(X0,sK5(sK3,k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19)
| ~ v1_tsp_1(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114314,c_155]) ).
tcf(c_116829,plain,
! [X0: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| v1_tsp_2(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0)
| r1_tarski(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),sK7(X0,sK5(sK2,k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21)
| ~ v1_tsp_1(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114315,c_155]) ).
tcf(c_116830,plain,
! [X0: $i] :
( v1_tsp_2(k1_xboole_0,X0)
| r1_tarski(k1_xboole_0,sK7(X0,k1_xboole_0))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_114341,c_155]) ).
tcf(c_116831,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(X1,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_115531,c_155]) ).
tcf(c_116832,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,sK7(sK2,X0))
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8226,c_155]) ).
tcf(c_116833,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r1_tarski(X0,sK7(sK3,X0))
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_8224,c_155]) ).
tcf(c_116842,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r1_tarski(X0,sK7(sK3,X0))
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_116833,c_8225]) ).
tcf(c_116843,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r1_tarski(X0,sK7(sK3,X0))
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116842,c_8269]) ).
tcf(c_116848,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,sK7(sK2,X0))
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_116832,c_8227]) ).
tcf(c_116849,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,sK7(sK2,X0))
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116848,c_8273]) ).
tcf(c_116972,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_156]) ).
tcf(c_116973,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| m1_subset_1(sK7(sK3,X0),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(superposition,[status(thm)],[c_8224,c_156]) ).
tcf(c_116974,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(sK7(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_156,c_299]) ).
tcf(c_116975,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| r1_tarski(sK7(X1,X0),u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_156,c_301]) ).
tcf(c_116976,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X1,X0)
| v1_tsp_2(sK7(X0,X1),X0)
| r1_tarski(sK7(X0,X1),sK7(X0,sK7(X0,X1)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(sK7(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_156,c_155]) ).
tcf(c_116977,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X1,X0)
| v1_tsp_2(sK7(X0,X1),X0)
| v1_tsp_1(sK7(X0,sK7(X0,X1)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(sK7(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_156,c_154]) ).
tcf(c_116978,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X1,X0)
| v1_tsp_1(sK7(X0,X1),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(sK7(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_156,c_157]) ).
tcf(c_116984,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| m1_subset_1(sK7(sK3,X0),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_116973,c_8224,c_8225]) ).
tcf(c_116985,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| m1_subset_1(sK7(sK3,X0),iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116984,c_8269]) ).
tcf(c_116990,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_116972,c_8226,c_8227]) ).
tcf(c_116991,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116990,c_8273]) ).
tcf(c_117002,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| r2_hidden(sK7(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116974,c_186]) ).
tcf(c_117042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,X2)
| ~ v1_tsp_1(X2,X1)
| ~ r1_tarski(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_300,c_158]) ).
tcf(c_117043,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(X1,X0)
| ( sK7(X0,X1) = X2 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X2,X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,sK7(X0,X1))
| ~ v1_tsp_1(sK7(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_156,c_158]) ).
tcf(c_117044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k2_tex_4(X0,X1) = X2 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,k2_tex_4(X0,X1))
| ~ v1_tsp_1(k2_tex_4(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_160,c_158]) ).
tcf(c_117045,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(X0))) = X1 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,sK12(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_tsp_1(sK12(k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_173,c_158]) ).
tcf(c_117046,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X1))
| ( sK16(u1_struct_0(X1)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(u1_struct_0(X1)))
| ~ v1_tsp_1(sK16(u1_struct_0(X1)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_239,c_158]) ).
tcf(c_117047,plain,
! [X0: $i,X1: $i] :
( ( sK17(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK17(X1))
| ~ v1_tsp_1(sK17(X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_241,c_158]) ).
tcf(c_117048,plain,
! [X0: $i,X1: $i] :
( ( sK19(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK19(X1))
| ~ v1_tsp_1(sK19(X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_245,c_158]) ).
tcf(c_117049,plain,
! [X0: $i,X1: $i] :
( ( sK22(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK22(X1))
| ~ v1_tsp_1(sK22(X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_254,c_158]) ).
tcf(c_117051,plain,
! [X0: $i,X1: $i] :
( ( sK25(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK25(X1))
| ~ v1_tsp_1(sK25(X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_276,c_158]) ).
tcf(c_117052,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(sK10(X1)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(sK10(X1)))
| ~ v1_tsp_1(u1_struct_0(sK10(X1)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_6697,c_158]) ).
tcf(c_117053,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(sK14(X1)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(sK14(X1)))
| ~ v1_tsp_1(u1_struct_0(sK14(X1)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_6701,c_158]) ).
tcf(c_117054,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(sK20,X1) = X0 )
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_2(X0,sK20)
| ~ m1_subset_1(X1,u1_struct_0(sK20))
| ~ v1_tsp_1(k1_struct_0(sK20,X1),sK20)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ r1_tarski(X0,k1_struct_0(sK20,X1)) ),
inference(superposition,[status(thm)],[c_6745,c_158]) ).
tcf(c_117055,plain,
! [X0: $i] :
( ( sK23(sK20) = X0 )
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_2(X0,sK20)
| ~ v1_tsp_1(sK23(sK20),sK20)
| ~ r1_tarski(X0,sK23(sK20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_6265,c_158]) ).
tcf(c_117056,plain,
! [X0: $i] :
( ( sK26(sK20) = X0 )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(X0,sK20)
| ~ v1_tsp_1(sK26(sK20),sK20)
| ~ r1_tarski(X0,sK26(sK20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_6246,c_158]) ).
tcf(c_117057,plain,
! [X0: $i] :
( ( sK21(sK20) = X0 )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(X0,sK20)
| ~ v1_tsp_1(sK21(sK20),sK20)
| ~ r1_tarski(X0,sK21(sK20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_6282,c_158]) ).
tcf(c_117058,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ( sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))) = X1 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_tsp_1(sK5(sK3,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114314,c_158]) ).
tcf(c_117059,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ( sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))) = X1 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_tsp_1(sK5(sK2,k1_zfmisc_1(u1_struct_0(X0))),X0) ),
inference(superposition,[status(thm)],[c_114315,c_158]) ).
tcf(c_117060,plain,
! [X0: $i,X1: $i] :
( ( X0 = k1_xboole_0 )
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,k1_xboole_0)
| ~ v1_tsp_1(k1_xboole_0,X1)
| ~ v1_tsp_2(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_114341,c_158]) ).
tcf(c_117061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = X2 )
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_115531,c_158]) ).
tcf(c_117062,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(iPr_def_20))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_158]) ).
tcf(c_117063,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X1,sK3)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(iPr_def_18))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(superposition,[status(thm)],[c_8224,c_158]) ).
tcf(c_117082,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_117063,c_8224,c_8225]) ).
tcf(c_117083,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117082,c_8269]) ).
tcf(c_117090,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_117062,c_8226,c_8227]) ).
tcf(c_117091,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117090,c_8273]) ).
tcf(c_117275,plain,
! [X0: $i] :
( r1_tarski(iPr_def_18,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK6(iPr_def_18,X0))) = k1_struct_0(sK2,sK6(iPr_def_18,X0)) )
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116663,c_114501]) ).
tcf(c_117276,plain,
( v1_tsp_1(iPr_def_18,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK5(sK3,iPr_def_18))) = k1_struct_0(sK2,sK5(sK3,iPr_def_18)) )
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116663,c_113891]) ).
tcf(c_117277,plain,
! [X0: $i] :
( r1_tarski(iPr_def_18,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK6(iPr_def_18,X0))) = k1_struct_0(sK2,sK6(iPr_def_18,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117275,c_8268]) ).
tcf(c_117280,plain,
( v1_tsp_1(iPr_def_18,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK5(sK3,iPr_def_18))) = k1_struct_0(sK2,sK5(sK3,iPr_def_18)) )
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117276,c_8268]) ).
tcf(c_117292,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115533]) ).
tcf(c_117293,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116849,c_115532]) ).
tcf(c_117294,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_116849,c_115528]) ).
tcf(c_117295,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116849,c_115530]) ).
tcf(c_117329,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116991,c_299]) ).
tcf(c_117331,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK7(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,sK7(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK7(sK2,X0))),k4_tex_4(sK2,sK5(sK2,sK7(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116991,c_114117]) ).
tcf(c_117332,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117329,c_14791]) ).
tcf(c_117356,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,X0) = X1 )
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114621,c_117091]) ).
tcf(c_117357,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114629,c_117091]) ).
tcf(c_117358,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114667,c_117091]) ).
tcf(c_117359,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114677,c_117091]) ).
tcf(c_117361,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK6(sK22(sK2),X0))) = k1_struct_0(sK2,sK6(sK22(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK22(sK2),sK2)
| ~ m1_subset_1(sK22(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114973,c_117091]) ).
tcf(c_117362,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115010,c_117091]) ).
tcf(c_117363,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115177,c_117091]) ).
tcf(c_117364,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115941,c_117091]) ).
tcf(c_117365,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116130,c_117091]) ).
tcf(c_117366,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116149,c_117091]) ).
tcf(c_117368,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(iPr_def_22,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114612,c_117091]) ).
tcf(c_117369,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(iPr_def_23,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114607,c_117091]) ).
tcf(c_117370,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(iPr_def_24,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114602,c_117091]) ).
tcf(c_117371,plain,
( ( sK12(iPr_def_19) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114712,c_117091]) ).
tcf(c_117372,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114713,c_117091]) ).
tcf(c_117373,plain,
( ( sK12(iPr_def_29) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114714,c_117091]) ).
tcf(c_117374,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117359,c_114344]) ).
tcf(c_117384,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117372,c_173]) ).
tcf(c_117389,plain,
( ( sK12(iPr_def_19) = iPr_def_18 )
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117371,c_116663,c_8268]) ).
tcf(c_117398,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK22(sK2),k4_tex_4(sK2,sK6(sK22(sK2),X0))) = k1_struct_0(sK2,sK6(sK22(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK22(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117361,c_114801]) ).
tcf(c_117424,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(iPr_def_24,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117370,c_8253]) ).
tcf(c_117432,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(iPr_def_23,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117369,c_8251]) ).
tcf(c_117440,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(iPr_def_22,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117368,c_8249]) ).
tcf(c_117448,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117366,c_115432]) ).
tcf(c_117456,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117365,c_115387]) ).
tcf(c_117464,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117364,c_115361]) ).
tcf(c_117472,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117363,c_115077]) ).
tcf(c_117480,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117362,c_114775]) ).
tcf(c_117529,plain,
! [X0: $i] :
( r2_hidden(sK23(sK20),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_114874,c_152]) ).
tcf(c_117530,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),sK23(sK20)),
inference(superposition,[status(thm)],[c_114874,c_61]) ).
tcf(c_117531,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20))),
inference(superposition,[status(thm)],[c_114874,c_305]) ).
tcf(c_117533,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK3,sK23(sK20))) = k1_struct_0(sK3,sK23(sK20)) )
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114874,c_8259]) ).
tcf(c_117534,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK2,sK23(sK20))) = k1_struct_0(sK2,sK23(sK20)) )
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114874,c_8246]) ).
tcf(c_117591,plain,
! [X0: $i] :
( r2_hidden(sK22(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115208,c_152]) ).
tcf(c_117592,plain,
~ r2_hidden(iPr_def_19,sK22(sK3)),
inference(superposition,[status(thm)],[c_115208,c_61]) ).
tcf(c_117595,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK22(sK3))) = k1_struct_0(sK3,sK22(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115208,c_8259]) ).
tcf(c_117596,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK22(sK3))) = k1_struct_0(sK2,sK22(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115208,c_8246]) ).
tcf(c_117620,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115359,c_299]) ).
tcf(c_117621,plain,
r2_hidden(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_117620,c_14510]) ).
tcf(c_117642,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115385,c_299]) ).
tcf(c_117643,plain,
r2_hidden(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_117642,c_14510]) ).
tcf(c_117648,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115430,c_299]) ).
tcf(c_117649,plain,
r2_hidden(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_117648,c_14510]) ).
tcf(c_117670,plain,
( v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_116645]) ).
tcf(c_117671,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_117670,c_8238]) ).
tcf(c_117705,plain,
r2_hidden(sK13(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8234,c_114890]) ).
tcf(c_117706,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK13(X0,X1),X2)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_114890,c_152]) ).
tcf(c_117707,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK13(X0,X1)),
inference(superposition,[status(thm)],[c_114890,c_61]) ).
tcf(c_117708,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_114890,c_305]) ).
tcf(c_117710,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_tex_4(sK3,sK13(X0,X1))) = k1_struct_0(sK3,sK13(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114890,c_8259]) ).
tcf(c_117711,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_tex_4(sK2,sK13(X0,X1))) = k1_struct_0(sK2,sK13(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114890,c_8246]) ).
tcf(c_117727,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115500,c_152]) ).
tcf(c_117728,plain,
~ r2_hidden(iPr_def_21,sK17(sK2)),
inference(superposition,[status(thm)],[c_115500,c_61]) ).
tcf(c_117731,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115500,c_8259]) ).
tcf(c_117732,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115500,c_8246]) ).
tcf(c_117747,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115507,c_152]) ).
tcf(c_117748,plain,
~ r2_hidden(iPr_def_21,sK19(sK2)),
inference(superposition,[status(thm)],[c_115507,c_61]) ).
tcf(c_117751,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115507,c_8259]) ).
tcf(c_117752,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115507,c_8246]) ).
tcf(c_117775,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115517,c_152]) ).
tcf(c_117776,plain,
~ r2_hidden(iPr_def_21,sK25(sK2)),
inference(superposition,[status(thm)],[c_115517,c_61]) ).
tcf(c_117779,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115517,c_8259]) ).
tcf(c_117780,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115517,c_8246]) ).
tcf(c_117792,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_117621,c_152]) ).
tcf(c_117793,plain,
~ r2_hidden(iPr_def_19,sK17(sK3)),
inference(superposition,[status(thm)],[c_117621,c_61]) ).
tcf(c_117796,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117621,c_8259]) ).
tcf(c_117797,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117621,c_8246]) ).
tcf(c_117814,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),sK2)
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_116655]) ).
tcf(c_117815,plain,
( v1_tsp_1(iPr_def_30,sK2)
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ r1_tarski(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_117814,c_8236,c_8238]) ).
tcf(c_117816,plain,
( v1_tsp_1(iPr_def_30,sK2)
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ r1_tarski(iPr_def_32,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117815,c_8266]) ).
tcf(c_117861,plain,
( ( sK12(k1_zfmisc_1(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(k1_zfmisc_1(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_117358]) ).
tcf(c_117862,plain,
( ( sK12(k1_zfmisc_1(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2)
| ~ m1_subset_1(sK12(k1_zfmisc_1(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_117358]) ).
tcf(c_117863,plain,
( ( sK12(k1_zfmisc_1(iPr_def_28)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(k1_zfmisc_1(iPr_def_28)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_117358]) ).
tcf(c_117874,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117295,c_114453]) ).
tcf(c_117887,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_xboole_0(sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2) ),
inference(superposition,[status(thm)],[c_8238,c_117874]) ).
tcf(c_117888,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_xboole_0(sK7(sK2,iPr_def_32)) ),
inference(light_normalisation,[status(thm)],[c_117887,c_8238]) ).
tcf(c_117889,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_xboole_0(sK7(sK2,iPr_def_32)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117888,c_8266]) ).
tcf(c_117899,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117294,c_114453]) ).
tcf(c_117915,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(sK2,k4_tex_4(sK2,X0)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_289,c_117899]) ).
tcf(c_117916,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_117899]) ).
tcf(c_117917,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_8238,c_117899]) ).
tcf(c_117922,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_30,X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(light_normalisation,[status(thm)],[c_117917,c_8236,c_8238]) ).
tcf(c_117923,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_30,X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117922,c_8266]) ).
tcf(c_117998,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_117357,c_85510]) ).
tcf(c_118012,plain,
r2_hidden(sK11(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8234,c_114891]) ).
tcf(c_118013,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK11(X0,X1),X2)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_114891,c_152]) ).
tcf(c_118014,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK11(X0,X1)),
inference(superposition,[status(thm)],[c_114891,c_61]) ).
tcf(c_118017,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_tex_4(sK3,sK11(X0,X1))) = k1_struct_0(sK3,sK11(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114891,c_8259]) ).
tcf(c_118018,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),k4_tex_4(sK2,sK11(X0,X1))) = k1_struct_0(sK2,sK11(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114891,c_8246]) ).
tcf(c_118028,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_117643,c_152]) ).
tcf(c_118029,plain,
~ r2_hidden(iPr_def_19,sK19(sK3)),
inference(superposition,[status(thm)],[c_117643,c_61]) ).
tcf(c_118032,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117643,c_8259]) ).
tcf(c_118033,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117643,c_8246]) ).
tcf(c_118042,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_117649,c_152]) ).
tcf(c_118043,plain,
~ r2_hidden(iPr_def_19,sK25(sK3)),
inference(superposition,[status(thm)],[c_117649,c_61]) ).
tcf(c_118046,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117649,c_8259]) ).
tcf(c_118047,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117649,c_8246]) ).
tcf(c_118064,plain,
( ( u1_struct_0(sK20) = sK23(sK20) )
| ~ v1_tsp_2(sK23(sK20),sK2)
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(sK23(sK20),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114672,c_117091]) ).
tcf(c_118070,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114963,c_152]) ).
tcf(c_118071,plain,
~ r2_hidden(iPr_def_21,u1_struct_0(sK10(sK2))),
inference(superposition,[status(thm)],[c_114963,c_61]) ).
tcf(c_118074,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,u1_struct_0(sK10(sK2)))) = k1_struct_0(sK3,u1_struct_0(sK10(sK2))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114963,c_8259]) ).
tcf(c_118075,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,u1_struct_0(sK10(sK2)))) = k1_struct_0(sK2,u1_struct_0(sK10(sK2))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114963,c_8246]) ).
tcf(c_118110,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115075,c_299]) ).
tcf(c_118111,plain,
r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_118110,c_14510]) ).
tcf(c_118120,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115163,c_152]) ).
tcf(c_118121,plain,
~ r2_hidden(iPr_def_21,u1_struct_0(sK14(sK2))),
inference(superposition,[status(thm)],[c_115163,c_61]) ).
tcf(c_118124,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,u1_struct_0(sK14(sK2)))) = k1_struct_0(sK3,u1_struct_0(sK14(sK2))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115163,c_8259]) ).
tcf(c_118125,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,u1_struct_0(sK14(sK2)))) = k1_struct_0(sK2,u1_struct_0(sK14(sK2))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115163,c_8246]) ).
tcf(c_118158,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_116751,c_15495]) ).
tcf(c_118170,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_117091]) ).
tcf(c_118171,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK2,sK6(sK7(sK2,k4_tex_4(sK2,X0)),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,k4_tex_4(sK2,X0)),X1)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_117899]) ).
tcf(c_118217,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK5(sK3,sK7(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(global_subsumption_just,[status(thm)],[c_116752,c_15551]) ).
tcf(c_118245,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),sK2)
| r2_hidden(iPr_def_30,sK7(sK2,sK7(sK2,k4_tex_4(sK2,iPr_def_27))))
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_117916]) ).
tcf(c_118246,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),sK7(sK2,sK7(sK2,iPr_def_32)))
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8238,c_117916]) ).
tcf(c_118247,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_117916,c_152]) ).
tcf(c_118248,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_117916,c_61]) ).
tcf(c_118249,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0)))) ),
inference(superposition,[status(thm)],[c_117916,c_305]) ).
tcf(c_118250,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_117916,c_292]) ).
tcf(c_118251,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_117916,c_8259]) ).
tcf(c_118252,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_117916,c_8246]) ).
tcf(c_118260,plain,
( v1_tsp_2(iPr_def_32,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_32),sK2)
| r2_hidden(iPr_def_30,sK7(sK2,sK7(sK2,iPr_def_32)))
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_118245,c_8238]) ).
tcf(c_118261,plain,
( v1_tsp_2(iPr_def_32,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_32),sK2)
| r2_hidden(iPr_def_30,sK7(sK2,sK7(sK2,iPr_def_32)))
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118260,c_8266]) ).
tcf(c_118332,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1))) = k1_struct_0(sK2,sK6(k2_tex_4(sK2,X0),X1)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116624,c_114501]) ).
tcf(c_118333,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116624,c_113891]) ).
tcf(c_118334,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116624,c_113997]) ).
tcf(c_118368,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_118170,c_15684]) ).
tcf(c_118401,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117292,c_114453,c_116492,c_116991]) ).
tcf(c_118415,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,iPr_def_27)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8238,c_118401]) ).
tcf(c_118416,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_32),k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_118415,c_8236,c_8238]) ).
tcf(c_118417,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_32),k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118416,c_8266]) ).
tcf(c_118438,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117293,c_114453]) ).
tcf(c_118457,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0)))
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_118438]) ).
tcf(c_118458,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,iPr_def_27)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK3)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,iPr_def_27)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8238,c_118438]) ).
tcf(c_118459,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_32),k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_118458,c_8236,c_8237,c_8238,c_116046]) ).
tcf(c_118460,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_32),k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118459,c_8266]) ).
tcf(c_118488,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115255,c_152]) ).
tcf(c_118489,plain,
~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK3))),
inference(superposition,[status(thm)],[c_115255,c_61]) ).
tcf(c_118492,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,u1_struct_0(sK10(sK3)))) = k1_struct_0(sK3,u1_struct_0(sK10(sK3))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115255,c_8259]) ).
tcf(c_118493,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,u1_struct_0(sK10(sK3)))) = k1_struct_0(sK2,u1_struct_0(sK10(sK3))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115255,c_8246]) ).
tcf(c_118504,plain,
~ v1_xboole_0(iPr_def_31),
inference(superposition,[status(thm)],[c_115775,c_191]) ).
tcf(c_118602,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_19)
| r2_hidden(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_116248,c_299]) ).
tcf(c_118603,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118602,c_14510]) ).
tcf(c_118610,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116625,c_152]) ).
tcf(c_118611,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116625,c_61]) ).
tcf(c_118614,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k2_tex_4(sK2,X0))) = k1_struct_0(sK3,k2_tex_4(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116625,c_8259]) ).
tcf(c_118615,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k2_tex_4(sK2,X0))) = k1_struct_0(sK2,k2_tex_4(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116625,c_8246]) ).
tcf(c_118635,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_118111,c_152]) ).
tcf(c_118636,plain,
~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK3))),
inference(superposition,[status(thm)],[c_118111,c_61]) ).
tcf(c_118639,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,u1_struct_0(sK14(sK3)))) = k1_struct_0(sK3,u1_struct_0(sK14(sK3))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118111,c_8259]) ).
tcf(c_118640,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,u1_struct_0(sK14(sK3)))) = k1_struct_0(sK2,u1_struct_0(sK14(sK3))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118111,c_8246]) ).
tcf(c_118668,plain,
m1_subset_1(sK16(iPr_def_28),iPr_def_29),
inference(global_subsumption_just,[status(thm)],[c_114305,c_11051,c_11543]) ).
tcf(c_118670,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_118668,c_299]) ).
tcf(c_118671,plain,
r2_hidden(sK16(iPr_def_28),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_118670,c_114042]) ).
tcf(c_118672,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_118671,c_152]) ).
tcf(c_118673,plain,
~ r2_hidden(iPr_def_29,sK16(iPr_def_28)),
inference(superposition,[status(thm)],[c_118671,c_61]) ).
tcf(c_118676,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118671,c_8259]) ).
tcf(c_118677,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118671,c_8246]) ).
tcf(c_118713,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(superposition,[status(thm)],[c_173,c_116308]) ).
tcf(c_118714,plain,
( v1_tsp_1(iPr_def_17,sK3)
| ~ v1_tsp_2(iPr_def_17,sK3) ),
inference(superposition,[status(thm)],[c_8241,c_116308]) ).
tcf(c_118715,plain,
( v1_tsp_1(iPr_def_25,sK3)
| ~ v1_tsp_2(iPr_def_25,sK3) ),
inference(superposition,[status(thm)],[c_8261,c_116308]) ).
tcf(c_118716,plain,
( v1_tsp_1(iPr_def_26,sK3)
| ~ v1_tsp_2(iPr_def_26,sK3) ),
inference(superposition,[status(thm)],[c_8263,c_116308]) ).
tcf(c_118717,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_116248,c_116308]) ).
tcf(c_118719,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(superposition,[status(thm)],[c_114309,c_116308]) ).
tcf(c_118720,plain,
( v1_tsp_1(iPr_def_19,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_19),sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK5(sK3,iPr_def_19),sK3) ),
inference(superposition,[status(thm)],[c_114314,c_116308]) ).
tcf(c_118721,plain,
( v1_tsp_1(iPr_def_19,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK5(sK2,iPr_def_19),sK3) ),
inference(superposition,[status(thm)],[c_114315,c_116308]) ).
tcf(c_118722,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ~ v1_tsp_2(k1_xboole_0,sK3) ),
inference(superposition,[status(thm)],[c_114343,c_116308]) ).
tcf(c_118723,plain,
( v1_tsp_1(sK22(sK3),sK3)
| ~ v1_tsp_2(sK22(sK3),sK3) ),
inference(superposition,[status(thm)],[c_114799,c_116308]) ).
tcf(c_118724,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3) ),
inference(superposition,[status(thm)],[c_114773,c_116308]) ).
tcf(c_118725,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3) ),
inference(superposition,[status(thm)],[c_115075,c_116308]) ).
tcf(c_118726,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_115531,c_116308]) ).
tcf(c_118727,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(superposition,[status(thm)],[c_115359,c_116308]) ).
tcf(c_118728,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(superposition,[status(thm)],[c_115385,c_116308]) ).
tcf(c_118729,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(superposition,[status(thm)],[c_115430,c_116308]) ).
tcf(c_118730,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k4_tex_4(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_115978,c_116308]) ).
tcf(c_118731,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK3,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k1_struct_0(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_115989,c_116308]) ).
tcf(c_118732,plain,
( v1_tsp_1(iPr_def_31,sK3)
| ~ v1_tsp_2(iPr_def_31,sK3) ),
inference(superposition,[status(thm)],[c_115998,c_116308]) ).
tcf(c_118846,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114899,c_152]) ).
tcf(c_118847,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114899,c_61]) ).
tcf(c_118850,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK5(sK2,X0))) = k1_struct_0(sK3,sK5(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114899,c_8259]) ).
tcf(c_118851,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK5(sK2,X0))) = k1_struct_0(sK2,sK5(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114899,c_8246]) ).
tcf(c_118919,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X2)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_152]) ).
tcf(c_118920,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,sK5(sK3,X1)) ),
inference(superposition,[status(thm)],[c_115274,c_61]) ).
tcf(c_118921,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_305]) ).
tcf(c_118922,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),X1)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_292]) ).
tcf(c_118923,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,sK5(sK3,X0))) = k1_struct_0(sK3,sK5(sK3,X0)) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_8259]) ).
tcf(c_118924,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_8246]) ).
tcf(c_118925,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| ( k2_tex_4(sK3,sK5(sK3,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK5(sK3,X0),iPr_def_18)
| ~ r1_tarski(X0,k2_tex_4(sK3,X1)) ),
inference(superposition,[status(thm)],[c_115274,c_8258]) ).
tcf(c_118926,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| ( k2_tex_4(sK2,sK5(sK3,X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK5(sK3,X0),iPr_def_20)
| ~ r1_tarski(X0,k2_tex_4(sK2,X1)) ),
inference(superposition,[status(thm)],[c_115274,c_8245]) ).
tcf(c_118927,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| v1_tsp_1(sK5(sK3,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK5(sK3,X0),iPr_def_19)
| ~ r1_tarski(X0,sK5(sK3,sK5(sK3,X0))) ),
inference(superposition,[status(thm)],[c_115274,c_114471]) ).
tcf(c_118928,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| v1_tsp_1(sK5(sK3,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK5(sK3,X0),iPr_def_21)
| ~ r1_tarski(X0,sK5(sK2,sK5(sK3,X0))) ),
inference(superposition,[status(thm)],[c_115274,c_114472]) ).
tcf(c_118929,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK5(sK3,X1)) ),
inference(superposition,[status(thm)],[c_115274,c_115529]) ).
tcf(c_119002,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X0,sK2)
| r2_hidden(sK5(sK2,X0),X2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_152]) ).
tcf(c_119003,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,sK5(sK2,X1)) ),
inference(superposition,[status(thm)],[c_115275,c_61]) ).
tcf(c_119004,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_305]) ).
tcf(c_119005,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),X1)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_292]) ).
tcf(c_119006,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,sK5(sK2,X0))) = k1_struct_0(sK3,sK5(sK2,X0)) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_8259]) ).
tcf(c_119007,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,sK5(sK2,X0))) = k1_struct_0(sK2,sK5(sK2,X0)) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_8246]) ).
tcf(c_119008,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ( k2_tex_4(sK3,sK5(sK2,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,X0),iPr_def_18)
| ~ r1_tarski(X0,k2_tex_4(sK3,X1)) ),
inference(superposition,[status(thm)],[c_115275,c_8258]) ).
tcf(c_119009,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ( k2_tex_4(sK2,sK5(sK2,X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,X0),iPr_def_20)
| ~ r1_tarski(X0,k2_tex_4(sK2,X1)) ),
inference(superposition,[status(thm)],[c_115275,c_8245]) ).
tcf(c_119010,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| v1_tsp_1(sK5(sK2,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,X0),iPr_def_19)
| ~ r1_tarski(X0,sK5(sK3,sK5(sK2,X0))) ),
inference(superposition,[status(thm)],[c_115275,c_114471]) ).
tcf(c_119011,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| v1_tsp_1(sK5(sK2,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,X0),iPr_def_21)
| ~ r1_tarski(X0,sK5(sK2,sK5(sK2,X0))) ),
inference(superposition,[status(thm)],[c_115275,c_114472]) ).
tcf(c_119012,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK5(sK2,X1)) ),
inference(superposition,[status(thm)],[c_115275,c_115529]) ).
tcf(c_119085,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK3)
| r1_tarski(sK7(sK3,X0),X1)
| ( k5_subset_1(iPr_def_18,sK7(sK3,X0),k4_tex_4(sK3,sK6(sK7(sK3,X0),X1))) = k1_struct_0(sK3,sK6(sK7(sK3,X0),X1)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK7(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116486,c_114500]) ).
tcf(c_119086,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_tsp_1(sK7(sK3,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK3,X0),k4_tex_4(sK3,sK5(sK2,sK7(sK3,X0)))) = k1_struct_0(sK3,sK5(sK2,sK7(sK3,X0))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK7(sK3,X0),iPr_def_21)
| ~ m1_subset_1(sK7(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116486,c_113926]) ).
tcf(c_119115,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114498,c_117091]) ).
tcf(c_119118,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_115528]) ).
tcf(c_119124,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k4_tex_4(sK2,X1))
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_114498,c_115645]) ).
tcf(c_119125,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(superposition,[status(thm)],[c_114498,c_117899]) ).
tcf(c_119157,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( sK16(X0) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK16(X0),sK2)
| ~ m1_subset_1(sK16(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114668,c_117091]) ).
tcf(c_119168,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_114809,c_152]) ).
tcf(c_119169,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(X0)) ),
inference(superposition,[status(thm)],[c_114809,c_61]) ).
tcf(c_119172,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(X0))) = k1_struct_0(sK3,sK12(X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114809,c_8259]) ).
tcf(c_119173,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(X0))) = k1_struct_0(sK2,sK12(X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114809,c_8246]) ).
tcf(c_119174,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,X0))
| ( k2_tex_4(sK3,sK12(k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(k2_tex_4(sK3,X0)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_114809,c_8258]) ).
tcf(c_119175,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k2_tex_4(sK2,sK12(k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(k2_tex_4(sK2,X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114809,c_8245]) ).
tcf(c_119176,plain,
! [X0: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) ),
inference(superposition,[status(thm)],[c_114809,c_115529]) ).
tcf(c_119226,plain,
( m1_subset_1(iPr_def_32,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_27,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_116015,c_160]) ).
tcf(c_119227,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,iPr_def_27) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_32) ),
inference(superposition,[status(thm)],[c_116015,c_115880]) ).
tcf(c_119228,plain,
! [X0: $i] :
( r2_hidden(iPr_def_27,k2_tex_4(sK2,X0))
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(superposition,[status(thm)],[c_116015,c_8255]) ).
tcf(c_119229,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,iPr_def_27) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(X0,iPr_def_32) ),
inference(superposition,[status(thm)],[c_116015,c_8245]) ).
tcf(c_119231,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_116624]) ).
tcf(c_119232,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,iPr_def_27) = X0 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_27),X0)) = k2_tex_4(sK2,iPr_def_27) )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116015,c_117998]) ).
tcf(c_119233,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_27),sK2)
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_116643]) ).
tcf(c_119236,plain,
( m1_subset_1(iPr_def_27,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_114317]) ).
tcf(c_119237,plain,
! [X0: $i] :
( r1_tarski(iPr_def_32,X0)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_27),X0)) = k2_tex_4(sK2,iPr_def_27) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_114629]) ).
tcf(c_119238,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) = k2_tex_4(sK2,iPr_def_27) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_114062]) ).
tcf(c_119239,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_27),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,iPr_def_27))) = k2_tex_4(sK2,iPr_def_27) )
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_114051]) ).
tcf(c_119240,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_27),k4_tex_4(sK2,iPr_def_27)) = k1_struct_0(sK2,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_113997]) ).
tcf(c_119241,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,iPr_def_27),k4_tex_4(sK3,iPr_def_27)) = k1_struct_0(sK3,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116015,c_113963]) ).
tcf(c_119242,plain,
( r2_hidden(iPr_def_27,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_113835]) ).
tcf(c_119243,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,iPr_def_27))
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(superposition,[status(thm)],[c_116015,c_8255]) ).
tcf(c_119244,plain,
r2_hidden(iPr_def_27,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_119242,c_8266]) ).
tcf(c_119245,plain,
m1_subset_1(iPr_def_27,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_119236,c_8266]) ).
tcf(c_119248,plain,
( m1_subset_1(iPr_def_32,iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119226,c_8226,c_8227]) ).
tcf(c_119249,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = iPr_def_32 )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119238,c_116015]) ).
tcf(c_119250,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = iPr_def_32 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119249,c_8266]) ).
tcf(c_119253,plain,
! [X0: $i] :
( r1_tarski(iPr_def_32,X0)
| ( k2_tex_4(sK2,sK6(iPr_def_32,X0)) = iPr_def_32 )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119237,c_116015]) ).
tcf(c_119254,plain,
! [X0: $i] :
( r1_tarski(iPr_def_32,X0)
| ( k2_tex_4(sK2,sK6(iPr_def_32,X0)) = iPr_def_32 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119253,c_8266]) ).
tcf(c_119257,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(light_normalisation,[status(thm)],[c_119243,c_116015]) ).
tcf(c_119258,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_32)
| ~ m1_subset_1(X0,iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119257,c_8266]) ).
tcf(c_119262,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = iPr_def_32 )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(X0,iPr_def_32) ),
inference(light_normalisation,[status(thm)],[c_119229,c_116015]) ).
tcf(c_119263,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = iPr_def_32 )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(X0,iPr_def_32) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119262,c_8266]) ).
tcf(c_119267,plain,
! [X0: $i] :
( r2_hidden(iPr_def_27,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119228,c_8266]) ).
tcf(c_119271,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119240,c_8238,c_115717,c_116015]) ).
tcf(c_119272,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119271,c_8266]) ).
tcf(c_119275,plain,
( v1_tsp_1(iPr_def_32,sK3)
| ( k2_tex_4(sK2,sK5(sK3,iPr_def_32)) = iPr_def_32 )
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119239,c_116015]) ).
tcf(c_119276,plain,
( v1_tsp_1(iPr_def_32,sK3)
| ( k2_tex_4(sK2,sK5(sK3,iPr_def_32)) = iPr_def_32 )
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119275,c_8266]) ).
tcf(c_119280,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = iPr_def_32 )
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_32) ),
inference(light_normalisation,[status(thm)],[c_119227,c_116015]) ).
tcf(c_119281,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = iPr_def_32 )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_32) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119280,c_8266]) ).
tcf(c_119285,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_32,k4_tex_4(sK3,iPr_def_27)) = k1_struct_0(sK3,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119241,c_116015]) ).
tcf(c_119286,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_32,k4_tex_4(sK3,iPr_def_27)) = k1_struct_0(sK3,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119285,c_8266]) ).
tcf(c_119290,plain,
! [X0: $i] :
( ( X0 = iPr_def_32 )
| ( k2_tex_4(sK2,sK6(iPr_def_32,X0)) = iPr_def_32 )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_119232,c_116015]) ).
tcf(c_119291,plain,
! [X0: $i] :
( ( X0 = iPr_def_32 )
| ( k2_tex_4(sK2,sK6(iPr_def_32,X0)) = iPr_def_32 )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119290,c_8266]) ).
tcf(c_119297,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_32)),k4_tex_4(sK2,sK5(sK2,iPr_def_32))) = k1_struct_0(sK2,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_119231,c_116015]) ).
tcf(c_119327,plain,
! [X0: $i] :
( r2_hidden(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_119244,c_152]) ).
tcf(c_119328,plain,
~ r2_hidden(iPr_def_32,iPr_def_27),
inference(superposition,[status(thm)],[c_119244,c_61]) ).
tcf(c_119332,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,k4_tex_4(sK2,iPr_def_27)) = k1_struct_0(sK2,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_119244,c_8246]) ).
tcf(c_119335,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_119332,c_8238,c_115717]) ).
tcf(c_119338,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_119115,c_16488,c_17497]) ).
tcf(c_119339,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(renaming,[status(thm)],[c_119338]) ).
tcf(c_119351,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116624,c_119339]) ).
tcf(c_119352,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114062,c_119339]) ).
tcf(c_119353,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_114137,c_119339]) ).
tcf(c_119354,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_114138,c_119339]) ).
tcf(c_119355,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_114139,c_119339]) ).
tcf(c_119356,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_116663,c_119339]) ).
tcf(c_119359,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK22(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114969,c_119339]) ).
tcf(c_119360,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114962,c_119339]) ).
tcf(c_119361,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115162,c_119339]) ).
tcf(c_119362,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115499,c_119339]) ).
tcf(c_119363,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115506,c_119339]) ).
tcf(c_119364,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115516,c_119339]) ).
tcf(c_119365,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116492,c_119339]) ).
tcf(c_119366,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119356,c_8268]) ).
tcf(c_119370,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119359,c_114801]) ).
tcf(c_119391,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119355,c_8253]) ).
tcf(c_119397,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119354,c_8251]) ).
tcf(c_119403,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119353,c_8249]) ).
tcf(c_119409,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119364,c_115432]) ).
tcf(c_119415,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119363,c_115387]) ).
tcf(c_119421,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119362,c_115361]) ).
tcf(c_119427,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119361,c_115077]) ).
tcf(c_119433,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119360,c_114775]) ).
tcf(c_119508,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_119370,c_81639]) ).
tcf(c_119514,plain,
sK22(sK2) = k1_xboole_0,
inference(superposition,[status(thm)],[c_219,c_119508]) ).
tcf(c_119515,plain,
! [X0: $i] :
( ( sK22(X0) = sK22(sK2) )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_119508]) ).
tcf(c_119520,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,k1_xboole_0,k4_tex_4(sK2,sK6(k1_xboole_0,X0))) = k1_struct_0(sK2,sK6(k1_xboole_0,X0)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(demodulation,[status(thm)],[c_117398,c_119514]) ).
tcf(c_119550,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_119365,c_17588]) ).
tcf(c_119598,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_119514,c_254]) ).
tcf(c_119600,plain,
( m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_119598,c_8226,c_8227]) ).
tcf(c_119642,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| ( sK7(sK3,X0) = X0 )
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_1(sK7(sK3,X0),sK2)
| ~ m1_subset_1(sK7(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116843,c_117091]) ).
tcf(c_119643,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_20,sK7(sK3,k4_tex_4(sK2,X0)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_1(sK7(sK3,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK3,k4_tex_4(sK2,X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116843,c_115533]) ).
tcf(c_119644,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_18,sK7(sK3,k4_tex_4(sK2,X0)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_1(sK7(sK3,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK3,k4_tex_4(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115532]) ).
tcf(c_119645,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(sK7(sK3,k4_tex_4(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_116843,c_115528]) ).
tcf(c_119646,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k4_tex_4(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116843,c_115530]) ).
tcf(c_119647,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(sK3,sK7(sK2,k4_tex_4(sK2,X0))))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_117899]) ).
tcf(c_119714,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| ( sK7(sK3,X0) = X0 )
| ~ v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,X0))
| ~ m1_subset_1(sK7(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114403,c_119642]) ).
tcf(c_119779,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_19)
| v1_tsp_2(X0,sK3)
| r2_hidden(sK7(sK3,X0),iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116985,c_299]) ).
tcf(c_119781,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK7(sK3,X0),iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119779,c_14510]) ).
tcf(c_119794,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117332,c_152]) ).
tcf(c_119795,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_117332,c_61]) ).
tcf(c_119798,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK7(sK2,X0))) = k1_struct_0(sK3,sK7(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117332,c_8259]) ).
tcf(c_119799,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK7(sK2,X0))) = k1_struct_0(sK2,sK7(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117332,c_8246]) ).
tcf(c_119852,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116624,c_117374]) ).
tcf(c_119853,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114062,c_117374]) ).
tcf(c_119854,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114137,c_117374]) ).
tcf(c_119855,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114138,c_117374]) ).
tcf(c_119856,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114139,c_117374]) ).
tcf(c_119857,plain,
( ( k1_xboole_0 = iPr_def_18 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116663,c_117374]) ).
tcf(c_119860,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114962,c_117374]) ).
tcf(c_119861,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115162,c_117374]) ).
tcf(c_119862,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115499,c_117374]) ).
tcf(c_119863,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115506,c_117374]) ).
tcf(c_119864,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115516,c_117374]) ).
tcf(c_119865,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116492,c_117374]) ).
tcf(c_119866,plain,
( ( k1_xboole_0 = iPr_def_18 )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119857,c_8268]) ).
tcf(c_119883,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119856,c_8253]) ).
tcf(c_119888,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119855,c_8251]) ).
tcf(c_119893,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119854,c_8249]) ).
tcf(c_119898,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119864,c_115432]) ).
tcf(c_119903,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119863,c_115387]) ).
tcf(c_119908,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119862,c_115361]) ).
tcf(c_119913,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119861,c_115077]) ).
tcf(c_119918,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119860,c_114775]) ).
tcf(c_119976,plain,
~ r2_hidden(k1_zfmisc_1(iPr_def_28),sK13(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_8234,c_117707]) ).
tcf(c_119982,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114498,c_114653]) ).
tcf(c_119983,plain,
m1_subset_1(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_289,c_114653]) ).
tcf(c_119985,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_114653]) ).
tcf(c_119986,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_114653]) ).
tcf(c_119987,plain,
m1_subset_1(sK12(k1_zfmisc_1(iPr_def_18)),iPr_def_19),
inference(superposition,[status(thm)],[c_114667,c_114653]) ).
tcf(c_119990,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_114653]) ).
tcf(c_119991,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_114653]) ).
tcf(c_119992,plain,
( m1_subset_1(sK17(sK2),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_114653]) ).
tcf(c_119993,plain,
( m1_subset_1(sK19(sK2),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_114653]) ).
tcf(c_119994,plain,
( m1_subset_1(sK25(sK2),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_114653]) ).
tcf(c_119995,plain,
( m1_subset_1(iPr_def_22,iPr_def_19)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_114612,c_114653]) ).
tcf(c_119996,plain,
( m1_subset_1(iPr_def_23,iPr_def_19)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_114607,c_114653]) ).
tcf(c_119997,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_19)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_18))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_18)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_114653]) ).
tcf(c_119998,plain,
( m1_subset_1(iPr_def_24,iPr_def_19)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_114602,c_114653]) ).
tcf(c_119999,plain,
m1_subset_1(sK12(iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_114712,c_114653]) ).
tcf(c_120100,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_119983,c_299]) ).
tcf(c_120101,plain,
( v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(iPr_def_18,sK3) ),
inference(superposition,[status(thm)],[c_119983,c_116308]) ).
tcf(c_120102,plain,
r2_hidden(iPr_def_18,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_120100,c_14510]) ).
tcf(c_120105,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120102,c_152]) ).
tcf(c_120106,plain,
~ r2_hidden(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_120102,c_61]) ).
tcf(c_120109,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,iPr_def_18)) = k1_struct_0(sK3,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120102,c_8259]) ).
tcf(c_120110,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,iPr_def_18)) = k1_struct_0(sK2,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120102,c_8246]) ).
tcf(c_120131,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_19)
| r2_hidden(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_119982,c_299]) ).
tcf(c_120135,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_115015]) ).
tcf(c_120136,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_115182]) ).
tcf(c_120137,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(sK17(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_115946]) ).
tcf(c_120138,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(sK19(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_116135]) ).
tcf(c_120139,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(sK25(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_116154]) ).
tcf(c_120140,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK3)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK5(sK3,sK7(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_119982,c_118217]) ).
tcf(c_120144,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120131,c_14510]) ).
tcf(c_120199,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120144,c_152]) ).
tcf(c_120200,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120144,c_61]) ).
tcf(c_120203,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120144,c_8259]) ).
tcf(c_120204,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120144,c_8246]) ).
tcf(c_120205,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_19)
| ~ v1_xboole_0(sK6(X0,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_120144,c_150]) ).
tcf(c_120254,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_119865,c_17260]) ).
tcf(c_120312,plain,
! [X0: $i] :
( r1_tarski(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_8236,c_115617]) ).
tcf(c_120313,plain,
! [X0: $i,X1: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = X1 )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115617,c_117091]) ).
tcf(c_120314,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115617,c_114653]) ).
tcf(c_120315,plain,
! [X0: $i] :
( r1_tarski(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_120312,c_8238]) ).
tcf(c_120316,plain,
! [X0: $i] :
( r1_tarski(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120315,c_8266]) ).
tcf(c_120319,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_120314,c_8225]) ).
tcf(c_120330,plain,
~ r2_hidden(k1_zfmisc_1(iPr_def_28),sK11(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_8234,c_118014]) ).
tcf(c_120336,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114498,c_114654]) ).
tcf(c_120337,plain,
m1_subset_1(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_289,c_114654]) ).
tcf(c_120339,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_20)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_114654]) ).
tcf(c_120340,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_20)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_114654]) ).
tcf(c_120341,plain,
m1_subset_1(sK12(k1_zfmisc_1(iPr_def_20)),iPr_def_21),
inference(superposition,[status(thm)],[c_114667,c_114654]) ).
tcf(c_120345,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_115617,c_114654]) ).
tcf(c_120351,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_20))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_20)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_114654]) ).
tcf(c_120353,plain,
m1_subset_1(sK12(iPr_def_21),iPr_def_21),
inference(superposition,[status(thm)],[c_114713,c_114654]) ).
tcf(c_120357,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_120345,c_8227]) ).
tcf(c_120376,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120337,c_299]) ).
tcf(c_120377,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(iPr_def_20,sK2) ),
inference(superposition,[status(thm)],[c_120337,c_116313]) ).
tcf(c_120378,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_20)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_20)),k4_tex_4(sK2,sK5(sK2,iPr_def_20))) = k1_struct_0(sK2,sK5(sK2,iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_120337,c_114117]) ).
tcf(c_120379,plain,
r2_hidden(iPr_def_20,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_120376,c_14791]) ).
tcf(c_120400,plain,
! [X0: $i] :
( r2_hidden(iPr_def_20,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120379,c_152]) ).
tcf(c_120401,plain,
~ r2_hidden(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_120379,c_61]) ).
tcf(c_120404,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_20)) = k1_struct_0(sK3,iPr_def_20) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120379,c_8259]) ).
tcf(c_120405,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_20)) = k1_struct_0(sK2,iPr_def_20) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120379,c_8246]) ).
tcf(c_120452,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120336,c_299]) ).
tcf(c_120454,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,X0)))) = k2_tex_4(sK2,sK5(sK2,X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,X0)),k4_tex_4(sK2,sK5(sK2,X0))) = k1_struct_0(sK2,sK5(sK2,X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120336,c_114117]) ).
tcf(c_120455,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120452,c_14791]) ).
tcf(c_120466,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120455,c_152]) ).
tcf(c_120467,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120455,c_61]) ).
tcf(c_120470,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120455,c_8259]) ).
tcf(c_120471,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120455,c_8246]) ).
tcf(c_120472,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_120455,c_150]) ).
tcf(c_120592,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27) = X0 )
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_120313]) ).
tcf(c_120593,plain,
! [X0: $i] :
( ( X0 = iPr_def_30 )
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_32,k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_120592,c_8236,c_8238]) ).
tcf(c_120594,plain,
! [X0: $i] :
( ( X0 = iPr_def_30 )
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_32,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120593,c_8266]) ).
tcf(c_120607,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_21))) = k1_tarski(sK5(sK2,sK12(iPr_def_21))) ) ),
inference(superposition,[status(thm)],[c_173,c_115716]) ).
tcf(c_120608,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k1_struct_0(sK2,sK5(sK2,X0)) = k1_tarski(sK5(sK2,X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120336,c_115716]) ).
tcf(c_120609,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_8249,c_115716]) ).
tcf(c_120610,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_8251,c_115716]) ).
tcf(c_120611,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_8253,c_115716]) ).
tcf(c_120613,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116252,c_115716]) ).
tcf(c_120614,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k4_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k4_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114453,c_115716]) ).
tcf(c_120615,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_32)) = k1_tarski(sK5(sK2,iPr_def_32)) ) ),
inference(superposition,[status(thm)],[c_114462,c_115716]) ).
tcf(c_120616,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_20))) = k1_tarski(sK5(sK2,sK16(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_114308,c_115716]) ).
tcf(c_120617,plain,
( v1_tsp_1(iPr_def_21,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_21),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK5(sK3,iPr_def_21))) = k1_tarski(sK5(sK2,sK5(sK3,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_115716]) ).
tcf(c_120618,plain,
( v1_tsp_1(iPr_def_21,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_21),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK5(sK2,iPr_def_21))) = k1_tarski(sK5(sK2,sK5(sK2,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_115716]) ).
tcf(c_120620,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK2,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_struct_0(sK2,X0))) = k1_tarski(sK5(sK2,k1_struct_0(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114637,c_115716]) ).
tcf(c_120621,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_20)) = k1_tarski(sK5(sK2,iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_120337,c_115716]) ).
tcf(c_120622,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_114775,c_115716]) ).
tcf(c_120623,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115077,c_115716]) ).
tcf(c_120624,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_tarski(sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115531,c_115716]) ).
tcf(c_120625,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115361,c_115716]) ).
tcf(c_120626,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_115387,c_115716]) ).
tcf(c_120627,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_115432,c_115716]) ).
tcf(c_120628,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK7(sK2,X0))) = k1_tarski(sK5(sK2,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116991,c_115716]) ).
tcf(c_120800,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120625,c_117374]) ).
tcf(c_120801,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120625,c_119339]) ).
tcf(c_120802,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120625,c_114501]) ).
tcf(c_120803,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120625,c_113891]) ).
tcf(c_120804,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120800,c_115361]) ).
tcf(c_120808,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120801,c_115361]) ).
tcf(c_120813,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120802,c_115361]) ).
tcf(c_120817,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120803,c_115361]) ).
tcf(c_120840,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120626,c_117374]) ).
tcf(c_120841,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120626,c_119339]) ).
tcf(c_120842,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120626,c_114501]) ).
tcf(c_120843,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120626,c_113891]) ).
tcf(c_120844,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120840,c_115387]) ).
tcf(c_120848,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120841,c_115387]) ).
tcf(c_120853,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120842,c_115387]) ).
tcf(c_120857,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120843,c_115387]) ).
tcf(c_120866,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120627,c_117374]) ).
tcf(c_120867,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120627,c_119339]) ).
tcf(c_120868,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120627,c_114501]) ).
tcf(c_120869,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120627,c_113891]) ).
tcf(c_120870,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120866,c_115432]) ).
tcf(c_120874,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120867,c_115432]) ).
tcf(c_120879,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120868,c_115432]) ).
tcf(c_120883,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120869,c_115432]) ).
tcf(c_120914,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120622,c_117374]) ).
tcf(c_120915,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120622,c_119339]) ).
tcf(c_120916,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120622,c_114501]) ).
tcf(c_120917,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120622,c_113891]) ).
tcf(c_120918,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120914,c_114775]) ).
tcf(c_120922,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120915,c_114775]) ).
tcf(c_120927,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120916,c_114775]) ).
tcf(c_120931,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120917,c_114775]) ).
tcf(c_120948,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120623,c_117374]) ).
tcf(c_120949,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120623,c_119339]) ).
tcf(c_120950,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120623,c_114501]) ).
tcf(c_120951,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120623,c_113891]) ).
tcf(c_120952,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120948,c_115077]) ).
tcf(c_120956,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120949,c_115077]) ).
tcf(c_120961,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120950,c_115077]) ).
tcf(c_120965,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120951,c_115077]) ).
tcf(c_120979,plain,
~ m1_subset_1(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_116625,c_114474]) ).
tcf(c_120980,plain,
( ~ m1_subset_1(iPr_def_19,iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_120144,c_114474]) ).
tcf(c_120989,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114498,c_114655]) ).
tcf(c_120990,plain,
m1_subset_1(iPr_def_28,iPr_def_29),
inference(superposition,[status(thm)],[c_289,c_114655]) ).
tcf(c_120992,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),iPr_def_29)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_28)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_114655]) ).
tcf(c_120993,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),iPr_def_29)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_28)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_114655]) ).
tcf(c_120994,plain,
m1_subset_1(sK12(k1_zfmisc_1(iPr_def_28)),iPr_def_29),
inference(superposition,[status(thm)],[c_114667,c_114655]) ).
tcf(c_120996,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_114655]) ).
tcf(c_120997,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_114655]) ).
tcf(c_120998,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_29)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_115617,c_114655]) ).
tcf(c_120999,plain,
( m1_subset_1(sK17(sK2),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_114655]) ).
tcf(c_121000,plain,
( m1_subset_1(sK19(sK2),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_114655]) ).
tcf(c_121001,plain,
( m1_subset_1(sK25(sK2),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_114655]) ).
tcf(c_121002,plain,
( m1_subset_1(iPr_def_22,iPr_def_29)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_114612,c_114655]) ).
tcf(c_121003,plain,
( m1_subset_1(iPr_def_23,iPr_def_29)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_114607,c_114655]) ).
tcf(c_121004,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),iPr_def_29)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_28))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_28)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_114655]) ).
tcf(c_121005,plain,
( m1_subset_1(iPr_def_24,iPr_def_29)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_114602,c_114655]) ).
tcf(c_121006,plain,
m1_subset_1(sK12(iPr_def_29),iPr_def_29),
inference(superposition,[status(thm)],[c_114714,c_114655]) ).
tcf(c_121010,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_29)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_120998,c_8235]) ).
tcf(c_121116,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(iPr_def_28,iPr_def_29) ),
inference(superposition,[status(thm)],[c_120990,c_299]) ).
tcf(c_121117,plain,
r2_hidden(iPr_def_28,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_121116,c_114042]) ).
tcf(c_121118,plain,
! [X0: $i] :
( r2_hidden(iPr_def_28,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_121117,c_152]) ).
tcf(c_121119,plain,
~ r2_hidden(iPr_def_29,iPr_def_28),
inference(superposition,[status(thm)],[c_121117,c_61]) ).
tcf(c_121122,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,iPr_def_28)) = k1_struct_0(sK3,iPr_def_28) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121117,c_8259]) ).
tcf(c_121123,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,iPr_def_28)) = k1_struct_0(sK2,iPr_def_28) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121117,c_8246]) ).
tcf(c_121143,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_29)
| r2_hidden(X0,iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120989,c_299]) ).
tcf(c_121144,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121143,c_114042]) ).
tcf(c_121159,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_121144,c_152]) ).
tcf(c_121160,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_121144,c_61]) ).
tcf(c_121163,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121144,c_8259]) ).
tcf(c_121164,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121144,c_8246]) ).
tcf(c_121165,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_29)
| ~ v1_xboole_0(sK6(X0,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_121144,c_150]) ).
tcf(c_121166,plain,
( ~ m1_subset_1(iPr_def_29,iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_121144,c_114474]) ).
tcf(c_121225,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,iPr_def_27))) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_120613]) ).
tcf(c_121226,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120613,c_117374]) ).
tcf(c_121227,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120613,c_119339]) ).
tcf(c_121228,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1))) = k1_struct_0(sK2,sK6(k2_tex_4(sK2,X0),X1)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120613,c_114501]) ).
tcf(c_121229,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120613,c_113891]) ).
tcf(c_121230,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_120613,c_113997]) ).
tcf(c_121231,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_32)) = k1_tarski(sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_121225,c_116015]) ).
tcf(c_121312,plain,
( ~ m1_subset_1(iPr_def_19,iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_120144,c_114475]) ).
tcf(c_121313,plain,
( ~ m1_subset_1(iPr_def_21,iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_120455,c_114475]) ).
tcf(c_121314,plain,
( ~ m1_subset_1(iPr_def_29,iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_121144,c_114475]) ).
tcf(c_121345,plain,
r1_tarski(sK11(iPr_def_20,iPr_def_18),iPr_def_28),
inference(superposition,[status(thm)],[c_8234,c_114670]) ).
tcf(c_121346,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,X1) = sK11(X0,X1) )
| ~ v1_tsp_2(sK11(X0,X1),sK2)
| ~ v1_tsp_1(k2_zfmisc_1(X0,X1),sK2)
| ~ m1_subset_1(sK11(X0,X1),iPr_def_21)
| ~ m1_subset_1(k2_zfmisc_1(X0,X1),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114670,c_117091]) ).
tcf(c_121352,plain,
( ( sK11(iPr_def_20,iPr_def_18) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121345,c_117091]) ).
tcf(c_121359,plain,
r1_tarski(sK13(iPr_def_20,iPr_def_18),iPr_def_28),
inference(superposition,[status(thm)],[c_8234,c_114671]) ).
tcf(c_121360,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,X1) = sK13(X0,X1) )
| ~ v1_tsp_2(sK13(X0,X1),sK2)
| ~ v1_tsp_1(k2_zfmisc_1(X0,X1),sK2)
| ~ m1_subset_1(sK13(X0,X1),iPr_def_21)
| ~ m1_subset_1(k2_zfmisc_1(X0,X1),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114671,c_117091]) ).
tcf(c_121366,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121359,c_117091]) ).
tcf(c_121388,plain,
r1_tarski(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_8241,c_114678]) ).
tcf(c_121389,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_18)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_119982,c_114678]) ).
tcf(c_121390,plain,
r1_tarski(iPr_def_25,iPr_def_18),
inference(superposition,[status(thm)],[c_8261,c_114678]) ).
tcf(c_121391,plain,
r1_tarski(iPr_def_26,iPr_def_18),
inference(superposition,[status(thm)],[c_8263,c_114678]) ).
tcf(c_121392,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_116248,c_114678]) ).
tcf(c_121394,plain,
r1_tarski(sK16(iPr_def_18),iPr_def_18),
inference(superposition,[status(thm)],[c_114309,c_114678]) ).
tcf(c_121395,plain,
( v1_tsp_1(iPr_def_19,sK3)
| r1_tarski(sK5(sK3,iPr_def_19),iPr_def_18)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_114678]) ).
tcf(c_121396,plain,
( v1_tsp_1(iPr_def_19,sK2)
| r1_tarski(sK5(sK2,iPr_def_19),iPr_def_18)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_114678]) ).
tcf(c_121397,plain,
r1_tarski(k1_xboole_0,iPr_def_18),
inference(superposition,[status(thm)],[c_114343,c_114678]) ).
tcf(c_121398,plain,
r1_tarski(sK22(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_114799,c_114678]) ).
tcf(c_121399,plain,
r1_tarski(iPr_def_18,iPr_def_18),
inference(superposition,[status(thm)],[c_119983,c_114678]) ).
tcf(c_121400,plain,
r1_tarski(u1_struct_0(sK10(sK3)),iPr_def_18),
inference(superposition,[status(thm)],[c_114773,c_114678]) ).
tcf(c_121401,plain,
r1_tarski(u1_struct_0(sK14(sK3)),iPr_def_18),
inference(superposition,[status(thm)],[c_115075,c_114678]) ).
tcf(c_121402,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115531,c_114678]) ).
tcf(c_121403,plain,
r1_tarski(sK17(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_115359,c_114678]) ).
tcf(c_121404,plain,
r1_tarski(sK19(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_115385,c_114678]) ).
tcf(c_121405,plain,
r1_tarski(sK25(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_115430,c_114678]) ).
tcf(c_121406,plain,
! [X0: $i] :
( r1_tarski(k4_tex_4(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115978,c_114678]) ).
tcf(c_121407,plain,
! [X0: $i] :
( r1_tarski(k1_struct_0(sK3,X0),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115989,c_114678]) ).
tcf(c_121408,plain,
r1_tarski(iPr_def_31,iPr_def_18),
inference(superposition,[status(thm)],[c_115998,c_114678]) ).
tcf(c_121409,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r1_tarski(sK7(sK3,X0),iPr_def_18)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116985,c_114678]) ).
tcf(c_121572,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ v1_tsp_2(iPr_def_17,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(iPr_def_17,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121388,c_117091]) ).
tcf(c_121574,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ v1_tsp_2(iPr_def_17,sK2)
| ~ m1_subset_1(iPr_def_17,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121572,c_116663,c_8268]) ).
tcf(c_121590,plain,
( ( iPr_def_18 = iPr_def_25 )
| ~ v1_tsp_2(iPr_def_25,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_25,iPr_def_21)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121390,c_117091]) ).
tcf(c_121592,plain,
( ( iPr_def_18 = iPr_def_25 )
| ~ v1_tsp_2(iPr_def_25,sK2)
| ~ m1_subset_1(iPr_def_25,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121590,c_116663,c_8268]) ).
tcf(c_121682,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_struct_0(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114878,c_152]) ).
tcf(c_121683,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114878,c_61]) ).
tcf(c_121686,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k1_struct_0(sK2,X0))) = k1_struct_0(sK3,k1_struct_0(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114878,c_8259]) ).
tcf(c_121687,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k1_struct_0(sK2,X0))) = k1_struct_0(sK2,k1_struct_0(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114878,c_8246]) ).
tcf(c_121711,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_20)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120336,c_114679]) ).
tcf(c_121712,plain,
r1_tarski(iPr_def_22,iPr_def_20),
inference(superposition,[status(thm)],[c_8249,c_114679]) ).
tcf(c_121713,plain,
r1_tarski(iPr_def_23,iPr_def_20),
inference(superposition,[status(thm)],[c_8251,c_114679]) ).
tcf(c_121714,plain,
r1_tarski(iPr_def_24,iPr_def_20),
inference(superposition,[status(thm)],[c_8253,c_114679]) ).
tcf(c_121715,plain,
r1_tarski(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_8268,c_114679]) ).
tcf(c_121716,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116252,c_114679]) ).
tcf(c_121717,plain,
! [X0: $i] :
( r1_tarski(k4_tex_4(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114453,c_114679]) ).
tcf(c_121718,plain,
r1_tarski(iPr_def_32,iPr_def_20),
inference(superposition,[status(thm)],[c_114462,c_114679]) ).
tcf(c_121719,plain,
r1_tarski(sK16(iPr_def_20),iPr_def_20),
inference(superposition,[status(thm)],[c_114308,c_114679]) ).
tcf(c_121720,plain,
( v1_tsp_1(iPr_def_21,sK3)
| r1_tarski(sK5(sK3,iPr_def_21),iPr_def_20)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_114679]) ).
tcf(c_121721,plain,
( v1_tsp_1(iPr_def_21,sK2)
| r1_tarski(sK5(sK2,iPr_def_21),iPr_def_20)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_114679]) ).
tcf(c_121722,plain,
r1_tarski(k1_xboole_0,iPr_def_20),
inference(superposition,[status(thm)],[c_114344,c_114679]) ).
tcf(c_121723,plain,
! [X0: $i] :
( r1_tarski(k1_struct_0(sK2,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114637,c_114679]) ).
tcf(c_121724,plain,
r1_tarski(iPr_def_20,iPr_def_20),
inference(superposition,[status(thm)],[c_120337,c_114679]) ).
tcf(c_121725,plain,
r1_tarski(u1_struct_0(sK10(sK2)),iPr_def_20),
inference(superposition,[status(thm)],[c_114775,c_114679]) ).
tcf(c_121726,plain,
r1_tarski(u1_struct_0(sK14(sK2)),iPr_def_20),
inference(superposition,[status(thm)],[c_115077,c_114679]) ).
tcf(c_121727,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115531,c_114679]) ).
tcf(c_121728,plain,
r1_tarski(sK17(sK2),iPr_def_20),
inference(superposition,[status(thm)],[c_115361,c_114679]) ).
tcf(c_121729,plain,
r1_tarski(sK19(sK2),iPr_def_20),
inference(superposition,[status(thm)],[c_115387,c_114679]) ).
tcf(c_121730,plain,
r1_tarski(sK25(sK2),iPr_def_20),
inference(superposition,[status(thm)],[c_115432,c_114679]) ).
tcf(c_121731,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116991,c_114679]) ).
tcf(c_121831,plain,
r1_tarski(sK4,iPr_def_28),
inference(superposition,[status(thm)],[c_8271,c_114680]) ).
tcf(c_121834,plain,
r1_tarski(sK16(iPr_def_28),iPr_def_28),
inference(superposition,[status(thm)],[c_118668,c_114680]) ).
tcf(c_121835,plain,
( v1_tsp_1(iPr_def_29,sK3)
| r1_tarski(sK5(sK3,iPr_def_29),iPr_def_28)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_114680]) ).
tcf(c_121836,plain,
( v1_tsp_1(iPr_def_29,sK2)
| r1_tarski(sK5(sK2,iPr_def_29),iPr_def_28)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_114680]) ).
tcf(c_121837,plain,
r1_tarski(k1_xboole_0,iPr_def_28),
inference(superposition,[status(thm)],[c_114345,c_114680]) ).
tcf(c_121838,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_28)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120989,c_114680]) ).
tcf(c_121839,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_115531,c_114680]) ).
tcf(c_121840,plain,
r1_tarski(iPr_def_28,iPr_def_28),
inference(superposition,[status(thm)],[c_120990,c_114680]) ).
tcf(c_121904,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK16(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114875,c_152]) ).
tcf(c_121905,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK16(X0)) ),
inference(superposition,[status(thm)],[c_114875,c_61]) ).
tcf(c_121908,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_18,k1_zfmisc_1(X0),k4_tex_4(sK3,sK16(X0))) = k1_struct_0(sK3,sK16(X0)) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114875,c_8259]) ).
tcf(c_121909,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,k1_zfmisc_1(X0),k4_tex_4(sK2,sK16(X0))) = k1_struct_0(sK2,sK16(X0)) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114875,c_8246]) ).
tcf(c_121956,plain,
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_30,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115279]) ).
tcf(c_121957,plain,
( v1_tsp_2(iPr_def_32,sK3)
| r2_hidden(iPr_def_30,sK7(sK3,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115279]) ).
tcf(c_121962,plain,
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_30,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121956,c_114462]) ).
tcf(c_121966,plain,
( ( iPr_def_18 = iPr_def_26 )
| ~ v1_tsp_2(iPr_def_26,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_26,iPr_def_21)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121391,c_117091]) ).
tcf(c_121968,plain,
( ( iPr_def_18 = iPr_def_26 )
| ~ v1_tsp_2(iPr_def_26,sK2)
| ~ m1_subset_1(iPr_def_26,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121966,c_116663,c_8268]) ).
tcf(c_121972,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121408,c_117091]) ).
tcf(c_121974,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ m1_subset_1(iPr_def_31,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121972,c_116663,c_8268]) ).
tcf(c_121978,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ v1_tsp_2(iPr_def_22,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121712,c_117091]) ).
tcf(c_121980,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ v1_tsp_2(iPr_def_22,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121978,c_8249,c_120337]) ).
tcf(c_121989,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ v1_tsp_2(iPr_def_23,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121713,c_117091]) ).
tcf(c_121991,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ v1_tsp_2(iPr_def_23,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121989,c_8251,c_120337]) ).
tcf(c_121995,plain,
( ( sK17(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121728,c_117091]) ).
tcf(c_121997,plain,
( ( sK17(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121995,c_120337,c_115361]) ).
tcf(c_122001,plain,
( ( sK19(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121729,c_117091]) ).
tcf(c_122003,plain,
( ( sK19(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122001,c_120337,c_115387]) ).
tcf(c_122007,plain,
( ( sK25(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121730,c_117091]) ).
tcf(c_122009,plain,
( ( sK25(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122007,c_120337,c_115432]) ).
tcf(c_122013,plain,
( ( u1_struct_0(sK10(sK2)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121725,c_117091]) ).
tcf(c_122015,plain,
( ( u1_struct_0(sK10(sK2)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122013,c_120337,c_114775]) ).
tcf(c_122019,plain,
( ( u1_struct_0(sK14(sK2)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121726,c_117091]) ).
tcf(c_122021,plain,
( ( u1_struct_0(sK14(sK2)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122019,c_120337,c_115077]) ).
tcf(c_122060,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121716,c_117091]) ).
tcf(c_122062,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122060,c_120337]) ).
tcf(c_122085,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k4_tex_4(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114881,c_152]) ).
tcf(c_122086,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114881,c_61]) ).
tcf(c_122089,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k4_tex_4(sK2,X0))) = k1_struct_0(sK3,k4_tex_4(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114881,c_8259]) ).
tcf(c_122090,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k4_tex_4(sK2,X0))) = k1_struct_0(sK2,k4_tex_4(sK2,X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114881,c_8246]) ).
tcf(c_122110,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115280]) ).
tcf(c_122111,plain,
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(iPr_def_26,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115280]) ).
tcf(c_122150,plain,
( v1_tsp_2(iPr_def_20,sK2)
| r2_hidden(iPr_def_27,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115281]) ).
tcf(c_122151,plain,
( v1_tsp_2(iPr_def_20,sK3)
| r2_hidden(iPr_def_27,sK7(sK3,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115281]) ).
tcf(c_122156,plain,
( v1_tsp_2(iPr_def_20,sK2)
| r2_hidden(iPr_def_27,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122150,c_120337]) ).
tcf(c_122166,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115282]) ).
tcf(c_122167,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_18,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115282]) ).
tcf(c_122182,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115283]) ).
tcf(c_122183,plain,
( v1_tsp_2(iPr_def_29,sK3)
| r2_hidden(sK4,sK7(sK3,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115283]) ).
tcf(c_122192,plain,
( ( iPr_def_20 = iPr_def_24 )
| ~ v1_tsp_2(iPr_def_24,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121714,c_117091]) ).
tcf(c_122194,plain,
( ( iPr_def_20 = iPr_def_24 )
| ~ v1_tsp_2(iPr_def_24,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122192,c_8253,c_120337]) ).
tcf(c_122198,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ v1_tsp_2(iPr_def_18,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121715,c_117091]) ).
tcf(c_122200,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122198,c_8270,c_120337,c_8268]) ).
tcf(c_122203,plain,
( ( iPr_def_20 = iPr_def_32 )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121718,c_117091]) ).
tcf(c_122205,plain,
r2_hidden(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_121718,c_115279]) ).
tcf(c_122206,plain,
( ( iPr_def_20 = iPr_def_32 )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122203,c_114462,c_120337]) ).
tcf(c_122210,plain,
( ( sK4 = iPr_def_28 )
| ~ v1_tsp_2(sK4,sK2)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(sK4,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121831,c_117091]) ).
tcf(c_122242,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_117091]) ).
tcf(c_122244,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_117899]) ).
tcf(c_122250,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122242,c_120337]) ).
tcf(c_122287,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_122110,c_152]) ).
tcf(c_122288,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),iPr_def_26) ),
inference(superposition,[status(thm)],[c_122110,c_61]) ).
tcf(c_122289,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_122110,c_305]) ).
tcf(c_122290,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_26,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122110,c_292]) ).
tcf(c_122291,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,iPr_def_26)) = k1_struct_0(sK3,iPr_def_26) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122110,c_8259]) ).
tcf(c_122292,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,iPr_def_26)) = k1_struct_0(sK2,iPr_def_26) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122110,c_8246]) ).
tcf(c_122330,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_122166,c_152]) ).
tcf(c_122331,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_18) ),
inference(superposition,[status(thm)],[c_122166,c_61]) ).
tcf(c_122332,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_122166,c_305]) ).
tcf(c_122333,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_18,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122166,c_292]) ).
tcf(c_122334,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_18)) = k1_struct_0(sK3,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122166,c_8259]) ).
tcf(c_122335,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_18)) = k1_struct_0(sK2,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122166,c_8246]) ).
tcf(c_122389,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_122182,c_152]) ).
tcf(c_122390,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),sK4) ),
inference(superposition,[status(thm)],[c_122182,c_61]) ).
tcf(c_122391,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_122182,c_305]) ).
tcf(c_122392,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK4,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122182,c_292]) ).
tcf(c_122393,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_29),k4_tex_4(sK3,sK4)) = k1_struct_0(sK3,sK4) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122182,c_8259]) ).
tcf(c_122394,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK4)) = k1_struct_0(sK2,sK4) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122182,c_8246]) ).
tcf(c_122451,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_122205,c_152]) ).
tcf(c_122452,plain,
~ r2_hidden(iPr_def_20,iPr_def_30),
inference(superposition,[status(thm)],[c_122205,c_61]) ).
tcf(c_122454,plain,
m1_subset_1(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_122205,c_292]) ).
tcf(c_122455,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_122205,c_8259]) ).
tcf(c_122456,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122205,c_8246]) ).
tcf(c_122459,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122456,c_120337]) ).
tcf(c_122462,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_122455,c_8237,c_116046]) ).
tcf(c_122520,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30) = k1_funct_1(sK4,iPr_def_30),
inference(superposition,[status(thm)],[c_122454,c_116408]) ).
tcf(c_122521,plain,
k4_tex_4(sK2,iPr_def_30) = k2_tex_4(sK2,iPr_def_30),
inference(superposition,[status(thm)],[c_122454,c_116002]) ).
tcf(c_122522,plain,
k1_struct_0(sK2,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_122454,c_115708]) ).
tcf(c_122523,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) = k2_tex_4(sK2,iPr_def_30) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_30),k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) ) ),
inference(superposition,[status(thm)],[c_122454,c_114071]) ).
tcf(c_122524,plain,
k1_struct_0(sK2,iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_122522,c_115775]) ).
tcf(c_122527,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,k2_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(demodulation,[status(thm)],[c_114202,c_122521]) ).
tcf(c_122537,plain,
( r2_hidden(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122524,c_114878]) ).
tcf(c_122538,plain,
( v1_tsp_1(k1_struct_0(sK2,iPr_def_30),sK2)
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122524,c_116651]) ).
tcf(c_122539,plain,
( m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122524,c_114637]) ).
tcf(c_122540,plain,
m1_subset_1(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_122539,c_122454]) ).
tcf(c_122541,plain,
r2_hidden(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_122537,c_122454]) ).
tcf(c_122542,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_122538,c_122524]) ).
tcf(c_122543,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ~ v1_tsp_2(iPr_def_31,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122542,c_122454]) ).
tcf(c_122556,plain,
r1_tarski(iPr_def_31,iPr_def_20),
inference(superposition,[status(thm)],[c_122540,c_114679]) ).
tcf(c_122557,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_31)) = k1_tarski(sK5(sK2,iPr_def_31)) ) ),
inference(superposition,[status(thm)],[c_122540,c_115716]) ).
tcf(c_122559,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_31)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_31)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_31)),k4_tex_4(sK2,sK5(sK2,iPr_def_31))) = k1_struct_0(sK2,sK5(sK2,iPr_def_31)) ) ),
inference(superposition,[status(thm)],[c_122540,c_114117]) ).
tcf(c_122577,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_122541,c_152]) ).
tcf(c_122578,plain,
~ r2_hidden(iPr_def_21,iPr_def_31),
inference(superposition,[status(thm)],[c_122541,c_61]) ).
tcf(c_122581,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,iPr_def_31)) = k1_struct_0(sK3,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_122541,c_8259]) ).
tcf(c_122582,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,iPr_def_31)) = k1_struct_0(sK2,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122541,c_8246]) ).
tcf(c_122644,plain,
( ( iPr_def_20 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122556,c_117091]) ).
tcf(c_122646,plain,
( ( iPr_def_20 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122644,c_122540,c_120337]) ).
tcf(c_122656,plain,
( ( sK16(iPr_def_18) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121394,c_117091]) ).
tcf(c_122658,plain,
( ( sK16(iPr_def_18) = iPr_def_18 )
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122656,c_116663,c_8268]) ).
tcf(c_122668,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120813,c_117091]) ).
tcf(c_122669,plain,
( m1_subset_1(sK17(sK2),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120813,c_114653]) ).
tcf(c_122671,plain,
( m1_subset_1(sK17(sK2),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120813,c_114655]) ).
tcf(c_122678,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122668,c_115361]) ).
tcf(c_122696,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120853,c_117091]) ).
tcf(c_122697,plain,
( m1_subset_1(sK19(sK2),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120853,c_114653]) ).
tcf(c_122699,plain,
( m1_subset_1(sK19(sK2),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120853,c_114655]) ).
tcf(c_122706,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122696,c_115387]) ).
tcf(c_122755,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120879,c_117091]) ).
tcf(c_122756,plain,
( m1_subset_1(sK25(sK2),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120879,c_114653]) ).
tcf(c_122758,plain,
( m1_subset_1(sK25(sK2),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120879,c_114655]) ).
tcf(c_122765,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122755,c_115432]) ).
tcf(c_122814,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ v1_xboole_0(sK17(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_120817]) ).
tcf(c_122827,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ v1_xboole_0(sK19(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_120857]) ).
tcf(c_122840,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ v1_xboole_0(sK25(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_120883]) ).
tcf(c_122851,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120927,c_117091]) ).
tcf(c_122852,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120927,c_114653]) ).
tcf(c_122854,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120927,c_114655]) ).
tcf(c_122861,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122851,c_114775]) ).
tcf(c_122874,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120961,c_117091]) ).
tcf(c_122875,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120961,c_114653]) ).
tcf(c_122877,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120961,c_114655]) ).
tcf(c_122884,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122874,c_115077]) ).
tcf(c_122897,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115285]) ).
tcf(c_122898,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_32,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115285]) ).
tcf(c_122913,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115286]) ).
tcf(c_122914,plain,
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115286]) ).
tcf(c_123045,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115287]) ).
tcf(c_123046,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115287]) ).
tcf(c_123061,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115288]) ).
tcf(c_123062,plain,
( v1_tsp_2(iPr_def_29,sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115288]) ).
tcf(c_123071,plain,
( ( sK22(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK22(sK3),sK2)
| ~ m1_subset_1(sK22(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121398,c_117091]) ).
tcf(c_123073,plain,
( ( sK22(sK3) = iPr_def_18 )
| ~ v1_tsp_2(sK22(sK3),sK2)
| ~ m1_subset_1(sK22(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123071,c_116663,c_8268]) ).
tcf(c_123077,plain,
( ( sK17(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121403,c_117091]) ).
tcf(c_123079,plain,
( ( sK17(sK3) = iPr_def_18 )
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123077,c_116663,c_8268]) ).
tcf(c_123083,plain,
( ( sK19(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121404,c_117091]) ).
tcf(c_123085,plain,
( ( sK19(sK3) = iPr_def_18 )
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123083,c_116663,c_8268]) ).
tcf(c_123089,plain,
( ( sK25(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121405,c_117091]) ).
tcf(c_123091,plain,
( ( sK25(sK3) = iPr_def_18 )
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123089,c_116663,c_8268]) ).
tcf(c_123103,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_122897,c_152]) ).
tcf(c_123104,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_32) ),
inference(superposition,[status(thm)],[c_122897,c_61]) ).
tcf(c_123106,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_32,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122897,c_292]) ).
tcf(c_123107,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_32)) = k1_struct_0(sK3,iPr_def_32) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122897,c_8259]) ).
tcf(c_123108,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_32)) = k1_struct_0(sK2,iPr_def_32) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122897,c_8246]) ).
tcf(c_123142,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_122913,c_152]) ).
tcf(c_123143,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_122913,c_61]) ).
tcf(c_123145,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122913,c_292]) ).
tcf(c_123146,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122913,c_8259]) ).
tcf(c_123147,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122913,c_8246]) ).
tcf(c_123189,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123045,c_152]) ).
tcf(c_123190,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_123045,c_61]) ).
tcf(c_123192,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123045,c_292]) ).
tcf(c_123193,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123045,c_8259]) ).
tcf(c_123194,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123045,c_8246]) ).
tcf(c_123243,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_123061,c_152]) ).
tcf(c_123244,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_123061,c_61]) ).
tcf(c_123246,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123061,c_292]) ).
tcf(c_123247,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_29),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123061,c_8259]) ).
tcf(c_123248,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123061,c_8246]) ).
tcf(c_123282,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_120931]) ).
tcf(c_123295,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_120965]) ).
tcf(c_123329,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_18,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114887,c_152]) ).
tcf(c_123330,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_114887,c_61]) ).
tcf(c_123333,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114887,c_8259]) ).
tcf(c_123334,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114887,c_8246]) ).
tcf(c_123340,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123334,c_116663,c_8268]) ).
tcf(c_123343,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123333,c_119983]) ).
tcf(c_123362,plain,
( v1_tsp_2(iPr_def_18,sK3)
| r2_hidden(iPr_def_30,sK7(sK3,iPr_def_18))
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115289]) ).
tcf(c_123364,plain,
( v1_tsp_2(iPr_def_18,sK3)
| r2_hidden(iPr_def_30,sK7(sK3,iPr_def_18))
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123362,c_119983]) ).
tcf(c_123374,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115437]) ).
tcf(c_123375,plain,
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(iPr_def_25,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115437]) ).
tcf(c_123390,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115451]) ).
tcf(c_123391,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_24,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115451]) ).
tcf(c_123406,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115465]) ).
tcf(c_123407,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_23,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115465]) ).
tcf(c_123429,plain,
( ( sK16(iPr_def_20) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121719,c_117091]) ).
tcf(c_123431,plain,
( ( sK16(iPr_def_20) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123429,c_120337,c_114308]) ).
tcf(c_123435,plain,
( ( sK16(iPr_def_28) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121834,c_117091]) ).
tcf(c_123442,plain,
( ( u1_struct_0(sK10(sK3)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121400,c_117091]) ).
tcf(c_123444,plain,
( ( u1_struct_0(sK10(sK3)) = iPr_def_18 )
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123442,c_116663,c_8268]) ).
tcf(c_123448,plain,
( ( u1_struct_0(sK14(sK3)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121401,c_117091]) ).
tcf(c_123450,plain,
( ( u1_struct_0(sK14(sK3)) = iPr_def_18 )
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123448,c_116663,c_8268]) ).
tcf(c_123462,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_123374,c_152]) ).
tcf(c_123463,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),iPr_def_25) ),
inference(superposition,[status(thm)],[c_123374,c_61]) ).
tcf(c_123465,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_25,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123374,c_292]) ).
tcf(c_123466,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,iPr_def_25)) = k1_struct_0(sK3,iPr_def_25) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123374,c_8259]) ).
tcf(c_123467,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,iPr_def_25)) = k1_struct_0(sK2,iPr_def_25) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123374,c_8246]) ).
tcf(c_123510,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123390,c_152]) ).
tcf(c_123511,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_24) ),
inference(superposition,[status(thm)],[c_123390,c_61]) ).
tcf(c_123513,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_24,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123390,c_292]) ).
tcf(c_123514,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_24)) = k1_struct_0(sK3,iPr_def_24) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123390,c_8259]) ).
tcf(c_123515,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_24)) = k1_struct_0(sK2,iPr_def_24) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123390,c_8246]) ).
tcf(c_123558,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123406,c_152]) ).
tcf(c_123559,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_23) ),
inference(superposition,[status(thm)],[c_123406,c_61]) ).
tcf(c_123561,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_23,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123406,c_292]) ).
tcf(c_123562,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_23)) = k1_struct_0(sK3,iPr_def_23) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123406,c_8259]) ).
tcf(c_123563,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_23)) = k1_struct_0(sK2,iPr_def_23) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123406,c_8246]) ).
tcf(c_123647,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_struct_0(sK20,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(sK20))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_115758,c_152]) ).
tcf(c_123648,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115758,c_61]) ).
tcf(c_123649,plain,
! [X0: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(X0,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_115758,c_305]) ).
tcf(c_123651,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK3,k1_struct_0(sK20,X0))) = k1_struct_0(sK3,k1_struct_0(sK20,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115758,c_8259]) ).
tcf(c_123652,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK2,k1_struct_0(sK20,X0))) = k1_struct_0(sK2,k1_struct_0(sK20,X0)) )
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115758,c_8246]) ).
tcf(c_123680,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115484]) ).
tcf(c_123681,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_22,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115484]) ).
tcf(c_123696,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_32)) ),
inference(superposition,[status(thm)],[c_116849,c_115606]) ).
tcf(c_123697,plain,
( v1_tsp_2(iPr_def_32,sK3)
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,iPr_def_32)) ),
inference(superposition,[status(thm)],[c_116843,c_115606]) ).
tcf(c_123717,plain,
( v1_tsp_2(iPr_def_32,sK2)
| m1_subset_1(iPr_def_30,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115621]) ).
tcf(c_123718,plain,
( v1_tsp_2(iPr_def_32,sK3)
| m1_subset_1(iPr_def_30,sK7(sK3,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115621]) ).
tcf(c_123724,plain,
( v1_tsp_2(iPr_def_32,sK2)
| m1_subset_1(iPr_def_30,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123717,c_114462]) ).
tcf(c_123734,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115694]) ).
tcf(c_123735,plain,
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(iPr_def_17,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115694]) ).
tcf(c_123744,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_115717,c_114878]) ).
tcf(c_123745,plain,
( v1_tsp_1(k1_struct_0(sK2,iPr_def_27),sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(superposition,[status(thm)],[c_115717,c_116651]) ).
tcf(c_123746,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_115717,c_114637]) ).
tcf(c_123747,plain,
m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_123746,c_8266]) ).
tcf(c_123748,plain,
r2_hidden(k1_tarski(iPr_def_27),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_123744,c_8266]) ).
tcf(c_123749,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(light_normalisation,[status(thm)],[c_123745,c_115717]) ).
tcf(c_123750,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123749,c_8266]) ).
tcf(c_123768,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123680,c_152]) ).
tcf(c_123769,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_22) ),
inference(superposition,[status(thm)],[c_123680,c_61]) ).
tcf(c_123771,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_22,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123680,c_292]) ).
tcf(c_123772,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_22)) = k1_struct_0(sK3,iPr_def_22) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123680,c_8259]) ).
tcf(c_123773,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_22)) = k1_struct_0(sK2,iPr_def_22) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123680,c_8246]) ).
tcf(c_123814,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_123734,c_152]) ).
tcf(c_123815,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),iPr_def_17) ),
inference(superposition,[status(thm)],[c_123734,c_61]) ).
tcf(c_123817,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_17,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123734,c_292]) ).
tcf(c_123818,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,iPr_def_17)) = k1_struct_0(sK3,iPr_def_17) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123734,c_8259]) ).
tcf(c_123819,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,iPr_def_17)) = k1_struct_0(sK2,iPr_def_17) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123734,c_8246]) ).
tcf(c_123888,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r2_hidden(sK7(sK2,iPr_def_32),iPr_def_30) ),
inference(superposition,[status(thm)],[c_121962,c_61]) ).
tcf(c_123891,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_32),k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121962,c_8259]) ).
tcf(c_123903,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_121974,c_18841,c_19383]) ).
tcf(c_123915,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_123748,c_152]) ).
tcf(c_123916,plain,
~ r2_hidden(iPr_def_21,k1_tarski(iPr_def_27)),
inference(superposition,[status(thm)],[c_123748,c_61]) ).
tcf(c_123919,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_123748,c_8259]) ).
tcf(c_123920,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123748,c_8246]) ).
tcf(c_123950,plain,
r1_tarski(k1_tarski(iPr_def_27),iPr_def_20),
inference(superposition,[status(thm)],[c_123747,c_114679]) ).
tcf(c_123951,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_tarski(iPr_def_27))) = k1_tarski(sK5(sK2,k1_tarski(iPr_def_27))) ) ),
inference(superposition,[status(thm)],[c_123747,c_115716]) ).
tcf(c_123953,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_tarski(iPr_def_27))))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(iPr_def_27))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_tarski(iPr_def_27))),k4_tex_4(sK2,sK5(sK2,k1_tarski(iPr_def_27)))) = k1_struct_0(sK2,sK5(sK2,k1_tarski(iPr_def_27))) ) ),
inference(superposition,[status(thm)],[c_123747,c_114117]) ).
tcf(c_123965,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_116071]) ).
tcf(c_123966,plain,
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(iPr_def_31,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_116071]) ).
tcf(c_123979,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| v1_xboole_0(sK5(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK12(sK5(sK3,X0))) ),
inference(superposition,[status(thm)],[c_115274,c_119169]) ).
tcf(c_123980,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| v1_xboole_0(sK5(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK12(sK5(sK2,X0))) ),
inference(superposition,[status(thm)],[c_115275,c_119169]) ).
tcf(c_123998,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123950,c_117091]) ).
tcf(c_124000,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123998,c_120337,c_123747]) ).
tcf(c_124018,plain,
v1_tsp_1(k1_xboole_0,sK3),
inference(global_subsumption_just,[status(thm)],[c_118722,c_11229]) ).
tcf(c_124034,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_123965,c_152]) ).
tcf(c_124035,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),iPr_def_31) ),
inference(superposition,[status(thm)],[c_123965,c_61]) ).
tcf(c_124037,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_31,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123965,c_292]) ).
tcf(c_124038,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,iPr_def_31)) = k1_struct_0(sK3,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123965,c_8259]) ).
tcf(c_124039,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,iPr_def_31)) = k1_struct_0(sK2,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_123965,c_8246]) ).
tcf(c_124077,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_20,sK2)
| r2_hidden(iPr_def_27,X0)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_20),X0) ),
inference(superposition,[status(thm)],[c_122156,c_152]) ).
tcf(c_124078,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r2_hidden(sK7(sK2,iPr_def_20),iPr_def_27) ),
inference(superposition,[status(thm)],[c_122156,c_61]) ).
tcf(c_124079,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_xboole_0(sK7(sK2,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_122156,c_305]) ).
tcf(c_124080,plain,
( v1_tsp_2(iPr_def_20,sK2)
| m1_subset_1(iPr_def_27,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(superposition,[status(thm)],[c_122156,c_292]) ).
tcf(c_124081,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_20),k4_tex_4(sK3,iPr_def_27)) = k1_struct_0(sK3,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122156,c_8259]) ).
tcf(c_124082,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_20),k4_tex_4(sK2,iPr_def_27)) = k1_struct_0(sK2,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122156,c_8246]) ).
tcf(c_124096,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_20),iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_124082,c_8238,c_115717]) ).
tcf(c_124149,plain,
( v1_tsp_2(iPr_def_32,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_32))
| r2_hidden(iPr_def_30,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(superposition,[status(thm)],[c_123724,c_299]) ).
tcf(c_124158,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120609,c_117374]) ).
tcf(c_124159,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_120609,c_119339]) ).
tcf(c_124160,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120609,c_114501]) ).
tcf(c_124161,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120609,c_113891]) ).
tcf(c_124162,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124158,c_8249]) ).
tcf(c_124166,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124159,c_8249]) ).
tcf(c_124171,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124160,c_8249]) ).
tcf(c_124175,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124161,c_8249]) ).
tcf(c_124184,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k4_tex_4(sK3,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115986,c_152]) ).
tcf(c_124185,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115986,c_61]) ).
tcf(c_124188,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k4_tex_4(sK3,X0))) = k1_struct_0(sK3,k4_tex_4(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115986,c_8259]) ).
tcf(c_124189,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k4_tex_4(sK3,X0))) = k1_struct_0(sK2,k4_tex_4(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115986,c_8246]) ).
tcf(c_124209,plain,
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_27,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_119327]) ).
tcf(c_124210,plain,
( v1_tsp_2(iPr_def_32,sK3)
| r2_hidden(iPr_def_27,sK7(sK3,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_119327]) ).
tcf(c_124216,plain,
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_27,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124209,c_114462]) ).
tcf(c_124226,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_120105]) ).
tcf(c_124227,plain,
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(iPr_def_18,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_120105]) ).
tcf(c_124242,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_120400]) ).
tcf(c_124243,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_20,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_120400]) ).
tcf(c_124264,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_121118]) ).
tcf(c_124265,plain,
( v1_tsp_2(iPr_def_29,sK3)
| r2_hidden(iPr_def_28,sK7(sK3,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_121118]) ).
tcf(c_124282,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_124226,c_152]) ).
tcf(c_124283,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),iPr_def_18) ),
inference(superposition,[status(thm)],[c_124226,c_61]) ).
tcf(c_124285,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_18,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124226,c_292]) ).
tcf(c_124286,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,iPr_def_18)) = k1_struct_0(sK3,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124226,c_8259]) ).
tcf(c_124287,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,iPr_def_18)) = k1_struct_0(sK2,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124226,c_8246]) ).
tcf(c_124331,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_124242,c_152]) ).
tcf(c_124332,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_20) ),
inference(superposition,[status(thm)],[c_124242,c_61]) ).
tcf(c_124334,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_20,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124242,c_292]) ).
tcf(c_124335,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_20)) = k1_struct_0(sK3,iPr_def_20) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124242,c_8259]) ).
tcf(c_124336,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_20)) = k1_struct_0(sK2,iPr_def_20) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124242,c_8246]) ).
tcf(c_124370,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_124264,c_152]) ).
tcf(c_124371,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),iPr_def_28) ),
inference(superposition,[status(thm)],[c_124264,c_61]) ).
tcf(c_124373,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(iPr_def_28,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124264,c_292]) ).
tcf(c_124374,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_29),k4_tex_4(sK3,iPr_def_28)) = k1_struct_0(sK3,iPr_def_28) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124264,c_8259]) ).
tcf(c_124375,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,iPr_def_28)) = k1_struct_0(sK2,iPr_def_28) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124264,c_8246]) ).
tcf(c_124419,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| r2_hidden(iPr_def_27,X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_124216,c_152]) ).
tcf(c_124420,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r2_hidden(sK7(sK2,iPr_def_32),iPr_def_27) ),
inference(superposition,[status(thm)],[c_124216,c_61]) ).
tcf(c_124422,plain,
( v1_tsp_2(iPr_def_32,sK2)
| m1_subset_1(iPr_def_27,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(superposition,[status(thm)],[c_124216,c_292]) ).
tcf(c_124423,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_32),k4_tex_4(sK3,iPr_def_27)) = k1_struct_0(sK3,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124216,c_8259]) ).
tcf(c_124424,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_32),k4_tex_4(sK2,iPr_def_27)) = k1_struct_0(sK2,iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124216,c_8246]) ).
tcf(c_124435,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_32),iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_32),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_32),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_124424,c_8238,c_115717]) ).
tcf(c_124479,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120610,c_117374]) ).
tcf(c_124480,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_120610,c_119339]) ).
tcf(c_124481,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120610,c_114501]) ).
tcf(c_124482,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120610,c_113891]) ).
tcf(c_124483,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124479,c_8251]) ).
tcf(c_124487,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124480,c_8251]) ).
tcf(c_124492,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124481,c_8251]) ).
tcf(c_124496,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124482,c_8251]) ).
tcf(c_124505,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120611,c_117374]) ).
tcf(c_124506,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_120611,c_119339]) ).
tcf(c_124507,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120611,c_114501]) ).
tcf(c_124508,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_120611,c_113891]) ).
tcf(c_124509,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124505,c_8253]) ).
tcf(c_124513,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124506,c_8253]) ).
tcf(c_124518,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124507,c_8253]) ).
tcf(c_124522,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124508,c_8253]) ).
tcf(c_124570,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_struct_0(sK3,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115999,c_152]) ).
tcf(c_124571,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115999,c_61]) ).
tcf(c_124574,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k1_struct_0(sK3,X0))) = k1_struct_0(sK3,k1_struct_0(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115999,c_8259]) ).
tcf(c_124575,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k1_struct_0(sK3,X0))) = k1_struct_0(sK2,k1_struct_0(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115999,c_8246]) ).
tcf(c_124606,plain,
( v1_tsp_2(iPr_def_20,sK2)
| r2_hidden(iPr_def_30,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_122451]) ).
tcf(c_124607,plain,
( v1_tsp_2(iPr_def_20,sK3)
| r2_hidden(iPr_def_30,sK7(sK3,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_122451]) ).
tcf(c_124612,plain,
( v1_tsp_2(iPr_def_20,sK2)
| r2_hidden(iPr_def_30,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124606,c_120337]) ).
tcf(c_124628,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_122577]) ).
tcf(c_124629,plain,
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(iPr_def_31,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_122577]) ).
tcf(c_124647,plain,
sK22(sK8) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_114338]) ).
tcf(c_124648,plain,
sK22(sK3) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_114338]) ).
tcf(c_124649,plain,
! [X0: $i] :
( ( sK22(sK14(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_114338]) ).
tcf(c_124650,plain,
! [X0: $i] :
( ( sK22(sK10(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_114338]) ).
tcf(c_124659,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ l1_pre_topc(sK8) ),
inference(superposition,[status(thm)],[c_124647,c_254]) ).
tcf(c_124661,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_124648,c_254]) ).
tcf(c_124663,plain,
( m1_subset_1(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_124661,c_8224,c_8225]) ).
tcf(c_124673,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK6(k1_zfmisc_1(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_114499,c_301]) ).
tcf(c_124674,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1)
| ( sK6(k1_zfmisc_1(u1_struct_0(X0)),X1) = X2 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X2,sK6(k1_zfmisc_1(u1_struct_0(X0)),X1))
| ~ v1_tsp_1(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0) ),
inference(superposition,[status(thm)],[c_114499,c_158]) ).
tcf(c_124675,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1)
| v1_tsp_2(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| r1_tarski(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),sK7(X0,sK6(k1_zfmisc_1(u1_struct_0(X0)),X1)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0) ),
inference(superposition,[status(thm)],[c_114499,c_155]) ).
tcf(c_124676,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1)
| v1_tsp_2(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| v1_tsp_1(sK7(X0,sK6(k1_zfmisc_1(u1_struct_0(X0)),X1)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0) ),
inference(superposition,[status(thm)],[c_114499,c_154]) ).
tcf(c_124677,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1)
| v1_tsp_1(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK6(k1_zfmisc_1(u1_struct_0(X0)),X1),X0) ),
inference(superposition,[status(thm)],[c_114499,c_157]) ).
tcf(c_124678,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK20),X0)
| ( k1_struct_0(sK20,sK6(u1_struct_0(sK20),X0)) = k1_tarski(sK6(u1_struct_0(sK20),X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_6743]) ).
tcf(c_124679,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r1_tarski(sK6(iPr_def_21,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114499,c_114679]) ).
tcf(c_124680,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| v1_tsp_1(sK6(iPr_def_21,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK6(iPr_def_21,X0))) = k1_tarski(sK5(sK2,sK6(iPr_def_21,X0))) ) ),
inference(superposition,[status(thm)],[c_114499,c_115716]) ).
tcf(c_124681,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| v1_tsp_1(sK6(iPr_def_21,X0),sK2)
| ~ v1_tsp_2(sK6(iPr_def_21,X0),sK2) ),
inference(superposition,[status(thm)],[c_114499,c_116313]) ).
tcf(c_124682,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| v1_tsp_1(sK6(iPr_def_21,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK6(iPr_def_21,X0))))) = k2_tex_4(sK2,sK5(sK2,sK6(iPr_def_21,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK6(iPr_def_21,X0))),k4_tex_4(sK2,sK5(sK2,sK6(iPr_def_21,X0)))) = k1_struct_0(sK2,sK5(sK2,sK6(iPr_def_21,X0))) ) ),
inference(superposition,[status(thm)],[c_114499,c_114117]) ).
tcf(c_124683,plain,
! [X0: $i] :
( r1_tarski(iPr_def_20,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK6(iPr_def_20,X0)) = k1_funct_1(sK4,sK6(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_116408]) ).
tcf(c_124684,plain,
! [X0: $i] :
( r1_tarski(iPr_def_20,X0)
| ( k4_tex_4(sK2,sK6(iPr_def_20,X0)) = k2_tex_4(sK2,sK6(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_116002]) ).
tcf(c_124685,plain,
! [X0: $i] :
( r1_tarski(iPr_def_20,X0)
| ( k1_struct_0(sK2,sK6(iPr_def_20,X0)) = k1_tarski(sK6(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_115708]) ).
tcf(c_124686,plain,
! [X0: $i] :
( r1_tarski(iPr_def_20,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK6(iPr_def_20,X0)))) = k2_tex_4(sK2,sK6(iPr_def_20,X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK6(iPr_def_20,X0)),k4_tex_4(sK2,sK6(iPr_def_20,X0))) = k1_struct_0(sK2,sK6(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_114071]) ).
tcf(c_124687,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r1_tarski(sK6(iPr_def_19,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_114499,c_114678]) ).
tcf(c_124688,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| v1_tsp_1(sK6(iPr_def_19,X0),sK3)
| ~ v1_tsp_2(sK6(iPr_def_19,X0),sK3) ),
inference(superposition,[status(thm)],[c_114499,c_116308]) ).
tcf(c_124689,plain,
! [X0: $i] :
( r1_tarski(iPr_def_18,X0)
| ( k4_tex_4(sK3,sK6(iPr_def_18,X0)) = k2_tex_4(sK3,sK6(iPr_def_18,X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_116034]) ).
tcf(c_124690,plain,
! [X0: $i] :
( r1_tarski(iPr_def_18,X0)
| ( k1_struct_0(sK3,sK6(iPr_def_18,X0)) = k1_tarski(sK6(iPr_def_18,X0)) ) ),
inference(superposition,[status(thm)],[c_114499,c_115761]) ).
tcf(c_124691,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r1_tarski(sK6(iPr_def_29,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_114499,c_114680]) ).
tcf(c_124840,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK2))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_119514,c_114795]) ).
tcf(c_124841,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK3))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_124648,c_114795]) ).
tcf(c_124842,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK8))
| ~ l1_pre_topc(sK8) ),
inference(superposition,[status(thm)],[c_124647,c_114795]) ).
tcf(c_124843,plain,
( r1_tarski(sK22(sK2),iPr_def_20)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_114795]) ).
tcf(c_124844,plain,
( r1_tarski(sK22(sK3),iPr_def_18)
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_114795]) ).
tcf(c_124845,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK22(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),sK2)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(sK22(X0),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114795,c_117091]) ).
tcf(c_124846,plain,
( r1_tarski(k1_xboole_0,iPr_def_18)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_124844,c_124648]) ).
tcf(c_124847,plain,
( r1_tarski(k1_xboole_0,iPr_def_20)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_124843,c_119514]) ).
tcf(c_124870,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_124628,c_152]) ).
tcf(c_124871,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),iPr_def_31) ),
inference(superposition,[status(thm)],[c_124628,c_61]) ).
tcf(c_124873,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_31,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124628,c_292]) ).
tcf(c_124874,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,iPr_def_31)) = k1_struct_0(sK3,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124628,c_8259]) ).
tcf(c_124875,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,iPr_def_31)) = k1_struct_0(sK2,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124628,c_8246]) ).
tcf(c_124913,plain,
( ( u1_struct_0(sK2) = sK22(sK2) )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK2),sK2)
| ~ m1_subset_1(sK22(sK2),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_119514,c_124845]) ).
tcf(c_124914,plain,
( ( u1_struct_0(sK3) = sK22(sK3) )
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK3),sK2)
| ~ m1_subset_1(sK22(sK3),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124648,c_124845]) ).
tcf(c_124915,plain,
( ( u1_struct_0(sK8) = sK22(sK8) )
| ~ l1_pre_topc(sK8)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK8),sK2)
| ~ m1_subset_1(sK22(sK8),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK8),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124647,c_124845]) ).
tcf(c_124916,plain,
( ( u1_struct_0(sK8) = k1_xboole_0 )
| ~ l1_pre_topc(sK8)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK8),sK2)
| ~ m1_subset_1(u1_struct_0(sK8),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_124915,c_124647]) ).
tcf(c_124917,plain,
( ( u1_struct_0(sK8) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK8),sK2)
| ~ m1_subset_1(u1_struct_0(sK8),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124916,c_169,c_114344]) ).
tcf(c_124922,plain,
( ( k1_xboole_0 = iPr_def_18 )
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_124914,c_8224,c_124648]) ).
tcf(c_124924,plain,
( ( k1_xboole_0 = iPr_def_20 )
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_124913,c_8226,c_119514]) ).
tcf(c_124925,plain,
( ( k1_xboole_0 = iPr_def_20 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124924,c_8273,c_120337,c_114344]) ).
tcf(c_124941,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_20,sK2)
| r2_hidden(iPr_def_30,X0)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_20),X0) ),
inference(superposition,[status(thm)],[c_124612,c_152]) ).
tcf(c_124942,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r2_hidden(sK7(sK2,iPr_def_20),iPr_def_30) ),
inference(superposition,[status(thm)],[c_124612,c_61]) ).
tcf(c_124944,plain,
( v1_tsp_2(iPr_def_20,sK2)
| m1_subset_1(iPr_def_30,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(superposition,[status(thm)],[c_124612,c_292]) ).
tcf(c_124945,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_20),k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124612,c_8259]) ).
tcf(c_124946,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_20),k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124612,c_8246]) ).
tcf(c_124957,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_20),k2_tex_4(sK2,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_124946,c_122521,c_122524]) ).
tcf(c_124963,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_20),k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(sK7(sK2,iPr_def_20),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_20),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_124945,c_8237,c_116046]) ).
tcf(c_124981,plain,
( ( k1_xboole_0 = iPr_def_18 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_123073,c_124648]) ).
tcf(c_124993,plain,
( r2_hidden(iPr_def_32,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_27,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_116015,c_116255]) ).
tcf(c_124994,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_116255]) ).
tcf(c_124995,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,X0),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_116255]) ).
tcf(c_124996,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k2_tex_4(X0,X2),X1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_116255,c_152]) ).
tcf(c_124997,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),k2_tex_4(X0,X1)) ),
inference(superposition,[status(thm)],[c_116255,c_61]) ).
tcf(c_124998,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X1)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(superposition,[status(thm)],[c_116255,c_305]) ).
tcf(c_125000,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,k2_tex_4(X0,X1))) = k1_struct_0(sK3,k2_tex_4(X0,X1)) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116255,c_8259]) ).
tcf(c_125001,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,k2_tex_4(X0,X1))) = k1_struct_0(sK2,k2_tex_4(X0,X1)) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116255,c_8246]) ).
tcf(c_125002,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK2)),iPr_def_20)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_116255,c_114474]) ).
tcf(c_125003,plain,
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK3)),iPr_def_18)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK3)),u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_116255,c_114475]) ).
tcf(c_125004,plain,
( r2_hidden(iPr_def_32,iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_124993,c_8226,c_8227]) ).
tcf(c_125005,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,X0),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_124995,c_8224,c_8225]) ).
tcf(c_125007,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,X0),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_124994,c_8226,c_8227]) ).
tcf(c_125009,plain,
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_125003,c_8224,c_8225]) ).
tcf(c_125010,plain,
~ m1_subset_1(iPr_def_19,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_125009,c_8269]) ).
tcf(c_125011,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_125002,c_8226,c_8227]) ).
tcf(c_125044,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_114884]) ).
tcf(c_125045,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8227,c_114884]) ).
tcf(c_125046,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_114884]) ).
tcf(c_125047,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114884,c_152]) ).
tcf(c_125048,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114884,c_61]) ).
tcf(c_125049,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_114884,c_305]) ).
tcf(c_125051,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(X0),k4_tex_4(sK3,X1)) = k1_struct_0(sK3,X1) )
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114884,c_8259]) ).
tcf(c_125052,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(X0),k4_tex_4(sK2,X1)) = k1_struct_0(sK2,X1) )
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114884,c_8246]) ).
tcf(c_125053,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(sK6(X0,k1_zfmisc_1(X1)),X1) ),
inference(superposition,[status(thm)],[c_114884,c_150]) ).
tcf(c_125054,plain,
! [X0: $i] :
( ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_114884,c_114474]) ).
tcf(c_125055,plain,
! [X0: $i] :
( ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK3,k1_zfmisc_1(X0)),X0) ),
inference(superposition,[status(thm)],[c_114884,c_114475]) ).
tcf(c_125135,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,X0),iPr_def_19)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_125044]) ).
tcf(c_125136,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,X0),iPr_def_19)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_125044]) ).
tcf(c_125137,plain,
r2_hidden(sK12(k1_zfmisc_1(iPr_def_18)),iPr_def_19),
inference(superposition,[status(thm)],[c_114667,c_125044]) ).
tcf(c_125139,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120927,c_125044]) ).
tcf(c_125140,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_125044]) ).
tcf(c_125141,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120961,c_125044]) ).
tcf(c_125142,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_125044]) ).
tcf(c_125143,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115617,c_125044]) ).
tcf(c_125144,plain,
( r2_hidden(sK17(sK2),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120813,c_125044]) ).
tcf(c_125145,plain,
( r2_hidden(sK17(sK2),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_125044]) ).
tcf(c_125146,plain,
( r2_hidden(sK19(sK2),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120853,c_125044]) ).
tcf(c_125147,plain,
( r2_hidden(sK19(sK2),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_125044]) ).
tcf(c_125148,plain,
( r2_hidden(sK25(sK2),iPr_def_19)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_120879,c_125044]) ).
tcf(c_125149,plain,
( r2_hidden(sK25(sK2),iPr_def_19)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_125044]) ).
tcf(c_125150,plain,
( r2_hidden(iPr_def_22,iPr_def_19)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_114612,c_125044]) ).
tcf(c_125151,plain,
( r2_hidden(iPr_def_23,iPr_def_19)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_114607,c_125044]) ).
tcf(c_125152,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),iPr_def_19)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_18))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_18)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_125044]) ).
tcf(c_125153,plain,
( r2_hidden(iPr_def_24,iPr_def_19)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_114602,c_125044]) ).
tcf(c_125154,plain,
r2_hidden(sK12(iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_114712,c_125044]) ).
tcf(c_125167,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_125143,c_8225]) ).
tcf(c_125351,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,X0),iPr_def_21)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_20)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_125045]) ).
tcf(c_125352,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,X0),iPr_def_21)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_20)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_125045]) ).
tcf(c_125353,plain,
r2_hidden(sK12(k1_zfmisc_1(iPr_def_20)),iPr_def_21),
inference(superposition,[status(thm)],[c_114667,c_125045]) ).
tcf(c_125359,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_115617,c_125045]) ).
tcf(c_125368,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),iPr_def_21)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_20))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_20)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_125045]) ).
tcf(c_125370,plain,
r2_hidden(sK12(iPr_def_21),iPr_def_21),
inference(superposition,[status(thm)],[c_114713,c_125045]) ).
tcf(c_125387,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_125359,c_8227]) ).
tcf(c_125440,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,X0),iPr_def_29)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_28)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_125046]) ).
tcf(c_125441,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,X0),iPr_def_29)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_28)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_125046]) ).
tcf(c_125442,plain,
r2_hidden(sK12(k1_zfmisc_1(iPr_def_28)),iPr_def_29),
inference(superposition,[status(thm)],[c_114667,c_125046]) ).
tcf(c_125444,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120927,c_125046]) ).
tcf(c_125445,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_125046]) ).
tcf(c_125446,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120961,c_125046]) ).
tcf(c_125447,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_125046]) ).
tcf(c_125448,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_29)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_115617,c_125046]) ).
tcf(c_125449,plain,
( r2_hidden(sK17(sK2),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120813,c_125046]) ).
tcf(c_125450,plain,
( r2_hidden(sK17(sK2),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_125046]) ).
tcf(c_125451,plain,
( r2_hidden(sK19(sK2),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120853,c_125046]) ).
tcf(c_125452,plain,
( r2_hidden(sK19(sK2),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_125046]) ).
tcf(c_125453,plain,
( r2_hidden(sK25(sK2),iPr_def_29)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_120879,c_125046]) ).
tcf(c_125454,plain,
( r2_hidden(sK25(sK2),iPr_def_29)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_125046]) ).
tcf(c_125455,plain,
( r2_hidden(iPr_def_22,iPr_def_29)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_114612,c_125046]) ).
tcf(c_125456,plain,
( r2_hidden(iPr_def_23,iPr_def_29)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_114607,c_125046]) ).
tcf(c_125457,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),iPr_def_29)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_28))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_28)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_125046]) ).
tcf(c_125458,plain,
( r2_hidden(iPr_def_24,iPr_def_29)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_114602,c_125046]) ).
tcf(c_125459,plain,
r2_hidden(sK12(iPr_def_29),iPr_def_29),
inference(superposition,[status(thm)],[c_114714,c_125046]) ).
tcf(c_125465,plain,
! [X0: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_29)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_125448,c_8235]) ).
tcf(c_125628,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_125154,c_152]) ).
tcf(c_125629,plain,
~ r2_hidden(iPr_def_19,sK12(iPr_def_19)),
inference(superposition,[status(thm)],[c_125154,c_61]) ).
tcf(c_125632,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125154,c_8259]) ).
tcf(c_125633,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125154,c_8246]) ).
tcf(c_125662,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_125370,c_152]) ).
tcf(c_125663,plain,
~ r2_hidden(iPr_def_21,sK12(iPr_def_21)),
inference(superposition,[status(thm)],[c_125370,c_61]) ).
tcf(c_125666,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125370,c_8259]) ).
tcf(c_125667,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125370,c_8246]) ).
tcf(c_125687,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_125459,c_152]) ).
tcf(c_125688,plain,
~ r2_hidden(iPr_def_29,sK12(iPr_def_29)),
inference(superposition,[status(thm)],[c_125459,c_61]) ).
tcf(c_125691,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125459,c_8259]) ).
tcf(c_125692,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125459,c_8246]) ).
tcf(c_125782,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(iPr_def_26,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122290,c_299]) ).
tcf(c_125815,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_18,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122333,c_299]) ).
tcf(c_125870,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_32),iPr_def_30) ),
inference(superposition,[status(thm)],[c_116849,c_115648]) ).
tcf(c_125871,plain,
( v1_tsp_2(iPr_def_32,sK3)
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ r2_hidden(sK7(sK3,iPr_def_32),iPr_def_30) ),
inference(superposition,[status(thm)],[c_116843,c_115648]) ).
tcf(c_125882,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115799,c_152]) ).
tcf(c_125883,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_115799,c_61]) ).
tcf(c_125884,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115799,c_305]) ).
tcf(c_125885,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115799,c_292]) ).
tcf(c_125886,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115799,c_8259]) ).
tcf(c_125887,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115799,c_8246]) ).
tcf(c_125888,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115799,c_8258]) ).
tcf(c_125889,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115799,c_8245]) ).
tcf(c_125890,plain,
( v1_tsp_1(sK16(iPr_def_20),sK3)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115799,c_114471]) ).
tcf(c_125891,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115799,c_114472]) ).
tcf(c_125892,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115799,c_115529]) ).
tcf(c_125893,plain,
( v1_xboole_0(sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK12(sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115799,c_119169]) ).
tcf(c_125905,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK16(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125891,c_114308]) ).
tcf(c_125937,plain,
( v1_tsp_2(iPr_def_21,sK3)
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_116843,c_125884]) ).
tcf(c_125946,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115952,c_152]) ).
tcf(c_125947,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115952,c_61]) ).
tcf(c_125948,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115952,c_305]) ).
tcf(c_125949,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115952,c_292]) ).
tcf(c_125950,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115952,c_8259]) ).
tcf(c_125951,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115952,c_8246]) ).
tcf(c_125952,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115952,c_8258]) ).
tcf(c_125953,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115952,c_8245]) ).
tcf(c_125954,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115952,c_114471]) ).
tcf(c_125955,plain,
( v1_tsp_1(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115952,c_114472]) ).
tcf(c_125956,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115952,c_115529]) ).
tcf(c_125957,plain,
( v1_xboole_0(sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115952,c_119169]) ).
tcf(c_125972,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK16(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125954,c_114309]) ).
tcf(c_126013,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_29))
| r2_hidden(sK4,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_122392,c_299]) ).
tcf(c_126040,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_32,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123106,c_299]) ).
tcf(c_126054,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123145,c_299]) ).
tcf(c_126068,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123192,c_299]) ).
tcf(c_126082,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_29))
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123246,c_299]) ).
tcf(c_126102,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(iPr_def_25,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123465,c_299]) ).
tcf(c_126126,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_24,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123513,c_299]) ).
tcf(c_126140,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_23,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123561,c_299]) ).
tcf(c_126161,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_118603,c_152]) ).
tcf(c_126162,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118603,c_61]) ).
tcf(c_126165,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k2_tex_4(sK3,X0))) = k1_struct_0(sK3,k2_tex_4(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_118603,c_8259]) ).
tcf(c_126166,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k2_tex_4(sK3,X0))) = k1_struct_0(sK2,k2_tex_4(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_118603,c_8246]) ).
tcf(c_126232,plain,
( v1_tsp_2(iPr_def_19,sK3)
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_116843,c_125948]) ).
tcf(c_126264,plain,
( r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_116046,c_115986]) ).
tcf(c_126265,plain,
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_116046,c_115978]) ).
tcf(c_126266,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_116046,c_115087]) ).
tcf(c_126267,plain,
~ v1_xboole_0(k2_tex_4(sK3,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_126266,c_114708]) ).
tcf(c_126268,plain,
m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_126265,c_114708]) ).
tcf(c_126269,plain,
r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_126264,c_114708]) ).
tcf(c_126296,plain,
r1_tarski(k2_tex_4(sK3,iPr_def_30),iPr_def_18),
inference(superposition,[status(thm)],[c_126268,c_114678]) ).
tcf(c_126297,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK3) ),
inference(superposition,[status(thm)],[c_126268,c_116308]) ).
tcf(c_126300,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_126269,c_152]) ).
tcf(c_126301,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,iPr_def_30)),
inference(superposition,[status(thm)],[c_126269,c_61]) ).
tcf(c_126304,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k2_tex_4(sK3,iPr_def_30))) = k1_struct_0(sK3,k2_tex_4(sK3,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126269,c_8259]) ).
tcf(c_126305,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k2_tex_4(sK3,iPr_def_30))) = k1_struct_0(sK2,k2_tex_4(sK3,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126269,c_8246]) ).
tcf(c_126314,plain,
( ( k2_tex_4(sK3,iPr_def_30) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_126296,c_117091]) ).
tcf(c_126317,plain,
( ( k2_tex_4(sK3,iPr_def_30) = iPr_def_18 )
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126314,c_116663,c_8268]) ).
tcf(c_126503,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_22,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123771,c_299]) ).
tcf(c_126517,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(iPr_def_17,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123817,c_299]) ).
tcf(c_126556,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(iPr_def_31,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124037,c_299]) ).
tcf(c_126570,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(iPr_def_18,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124285,c_299]) ).
tcf(c_126584,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_20,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124334,c_299]) ).
tcf(c_126598,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_29))
| r2_hidden(iPr_def_28,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124373,c_299]) ).
tcf(c_126612,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(iPr_def_31,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_124873,c_299]) ).
tcf(c_126624,plain,
( r1_tarski(iPr_def_30,iPr_def_18)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8236,c_121402]) ).
tcf(c_126625,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121402,c_117091]) ).
tcf(c_126628,plain,
( r1_tarski(iPr_def_30,iPr_def_18)
| ~ r1_tarski(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_126624,c_8238]) ).
tcf(c_126629,plain,
( r1_tarski(iPr_def_30,iPr_def_18)
| ~ r1_tarski(iPr_def_32,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126628,c_8266]) ).
tcf(c_126632,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_18 )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126625,c_116663,c_8268]) ).
tcf(c_126655,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_116108]) ).
tcf(c_126656,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_116108]) ).
tcf(c_126684,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117727,c_152]) ).
tcf(c_126685,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_117727,c_61]) ).
tcf(c_126687,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_117727,c_292]) ).
tcf(c_126688,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117727,c_8259]) ).
tcf(c_126689,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117727,c_8246]) ).
tcf(c_126690,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_117727,c_8258]) ).
tcf(c_126691,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_117727,c_8245]) ).
tcf(c_126692,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,sK17(sK2))) ),
inference(superposition,[status(thm)],[c_117727,c_114471]) ).
tcf(c_126693,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK17(sK2))) ),
inference(superposition,[status(thm)],[c_117727,c_114472]) ).
tcf(c_126694,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK17(sK2))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_117727,c_115529]) ).
tcf(c_126695,plain,
( v1_xboole_0(sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_117727,c_119169]) ).
tcf(c_126705,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK17(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126693,c_115361]) ).
tcf(c_126761,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117747,c_152]) ).
tcf(c_126762,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_117747,c_61]) ).
tcf(c_126764,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_117747,c_292]) ).
tcf(c_126765,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117747,c_8259]) ).
tcf(c_126766,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117747,c_8246]) ).
tcf(c_126767,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_117747,c_8258]) ).
tcf(c_126768,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_117747,c_8245]) ).
tcf(c_126769,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,sK19(sK2))) ),
inference(superposition,[status(thm)],[c_117747,c_114471]) ).
tcf(c_126770,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK19(sK2))) ),
inference(superposition,[status(thm)],[c_117747,c_114472]) ).
tcf(c_126771,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK19(sK2))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_117747,c_115529]) ).
tcf(c_126772,plain,
( v1_xboole_0(sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_117747,c_119169]) ).
tcf(c_126782,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK19(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126770,c_115387]) ).
tcf(c_126824,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117775,c_152]) ).
tcf(c_126825,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_117775,c_61]) ).
tcf(c_126827,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_117775,c_292]) ).
tcf(c_126828,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117775,c_8259]) ).
tcf(c_126829,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117775,c_8246]) ).
tcf(c_126830,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_117775,c_8258]) ).
tcf(c_126831,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_117775,c_8245]) ).
tcf(c_126832,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,sK25(sK2))) ),
inference(superposition,[status(thm)],[c_117775,c_114471]) ).
tcf(c_126833,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK25(sK2))) ),
inference(superposition,[status(thm)],[c_117775,c_114472]) ).
tcf(c_126834,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK25(sK2))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_117775,c_115529]) ).
tcf(c_126835,plain,
( v1_xboole_0(sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_117775,c_119169]) ).
tcf(c_126845,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK25(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126833,c_115432]) ).
tcf(c_126912,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117792,c_152]) ).
tcf(c_126913,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_117792,c_61]) ).
tcf(c_126915,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_117792,c_292]) ).
tcf(c_126916,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_117792,c_8259]) ).
tcf(c_126917,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117792,c_8246]) ).
tcf(c_126918,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_117792,c_8258]) ).
tcf(c_126919,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_117792,c_8245]) ).
tcf(c_126920,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ~ m1_subset_1(sK17(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK17(sK3))) ),
inference(superposition,[status(thm)],[c_117792,c_114471]) ).
tcf(c_126921,plain,
( v1_tsp_1(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,sK17(sK3))) ),
inference(superposition,[status(thm)],[c_117792,c_114472]) ).
tcf(c_126922,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK17(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_117792,c_115529]) ).
tcf(c_126923,plain,
( v1_xboole_0(sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK17(sK3))) ),
inference(superposition,[status(thm)],[c_117792,c_119169]) ).
tcf(c_126936,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK17(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126920,c_115359]) ).
tcf(c_127039,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118028,c_152]) ).
tcf(c_127040,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_118028,c_61]) ).
tcf(c_127042,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_118028,c_292]) ).
tcf(c_127043,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118028,c_8259]) ).
tcf(c_127044,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118028,c_8246]) ).
tcf(c_127045,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118028,c_8258]) ).
tcf(c_127046,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118028,c_8245]) ).
tcf(c_127047,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ~ m1_subset_1(sK19(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK19(sK3))) ),
inference(superposition,[status(thm)],[c_118028,c_114471]) ).
tcf(c_127048,plain,
( v1_tsp_1(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,sK19(sK3))) ),
inference(superposition,[status(thm)],[c_118028,c_114472]) ).
tcf(c_127049,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK19(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_118028,c_115529]) ).
tcf(c_127050,plain,
( v1_xboole_0(sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK19(sK3))) ),
inference(superposition,[status(thm)],[c_118028,c_119169]) ).
tcf(c_127063,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK19(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127047,c_115385]) ).
tcf(c_127116,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_126655]) ).
tcf(c_127117,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_126655]) ).
tcf(c_127118,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_126655]) ).
tcf(c_127119,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_126655,c_152]) ).
tcf(c_127120,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k1_zfmisc_1(X0)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_126655,c_61]) ).
tcf(c_127121,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_126655,c_305]) ).
tcf(c_127122,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_126655,c_292]) ).
tcf(c_127123,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_126655,c_8259]) ).
tcf(c_127124,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_126655,c_8246]) ).
tcf(c_127163,plain,
( r1_tarski(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_121727]) ).
tcf(c_127164,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121727,c_117091]) ).
tcf(c_127167,plain,
( r1_tarski(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_127163,c_8238]) ).
tcf(c_127168,plain,
( r1_tarski(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_32,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127167,c_8266]) ).
tcf(c_127171,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127164,c_120337]) ).
tcf(c_127184,plain,
( r1_tarski(iPr_def_30,iPr_def_28)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),iPr_def_29) ),
inference(superposition,[status(thm)],[c_8236,c_121839]) ).
tcf(c_127185,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121839,c_117091]) ).
tcf(c_127188,plain,
( r1_tarski(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,iPr_def_29)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_127184,c_8238]) ).
tcf(c_127189,plain,
( r1_tarski(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,iPr_def_29) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127188,c_8266]) ).
tcf(c_127229,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27) = iPr_def_28 )
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_127185]) ).
tcf(c_127230,plain,
( ( iPr_def_28 = iPr_def_30 )
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ r1_tarski(iPr_def_32,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_21)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_127229,c_8236,c_8238]) ).
tcf(c_127231,plain,
( ( iPr_def_28 = iPr_def_30 )
| ~ v1_tsp_2(iPr_def_30,sK2)
| ~ r1_tarski(iPr_def_32,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_21)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127230,c_8266]) ).
tcf(c_127266,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118042,c_152]) ).
tcf(c_127267,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_118042,c_61]) ).
tcf(c_127269,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_118042,c_292]) ).
tcf(c_127270,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118042,c_8259]) ).
tcf(c_127271,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118042,c_8246]) ).
tcf(c_127272,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118042,c_8258]) ).
tcf(c_127273,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118042,c_8245]) ).
tcf(c_127274,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ~ m1_subset_1(sK25(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK25(sK3))) ),
inference(superposition,[status(thm)],[c_118042,c_114471]) ).
tcf(c_127275,plain,
( v1_tsp_1(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,sK25(sK3))) ),
inference(superposition,[status(thm)],[c_118042,c_114472]) ).
tcf(c_127276,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK25(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_118042,c_115529]) ).
tcf(c_127277,plain,
( v1_xboole_0(sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK25(sK3))) ),
inference(superposition,[status(thm)],[c_118042,c_119169]) ).
tcf(c_127290,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK25(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127274,c_115430]) ).
tcf(c_127374,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118672,c_152]) ).
tcf(c_127375,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_61]) ).
tcf(c_127376,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_118672,c_305]) ).
tcf(c_127377,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_118672,c_292]) ).
tcf(c_127378,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118672,c_8259]) ).
tcf(c_127379,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118672,c_8246]) ).
tcf(c_127380,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118672,c_8258]) ).
tcf(c_127381,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118672,c_8245]) ).
tcf(c_127382,plain,
( v1_tsp_1(sK16(iPr_def_28),sK3)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK5(sK3,sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_118672,c_114471]) ).
tcf(c_127383,plain,
( v1_tsp_1(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK5(sK2,sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_118672,c_114472]) ).
tcf(c_127384,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_118672,c_115529]) ).
tcf(c_127385,plain,
( v1_xboole_0(sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,sK12(sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_118672,c_119169]) ).
tcf(c_127443,plain,
( v1_tsp_2(iPr_def_29,sK3)
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_116843,c_127376]) ).
tcf(c_127548,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122521,c_122086]) ).
tcf(c_127549,plain,
( r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122521,c_114881]) ).
tcf(c_127550,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,iPr_def_30)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122521,c_118438]) ).
tcf(c_127551,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,iPr_def_30)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_122521,c_118401]) ).
tcf(c_127552,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),sK7(sK2,sK7(sK2,k2_tex_4(sK2,iPr_def_30))))
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122521,c_117916]) ).
tcf(c_127553,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_122521,c_117899]) ).
tcf(c_127554,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_117874]) ).
tcf(c_127555,plain,
( v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_122521,c_116645]) ).
tcf(c_127556,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122521,c_115533]) ).
tcf(c_127557,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122521,c_115532]) ).
tcf(c_127558,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_122521,c_115880]) ).
tcf(c_127559,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_122521,c_115864]) ).
tcf(c_127560,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_115537]) ).
tcf(c_127561,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),sK3)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_115536]) ).
tcf(c_127562,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122521,c_115645]) ).
tcf(c_127563,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122521,c_115528]) ).
tcf(c_127564,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122521,c_115530]) ).
tcf(c_127565,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,iPr_def_30),k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122521,c_114473]) ).
tcf(c_127566,plain,
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122521,c_114453]) ).
tcf(c_127567,plain,
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122521,c_114316]) ).
tcf(c_127568,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122521,c_114352]) ).
tcf(c_127569,plain,
( ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,iPr_def_30),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122521,c_113927]) ).
tcf(c_127570,plain,
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,iPr_def_30),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_122521,c_113903]) ).
tcf(c_127571,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122521,c_8275]) ).
tcf(c_127572,plain,
~ v1_xboole_0(k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_127568,c_122454]) ).
tcf(c_127573,plain,
m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_127566,c_122454]) ).
tcf(c_127574,plain,
r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_127549,c_122454]) ).
tcf(c_127575,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_127548,c_122454]) ).
tcf(c_127576,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_127571,c_122520]) ).
tcf(c_127577,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_127576,c_122454]) ).
tcf(c_127578,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_127567,c_122520]) ).
tcf(c_127579,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_127578,c_122454]) ).
tcf(c_127580,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127564,c_122454]) ).
tcf(c_127583,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_127565,c_122520]) ).
tcf(c_127584,plain,
~ r2_hidden(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_127583,c_122454]) ).
tcf(c_127585,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(light_normalisation,[status(thm)],[c_127555,c_122521]) ).
tcf(c_127586,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127585,c_122454]) ).
tcf(c_127589,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(light_normalisation,[status(thm)],[c_127563,c_122520]) ).
tcf(c_127590,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127589,c_122454]) ).
tcf(c_127594,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_127554,c_122521]) ).
tcf(c_127595,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127594,c_122454]) ).
tcf(c_127599,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(light_normalisation,[status(thm)],[c_127562,c_122520]) ).
tcf(c_127600,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127599,c_122454]) ).
tcf(c_127604,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_127559,c_122520]) ).
tcf(c_127605,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127604,c_122454]) ).
tcf(c_127609,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_127558,c_122520]) ).
tcf(c_127610,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127609,c_122454]) ).
tcf(c_127614,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_127553,c_122520,c_122521]) ).
tcf(c_127615,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127614,c_122454]) ).
tcf(c_127620,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_30),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(light_normalisation,[status(thm)],[c_127570,c_122520,c_122521]) ).
tcf(c_127621,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_30),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127620,c_122454]) ).
tcf(c_127624,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK3)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK5(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_127561,c_122520]) ).
tcf(c_127625,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK5(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127624,c_122454]) ).
tcf(c_127629,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK5(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_127560,c_122520]) ).
tcf(c_127630,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK5(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127629,c_122454]) ).
tcf(c_127634,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,iPr_def_30),k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_127569,c_122520,c_122521]) ).
tcf(c_127635,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,iPr_def_30),k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127634,c_122454]) ).
tcf(c_127639,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(light_normalisation,[status(thm)],[c_127557,c_122520]) ).
tcf(c_127640,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127639,c_122454]) ).
tcf(c_127645,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(light_normalisation,[status(thm)],[c_127556,c_122520]) ).
tcf(c_127646,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127645,c_122454]) ).
tcf(c_127651,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(light_normalisation,[status(thm)],[c_127551,c_122520,c_122521]) ).
tcf(c_127652,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127651,c_122454]) ).
tcf(c_127656,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),sK7(sK2,sK7(sK2,k2_tex_4(sK2,iPr_def_30))))
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_127552,c_122520,c_122521]) ).
tcf(c_127657,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),sK7(sK2,sK7(sK2,k2_tex_4(sK2,iPr_def_30))))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127656,c_122454]) ).
tcf(c_127664,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,iPr_def_30)),k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_127550,c_122520,c_122521]) ).
tcf(c_127665,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,iPr_def_30)),k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127664,c_122454]) ).
tcf(c_127734,plain,
r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_127573,c_114679]) ).
tcf(c_127735,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,iPr_def_30))) ) ),
inference(superposition,[status(thm)],[c_127573,c_115716]) ).
tcf(c_127737,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) ) ),
inference(superposition,[status(thm)],[c_127573,c_114117]) ).
tcf(c_127743,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_127574,c_152]) ).
tcf(c_127747,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k2_tex_4(sK2,iPr_def_30))) = k1_struct_0(sK3,k2_tex_4(sK2,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127574,c_8259]) ).
tcf(c_127748,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k2_tex_4(sK2,iPr_def_30))) = k1_struct_0(sK2,k2_tex_4(sK2,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127574,c_8246]) ).
tcf(c_127757,plain,
( ( k2_tex_4(sK2,iPr_def_30) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_127734,c_117091]) ).
tcf(c_127760,plain,
( ( k2_tex_4(sK2,iPr_def_30) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127757,c_120337,c_127573]) ).
tcf(c_127764,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_127577,c_152]) ).
tcf(c_127770,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,iPr_def_30) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_127577,c_8245]) ).
tcf(c_127773,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,iPr_def_30) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127770,c_122454]) ).
tcf(c_127834,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_123915,c_152]) ).
tcf(c_127835,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123915,c_61]) ).
tcf(c_127837,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_123915,c_292]) ).
tcf(c_127838,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_123915,c_8259]) ).
tcf(c_127839,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_123915,c_8246]) ).
tcf(c_127840,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_123915,c_8258]) ).
tcf(c_127841,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_123915,c_8245]) ).
tcf(c_127842,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k1_tarski(iPr_def_27))) ),
inference(superposition,[status(thm)],[c_123915,c_114471]) ).
tcf(c_127843,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(iPr_def_27))) ),
inference(superposition,[status(thm)],[c_123915,c_114472]) ).
tcf(c_127844,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_123915,c_115529]) ).
tcf(c_127845,plain,
( v1_xboole_0(k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK12(k1_tarski(iPr_def_27))) ),
inference(superposition,[status(thm)],[c_123915,c_119169]) ).
tcf(c_127848,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(iPr_def_27))),
inference(forward_subsumption_resolution,[status(thm)],[c_127845,c_191]) ).
tcf(c_127854,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(iPr_def_27))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127843,c_123747]) ).
tcf(c_127904,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125628,c_152]) ).
tcf(c_127905,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_125628,c_61]) ).
tcf(c_127907,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_125628,c_292]) ).
tcf(c_127908,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125628,c_8259]) ).
tcf(c_127909,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125628,c_8246]) ).
tcf(c_127910,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_125628,c_8258]) ).
tcf(c_127911,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_125628,c_8245]) ).
tcf(c_127912,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_125628,c_114471]) ).
tcf(c_127913,plain,
( v1_tsp_1(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_125628,c_114472]) ).
tcf(c_127914,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_125628,c_115529]) ).
tcf(c_127915,plain,
( v1_xboole_0(sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_125628,c_119169]) ).
tcf(c_127928,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK12(iPr_def_19))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_127912,c_173]) ).
tcf(c_128063,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125662,c_152]) ).
tcf(c_128064,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_61]) ).
tcf(c_128066,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_125662,c_292]) ).
tcf(c_128067,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125662,c_8259]) ).
tcf(c_128068,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125662,c_8246]) ).
tcf(c_128069,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_125662,c_8258]) ).
tcf(c_128070,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_125662,c_8245]) ).
tcf(c_128071,plain,
( v1_tsp_1(sK12(iPr_def_21),sK3)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_125662,c_114471]) ).
tcf(c_128072,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_125662,c_114472]) ).
tcf(c_128073,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_125662,c_115529]) ).
tcf(c_128074,plain,
( v1_xboole_0(sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK12(sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_125662,c_119169]) ).
tcf(c_128084,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK12(iPr_def_21))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128072,c_173]) ).
tcf(c_128179,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125687,c_152]) ).
tcf(c_128180,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_61]) ).
tcf(c_128182,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_125687,c_292]) ).
tcf(c_128183,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125687,c_8259]) ).
tcf(c_128184,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125687,c_8246]) ).
tcf(c_128185,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_125687,c_8258]) ).
tcf(c_128186,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_125687,c_8245]) ).
tcf(c_128187,plain,
( v1_tsp_1(sK12(iPr_def_29),sK3)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK5(sK3,sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_125687,c_114471]) ).
tcf(c_128188,plain,
( v1_tsp_1(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK5(sK2,sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_125687,c_114472]) ).
tcf(c_128189,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_125687,c_115529]) ).
tcf(c_128190,plain,
( v1_xboole_0(sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,sK12(sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_125687,c_119169]) ).
tcf(c_128252,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| ( sK6(iPr_def_21,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK6(iPr_def_21,X0),sK2)
| ~ m1_subset_1(sK6(iPr_def_21,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124679,c_117091]) ).
tcf(c_128253,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK6(iPr_def_21,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124679,c_125045]) ).
tcf(c_128254,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| m1_subset_1(sK6(iPr_def_21,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124679,c_114654]) ).
tcf(c_128259,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| ( sK6(iPr_def_21,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK6(iPr_def_21,X0),sK2)
| ~ m1_subset_1(sK6(iPr_def_21,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128252,c_120337]) ).
tcf(c_128269,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| ( sK6(iPr_def_19,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK6(iPr_def_19,X0),sK2)
| ~ m1_subset_1(sK6(iPr_def_19,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124687,c_117091]) ).
tcf(c_128270,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK6(iPr_def_19,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124687,c_125044]) ).
tcf(c_128271,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| m1_subset_1(sK6(iPr_def_19,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124687,c_114653]) ).
tcf(c_128276,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| ( sK6(iPr_def_19,X0) = iPr_def_18 )
| ~ v1_tsp_2(sK6(iPr_def_19,X0),sK2)
| ~ m1_subset_1(sK6(iPr_def_19,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128269,c_116663,c_8268]) ).
tcf(c_128303,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(iPr_def_19))) = k1_tarski(sK5(sK3,sK12(iPr_def_19))) ) ),
inference(superposition,[status(thm)],[c_173,c_115769]) ).
tcf(c_128304,plain,
( v1_tsp_1(iPr_def_17,sK3)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_17)) = k1_tarski(sK5(sK3,iPr_def_17)) ) ),
inference(superposition,[status(thm)],[c_8241,c_115769]) ).
tcf(c_128305,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k1_struct_0(sK3,sK5(sK3,X0)) = k1_tarski(sK5(sK3,X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_119982,c_115769]) ).
tcf(c_128306,plain,
( v1_tsp_1(iPr_def_25,sK3)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) ) ),
inference(superposition,[status(thm)],[c_8261,c_115769]) ).
tcf(c_128307,plain,
( v1_tsp_1(iPr_def_26,sK3)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) ) ),
inference(superposition,[status(thm)],[c_8263,c_115769]) ).
tcf(c_128308,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k1_tarski(sK5(sK3,k2_tex_4(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_116248,c_115769]) ).
tcf(c_128310,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK16(iPr_def_18))) = k1_tarski(sK5(sK3,sK16(iPr_def_18))) ) ),
inference(superposition,[status(thm)],[c_114309,c_115769]) ).
tcf(c_128311,plain,
( v1_tsp_1(iPr_def_19,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_19),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK5(sK3,iPr_def_19))) = k1_tarski(sK5(sK3,sK5(sK3,iPr_def_19))) )
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_115769]) ).
tcf(c_128312,plain,
( v1_tsp_1(iPr_def_19,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_19),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK5(sK2,iPr_def_19))) = k1_tarski(sK5(sK3,sK5(sK2,iPr_def_19))) )
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_115769]) ).
tcf(c_128314,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| v1_tsp_1(sK6(iPr_def_19,X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK6(iPr_def_19,X0))) = k1_tarski(sK5(sK3,sK6(iPr_def_19,X0))) ) ),
inference(superposition,[status(thm)],[c_114499,c_115769]) ).
tcf(c_128315,plain,
( v1_tsp_1(iPr_def_18,sK3)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_18)) = k1_tarski(sK5(sK3,iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_119983,c_115769]) ).
tcf(c_128316,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,u1_struct_0(sK10(sK3)))) = k1_tarski(sK5(sK3,u1_struct_0(sK10(sK3)))) ) ),
inference(superposition,[status(thm)],[c_114773,c_115769]) ).
tcf(c_128317,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,u1_struct_0(sK14(sK3)))) = k1_tarski(sK5(sK3,u1_struct_0(sK14(sK3)))) ) ),
inference(superposition,[status(thm)],[c_115075,c_115769]) ).
tcf(c_128318,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_tarski(sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115531,c_115769]) ).
tcf(c_128319,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK17(sK3))) = k1_tarski(sK5(sK3,sK17(sK3))) ) ),
inference(superposition,[status(thm)],[c_115359,c_115769]) ).
tcf(c_128320,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK19(sK3))) = k1_tarski(sK5(sK3,sK19(sK3))) ) ),
inference(superposition,[status(thm)],[c_115385,c_115769]) ).
tcf(c_128321,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK25(sK3))) = k1_tarski(sK5(sK3,sK25(sK3))) ) ),
inference(superposition,[status(thm)],[c_115430,c_115769]) ).
tcf(c_128322,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK3,X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k4_tex_4(sK3,X0))) = k1_tarski(sK5(sK3,k4_tex_4(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115978,c_115769]) ).
tcf(c_128323,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK3,X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_struct_0(sK3,X0))) = k1_tarski(sK5(sK3,k1_struct_0(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115989,c_115769]) ).
tcf(c_128324,plain,
( v1_tsp_1(iPr_def_31,sK3)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_31)) = k1_tarski(sK5(sK3,iPr_def_31)) ) ),
inference(superposition,[status(thm)],[c_115998,c_115769]) ).
tcf(c_128325,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_tsp_1(sK7(sK3,X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK7(sK3,X0))) = k1_tarski(sK5(sK3,sK7(sK3,X0))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116985,c_115769]) ).
tcf(c_128326,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK3,iPr_def_30))) = k1_tarski(sK5(sK3,k2_tex_4(sK3,iPr_def_30))) ) ),
inference(superposition,[status(thm)],[c_126268,c_115769]) ).
tcf(c_128505,plain,
! [X0: $i] :
( r1_tarski(iPr_def_25,X0)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK6(iPr_def_25,X0))) = k1_struct_0(sK3,sK6(iPr_def_25,X0)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128306,c_114500]) ).
tcf(c_128506,plain,
( v1_tsp_1(iPr_def_25,sK2)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK5(sK2,iPr_def_25))) = k1_struct_0(sK3,sK5(sK2,iPr_def_25)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_21)
| ~ m1_subset_1(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128306,c_113926]) ).
tcf(c_128507,plain,
! [X0: $i] :
( r1_tarski(iPr_def_25,X0)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK6(iPr_def_25,X0))) = k1_struct_0(sK3,sK6(iPr_def_25,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128505,c_8261]) ).
tcf(c_128511,plain,
( v1_tsp_1(iPr_def_25,sK2)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK5(sK2,iPr_def_25))) = k1_struct_0(sK3,sK5(sK2,iPr_def_25)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128506,c_8261]) ).
tcf(c_128520,plain,
! [X0: $i] :
( r1_tarski(iPr_def_26,X0)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK6(iPr_def_26,X0))) = k1_struct_0(sK3,sK6(iPr_def_26,X0)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128307,c_114500]) ).
tcf(c_128521,plain,
( v1_tsp_1(iPr_def_26,sK2)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK5(sK2,iPr_def_26))) = k1_struct_0(sK3,sK5(sK2,iPr_def_26)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_21)
| ~ m1_subset_1(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128307,c_113926]) ).
tcf(c_128522,plain,
! [X0: $i] :
( r1_tarski(iPr_def_26,X0)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK6(iPr_def_26,X0))) = k1_struct_0(sK3,sK6(iPr_def_26,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128520,c_8263]) ).
tcf(c_128526,plain,
( v1_tsp_1(iPr_def_26,sK2)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK5(sK2,iPr_def_26))) = k1_struct_0(sK3,sK5(sK2,iPr_def_26)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128521,c_8263]) ).
tcf(c_128531,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_117384,c_24630]) ).
tcf(c_128556,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_125885,c_301]) ).
tcf(c_128557,plain,
! [X0: $i,X1: $i] :
( ( sK16(iPr_def_20) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_20))
| ~ v1_tsp_1(sK16(iPr_def_20),X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_125885,c_158]) ).
tcf(c_128558,plain,
! [X0: $i] :
( v1_tsp_2(sK16(iPr_def_20),X0)
| r1_tarski(sK16(iPr_def_20),sK7(X0,sK16(iPr_def_20)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_125885,c_155]) ).
tcf(c_128559,plain,
! [X0: $i] :
( v1_tsp_2(sK16(iPr_def_20),X0)
| v1_tsp_1(sK7(X0,sK16(iPr_def_20)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_125885,c_154]) ).
tcf(c_128560,plain,
! [X0: $i] :
( v1_tsp_1(sK16(iPr_def_20),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_125885,c_157]) ).
tcf(c_128561,plain,
( ( k1_struct_0(sK20,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_125885,c_6743]) ).
tcf(c_128564,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(superposition,[status(thm)],[c_125885,c_116313]) ).
tcf(c_128566,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125885,c_116408]) ).
tcf(c_128567,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125885,c_116002]) ).
tcf(c_128568,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125885,c_115708]) ).
tcf(c_128569,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125885,c_114071]) ).
tcf(c_128570,plain,
( v1_tsp_1(sK16(iPr_def_20),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK16(iPr_def_20))) = k1_tarski(sK5(sK3,sK16(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125885,c_115769]) ).
tcf(c_128571,plain,
( r1_tarski(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125885,c_114678]) ).
tcf(c_128572,plain,
( v1_tsp_1(sK16(iPr_def_20),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_20),sK3) ),
inference(superposition,[status(thm)],[c_125885,c_116308]) ).
tcf(c_128573,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_125885,c_116034]) ).
tcf(c_128574,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_125885,c_115761]) ).
tcf(c_128575,plain,
( r1_tarski(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_125885,c_114680]) ).
tcf(c_128644,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_125949,c_301]) ).
tcf(c_128645,plain,
! [X0: $i,X1: $i] :
( ( sK16(iPr_def_18) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_18))
| ~ v1_tsp_1(sK16(iPr_def_18),X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_125949,c_158]) ).
tcf(c_128646,plain,
! [X0: $i] :
( v1_tsp_2(sK16(iPr_def_18),X0)
| r1_tarski(sK16(iPr_def_18),sK7(X0,sK16(iPr_def_18)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_125949,c_155]) ).
tcf(c_128647,plain,
! [X0: $i] :
( v1_tsp_2(sK16(iPr_def_18),X0)
| v1_tsp_1(sK7(X0,sK16(iPr_def_18)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_125949,c_154]) ).
tcf(c_128648,plain,
! [X0: $i] :
( v1_tsp_1(sK16(iPr_def_18),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_125949,c_157]) ).
tcf(c_128649,plain,
( ( k1_struct_0(sK20,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_125949,c_6743]) ).
tcf(c_128650,plain,
( r1_tarski(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125949,c_114679]) ).
tcf(c_128651,plain,
( v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_18))) = k1_tarski(sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125949,c_115716]) ).
tcf(c_128652,plain,
( v1_tsp_1(sK16(iPr_def_18),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2) ),
inference(superposition,[status(thm)],[c_125949,c_116313]) ).
tcf(c_128653,plain,
( v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))),k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_18)))) = k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125949,c_114117]) ).
tcf(c_128654,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125949,c_116408]) ).
tcf(c_128655,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125949,c_116002]) ).
tcf(c_128656,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125949,c_115708]) ).
tcf(c_128657,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_125949,c_114071]) ).
tcf(c_128660,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(superposition,[status(thm)],[c_125949,c_116308]) ).
tcf(c_128661,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_125949,c_116034]) ).
tcf(c_128662,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_125949,c_115761]) ).
tcf(c_128663,plain,
( r1_tarski(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_125949,c_114680]) ).
tcf(c_129013,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_126687,c_301]) ).
tcf(c_129014,plain,
! [X0: $i,X1: $i] :
( ( sK17(sK2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK17(sK2))
| ~ v1_tsp_1(sK17(sK2),X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_126687,c_158]) ).
tcf(c_129015,plain,
! [X0: $i] :
( v1_tsp_2(sK17(sK2),X0)
| r1_tarski(sK17(sK2),sK7(X0,sK17(sK2)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126687,c_155]) ).
tcf(c_129016,plain,
! [X0: $i] :
( v1_tsp_2(sK17(sK2),X0)
| v1_tsp_1(sK7(X0,sK17(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126687,c_154]) ).
tcf(c_129017,plain,
! [X0: $i] :
( v1_tsp_1(sK17(sK2),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126687,c_157]) ).
tcf(c_129018,plain,
( ( k1_struct_0(sK20,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_126687,c_6743]) ).
tcf(c_129021,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(superposition,[status(thm)],[c_126687,c_116313]) ).
tcf(c_129023,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126687,c_116408]) ).
tcf(c_129024,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126687,c_116002]) ).
tcf(c_129025,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126687,c_115708]) ).
tcf(c_129026,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126687,c_114071]) ).
tcf(c_129027,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK17(sK2))) = k1_tarski(sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_115769]) ).
tcf(c_129028,plain,
( r1_tarski(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_114678]) ).
tcf(c_129029,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3) ),
inference(superposition,[status(thm)],[c_126687,c_116308]) ).
tcf(c_129030,plain,
( ( k4_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126687,c_116034]) ).
tcf(c_129031,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126687,c_115761]) ).
tcf(c_129032,plain,
( r1_tarski(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_126687,c_114680]) ).
tcf(c_129033,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_120817]) ).
tcf(c_129034,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_115946]) ).
tcf(c_129115,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| ( sK6(iPr_def_29,X0) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK6(iPr_def_29,X0),sK2)
| ~ m1_subset_1(sK6(iPr_def_29,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124691,c_117091]) ).
tcf(c_129116,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK6(iPr_def_29,X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_124691,c_125046]) ).
tcf(c_129117,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| m1_subset_1(sK6(iPr_def_29,X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_124691,c_114655]) ).
tcf(c_129193,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_126764,c_301]) ).
tcf(c_129194,plain,
! [X0: $i,X1: $i] :
( ( sK19(sK2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK19(sK2))
| ~ v1_tsp_1(sK19(sK2),X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_126764,c_158]) ).
tcf(c_129195,plain,
! [X0: $i] :
( v1_tsp_2(sK19(sK2),X0)
| r1_tarski(sK19(sK2),sK7(X0,sK19(sK2)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126764,c_155]) ).
tcf(c_129196,plain,
! [X0: $i] :
( v1_tsp_2(sK19(sK2),X0)
| v1_tsp_1(sK7(X0,sK19(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126764,c_154]) ).
tcf(c_129197,plain,
! [X0: $i] :
( v1_tsp_1(sK19(sK2),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126764,c_157]) ).
tcf(c_129198,plain,
( ( k1_struct_0(sK20,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_126764,c_6743]) ).
tcf(c_129201,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(superposition,[status(thm)],[c_126764,c_116313]) ).
tcf(c_129203,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126764,c_116408]) ).
tcf(c_129204,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126764,c_116002]) ).
tcf(c_129205,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126764,c_115708]) ).
tcf(c_129206,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126764,c_114071]) ).
tcf(c_129207,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK19(sK2))) = k1_tarski(sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_115769]) ).
tcf(c_129208,plain,
( r1_tarski(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_114678]) ).
tcf(c_129209,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3) ),
inference(superposition,[status(thm)],[c_126764,c_116308]) ).
tcf(c_129210,plain,
( ( k4_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126764,c_116034]) ).
tcf(c_129211,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126764,c_115761]) ).
tcf(c_129212,plain,
( r1_tarski(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_126764,c_114680]) ).
tcf(c_129213,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_120857]) ).
tcf(c_129214,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_116135]) ).
tcf(c_129324,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_126827,c_301]) ).
tcf(c_129325,plain,
! [X0: $i,X1: $i] :
( ( sK25(sK2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK25(sK2))
| ~ v1_tsp_1(sK25(sK2),X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_126827,c_158]) ).
tcf(c_129326,plain,
! [X0: $i] :
( v1_tsp_2(sK25(sK2),X0)
| r1_tarski(sK25(sK2),sK7(X0,sK25(sK2)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126827,c_155]) ).
tcf(c_129327,plain,
! [X0: $i] :
( v1_tsp_2(sK25(sK2),X0)
| v1_tsp_1(sK7(X0,sK25(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126827,c_154]) ).
tcf(c_129328,plain,
! [X0: $i] :
( v1_tsp_1(sK25(sK2),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126827,c_157]) ).
tcf(c_129329,plain,
( ( k1_struct_0(sK20,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_126827,c_6743]) ).
tcf(c_129332,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(superposition,[status(thm)],[c_126827,c_116313]) ).
tcf(c_129334,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126827,c_116408]) ).
tcf(c_129335,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126827,c_116002]) ).
tcf(c_129336,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126827,c_115708]) ).
tcf(c_129337,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126827,c_114071]) ).
tcf(c_129338,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK25(sK2))) = k1_tarski(sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_115769]) ).
tcf(c_129339,plain,
( r1_tarski(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_114678]) ).
tcf(c_129340,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3) ),
inference(superposition,[status(thm)],[c_126827,c_116308]) ).
tcf(c_129341,plain,
( ( k4_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126827,c_116034]) ).
tcf(c_129342,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126827,c_115761]) ).
tcf(c_129343,plain,
( r1_tarski(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_126827,c_114680]) ).
tcf(c_129344,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_120883]) ).
tcf(c_129345,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_116154]) ).
tcf(c_129409,plain,
! [X0: $i] :
( r1_tarski(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_126915,c_301]) ).
tcf(c_129410,plain,
! [X0: $i,X1: $i] :
( ( sK17(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK17(sK3))
| ~ v1_tsp_1(sK17(sK3),X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_126915,c_158]) ).
tcf(c_129411,plain,
! [X0: $i] :
( v1_tsp_2(sK17(sK3),X0)
| r1_tarski(sK17(sK3),sK7(X0,sK17(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126915,c_155]) ).
tcf(c_129412,plain,
! [X0: $i] :
( v1_tsp_2(sK17(sK3),X0)
| v1_tsp_1(sK7(X0,sK17(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126915,c_154]) ).
tcf(c_129413,plain,
! [X0: $i] :
( v1_tsp_1(sK17(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126915,c_157]) ).
tcf(c_129414,plain,
( ( k1_struct_0(sK20,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_126915,c_6743]) ).
tcf(c_129415,plain,
( r1_tarski(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126915,c_114679]) ).
tcf(c_129416,plain,
( v1_tsp_1(sK17(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK3))) = k1_tarski(sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126915,c_115716]) ).
tcf(c_129417,plain,
( v1_tsp_1(sK17(sK3),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK2) ),
inference(superposition,[status(thm)],[c_126915,c_116313]) ).
tcf(c_129418,plain,
( v1_tsp_1(sK17(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK3))),k4_tex_4(sK2,sK5(sK2,sK17(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126915,c_114117]) ).
tcf(c_129419,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126915,c_116408]) ).
tcf(c_129420,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126915,c_116002]) ).
tcf(c_129421,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126915,c_115708]) ).
tcf(c_129422,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126915,c_114071]) ).
tcf(c_129425,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(superposition,[status(thm)],[c_126915,c_116308]) ).
tcf(c_129426,plain,
( ( k4_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126915,c_116034]) ).
tcf(c_129427,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126915,c_115761]) ).
tcf(c_129428,plain,
( r1_tarski(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_126915,c_114680]) ).
tcf(c_129609,plain,
! [X0: $i] :
( r1_tarski(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_127042,c_301]) ).
tcf(c_129610,plain,
! [X0: $i,X1: $i] :
( ( sK19(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK19(sK3))
| ~ v1_tsp_1(sK19(sK3),X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_127042,c_158]) ).
tcf(c_129611,plain,
! [X0: $i] :
( v1_tsp_2(sK19(sK3),X0)
| r1_tarski(sK19(sK3),sK7(X0,sK19(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127042,c_155]) ).
tcf(c_129612,plain,
! [X0: $i] :
( v1_tsp_2(sK19(sK3),X0)
| v1_tsp_1(sK7(X0,sK19(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127042,c_154]) ).
tcf(c_129613,plain,
! [X0: $i] :
( v1_tsp_1(sK19(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127042,c_157]) ).
tcf(c_129614,plain,
( ( k1_struct_0(sK20,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_127042,c_6743]) ).
tcf(c_129615,plain,
( r1_tarski(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127042,c_114679]) ).
tcf(c_129616,plain,
( v1_tsp_1(sK19(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK3))) = k1_tarski(sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127042,c_115716]) ).
tcf(c_129617,plain,
( v1_tsp_1(sK19(sK3),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK2) ),
inference(superposition,[status(thm)],[c_127042,c_116313]) ).
tcf(c_129618,plain,
( v1_tsp_1(sK19(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK3))),k4_tex_4(sK2,sK5(sK2,sK19(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127042,c_114117]) ).
tcf(c_129619,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127042,c_116408]) ).
tcf(c_129620,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127042,c_116002]) ).
tcf(c_129621,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127042,c_115708]) ).
tcf(c_129622,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127042,c_114071]) ).
tcf(c_129625,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(superposition,[status(thm)],[c_127042,c_116308]) ).
tcf(c_129626,plain,
( ( k4_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127042,c_116034]) ).
tcf(c_129627,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127042,c_115761]) ).
tcf(c_129628,plain,
( r1_tarski(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_127042,c_114680]) ).
tcf(c_129745,plain,
! [X0: $i] :
( r1_tarski(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_127269,c_301]) ).
tcf(c_129746,plain,
! [X0: $i,X1: $i] :
( ( sK25(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK25(sK3))
| ~ v1_tsp_1(sK25(sK3),X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_127269,c_158]) ).
tcf(c_129747,plain,
! [X0: $i] :
( v1_tsp_2(sK25(sK3),X0)
| r1_tarski(sK25(sK3),sK7(X0,sK25(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127269,c_155]) ).
tcf(c_129748,plain,
! [X0: $i] :
( v1_tsp_2(sK25(sK3),X0)
| v1_tsp_1(sK7(X0,sK25(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127269,c_154]) ).
tcf(c_129749,plain,
! [X0: $i] :
( v1_tsp_1(sK25(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127269,c_157]) ).
tcf(c_129750,plain,
( ( k1_struct_0(sK20,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_127269,c_6743]) ).
tcf(c_129751,plain,
( r1_tarski(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127269,c_114679]) ).
tcf(c_129752,plain,
( v1_tsp_1(sK25(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK3))) = k1_tarski(sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127269,c_115716]) ).
tcf(c_129753,plain,
( v1_tsp_1(sK25(sK3),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK2) ),
inference(superposition,[status(thm)],[c_127269,c_116313]) ).
tcf(c_129754,plain,
( v1_tsp_1(sK25(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK3))),k4_tex_4(sK2,sK5(sK2,sK25(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127269,c_114117]) ).
tcf(c_129755,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127269,c_116408]) ).
tcf(c_129756,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127269,c_116002]) ).
tcf(c_129757,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127269,c_115708]) ).
tcf(c_129758,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127269,c_114071]) ).
tcf(c_129761,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(superposition,[status(thm)],[c_127269,c_116308]) ).
tcf(c_129762,plain,
( ( k4_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127269,c_116034]) ).
tcf(c_129763,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127269,c_115761]) ).
tcf(c_129764,plain,
( r1_tarski(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_127269,c_114680]) ).
tcf(c_129910,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_127377,c_301]) ).
tcf(c_129911,plain,
! [X0: $i,X1: $i] :
( ( sK16(iPr_def_28) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_28))
| ~ v1_tsp_1(sK16(iPr_def_28),X1)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_127377,c_158]) ).
tcf(c_129912,plain,
! [X0: $i] :
( v1_tsp_2(sK16(iPr_def_28),X0)
| r1_tarski(sK16(iPr_def_28),sK7(X0,sK16(iPr_def_28)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127377,c_155]) ).
tcf(c_129913,plain,
! [X0: $i] :
( v1_tsp_2(sK16(iPr_def_28),X0)
| v1_tsp_1(sK7(X0,sK16(iPr_def_28)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127377,c_154]) ).
tcf(c_129914,plain,
! [X0: $i] :
( v1_tsp_1(sK16(iPr_def_28),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127377,c_157]) ).
tcf(c_129915,plain,
( ( k1_struct_0(sK20,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_127377,c_6743]) ).
tcf(c_129916,plain,
( r1_tarski(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127377,c_114679]) ).
tcf(c_129917,plain,
( v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_28))) = k1_tarski(sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127377,c_115716]) ).
tcf(c_129918,plain,
( v1_tsp_1(sK16(iPr_def_28),sK2)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2) ),
inference(superposition,[status(thm)],[c_127377,c_116313]) ).
tcf(c_129919,plain,
( v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))),k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_28)))) = k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127377,c_114117]) ).
tcf(c_129920,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127377,c_116408]) ).
tcf(c_129921,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127377,c_116002]) ).
tcf(c_129922,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127377,c_115708]) ).
tcf(c_129923,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127377,c_114071]) ).
tcf(c_129924,plain,
( v1_tsp_1(sK16(iPr_def_28),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK16(iPr_def_28))) = k1_tarski(sK5(sK3,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127377,c_115769]) ).
tcf(c_129925,plain,
( r1_tarski(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127377,c_114678]) ).
tcf(c_129926,plain,
( v1_tsp_1(sK16(iPr_def_28),sK3)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_28),sK3) ),
inference(superposition,[status(thm)],[c_127377,c_116308]) ).
tcf(c_129927,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127377,c_116034]) ).
tcf(c_129928,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127377,c_115761]) ).
tcf(c_130049,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_127837,c_301]) ).
tcf(c_130050,plain,
! [X0: $i,X1: $i] :
( ( k1_tarski(iPr_def_27) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,k1_tarski(iPr_def_27))
| ~ v1_tsp_1(k1_tarski(iPr_def_27),X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_127837,c_158]) ).
tcf(c_130051,plain,
! [X0: $i] :
( v1_tsp_2(k1_tarski(iPr_def_27),X0)
| r1_tarski(k1_tarski(iPr_def_27),sK7(X0,k1_tarski(iPr_def_27)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127837,c_155]) ).
tcf(c_130052,plain,
! [X0: $i] :
( v1_tsp_2(k1_tarski(iPr_def_27),X0)
| v1_tsp_1(sK7(X0,k1_tarski(iPr_def_27)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127837,c_154]) ).
tcf(c_130053,plain,
! [X0: $i] :
( v1_tsp_1(k1_tarski(iPr_def_27),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127837,c_157]) ).
tcf(c_130054,plain,
( ( k1_struct_0(sK20,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_127837,c_6743]) ).
tcf(c_130057,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(superposition,[status(thm)],[c_127837,c_116313]) ).
tcf(c_130059,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127837,c_116408]) ).
tcf(c_130060,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127837,c_116002]) ).
tcf(c_130061,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127837,c_115708]) ).
tcf(c_130062,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127837,c_114071]) ).
tcf(c_130063,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(iPr_def_27))) = k1_tarski(sK5(sK3,k1_tarski(iPr_def_27))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127837,c_115769]) ).
tcf(c_130064,plain,
( r1_tarski(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127837,c_114678]) ).
tcf(c_130065,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK3) ),
inference(superposition,[status(thm)],[c_127837,c_116308]) ).
tcf(c_130066,plain,
( ( k4_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127837,c_116034]) ).
tcf(c_130067,plain,
( ( k1_struct_0(sK3,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127837,c_115761]) ).
tcf(c_130068,plain,
( r1_tarski(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_127837,c_114680]) ).
tcf(c_130226,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_127907,c_301]) ).
tcf(c_130227,plain,
! [X0: $i,X1: $i] :
( ( sK12(iPr_def_19) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_19))
| ~ v1_tsp_1(sK12(iPr_def_19),X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_127907,c_158]) ).
tcf(c_130228,plain,
! [X0: $i] :
( v1_tsp_2(sK12(iPr_def_19),X0)
| r1_tarski(sK12(iPr_def_19),sK7(X0,sK12(iPr_def_19)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127907,c_155]) ).
tcf(c_130229,plain,
! [X0: $i] :
( v1_tsp_2(sK12(iPr_def_19),X0)
| v1_tsp_1(sK7(X0,sK12(iPr_def_19)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127907,c_154]) ).
tcf(c_130230,plain,
! [X0: $i] :
( v1_tsp_1(sK12(iPr_def_19),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_127907,c_157]) ).
tcf(c_130231,plain,
( ( k1_struct_0(sK20,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_127907,c_6743]) ).
tcf(c_130232,plain,
( r1_tarski(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127907,c_114679]) ).
tcf(c_130233,plain,
( v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_19))) = k1_tarski(sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127907,c_115716]) ).
tcf(c_130234,plain,
( v1_tsp_1(sK12(iPr_def_19),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2) ),
inference(superposition,[status(thm)],[c_127907,c_116313]) ).
tcf(c_130235,plain,
( v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))),k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_19)))) = k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127907,c_114117]) ).
tcf(c_130236,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127907,c_116408]) ).
tcf(c_130237,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127907,c_116002]) ).
tcf(c_130238,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127907,c_115708]) ).
tcf(c_130239,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127907,c_114071]) ).
tcf(c_130242,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(superposition,[status(thm)],[c_127907,c_116308]) ).
tcf(c_130243,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127907,c_116034]) ).
tcf(c_130244,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_127907,c_115761]) ).
tcf(c_130245,plain,
( r1_tarski(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_127907,c_114680]) ).
tcf(c_130304,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_128066,c_301]) ).
tcf(c_130305,plain,
! [X0: $i,X1: $i] :
( ( sK12(iPr_def_21) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_21))
| ~ v1_tsp_1(sK12(iPr_def_21),X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_128066,c_158]) ).
tcf(c_130306,plain,
! [X0: $i] :
( v1_tsp_2(sK12(iPr_def_21),X0)
| r1_tarski(sK12(iPr_def_21),sK7(X0,sK12(iPr_def_21)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_128066,c_155]) ).
tcf(c_130307,plain,
! [X0: $i] :
( v1_tsp_2(sK12(iPr_def_21),X0)
| v1_tsp_1(sK7(X0,sK12(iPr_def_21)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_128066,c_154]) ).
tcf(c_130308,plain,
! [X0: $i] :
( v1_tsp_1(sK12(iPr_def_21),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_128066,c_157]) ).
tcf(c_130309,plain,
( ( k1_struct_0(sK20,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_128066,c_6743]) ).
tcf(c_130312,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(superposition,[status(thm)],[c_128066,c_116313]) ).
tcf(c_130314,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128066,c_116408]) ).
tcf(c_130315,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128066,c_116002]) ).
tcf(c_130316,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128066,c_115708]) ).
tcf(c_130317,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128066,c_114071]) ).
tcf(c_130318,plain,
( v1_tsp_1(sK12(iPr_def_21),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(iPr_def_21))) = k1_tarski(sK5(sK3,sK12(iPr_def_21))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128066,c_115769]) ).
tcf(c_130319,plain,
( r1_tarski(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128066,c_114678]) ).
tcf(c_130320,plain,
( v1_tsp_1(sK12(iPr_def_21),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_21),sK3) ),
inference(superposition,[status(thm)],[c_128066,c_116308]) ).
tcf(c_130321,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_128066,c_116034]) ).
tcf(c_130322,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_128066,c_115761]) ).
tcf(c_130323,plain,
( r1_tarski(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128066,c_114680]) ).
tcf(c_130433,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_128182,c_301]) ).
tcf(c_130434,plain,
! [X0: $i,X1: $i] :
( ( sK12(iPr_def_29) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_29))
| ~ v1_tsp_1(sK12(iPr_def_29),X1)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_128182,c_158]) ).
tcf(c_130435,plain,
! [X0: $i] :
( v1_tsp_2(sK12(iPr_def_29),X0)
| r1_tarski(sK12(iPr_def_29),sK7(X0,sK12(iPr_def_29)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_128182,c_155]) ).
tcf(c_130436,plain,
! [X0: $i] :
( v1_tsp_2(sK12(iPr_def_29),X0)
| v1_tsp_1(sK7(X0,sK12(iPr_def_29)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_128182,c_154]) ).
tcf(c_130437,plain,
! [X0: $i] :
( v1_tsp_1(sK12(iPr_def_29),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_128182,c_157]) ).
tcf(c_130438,plain,
( ( k1_struct_0(sK20,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_128182,c_6743]) ).
tcf(c_130439,plain,
( r1_tarski(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128182,c_114679]) ).
tcf(c_130440,plain,
( v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_29))) = k1_tarski(sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128182,c_115716]) ).
tcf(c_130441,plain,
( v1_tsp_1(sK12(iPr_def_29),sK2)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2) ),
inference(superposition,[status(thm)],[c_128182,c_116313]) ).
tcf(c_130442,plain,
( v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))),k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_29)))) = k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128182,c_114117]) ).
tcf(c_130443,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128182,c_116408]) ).
tcf(c_130444,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128182,c_116002]) ).
tcf(c_130445,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128182,c_115708]) ).
tcf(c_130446,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_128182,c_114071]) ).
tcf(c_130447,plain,
( v1_tsp_1(sK12(iPr_def_29),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(iPr_def_29))) = k1_tarski(sK5(sK3,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128182,c_115769]) ).
tcf(c_130448,plain,
( r1_tarski(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128182,c_114678]) ).
tcf(c_130449,plain,
( v1_tsp_1(sK12(iPr_def_29),sK3)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_29),sK3) ),
inference(superposition,[status(thm)],[c_128182,c_116308]) ).
tcf(c_130450,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_128182,c_116034]) ).
tcf(c_130451,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_128182,c_115761]) ).
tcf(c_130709,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| r1_tarski(sK5(sK3,X0),X1)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK6(sK5(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_115274,c_114497]) ).
tcf(c_130710,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| r1_tarski(sK5(sK2,X0),X1)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK6(sK5(sK2,X0),X1)) ),
inference(superposition,[status(thm)],[c_115275,c_114497]) ).
tcf(c_130712,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK16(iPr_def_20),X0)) ),
inference(superposition,[status(thm)],[c_115799,c_114497]) ).
tcf(c_130713,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK16(iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_115952,c_114497]) ).
tcf(c_130715,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK17(sK2),X0)) ),
inference(superposition,[status(thm)],[c_117727,c_114497]) ).
tcf(c_130716,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK19(sK2),X0)) ),
inference(superposition,[status(thm)],[c_117747,c_114497]) ).
tcf(c_130717,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK25(sK2),X0)) ),
inference(superposition,[status(thm)],[c_117775,c_114497]) ).
tcf(c_130718,plain,
! [X0: $i] :
( r1_tarski(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK17(sK3),X0)) ),
inference(superposition,[status(thm)],[c_117792,c_114497]) ).
tcf(c_130719,plain,
! [X0: $i] :
( r1_tarski(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK19(sK3),X0)) ),
inference(superposition,[status(thm)],[c_118028,c_114497]) ).
tcf(c_130720,plain,
! [X0: $i] :
( r1_tarski(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK25(sK3),X0)) ),
inference(superposition,[status(thm)],[c_118042,c_114497]) ).
tcf(c_130721,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,sK6(sK16(iPr_def_28),X0)) ),
inference(superposition,[status(thm)],[c_118672,c_114497]) ).
tcf(c_130722,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,sK6(k1_tarski(iPr_def_27),X0)) ),
inference(superposition,[status(thm)],[c_123915,c_114497]) ).
tcf(c_130723,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK12(iPr_def_19),X0)) ),
inference(superposition,[status(thm)],[c_125628,c_114497]) ).
tcf(c_130724,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK12(iPr_def_21),X0)) ),
inference(superposition,[status(thm)],[c_125662,c_114497]) ).
tcf(c_130725,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,sK6(sK12(iPr_def_29),X0)) ),
inference(superposition,[status(thm)],[c_125687,c_114497]) ).
tcf(c_130869,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(X0)) = u1_struct_0(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(X0)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114769,c_117091]) ).
tcf(c_130880,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_119514,c_114892]) ).
tcf(c_130881,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_124648,c_114892]) ).
tcf(c_130882,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ l1_pre_topc(sK8) ),
inference(superposition,[status(thm)],[c_124647,c_114892]) ).
tcf(c_130883,plain,
( r2_hidden(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_114892]) ).
tcf(c_130884,plain,
( r2_hidden(sK22(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_114892]) ).
tcf(c_130885,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK22(X0),X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114892,c_152]) ).
tcf(c_130886,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK22(X0)) ),
inference(superposition,[status(thm)],[c_114892,c_61]) ).
tcf(c_130887,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_114892,c_305]) ).
tcf(c_130889,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,sK22(X0))) = k1_struct_0(sK3,sK22(X0)) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114892,c_8259]) ).
tcf(c_130890,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,sK22(X0))) = k1_struct_0(sK2,sK22(X0)) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114892,c_8246]) ).
tcf(c_130891,plain,
( r2_hidden(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_130884,c_8225,c_124648]) ).
tcf(c_130892,plain,
( r2_hidden(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_130883,c_8227,c_119514]) ).
tcf(c_130912,plain,
( ( sK16(iPr_def_20) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_128571,c_117091]) ).
tcf(c_130913,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128571,c_125044]) ).
tcf(c_130914,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128571,c_114653]) ).
tcf(c_130919,plain,
( ( sK16(iPr_def_20) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130912,c_116663,c_8268,c_114308]) ).
tcf(c_130999,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(X0)) = u1_struct_0(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(X0)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115071,c_117091]) ).
tcf(c_131006,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115715,c_121683]) ).
tcf(c_131007,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115715,c_114878]) ).
tcf(c_131008,plain,
( v1_tsp_1(k1_struct_0(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_115715,c_116651]) ).
tcf(c_131009,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115715,c_114637]) ).
tcf(c_131010,plain,
m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_131009,c_173]) ).
tcf(c_131011,plain,
r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_131007,c_173]) ).
tcf(c_131012,plain,
~ r2_hidden(iPr_def_21,k1_tarski(sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_131006,c_173]) ).
tcf(c_131013,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2) ),
inference(light_normalisation,[status(thm)],[c_131008,c_115715]) ).
tcf(c_131014,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131013,c_173]) ).
tcf(c_131018,plain,
r1_tarski(k1_tarski(sK12(iPr_def_20)),iPr_def_20),
inference(superposition,[status(thm)],[c_131010,c_114679]) ).
tcf(c_131019,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) = k1_tarski(sK5(sK2,k1_tarski(sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_131010,c_115716]) ).
tcf(c_131021,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))),k4_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20))))) = k1_struct_0(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_131010,c_114117]) ).
tcf(c_131039,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_115768,c_115999]) ).
tcf(c_131040,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_115768,c_115989]) ).
tcf(c_131041,plain,
m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_131040,c_173]) ).
tcf(c_131042,plain,
r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_131039,c_173]) ).
tcf(c_131043,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_131011,c_152]) ).
tcf(c_131047,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k1_tarski(sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_tarski(sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131011,c_8259]) ).
tcf(c_131048,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k1_tarski(sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_tarski(sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131011,c_8246]) ).
tcf(c_131116,plain,
( ( k1_tarski(sK12(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_131018,c_117091]) ).
tcf(c_131119,plain,
( ( k1_tarski(sK12(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131116,c_120337,c_131010]) ).
tcf(c_131124,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(sK12(iPr_def_18)))) = k1_tarski(sK5(sK3,k1_tarski(sK12(iPr_def_18)))) ) ),
inference(superposition,[status(thm)],[c_131041,c_115769]) ).
tcf(c_131125,plain,
r1_tarski(k1_tarski(sK12(iPr_def_18)),iPr_def_18),
inference(superposition,[status(thm)],[c_131041,c_114678]) ).
tcf(c_131126,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK3)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK3) ),
inference(superposition,[status(thm)],[c_131041,c_116308]) ).
tcf(c_131131,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_131042,c_152]) ).
tcf(c_131132,plain,
~ r2_hidden(iPr_def_19,k1_tarski(sK12(iPr_def_18))),
inference(superposition,[status(thm)],[c_131042,c_61]) ).
tcf(c_131135,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k1_tarski(sK12(iPr_def_18)))) = k1_struct_0(sK3,k1_tarski(sK12(iPr_def_18))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131042,c_8259]) ).
tcf(c_131136,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k1_tarski(sK12(iPr_def_18)))) = k1_struct_0(sK2,k1_tarski(sK12(iPr_def_18))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131042,c_8246]) ).
tcf(c_131209,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_116220,c_152]) ).
tcf(c_131210,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_61]) ).
tcf(c_131212,plain,
! [X0: $i] :
( m1_subset_1(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_116220,c_292]) ).
tcf(c_131213,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK13(iPr_def_20,iPr_def_18))) = k1_struct_0(sK3,sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116220,c_8259]) ).
tcf(c_131214,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK13(iPr_def_20,iPr_def_18))) = k1_struct_0(sK2,sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116220,c_8246]) ).
tcf(c_131215,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK13(iPr_def_20,iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116220,c_8258]) ).
tcf(c_131216,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK13(iPr_def_20,iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116220,c_8245]) ).
tcf(c_131217,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK5(sK3,sK13(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116220,c_114471]) ).
tcf(c_131218,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116220,c_114472]) ).
tcf(c_131219,plain,
! [X0: $i] :
( r1_tarski(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,sK6(sK13(iPr_def_20,iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_116220,c_114497]) ).
tcf(c_131220,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_115529]) ).
tcf(c_131221,plain,
( v1_xboole_0(sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,sK12(sK13(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116220,c_119169]) ).
tcf(c_131276,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_116789,c_152]) ).
tcf(c_131277,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_61]) ).
tcf(c_131279,plain,
! [X0: $i] :
( m1_subset_1(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_116789,c_292]) ).
tcf(c_131280,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK11(iPr_def_20,iPr_def_18))) = k1_struct_0(sK3,sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116789,c_8259]) ).
tcf(c_131281,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK11(iPr_def_20,iPr_def_18))) = k1_struct_0(sK2,sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116789,c_8246]) ).
tcf(c_131282,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK11(iPr_def_20,iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116789,c_8258]) ).
tcf(c_131283,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK11(iPr_def_20,iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116789,c_8245]) ).
tcf(c_131284,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK5(sK3,sK11(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116789,c_114471]) ).
tcf(c_131285,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116789,c_114472]) ).
tcf(c_131286,plain,
! [X0: $i] :
( r1_tarski(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,sK6(sK11(iPr_def_20,iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_116789,c_114497]) ).
tcf(c_131287,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_115529]) ).
tcf(c_131288,plain,
( v1_xboole_0(sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,sK12(sK11(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116789,c_119169]) ).
tcf(c_131379,plain,
! [X0: $i,X1: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118070,c_152]) ).
tcf(c_131380,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_61]) ).
tcf(c_131382,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_118070,c_292]) ).
tcf(c_131383,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,u1_struct_0(sK10(sK2)))) = k1_struct_0(sK3,u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118070,c_8259]) ).
tcf(c_131384,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,u1_struct_0(sK10(sK2)))) = k1_struct_0(sK2,u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118070,c_8246]) ).
tcf(c_131385,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,u1_struct_0(sK10(sK2))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118070,c_8258]) ).
tcf(c_131386,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,u1_struct_0(sK10(sK2))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118070,c_8245]) ).
tcf(c_131387,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_118070,c_114471]) ).
tcf(c_131388,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_118070,c_114472]) ).
tcf(c_131389,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,sK6(u1_struct_0(sK10(sK2)),X0)) ),
inference(superposition,[status(thm)],[c_118070,c_114497]) ).
tcf(c_131390,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_115529]) ).
tcf(c_131391,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,sK12(u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_118070,c_119169]) ).
tcf(c_131403,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,u1_struct_0(sK10(sK2)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131388,c_114775]) ).
tcf(c_131475,plain,
( ( k1_tarski(sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_131125,c_117091]) ).
tcf(c_131478,plain,
( ( k1_tarski(sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131475,c_116663,c_8268]) ).
tcf(c_131493,plain,
( ( sK16(iPr_def_20) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_128575,c_117091]) ).
tcf(c_131494,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128575,c_125046]) ).
tcf(c_131495,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128575,c_114655]) ).
tcf(c_131500,plain,
( ( sK16(iPr_def_20) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131493,c_114308]) ).
tcf(c_131521,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_128650,c_117091]) ).
tcf(c_131522,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128650,c_125045]) ).
tcf(c_131523,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128650,c_114654]) ).
tcf(c_131528,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131521,c_120337]) ).
tcf(c_131538,plain,
( ( sK16(iPr_def_18) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_128663,c_117091]) ).
tcf(c_131539,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128663,c_125046]) ).
tcf(c_131540,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128663,c_114655]) ).
tcf(c_131636,plain,
! [X0: $i,X1: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118120,c_152]) ).
tcf(c_131637,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_61]) ).
tcf(c_131639,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_118120,c_292]) ).
tcf(c_131640,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,u1_struct_0(sK14(sK2)))) = k1_struct_0(sK3,u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118120,c_8259]) ).
tcf(c_131641,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,u1_struct_0(sK14(sK2)))) = k1_struct_0(sK2,u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118120,c_8246]) ).
tcf(c_131642,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,u1_struct_0(sK14(sK2))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118120,c_8258]) ).
tcf(c_131643,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,u1_struct_0(sK14(sK2))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118120,c_8245]) ).
tcf(c_131644,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_118120,c_114471]) ).
tcf(c_131645,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_118120,c_114472]) ).
tcf(c_131646,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,sK6(u1_struct_0(sK14(sK2)),X0)) ),
inference(superposition,[status(thm)],[c_118120,c_114497]) ).
tcf(c_131647,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_115529]) ).
tcf(c_131648,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,sK12(u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_118120,c_119169]) ).
tcf(c_131660,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,u1_struct_0(sK14(sK2)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131645,c_115077]) ).
tcf(c_131705,plain,
! [X0: $i,X1: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118488,c_152]) ).
tcf(c_131706,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_61]) ).
tcf(c_131708,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_118488,c_292]) ).
tcf(c_131709,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,u1_struct_0(sK10(sK3)))) = k1_struct_0(sK3,u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118488,c_8259]) ).
tcf(c_131710,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,u1_struct_0(sK10(sK3)))) = k1_struct_0(sK2,u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118488,c_8246]) ).
tcf(c_131711,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,u1_struct_0(sK10(sK3))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118488,c_8258]) ).
tcf(c_131712,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,u1_struct_0(sK10(sK3))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118488,c_8245]) ).
tcf(c_131713,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,u1_struct_0(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_118488,c_114471]) ).
tcf(c_131714,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,u1_struct_0(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_118488,c_114472]) ).
tcf(c_131715,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,sK6(u1_struct_0(sK10(sK3)),X0)) ),
inference(superposition,[status(thm)],[c_118488,c_114497]) ).
tcf(c_131716,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_115529]) ).
tcf(c_131717,plain,
( v1_xboole_0(u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,sK12(u1_struct_0(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_118488,c_119169]) ).
tcf(c_131732,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,u1_struct_0(sK10(sK3)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131713,c_114773]) ).
tcf(c_131770,plain,
! [X0: $i,X1: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118635,c_152]) ).
tcf(c_131771,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_61]) ).
tcf(c_131773,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_118635,c_292]) ).
tcf(c_131774,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,u1_struct_0(sK14(sK3)))) = k1_struct_0(sK3,u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_118635,c_8259]) ).
tcf(c_131775,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,u1_struct_0(sK14(sK3)))) = k1_struct_0(sK2,u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118635,c_8246]) ).
tcf(c_131776,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,u1_struct_0(sK14(sK3))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_118635,c_8258]) ).
tcf(c_131777,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,u1_struct_0(sK14(sK3))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118635,c_8245]) ).
tcf(c_131778,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,u1_struct_0(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_118635,c_114471]) ).
tcf(c_131779,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,u1_struct_0(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_118635,c_114472]) ).
tcf(c_131780,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,sK6(u1_struct_0(sK14(sK3)),X0)) ),
inference(superposition,[status(thm)],[c_118635,c_114497]) ).
tcf(c_131781,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_115529]) ).
tcf(c_131782,plain,
( v1_xboole_0(u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,sK12(u1_struct_0(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_118635,c_119169]) ).
tcf(c_131797,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,u1_struct_0(sK14(sK3)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131778,c_115075]) ).
tcf(c_131897,plain,
( ( sK17(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129028,c_117091]) ).
tcf(c_131898,plain,
( r2_hidden(sK17(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129028,c_125044]) ).
tcf(c_131899,plain,
( m1_subset_1(sK17(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129028,c_114653]) ).
tcf(c_131904,plain,
( ( sK17(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131897,c_116663,c_8268,c_115361]) ).
tcf(c_131950,plain,
( ( sK17(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129032,c_117091]) ).
tcf(c_131951,plain,
( r2_hidden(sK17(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129032,c_125046]) ).
tcf(c_131952,plain,
( m1_subset_1(sK17(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129032,c_114655]) ).
tcf(c_131957,plain,
( ( sK17(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131950,c_115361]) ).
tcf(c_132047,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_21))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_21))) ) ),
inference(superposition,[status(thm)],[c_173,c_116010]) ).
tcf(c_132048,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k4_tex_4(sK2,sK5(sK2,X0)) = k2_tex_4(sK2,sK5(sK2,X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120336,c_116010]) ).
tcf(c_132049,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_8249,c_116010]) ).
tcf(c_132050,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_8251,c_116010]) ).
tcf(c_132051,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_8253,c_116010]) ).
tcf(c_132053,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116252,c_116010]) ).
tcf(c_132054,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k4_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k4_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114453,c_116010]) ).
tcf(c_132055,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) ) ),
inference(superposition,[status(thm)],[c_114462,c_116010]) ).
tcf(c_132056,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_20))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_114308,c_116010]) ).
tcf(c_132057,plain,
( v1_tsp_1(iPr_def_21,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_21),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK5(sK3,iPr_def_21))) = k2_tex_4(sK2,sK5(sK2,sK5(sK3,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_116010]) ).
tcf(c_132058,plain,
( v1_tsp_1(iPr_def_21,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_21),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK5(sK2,iPr_def_21))) = k2_tex_4(sK2,sK5(sK2,sK5(sK2,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_116010]) ).
tcf(c_132060,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| v1_tsp_1(sK6(iPr_def_21,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK6(iPr_def_21,X0))) = k2_tex_4(sK2,sK5(sK2,sK6(iPr_def_21,X0))) ) ),
inference(superposition,[status(thm)],[c_114499,c_116010]) ).
tcf(c_132061,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK2,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_struct_0(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k1_struct_0(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114637,c_116010]) ).
tcf(c_132062,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_20)) = k2_tex_4(sK2,sK5(sK2,iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_120337,c_116010]) ).
tcf(c_132063,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_114775,c_116010]) ).
tcf(c_132064,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115077,c_116010]) ).
tcf(c_132065,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k2_tex_4(sK2,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115531,c_116010]) ).
tcf(c_132066,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115361,c_116010]) ).
tcf(c_132067,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_115387,c_116010]) ).
tcf(c_132068,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_115432,c_116010]) ).
tcf(c_132069,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK7(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116991,c_116010]) ).
tcf(c_132070,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_31)) = k2_tex_4(sK2,sK5(sK2,iPr_def_31)) ) ),
inference(superposition,[status(thm)],[c_122540,c_116010]) ).
tcf(c_132071,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_tarski(iPr_def_27))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(iPr_def_27))) ) ),
inference(superposition,[status(thm)],[c_123747,c_116010]) ).
tcf(c_132073,plain,
( v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125949,c_116010]) ).
tcf(c_132078,plain,
( v1_tsp_1(sK17(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK3))) = k2_tex_4(sK2,sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126915,c_116010]) ).
tcf(c_132079,plain,
( v1_tsp_1(sK19(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK3))) = k2_tex_4(sK2,sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127042,c_116010]) ).
tcf(c_132080,plain,
( v1_tsp_1(sK25(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK3))) = k2_tex_4(sK2,sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127269,c_116010]) ).
tcf(c_132081,plain,
( v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127377,c_116010]) ).
tcf(c_132082,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) ) ),
inference(superposition,[status(thm)],[c_127573,c_116010]) ).
tcf(c_132084,plain,
( v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127907,c_116010]) ).
tcf(c_132086,plain,
( v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128182,c_116010]) ).
tcf(c_132087,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_131010,c_116010]) ).
tcf(c_132250,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132066,c_117374]) ).
tcf(c_132251,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132066,c_119339]) ).
tcf(c_132252,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132066,c_114501]) ).
tcf(c_132253,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132066,c_113891]) ).
tcf(c_132254,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132250,c_115361]) ).
tcf(c_132258,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132251,c_115361]) ).
tcf(c_132263,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132252,c_115361]) ).
tcf(c_132267,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132253,c_115361]) ).
tcf(c_132403,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8226,c_124997]) ).
tcf(c_132404,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8224,c_124997]) ).
tcf(c_132405,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_27,u1_struct_0(sK2))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),iPr_def_32) ),
inference(superposition,[status(thm)],[c_116015,c_124997]) ).
tcf(c_132406,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r2_hidden(iPr_def_21,iPr_def_32) ),
inference(light_normalisation,[status(thm)],[c_132405,c_8226,c_8227]) ).
tcf(c_132407,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_132404,c_8224,c_8225]) ).
tcf(c_132409,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_132403,c_8226,c_8227]) ).
tcf(c_132424,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k4_tex_4(sK3,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121406,c_117091]) ).
tcf(c_132427,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = iPr_def_18 )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k4_tex_4(sK3,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132424,c_116663,c_8268]) ).
tcf(c_132438,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k1_struct_0(sK3,X0),sK2)
| ~ m1_subset_1(k1_struct_0(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121407,c_117091]) ).
tcf(c_132441,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = iPr_def_18 )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k1_struct_0(sK3,X0),sK2)
| ~ m1_subset_1(k1_struct_0(sK3,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132438,c_116663,c_8268]) ).
tcf(c_132452,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121717,c_117091]) ).
tcf(c_132455,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_115533]) ).
tcf(c_132456,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_115532]) ).
tcf(c_132457,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_115528]) ).
tcf(c_132462,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132452,c_120337]) ).
tcf(c_132472,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132455,c_120337]) ).
tcf(c_132483,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k1_struct_0(sK2,X0),sK2)
| ~ m1_subset_1(k1_struct_0(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121723,c_117091]) ).
tcf(c_132486,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k1_struct_0(sK2,X0),sK2)
| ~ m1_subset_1(k1_struct_0(sK2,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132483,c_120337]) ).
tcf(c_132496,plain,
( ( sK19(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129208,c_117091]) ).
tcf(c_132497,plain,
( r2_hidden(sK19(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129208,c_125044]) ).
tcf(c_132498,plain,
( m1_subset_1(sK19(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129208,c_114653]) ).
tcf(c_132503,plain,
( ( sK19(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132496,c_116663,c_8268,c_115387]) ).
tcf(c_132511,plain,
( ( sK19(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129212,c_117091]) ).
tcf(c_132512,plain,
( r2_hidden(sK19(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129212,c_125046]) ).
tcf(c_132513,plain,
( m1_subset_1(sK19(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129212,c_114655]) ).
tcf(c_132518,plain,
( ( sK19(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132511,c_115387]) ).
tcf(c_132534,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132067,c_117374]) ).
tcf(c_132535,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132067,c_119339]) ).
tcf(c_132536,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132067,c_114501]) ).
tcf(c_132537,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132067,c_113891]) ).
tcf(c_132538,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132534,c_115387]) ).
tcf(c_132542,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132535,c_115387]) ).
tcf(c_132547,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132536,c_115387]) ).
tcf(c_132551,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132537,c_115387]) ).
tcf(c_132560,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132068,c_117374]) ).
tcf(c_132561,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132068,c_119339]) ).
tcf(c_132562,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132068,c_114501]) ).
tcf(c_132563,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132068,c_113891]) ).
tcf(c_132564,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132560,c_115432]) ).
tcf(c_132568,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132561,c_115432]) ).
tcf(c_132573,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132562,c_115432]) ).
tcf(c_132577,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132563,c_115432]) ).
tcf(c_132613,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132063,c_117374]) ).
tcf(c_132614,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132063,c_119339]) ).
tcf(c_132615,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132063,c_114501]) ).
tcf(c_132616,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132063,c_113891]) ).
tcf(c_132617,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132613,c_114775]) ).
tcf(c_132621,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132614,c_114775]) ).
tcf(c_132626,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132615,c_114775]) ).
tcf(c_132630,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132616,c_114775]) ).
tcf(c_132639,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132064,c_117374]) ).
tcf(c_132640,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132064,c_119339]) ).
tcf(c_132641,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132064,c_114501]) ).
tcf(c_132642,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132064,c_113891]) ).
tcf(c_132643,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132639,c_115077]) ).
tcf(c_132647,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132640,c_115077]) ).
tcf(c_132652,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132641,c_115077]) ).
tcf(c_132656,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132642,c_115077]) ).
tcf(c_132692,plain,
sK22(sK14(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_124649]) ).
tcf(c_132693,plain,
sK22(sK14(sK8)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_124649]) ).
tcf(c_132694,plain,
sK22(sK14(sK3)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_124649]) ).
tcf(c_132695,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_124649]) ).
tcf(c_132696,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_124649]) ).
tcf(c_132721,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK2)) ),
inference(superposition,[status(thm)],[c_132692,c_114892]) ).
tcf(c_132722,plain,
( ( u1_struct_0(sK14(sK2)) = sK22(sK14(sK2)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(sK22(sK14(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132692,c_124845]) ).
tcf(c_132723,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK2)))
| ~ l1_pre_topc(sK14(sK2)) ),
inference(superposition,[status(thm)],[c_132692,c_114795]) ).
tcf(c_132724,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK2)) ),
inference(superposition,[status(thm)],[c_132692,c_254]) ).
tcf(c_132726,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK2))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_132722,c_132692]) ).
tcf(c_132727,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132726,c_114344,c_115077]) ).
tcf(c_132732,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK8)) ),
inference(superposition,[status(thm)],[c_132693,c_114892]) ).
tcf(c_132733,plain,
( ( u1_struct_0(sK14(sK8)) = sK22(sK14(sK8)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK8))
| ~ v1_tsp_1(u1_struct_0(sK14(sK8)),sK2)
| ~ m1_subset_1(sK22(sK14(sK8)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK8)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132693,c_124845]) ).
tcf(c_132734,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK8)))
| ~ l1_pre_topc(sK14(sK8)) ),
inference(superposition,[status(thm)],[c_132693,c_114795]) ).
tcf(c_132735,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK8)) ),
inference(superposition,[status(thm)],[c_132693,c_254]) ).
tcf(c_132737,plain,
( ( u1_struct_0(sK14(sK8)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK8))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK14(sK8)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK8)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_132733,c_132693]) ).
tcf(c_132738,plain,
( ( u1_struct_0(sK14(sK8)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK8))
| ~ v1_tsp_1(u1_struct_0(sK14(sK8)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK8)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132737,c_114344]) ).
tcf(c_132748,plain,
sK22(sK10(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_124650]) ).
tcf(c_132749,plain,
sK22(sK10(sK8)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_124650]) ).
tcf(c_132750,plain,
sK22(sK10(sK3)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_124650]) ).
tcf(c_132751,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_124650]) ).
tcf(c_132752,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_124650]) ).
tcf(c_132765,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK3)) ),
inference(superposition,[status(thm)],[c_132694,c_114892]) ).
tcf(c_132766,plain,
( ( u1_struct_0(sK14(sK3)) = sK22(sK14(sK3)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK3))
| ~ v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(sK22(sK14(sK3)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132694,c_124845]) ).
tcf(c_132767,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK3)))
| ~ l1_pre_topc(sK14(sK3)) ),
inference(superposition,[status(thm)],[c_132694,c_114795]) ).
tcf(c_132768,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK3)) ),
inference(superposition,[status(thm)],[c_132694,c_254]) ).
tcf(c_132770,plain,
( ( u1_struct_0(sK14(sK3)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK3))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_132766,c_132694]) ).
tcf(c_132771,plain,
( ( u1_struct_0(sK14(sK3)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK3))
| ~ v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132770,c_114344]) ).
tcf(c_132779,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK2)) ),
inference(superposition,[status(thm)],[c_132748,c_114892]) ).
tcf(c_132780,plain,
( ( u1_struct_0(sK10(sK2)) = sK22(sK10(sK2)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(sK22(sK10(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132748,c_124845]) ).
tcf(c_132781,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK2)))
| ~ l1_pre_topc(sK10(sK2)) ),
inference(superposition,[status(thm)],[c_132748,c_114795]) ).
tcf(c_132782,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK2)) ),
inference(superposition,[status(thm)],[c_132748,c_254]) ).
tcf(c_132784,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK2))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_132780,c_132748]) ).
tcf(c_132785,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132784,c_114344,c_114775]) ).
tcf(c_132790,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK8)) ),
inference(superposition,[status(thm)],[c_132749,c_114892]) ).
tcf(c_132791,plain,
( ( u1_struct_0(sK10(sK8)) = sK22(sK10(sK8)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK8))
| ~ v1_tsp_1(u1_struct_0(sK10(sK8)),sK2)
| ~ m1_subset_1(sK22(sK10(sK8)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK8)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132749,c_124845]) ).
tcf(c_132792,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK8)))
| ~ l1_pre_topc(sK10(sK8)) ),
inference(superposition,[status(thm)],[c_132749,c_114795]) ).
tcf(c_132793,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK8)) ),
inference(superposition,[status(thm)],[c_132749,c_254]) ).
tcf(c_132795,plain,
( ( u1_struct_0(sK10(sK8)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK8))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK10(sK8)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK8)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_132791,c_132749]) ).
tcf(c_132796,plain,
( ( u1_struct_0(sK10(sK8)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK8))
| ~ v1_tsp_1(u1_struct_0(sK10(sK8)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK8)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132795,c_114344]) ).
tcf(c_132804,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK3)) ),
inference(superposition,[status(thm)],[c_132750,c_114892]) ).
tcf(c_132805,plain,
( ( u1_struct_0(sK10(sK3)) = sK22(sK10(sK3)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK3))
| ~ v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(sK22(sK10(sK3)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132750,c_124845]) ).
tcf(c_132806,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK3)))
| ~ l1_pre_topc(sK10(sK3)) ),
inference(superposition,[status(thm)],[c_132750,c_114795]) ).
tcf(c_132807,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK3)) ),
inference(superposition,[status(thm)],[c_132750,c_254]) ).
tcf(c_132809,plain,
( ( u1_struct_0(sK10(sK3)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK3))
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_132805,c_132750]) ).
tcf(c_132810,plain,
( ( u1_struct_0(sK10(sK3)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK3))
| ~ v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132809,c_114344]) ).
tcf(c_132816,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_132727,c_29278]) ).
tcf(c_132824,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_xboole_0(u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_114403,c_132816]) ).
tcf(c_132833,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_132785,c_60,c_4162,c_29578]) ).
tcf(c_132841,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_xboole_0(u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_114403,c_132833]) ).
tcf(c_132874,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_132053]) ).
tcf(c_132875,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132053,c_117374]) ).
tcf(c_132876,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132053,c_119339]) ).
tcf(c_132877,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1))) = k1_struct_0(sK2,sK6(k2_tex_4(sK2,X0),X1)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132053,c_114501]) ).
tcf(c_132878,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132053,c_113891]) ).
tcf(c_132879,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_132053,c_113997]) ).
tcf(c_132880,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_132874,c_116015]) ).
tcf(c_133073,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(k1_zfmisc_1(X1),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114884,c_125048]) ).
tcf(c_133077,plain,
! [X0: $i] :
( ~ r1_tarski(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_8225,c_125048]) ).
tcf(c_133078,plain,
! [X0: $i] :
( ~ r1_tarski(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_8227,c_125048]) ).
tcf(c_133079,plain,
! [X0: $i] :
( ~ r1_tarski(X0,iPr_def_28)
| ~ r2_hidden(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_8235,c_125048]) ).
tcf(c_133096,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_133077]) ).
tcf(c_133097,plain,
~ r2_hidden(iPr_def_19,sK12(k1_zfmisc_1(iPr_def_18))),
inference(superposition,[status(thm)],[c_114667,c_133077]) ).
tcf(c_133099,plain,
( ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_133077]) ).
tcf(c_133100,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_133077]) ).
tcf(c_133101,plain,
( ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_133077]) ).
tcf(c_133102,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_133077]) ).
tcf(c_133103,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_133077]) ).
tcf(c_133104,plain,
( ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_133077]) ).
tcf(c_133105,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r2_hidden(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_133077]) ).
tcf(c_133106,plain,
( ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_133077]) ).
tcf(c_133107,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r2_hidden(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_133077]) ).
tcf(c_133108,plain,
( ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_133077]) ).
tcf(c_133109,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r2_hidden(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_133077]) ).
tcf(c_133110,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r2_hidden(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_133077]) ).
tcf(c_133111,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r2_hidden(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_133077]) ).
tcf(c_133112,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_18))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_18)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_133077]) ).
tcf(c_133113,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r2_hidden(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_133077]) ).
tcf(c_133122,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r2_hidden(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_133077]) ).
tcf(c_133129,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_133077]) ).
tcf(c_133131,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_133077]) ).
tcf(c_133132,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_133077]) ).
tcf(c_133133,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_133077]) ).
tcf(c_133242,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_20)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_133078]) ).
tcf(c_133244,plain,
~ r2_hidden(iPr_def_21,sK12(k1_zfmisc_1(iPr_def_20))),
inference(superposition,[status(thm)],[c_114667,c_133078]) ).
tcf(c_133250,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_133078]) ).
tcf(c_133260,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_20))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_20)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_133078]) ).
tcf(c_133273,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r2_hidden(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_133078]) ).
tcf(c_133280,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_133078]) ).
tcf(c_133282,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_133078]) ).
tcf(c_133339,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_28)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_133079]) ).
tcf(c_133340,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_28)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_133079]) ).
tcf(c_133341,plain,
~ r2_hidden(iPr_def_29,sK12(k1_zfmisc_1(iPr_def_28))),
inference(superposition,[status(thm)],[c_114667,c_133079]) ).
tcf(c_133343,plain,
( ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_133079]) ).
tcf(c_133344,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_133079]) ).
tcf(c_133345,plain,
( ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_133079]) ).
tcf(c_133346,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_133079]) ).
tcf(c_133347,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_133079]) ).
tcf(c_133348,plain,
( ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_133079]) ).
tcf(c_133349,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r2_hidden(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_133079]) ).
tcf(c_133350,plain,
( ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_133079]) ).
tcf(c_133351,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r2_hidden(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_133079]) ).
tcf(c_133352,plain,
( ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_133079]) ).
tcf(c_133353,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r2_hidden(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_133079]) ).
tcf(c_133354,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r2_hidden(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_133079]) ).
tcf(c_133355,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r2_hidden(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_133079]) ).
tcf(c_133356,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_28))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_28)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(iPr_def_29,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_133079]) ).
tcf(c_133357,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r2_hidden(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_133079]) ).
tcf(c_133363,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r2_hidden(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_133079]) ).
tcf(c_133364,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(iPr_def_29,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_133079]) ).
tcf(c_133365,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_133079]) ).
tcf(c_133366,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_133079]) ).
tcf(c_133368,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_133079]) ).
tcf(c_133369,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_133079]) ).
tcf(c_133501,plain,
( ( sK25(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129339,c_117091]) ).
tcf(c_133502,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_133077]) ).
tcf(c_133503,plain,
( r2_hidden(sK25(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129339,c_125044]) ).
tcf(c_133504,plain,
( m1_subset_1(sK25(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129339,c_114653]) ).
tcf(c_133511,plain,
( ( sK25(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133501,c_116663,c_8268,c_115432]) ).
tcf(c_133525,plain,
( ( sK25(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129343,c_117091]) ).
tcf(c_133526,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_133079]) ).
tcf(c_133527,plain,
( r2_hidden(sK25(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129343,c_125046]) ).
tcf(c_133528,plain,
( m1_subset_1(sK25(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129343,c_114655]) ).
tcf(c_133535,plain,
( ( sK25(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133525,c_115432]) ).
tcf(c_133545,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129415,c_117091]) ).
tcf(c_133546,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_133078]) ).
tcf(c_133547,plain,
( r2_hidden(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129415,c_125045]) ).
tcf(c_133548,plain,
( m1_subset_1(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129415,c_114654]) ).
tcf(c_133555,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133545,c_120337]) ).
tcf(c_133706,plain,
( ( sK17(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK2)
| ~ m1_subset_1(sK17(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129428,c_117091]) ).
tcf(c_133707,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_133079]) ).
tcf(c_133708,plain,
( r2_hidden(sK17(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129428,c_125046]) ).
tcf(c_133709,plain,
( m1_subset_1(sK17(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129428,c_114655]) ).
tcf(c_133782,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132263,c_117091]) ).
tcf(c_133783,plain,
( ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_133077]) ).
tcf(c_133784,plain,
( r2_hidden(sK17(sK2),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132263,c_125044]) ).
tcf(c_133785,plain,
( m1_subset_1(sK17(sK2),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132263,c_114653]) ).
tcf(c_133789,plain,
( ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_133079]) ).
tcf(c_133790,plain,
( r2_hidden(sK17(sK2),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132263,c_125046]) ).
tcf(c_133791,plain,
( m1_subset_1(sK17(sK2),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132263,c_114655]) ).
tcf(c_133810,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133782,c_115361]) ).
tcf(c_133821,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_114903]) ).
tcf(c_133822,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_114903]) ).
tcf(c_133823,plain,
! [X0: $i,X1: $i] :
( r2_hidden(u1_struct_0(sK10(X0)),X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114903,c_152]) ).
tcf(c_133824,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114903,c_61]) ).
tcf(c_133827,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,u1_struct_0(sK10(X0)))) = k1_struct_0(sK3,u1_struct_0(sK10(X0))) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114903,c_8259]) ).
tcf(c_133828,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,u1_struct_0(sK10(X0)))) = k1_struct_0(sK2,u1_struct_0(sK10(X0))) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114903,c_8246]) ).
tcf(c_133829,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_133822,c_8225]) ).
tcf(c_133830,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_133821,c_8227]) ).
tcf(c_133858,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_125883]) ).
tcf(c_133859,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_125883]) ).
tcf(c_133861,plain,
~ r1_tarski(iPr_def_21,sK16(iPr_def_20)),
inference(superposition,[status(thm)],[c_115799,c_125883]) ).
tcf(c_133862,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_115952,c_125883]) ).
tcf(c_133864,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_125883]) ).
tcf(c_133865,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_125883]) ).
tcf(c_133869,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_117792,c_125883]) ).
tcf(c_133870,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_118028,c_125883]) ).
tcf(c_133871,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_118042,c_125883]) ).
tcf(c_133874,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_125883]) ).
tcf(c_133875,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_125883]) ).
tcf(c_133876,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_125883]) ).
tcf(c_133878,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_125628,c_125883]) ).
tcf(c_133880,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_125883]) ).
tcf(c_133938,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_125947]) ).
tcf(c_133939,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_125947]) ).
tcf(c_133942,plain,
~ r1_tarski(iPr_def_19,sK16(iPr_def_18)),
inference(superposition,[status(thm)],[c_115952,c_125947]) ).
tcf(c_133944,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_125947]) ).
tcf(c_133945,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_125947]) ).
tcf(c_133946,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_117727,c_125947]) ).
tcf(c_133947,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_117747,c_125947]) ).
tcf(c_133948,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_117775,c_125947]) ).
tcf(c_133952,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_125947]) ).
tcf(c_133953,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_125947]) ).
tcf(c_133956,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_125947]) ).
tcf(c_133957,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123915,c_125947]) ).
tcf(c_133959,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_125947]) ).
tcf(c_133960,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_125947]) ).
tcf(c_134035,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_126300,c_152]) ).
tcf(c_134036,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_61]) ).
tcf(c_134038,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_126300,c_292]) ).
tcf(c_134039,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k2_tex_4(sK3,iPr_def_30))) = k1_struct_0(sK3,k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126300,c_8259]) ).
tcf(c_134040,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k2_tex_4(sK3,iPr_def_30))) = k1_struct_0(sK2,k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126300,c_8246]) ).
tcf(c_134041,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k2_tex_4(sK3,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_126300,c_8258]) ).
tcf(c_134042,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k2_tex_4(sK3,iPr_def_30)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_126300,c_8245]) ).
tcf(c_134043,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k2_tex_4(sK3,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_126300,c_114471]) ).
tcf(c_134044,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_126300,c_114472]) ).
tcf(c_134045,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_30)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126300,c_114475]) ).
tcf(c_134046,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,sK6(k2_tex_4(sK3,iPr_def_30),X0)) ),
inference(superposition,[status(thm)],[c_126300,c_114497]) ).
tcf(c_134047,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_115529]) ).
tcf(c_134048,plain,
( v1_xboole_0(k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_126300,c_119169]) ).
tcf(c_134049,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_125883]) ).
tcf(c_134051,plain,
~ r1_tarski(iPr_def_19,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_134045,c_114708]) ).
tcf(c_134058,plain,
~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_134048,c_126267]) ).
tcf(c_134067,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k2_tex_4(sK3,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134043,c_126268]) ).
tcf(c_134235,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132547,c_117091]) ).
tcf(c_134236,plain,
( ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_133077]) ).
tcf(c_134237,plain,
( r2_hidden(sK19(sK2),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132547,c_125044]) ).
tcf(c_134238,plain,
( m1_subset_1(sK19(sK2),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132547,c_114653]) ).
tcf(c_134242,plain,
( ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_133079]) ).
tcf(c_134243,plain,
( r2_hidden(sK19(sK2),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132547,c_125046]) ).
tcf(c_134244,plain,
( m1_subset_1(sK19(sK2),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132547,c_114655]) ).
tcf(c_134263,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134235,c_115387]) ).
tcf(c_134298,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132573,c_117091]) ).
tcf(c_134299,plain,
( ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_133077]) ).
tcf(c_134300,plain,
( r2_hidden(sK25(sK2),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132573,c_125044]) ).
tcf(c_134301,plain,
( m1_subset_1(sK25(sK2),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132573,c_114653]) ).
tcf(c_134305,plain,
( ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_133079]) ).
tcf(c_134306,plain,
( r2_hidden(sK25(sK2),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132573,c_125046]) ).
tcf(c_134307,plain,
( m1_subset_1(sK25(sK2),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132573,c_114655]) ).
tcf(c_134326,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134298,c_115432]) ).
tcf(c_134355,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ v1_xboole_0(sK17(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_132267]) ).
tcf(c_134356,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_132267]) ).
tcf(c_134386,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ v1_xboole_0(sK19(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_132551]) ).
tcf(c_134387,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_132551]) ).
tcf(c_134437,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ v1_xboole_0(sK25(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_132577]) ).
tcf(c_134438,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_132577]) ).
tcf(c_134453,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132626,c_117091]) ).
tcf(c_134454,plain,
( ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_133077]) ).
tcf(c_134455,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132626,c_125044]) ).
tcf(c_134456,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132626,c_114653]) ).
tcf(c_134460,plain,
( ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_133079]) ).
tcf(c_134461,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132626,c_125046]) ).
tcf(c_134462,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132626,c_114655]) ).
tcf(c_134481,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134453,c_114775]) ).
tcf(c_134585,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132652,c_117091]) ).
tcf(c_134586,plain,
( ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_133077]) ).
tcf(c_134587,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132652,c_125044]) ).
tcf(c_134588,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_132652,c_114653]) ).
tcf(c_134592,plain,
( ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_133079]) ).
tcf(c_134593,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132652,c_125046]) ).
tcf(c_134594,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_132652,c_114655]) ).
tcf(c_134613,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134585,c_115077]) ).
tcf(c_134635,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_132630]) ).
tcf(c_134646,plain,
! [X0: $i] :
( r2_hidden(sK21(sK20),X0)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_114906,c_152]) ).
tcf(c_134647,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114906,c_61]) ).
tcf(c_134648,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_114906,c_305]) ).
tcf(c_134650,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK3,sK21(sK20))) = k1_struct_0(sK3,sK21(sK20)) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114906,c_8259]) ).
tcf(c_134651,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK2,sK21(sK20))) = k1_struct_0(sK2,sK21(sK20)) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114906,c_8246]) ).
tcf(c_134684,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_126685]) ).
tcf(c_134685,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_126685]) ).
tcf(c_134690,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_126685]) ).
tcf(c_134691,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_126685]) ).
tcf(c_134692,plain,
~ r1_tarski(iPr_def_21,sK17(sK2)),
inference(superposition,[status(thm)],[c_117727,c_126685]) ).
tcf(c_134695,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_117792,c_126685]) ).
tcf(c_134696,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_118028,c_126685]) ).
tcf(c_134697,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_118042,c_126685]) ).
tcf(c_134700,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_126685]) ).
tcf(c_134701,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_126685]) ).
tcf(c_134702,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_126685]) ).
tcf(c_134704,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_125628,c_126685]) ).
tcf(c_134706,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_126685]) ).
tcf(c_134707,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_126685]) ).
tcf(c_134774,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_126762]) ).
tcf(c_134775,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_126762]) ).
tcf(c_134780,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_126762]) ).
tcf(c_134781,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_126762]) ).
tcf(c_134783,plain,
~ r1_tarski(iPr_def_21,sK19(sK2)),
inference(superposition,[status(thm)],[c_117747,c_126762]) ).
tcf(c_134785,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_117792,c_126762]) ).
tcf(c_134786,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_118028,c_126762]) ).
tcf(c_134787,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_118042,c_126762]) ).
tcf(c_134790,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_126762]) ).
tcf(c_134791,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_126762]) ).
tcf(c_134792,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_126762]) ).
tcf(c_134794,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_125628,c_126762]) ).
tcf(c_134796,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_126762]) ).
tcf(c_134797,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_126762]) ).
tcf(c_134918,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_126825]) ).
tcf(c_134919,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_126825]) ).
tcf(c_134924,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_126825]) ).
tcf(c_134925,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_126825]) ).
tcf(c_134928,plain,
~ r1_tarski(iPr_def_21,sK25(sK2)),
inference(superposition,[status(thm)],[c_117775,c_126825]) ).
tcf(c_134929,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_117792,c_126825]) ).
tcf(c_134930,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_118028,c_126825]) ).
tcf(c_134931,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_118042,c_126825]) ).
tcf(c_134934,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_126825]) ).
tcf(c_134935,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_126825]) ).
tcf(c_134936,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_126825]) ).
tcf(c_134938,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_125628,c_126825]) ).
tcf(c_134940,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_126825]) ).
tcf(c_134941,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_126825]) ).
tcf(c_134980,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_126913]) ).
tcf(c_134981,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_126913]) ).
tcf(c_134986,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_126913]) ).
tcf(c_134987,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_126913]) ).
tcf(c_134991,plain,
~ r1_tarski(iPr_def_19,sK17(sK3)),
inference(superposition,[status(thm)],[c_117792,c_126913]) ).
tcf(c_134994,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_126913]) ).
tcf(c_134995,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_126913]) ).
tcf(c_134998,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_126913]) ).
tcf(c_134999,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123915,c_126913]) ).
tcf(c_135001,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_126913]) ).
tcf(c_135002,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_126913]) ).
tcf(c_135063,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_132656]) ).
tcf(c_135132,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132049,c_117374]) ).
tcf(c_135133,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_132049,c_119339]) ).
tcf(c_135134,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132049,c_114501]) ).
tcf(c_135135,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_132049,c_113891]) ).
tcf(c_135136,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135132,c_8249]) ).
tcf(c_135140,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135133,c_8249]) ).
tcf(c_135145,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135134,c_8249]) ).
tcf(c_135149,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135135,c_8249]) ).
tcf(c_135158,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132050,c_117374]) ).
tcf(c_135159,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_132050,c_119339]) ).
tcf(c_135160,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132050,c_114501]) ).
tcf(c_135161,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_132050,c_113891]) ).
tcf(c_135162,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135158,c_8251]) ).
tcf(c_135166,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135159,c_8251]) ).
tcf(c_135171,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135160,c_8251]) ).
tcf(c_135175,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135161,c_8251]) ).
tcf(c_135198,plain,
! [X0: $i] :
( r2_hidden(sK26(sK20),X0)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_114910,c_152]) ).
tcf(c_135199,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114910,c_61]) ).
tcf(c_135202,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK3,sK26(sK20))) = k1_struct_0(sK3,sK26(sK20)) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114910,c_8259]) ).
tcf(c_135203,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK2,sK26(sK20))) = k1_struct_0(sK2,sK26(sK20)) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114910,c_8246]) ).
tcf(c_135229,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_127040]) ).
tcf(c_135230,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_127040]) ).
tcf(c_135235,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_127040]) ).
tcf(c_135236,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_127040]) ).
tcf(c_135241,plain,
~ r1_tarski(iPr_def_19,sK19(sK3)),
inference(superposition,[status(thm)],[c_118028,c_127040]) ).
tcf(c_135243,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_127040]) ).
tcf(c_135244,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_127040]) ).
tcf(c_135247,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_127040]) ).
tcf(c_135248,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123915,c_127040]) ).
tcf(c_135250,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_127040]) ).
tcf(c_135251,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_127040]) ).
tcf(c_135316,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_127267]) ).
tcf(c_135317,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_127267]) ).
tcf(c_135322,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_127267]) ).
tcf(c_135323,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_127267]) ).
tcf(c_135329,plain,
~ r1_tarski(iPr_def_19,sK25(sK3)),
inference(superposition,[status(thm)],[c_118042,c_127267]) ).
tcf(c_135330,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_127267]) ).
tcf(c_135331,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_127267]) ).
tcf(c_135334,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_127267]) ).
tcf(c_135335,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123915,c_127267]) ).
tcf(c_135337,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_127267]) ).
tcf(c_135338,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_127267]) ).
tcf(c_135416,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_127375]) ).
tcf(c_135417,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_127375]) ).
tcf(c_135430,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_127375]) ).
tcf(c_135431,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_127375]) ).
tcf(c_135432,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_127375]) ).
tcf(c_135433,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_127375]) ).
tcf(c_135434,plain,
~ r1_tarski(iPr_def_29,sK16(iPr_def_28)),
inference(superposition,[status(thm)],[c_118672,c_127375]) ).
tcf(c_135435,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_123915,c_127375]) ).
tcf(c_135436,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_125628,c_127375]) ).
tcf(c_135437,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_125662,c_127375]) ).
tcf(c_135439,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_127375]) ).
tcf(c_135482,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_127743,c_152]) ).
tcf(c_135483,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_61]) ).
tcf(c_135485,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_127743,c_292]) ).
tcf(c_135486,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k2_tex_4(sK2,iPr_def_30))) = k1_struct_0(sK3,k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127743,c_8259]) ).
tcf(c_135487,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k2_tex_4(sK2,iPr_def_30))) = k1_struct_0(sK2,k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127743,c_8246]) ).
tcf(c_135488,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k2_tex_4(sK2,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_127743,c_8258]) ).
tcf(c_135489,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k2_tex_4(sK2,iPr_def_30)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_127743,c_8245]) ).
tcf(c_135490,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_127743,c_114471]) ).
tcf(c_135491,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_127743,c_114472]) ).
tcf(c_135492,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_30)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_127743,c_114474]) ).
tcf(c_135493,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,sK6(k2_tex_4(sK2,iPr_def_30),X0)) ),
inference(superposition,[status(thm)],[c_127743,c_114497]) ).
tcf(c_135494,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_115529]) ).
tcf(c_135495,plain,
( v1_xboole_0(k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_127743,c_119169]) ).
tcf(c_135497,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_125947]) ).
tcf(c_135502,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_126913]) ).
tcf(c_135503,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_127040]) ).
tcf(c_135504,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_127267]) ).
tcf(c_135505,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_127375]) ).
tcf(c_135506,plain,
~ r1_tarski(iPr_def_21,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_127743,c_127584]) ).
tcf(c_135507,plain,
~ r1_tarski(iPr_def_21,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_135492,c_122454]) ).
tcf(c_135524,plain,
~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_135495,c_127572]) ).
tcf(c_135530,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135491,c_127573]) ).
tcf(c_135720,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132051,c_117374]) ).
tcf(c_135721,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_132051,c_119339]) ).
tcf(c_135722,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132051,c_114501]) ).
tcf(c_135723,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_132051,c_113891]) ).
tcf(c_135724,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135720,c_8253]) ).
tcf(c_135728,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135721,c_8253]) ).
tcf(c_135733,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135722,c_8253]) ).
tcf(c_135737,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135723,c_8253]) ).
tcf(c_135748,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_8236,c_132457]) ).
tcf(c_135749,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X2),X1)
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(X2,iPr_def_20)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_132457,c_152]) ).
tcf(c_135750,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_132457,c_61]) ).
tcf(c_135751,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_132457,c_305]) ).
tcf(c_135752,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_132457,c_292]) ).
tcf(c_135753,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ r1_tarski(iPr_def_20,X1)
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_132457,c_8259]) ).
tcf(c_135754,plain,
! [X0: $i,X1: $i] :
( ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) )
| ~ r1_tarski(iPr_def_20,X1)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_132457,c_8246]) ).
tcf(c_135755,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X1))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_132457,c_8258]) ).
tcf(c_135756,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X1))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_132457,c_8245]) ).
tcf(c_135757,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) ),
inference(superposition,[status(thm)],[c_132457,c_114471]) ).
tcf(c_135758,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) ),
inference(superposition,[status(thm)],[c_132457,c_114472]) ).
tcf(c_135759,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)) ),
inference(superposition,[status(thm)],[c_132457,c_114497]) ).
tcf(c_135760,plain,
! [X0: $i,X1: $i] :
( ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_132457,c_115529]) ).
tcf(c_135761,plain,
! [X0: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) ),
inference(superposition,[status(thm)],[c_132457,c_119169]) ).
tcf(c_135762,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_125883]) ).
tcf(c_135763,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_125947]) ).
tcf(c_135765,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_126685]) ).
tcf(c_135766,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_126762]) ).
tcf(c_135767,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_126825]) ).
tcf(c_135768,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_126913]) ).
tcf(c_135769,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_127040]) ).
tcf(c_135770,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_127267]) ).
tcf(c_135771,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_127375]) ).
tcf(c_135887,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(iPr_def_19))) = k2_tex_4(sK3,sK5(sK3,sK12(iPr_def_19))) ) ),
inference(superposition,[status(thm)],[c_173,c_116042]) ).
tcf(c_135888,plain,
( v1_tsp_1(iPr_def_17,sK3)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_17)) = k2_tex_4(sK3,sK5(sK3,iPr_def_17)) ) ),
inference(superposition,[status(thm)],[c_8241,c_116042]) ).
tcf(c_135889,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k4_tex_4(sK3,sK5(sK3,X0)) = k2_tex_4(sK3,sK5(sK3,X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_119982,c_116042]) ).
tcf(c_135890,plain,
( v1_tsp_1(iPr_def_25,sK3)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) ) ),
inference(superposition,[status(thm)],[c_8261,c_116042]) ).
tcf(c_135891,plain,
( v1_tsp_1(iPr_def_26,sK3)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) ) ),
inference(superposition,[status(thm)],[c_8263,c_116042]) ).
tcf(c_135892,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_116248,c_116042]) ).
tcf(c_135894,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK16(iPr_def_18))) = k2_tex_4(sK3,sK5(sK3,sK16(iPr_def_18))) ) ),
inference(superposition,[status(thm)],[c_114309,c_116042]) ).
tcf(c_135895,plain,
( v1_tsp_1(iPr_def_19,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_19),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK5(sK3,iPr_def_19))) = k2_tex_4(sK3,sK5(sK3,sK5(sK3,iPr_def_19))) )
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_116042]) ).
tcf(c_135896,plain,
( v1_tsp_1(iPr_def_19,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_19),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK5(sK2,iPr_def_19))) = k2_tex_4(sK3,sK5(sK3,sK5(sK2,iPr_def_19))) )
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_116042]) ).
tcf(c_135898,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| v1_tsp_1(sK6(iPr_def_19,X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK6(iPr_def_19,X0))) = k2_tex_4(sK3,sK5(sK3,sK6(iPr_def_19,X0))) ) ),
inference(superposition,[status(thm)],[c_114499,c_116042]) ).
tcf(c_135899,plain,
( v1_tsp_1(iPr_def_18,sK3)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_18)) = k2_tex_4(sK3,sK5(sK3,iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_119983,c_116042]) ).
tcf(c_135900,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,u1_struct_0(sK10(sK3)))) = k2_tex_4(sK3,sK5(sK3,u1_struct_0(sK10(sK3)))) ) ),
inference(superposition,[status(thm)],[c_114773,c_116042]) ).
tcf(c_135901,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,u1_struct_0(sK14(sK3)))) = k2_tex_4(sK3,sK5(sK3,u1_struct_0(sK14(sK3)))) ) ),
inference(superposition,[status(thm)],[c_115075,c_116042]) ).
tcf(c_135902,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k2_tex_4(sK3,sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115531,c_116042]) ).
tcf(c_135903,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK17(sK3))) = k2_tex_4(sK3,sK5(sK3,sK17(sK3))) ) ),
inference(superposition,[status(thm)],[c_115359,c_116042]) ).
tcf(c_135904,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK19(sK3))) = k2_tex_4(sK3,sK5(sK3,sK19(sK3))) ) ),
inference(superposition,[status(thm)],[c_115385,c_116042]) ).
tcf(c_135905,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK25(sK3))) = k2_tex_4(sK3,sK5(sK3,sK25(sK3))) ) ),
inference(superposition,[status(thm)],[c_115430,c_116042]) ).
tcf(c_135906,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK3,X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k4_tex_4(sK3,X0))) = k2_tex_4(sK3,sK5(sK3,k4_tex_4(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115978,c_116042]) ).
tcf(c_135907,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK3,X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_struct_0(sK3,X0))) = k2_tex_4(sK3,sK5(sK3,k1_struct_0(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115989,c_116042]) ).
tcf(c_135908,plain,
( v1_tsp_1(iPr_def_31,sK3)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_31)) = k2_tex_4(sK3,sK5(sK3,iPr_def_31)) ) ),
inference(superposition,[status(thm)],[c_115998,c_116042]) ).
tcf(c_135909,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_tsp_1(sK7(sK3,X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK7(sK3,X0))) = k2_tex_4(sK3,sK5(sK3,sK7(sK3,X0))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116985,c_116042]) ).
tcf(c_135910,plain,
( v1_tsp_1(sK16(iPr_def_20),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK16(iPr_def_20))) = k2_tex_4(sK3,sK5(sK3,sK16(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_125885,c_116042]) ).
tcf(c_135913,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,iPr_def_30))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,iPr_def_30))) ) ),
inference(superposition,[status(thm)],[c_126268,c_116042]) ).
tcf(c_135914,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK17(sK2))) = k2_tex_4(sK3,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_116042]) ).
tcf(c_135915,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK19(sK2))) = k2_tex_4(sK3,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_116042]) ).
tcf(c_135916,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK25(sK2))) = k2_tex_4(sK3,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_116042]) ).
tcf(c_135920,plain,
( v1_tsp_1(sK16(iPr_def_28),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK16(iPr_def_28))) = k2_tex_4(sK3,sK5(sK3,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127377,c_116042]) ).
tcf(c_135921,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(iPr_def_27))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(iPr_def_27))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_127837,c_116042]) ).
tcf(c_135923,plain,
( v1_tsp_1(sK12(iPr_def_21),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(iPr_def_21))) = k2_tex_4(sK3,sK5(sK3,sK12(iPr_def_21))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128066,c_116042]) ).
tcf(c_135924,plain,
( v1_tsp_1(sK12(iPr_def_29),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(iPr_def_29))) = k2_tex_4(sK3,sK5(sK3,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128182,c_116042]) ).
tcf(c_135925,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(sK12(iPr_def_18)))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(sK12(iPr_def_18)))) ) ),
inference(superposition,[status(thm)],[c_131041,c_116042]) ).
tcf(c_136121,plain,
! [X0: $i] :
( r1_tarski(iPr_def_25,X0)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK6(iPr_def_25,X0))) = k1_struct_0(sK3,sK6(iPr_def_25,X0)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135890,c_114500]) ).
tcf(c_136122,plain,
( v1_tsp_1(iPr_def_25,sK2)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK5(sK2,iPr_def_25))) = k1_struct_0(sK3,sK5(sK2,iPr_def_25)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_21)
| ~ m1_subset_1(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135890,c_113926]) ).
tcf(c_136123,plain,
! [X0: $i] :
( r1_tarski(iPr_def_25,X0)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK6(iPr_def_25,X0))) = k1_struct_0(sK3,sK6(iPr_def_25,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136121,c_8261]) ).
tcf(c_136127,plain,
( v1_tsp_1(iPr_def_25,sK2)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK5(sK2,iPr_def_25))) = k1_struct_0(sK3,sK5(sK2,iPr_def_25)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136122,c_8261]) ).
tcf(c_136136,plain,
! [X0: $i] :
( r1_tarski(iPr_def_26,X0)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK6(iPr_def_26,X0))) = k1_struct_0(sK3,sK6(iPr_def_26,X0)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135891,c_114500]) ).
tcf(c_136137,plain,
( v1_tsp_1(iPr_def_26,sK2)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK5(sK2,iPr_def_26))) = k1_struct_0(sK3,sK5(sK2,iPr_def_26)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_21)
| ~ m1_subset_1(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135891,c_113926]) ).
tcf(c_136138,plain,
! [X0: $i] :
( r1_tarski(iPr_def_26,X0)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK6(iPr_def_26,X0))) = k1_struct_0(sK3,sK6(iPr_def_26,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136136,c_8263]) ).
tcf(c_136142,plain,
( v1_tsp_1(iPr_def_26,sK2)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK5(sK2,iPr_def_26))) = k1_struct_0(sK3,sK5(sK2,iPr_def_26)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136137,c_8263]) ).
tcf(c_136205,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_127835]) ).
tcf(c_136206,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_127835]) ).
tcf(c_136207,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_127835]) ).
tcf(c_136212,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_127835]) ).
tcf(c_136213,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_127835]) ).
tcf(c_136222,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_127835]) ).
tcf(c_136223,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_127835]) ).
tcf(c_136225,plain,
~ r1_tarski(iPr_def_21,k1_tarski(iPr_def_27)),
inference(superposition,[status(thm)],[c_123915,c_127835]) ).
tcf(c_136226,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_125628,c_127835]) ).
tcf(c_136228,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_127835]) ).
tcf(c_136229,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_127835]) ).
tcf(c_136280,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_127905]) ).
tcf(c_136281,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_127905]) ).
tcf(c_136282,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_127905]) ).
tcf(c_136287,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_127905]) ).
tcf(c_136288,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_127905]) ).
tcf(c_136295,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_127905]) ).
tcf(c_136296,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_127905]) ).
tcf(c_136301,plain,
~ r1_tarski(iPr_def_19,sK12(iPr_def_19)),
inference(superposition,[status(thm)],[c_125628,c_127905]) ).
tcf(c_136302,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_127905]) ).
tcf(c_136303,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_127905]) ).
tcf(c_136305,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_127905]) ).
tcf(c_136585,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_128064]) ).
tcf(c_136586,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_128064]) ).
tcf(c_136587,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_128064]) ).
tcf(c_136592,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_128064]) ).
tcf(c_136593,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_128064]) ).
tcf(c_136602,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_128064]) ).
tcf(c_136603,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_128064]) ).
tcf(c_136607,plain,
~ r1_tarski(iPr_def_21,sK12(iPr_def_21)),
inference(superposition,[status(thm)],[c_125662,c_128064]) ).
tcf(c_136608,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_128064]) ).
tcf(c_136609,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_128064]) ).
tcf(c_136642,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_128180]) ).
tcf(c_136643,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_128180]) ).
tcf(c_136644,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_128180]) ).
tcf(c_136657,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_128180]) ).
tcf(c_136658,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_128180]) ).
tcf(c_136659,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_118488,c_128180]) ).
tcf(c_136660,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_118635,c_128180]) ).
tcf(c_136665,plain,
~ r1_tarski(iPr_def_29,sK12(iPr_def_29)),
inference(superposition,[status(thm)],[c_125687,c_128180]) ).
tcf(c_136666,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126300,c_128180]) ).
tcf(c_136667,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_128180]) ).
tcf(c_136765,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_115078]) ).
tcf(c_136766,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_115078]) ).
tcf(c_136767,plain,
! [X0: $i,X1: $i] :
( r2_hidden(u1_struct_0(sK14(X0)),X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115078,c_152]) ).
tcf(c_136768,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115078,c_61]) ).
tcf(c_136771,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,u1_struct_0(sK14(X0)))) = k1_struct_0(sK3,u1_struct_0(sK14(X0))) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115078,c_8259]) ).
tcf(c_136772,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,u1_struct_0(sK14(X0)))) = k1_struct_0(sK2,u1_struct_0(sK14(X0))) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115078,c_8246]) ).
tcf(c_136773,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_136766,c_8225]) ).
tcf(c_136774,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_136765,c_8227]) ).
tcf(c_136836,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129615,c_117091]) ).
tcf(c_136837,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_133078]) ).
tcf(c_136838,plain,
( r2_hidden(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129615,c_125045]) ).
tcf(c_136839,plain,
( m1_subset_1(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129615,c_114654]) ).
tcf(c_136846,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136836,c_120337]) ).
tcf(c_136926,plain,
( r2_hidden(sK17(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_115362]) ).
tcf(c_136927,plain,
( r2_hidden(sK17(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_115362]) ).
tcf(c_136928,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115362,c_152]) ).
tcf(c_136929,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK17(X0)) ),
inference(superposition,[status(thm)],[c_115362,c_61]) ).
tcf(c_136932,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,sK17(X0))) = k1_struct_0(sK3,sK17(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115362,c_8259]) ).
tcf(c_136933,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,sK17(X0))) = k1_struct_0(sK2,sK17(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115362,c_8246]) ).
tcf(c_136934,plain,
( r2_hidden(sK17(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_136927,c_8225]) ).
tcf(c_136935,plain,
( r2_hidden(sK17(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_136926,c_8227]) ).
tcf(c_136996,plain,
( ( sK19(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK2)
| ~ m1_subset_1(sK19(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129628,c_117091]) ).
tcf(c_136997,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_133079]) ).
tcf(c_136998,plain,
( r2_hidden(sK19(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129628,c_125046]) ).
tcf(c_136999,plain,
( m1_subset_1(sK19(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129628,c_114655]) ).
tcf(c_137024,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129751,c_117091]) ).
tcf(c_137025,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_133078]) ).
tcf(c_137026,plain,
( r2_hidden(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129751,c_125045]) ).
tcf(c_137027,plain,
( m1_subset_1(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129751,c_114654]) ).
tcf(c_137034,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137024,c_120337]) ).
tcf(c_137044,plain,
( ( sK25(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK2)
| ~ m1_subset_1(sK25(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129764,c_117091]) ).
tcf(c_137045,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_133079]) ).
tcf(c_137046,plain,
( r2_hidden(sK25(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129764,c_125046]) ).
tcf(c_137047,plain,
( m1_subset_1(sK25(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_129764,c_114655]) ).
tcf(c_137073,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129916,c_117091]) ).
tcf(c_137074,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_133078]) ).
tcf(c_137075,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129916,c_125045]) ).
tcf(c_137076,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_129916,c_114654]) ).
tcf(c_137083,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137073,c_120337]) ).
tcf(c_137174,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_8236,c_127384]) ).
tcf(c_137175,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_28)) ),
inference(light_normalisation,[status(thm)],[c_137174,c_8238]) ).
tcf(c_137176,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_28)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137175,c_8266]) ).
tcf(c_137185,plain,
( r2_hidden(sK19(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_115388]) ).
tcf(c_137186,plain,
( r2_hidden(sK19(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_115388]) ).
tcf(c_137187,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115388,c_152]) ).
tcf(c_137188,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK19(X0)) ),
inference(superposition,[status(thm)],[c_115388,c_61]) ).
tcf(c_137191,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,sK19(X0))) = k1_struct_0(sK3,sK19(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115388,c_8259]) ).
tcf(c_137192,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,sK19(X0))) = k1_struct_0(sK2,sK19(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115388,c_8246]) ).
tcf(c_137193,plain,
( r2_hidden(sK19(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_137186,c_8225]) ).
tcf(c_137194,plain,
( r2_hidden(sK19(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_137185,c_8227]) ).
tcf(c_137256,plain,
( ( sK16(iPr_def_28) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_129925,c_117091]) ).
tcf(c_137257,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_133077]) ).
tcf(c_137258,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129925,c_125044]) ).
tcf(c_137259,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_129925,c_114653]) ).
tcf(c_137266,plain,
( ( sK16(iPr_def_28) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137256,c_116663,c_8268]) ).
tcf(c_137275,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130064,c_117091]) ).
tcf(c_137276,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_133077]) ).
tcf(c_137277,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_130064,c_125044]) ).
tcf(c_137278,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_130064,c_114653]) ).
tcf(c_137285,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137275,c_116663,c_8268,c_123747]) ).
tcf(c_137301,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130068,c_117091]) ).
tcf(c_137302,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_133079]) ).
tcf(c_137303,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_130068,c_125046]) ).
tcf(c_137304,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_130068,c_114655]) ).
tcf(c_137311,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137301,c_123747]) ).
tcf(c_137339,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130232,c_117091]) ).
tcf(c_137340,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_133078]) ).
tcf(c_137341,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_130232,c_125045]) ).
tcf(c_137342,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_130232,c_114654]) ).
tcf(c_137349,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137339,c_120337]) ).
tcf(c_137482,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_8236,c_128189]) ).
tcf(c_137483,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_29)) ),
inference(light_normalisation,[status(thm)],[c_137482,c_8238]) ).
tcf(c_137484,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_29)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137483,c_8266]) ).
tcf(c_137507,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_122287]) ).
tcf(c_137509,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_122287]) ).
tcf(c_137510,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(iPr_def_26,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_122287]) ).
tcf(c_137511,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_122287]) ).
tcf(c_137512,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_122287]) ).
tcf(c_137547,plain,
( r2_hidden(sK25(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_115433]) ).
tcf(c_137548,plain,
( r2_hidden(sK25(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_115433]) ).
tcf(c_137549,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115433,c_152]) ).
tcf(c_137550,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK25(X0)) ),
inference(superposition,[status(thm)],[c_115433,c_61]) ).
tcf(c_137553,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,sK25(X0))) = k1_struct_0(sK3,sK25(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115433,c_8259]) ).
tcf(c_137554,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,sK25(X0))) = k1_struct_0(sK2,sK25(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115433,c_8246]) ).
tcf(c_137555,plain,
( r2_hidden(sK25(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_137548,c_8225]) ).
tcf(c_137556,plain,
( r2_hidden(sK25(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_137547,c_8227]) ).
tcf(c_137609,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_131043,c_152]) ).
tcf(c_137610,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_61]) ).
tcf(c_137612,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_131043,c_292]) ).
tcf(c_137613,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131043,c_8259]) ).
tcf(c_137614,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131043,c_8246]) ).
tcf(c_137615,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_131043,c_8258]) ).
tcf(c_137616,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(sK12(iPr_def_20))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_131043,c_8245]) ).
tcf(c_137617,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k1_tarski(sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_131043,c_114471]) ).
tcf(c_137618,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_131043,c_114472]) ).
tcf(c_137619,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,sK6(k1_tarski(sK12(iPr_def_20)),X0)) ),
inference(superposition,[status(thm)],[c_131043,c_114497]) ).
tcf(c_137620,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_115529]) ).
tcf(c_137622,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_127905]) ).
tcf(c_137623,plain,
( v1_xboole_0(k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,sK12(k1_tarski(sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_131043,c_119169]) ).
tcf(c_137625,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_125947]) ).
tcf(c_137630,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_126913]) ).
tcf(c_137631,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_127040]) ).
tcf(c_137632,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_127267]) ).
tcf(c_137633,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_127375]) ).
tcf(c_137635,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_128180]) ).
tcf(c_137654,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_137623,c_191]) ).
tcf(c_137662,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137618,c_131010]) ).
tcf(c_137792,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_131131,c_152]) ).
tcf(c_137793,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_61]) ).
tcf(c_137795,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_131131,c_292]) ).
tcf(c_137796,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(sK12(iPr_def_18)))) = k1_struct_0(sK3,k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131131,c_8259]) ).
tcf(c_137797,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(sK12(iPr_def_18)))) = k1_struct_0(sK2,k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131131,c_8246]) ).
tcf(c_137798,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(sK12(iPr_def_18))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_131131,c_8258]) ).
tcf(c_137799,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(sK12(iPr_def_18))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_131131,c_8245]) ).
tcf(c_137800,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK3)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k1_tarski(sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_131131,c_114471]) ).
tcf(c_137801,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_131131,c_114472]) ).
tcf(c_137802,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,sK6(k1_tarski(sK12(iPr_def_18)),X0)) ),
inference(superposition,[status(thm)],[c_131131,c_114497]) ).
tcf(c_137803,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_115529]) ).
tcf(c_137804,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_128064]) ).
tcf(c_137806,plain,
( v1_xboole_0(k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,sK12(k1_tarski(sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_131131,c_119169]) ).
tcf(c_137807,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_125883]) ).
tcf(c_137810,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_126685]) ).
tcf(c_137811,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_126762]) ).
tcf(c_137812,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_126825]) ).
tcf(c_137816,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_127375]) ).
tcf(c_137817,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_127835]) ).
tcf(c_137818,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131131,c_128180]) ).
tcf(c_137837,plain,
~ r1_tarski(iPr_def_19,sK12(k1_tarski(sK12(iPr_def_18)))),
inference(forward_subsumption_resolution,[status(thm)],[c_137806,c_191]) ).
tcf(c_137848,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k1_tarski(sK12(iPr_def_18)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137800,c_131041]) ).
tcf(c_138111,plain,
( ( sK12(iPr_def_19) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130245,c_117091]) ).
tcf(c_138112,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_133079]) ).
tcf(c_138113,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_130245,c_125046]) ).
tcf(c_138114,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_130245,c_114655]) ).
tcf(c_138131,plain,
( ( sK12(iPr_def_21) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130319,c_117091]) ).
tcf(c_138132,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_133077]) ).
tcf(c_138133,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_130319,c_125044]) ).
tcf(c_138134,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_130319,c_114653]) ).
tcf(c_138141,plain,
( ( sK12(iPr_def_21) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138131,c_116663,c_8268,c_173]) ).
tcf(c_138158,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_137509,c_34033,c_113043]) ).
tcf(c_138170,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_26,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_138158,c_152]) ).
tcf(c_138171,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_26) ),
inference(superposition,[status(thm)],[c_138158,c_61]) ).
tcf(c_138172,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_138158,c_305]) ).
tcf(c_138173,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_138158,c_292]) ).
tcf(c_138174,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,iPr_def_26)) = k1_struct_0(sK3,iPr_def_26) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138158,c_8259]) ).
tcf(c_138175,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,iPr_def_26)) = k1_struct_0(sK2,iPr_def_26) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138158,c_8246]) ).
tcf(c_138263,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_122330]) ).
tcf(c_138265,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_122330]) ).
tcf(c_138266,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_18,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_122330]) ).
tcf(c_138267,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_122330]) ).
tcf(c_138268,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_122330]) ).
tcf(c_138297,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_138265,c_33903,c_113026]) ).
tcf(c_138309,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_18,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_138297,c_152]) ).
tcf(c_138310,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_138297,c_61]) ).
tcf(c_138311,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_138297,c_305]) ).
tcf(c_138312,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_138297,c_292]) ).
tcf(c_138313,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_18)) = k1_struct_0(sK3,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138297,c_8259]) ).
tcf(c_138314,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_18)) = k1_struct_0(sK2,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138297,c_8246]) ).
tcf(c_138376,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_122389]) ).
tcf(c_138378,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_122389]) ).
tcf(c_138379,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| r2_hidden(sK4,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_122389]) ).
tcf(c_138380,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_122389]) ).
tcf(c_138381,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_122389]) ).
tcf(c_138433,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK22(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_130886]) ).
tcf(c_138434,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK22(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_130886]) ).
tcf(c_138435,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_119514,c_130886]) ).
tcf(c_138436,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK3)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_124648,c_130886]) ).
tcf(c_138437,plain,
( ~ l1_pre_topc(sK8)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK8)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_124647,c_130886]) ).
tcf(c_138438,plain,
( ~ l1_pre_topc(sK10(sK2))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK2))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_132748,c_130886]) ).
tcf(c_138439,plain,
( ~ l1_pre_topc(sK14(sK2))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK2))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_132692,c_130886]) ).
tcf(c_138440,plain,
( ~ l1_pre_topc(sK14(sK8))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK8))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_132693,c_130886]) ).
tcf(c_138441,plain,
( ~ l1_pre_topc(sK14(sK3))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK3))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_132694,c_130886]) ).
tcf(c_138442,plain,
( ~ l1_pre_topc(sK10(sK8))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK8))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_132749,c_130886]) ).
tcf(c_138443,plain,
( ~ l1_pre_topc(sK10(sK3))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK3))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_132750,c_130886]) ).
tcf(c_138444,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_138436,c_8224,c_8225]) ).
tcf(c_138445,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_138435,c_8226,c_8227]) ).
tcf(c_138461,plain,
! [X0: $i] :
( r1_tarski(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_131212,c_301]) ).
tcf(c_138462,plain,
! [X0: $i,X1: $i] :
( ( sK13(iPr_def_20,iPr_def_18) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,sK13(iPr_def_20,iPr_def_18))
| ~ v1_tsp_1(sK13(iPr_def_20,iPr_def_18),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_131212,c_158]) ).
tcf(c_138463,plain,
! [X0: $i] :
( v1_tsp_2(sK13(iPr_def_20,iPr_def_18),X0)
| r1_tarski(sK13(iPr_def_20,iPr_def_18),sK7(X0,sK13(iPr_def_20,iPr_def_18)))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(sK13(iPr_def_20,iPr_def_18),X0) ),
inference(superposition,[status(thm)],[c_131212,c_155]) ).
tcf(c_138464,plain,
! [X0: $i] :
( v1_tsp_2(sK13(iPr_def_20,iPr_def_18),X0)
| v1_tsp_1(sK7(X0,sK13(iPr_def_20,iPr_def_18)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(sK13(iPr_def_20,iPr_def_18),X0) ),
inference(superposition,[status(thm)],[c_131212,c_154]) ).
tcf(c_138465,plain,
! [X0: $i] :
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_131212,c_157]) ).
tcf(c_138466,plain,
( ( k1_struct_0(sK20,sK13(iPr_def_20,iPr_def_18)) = k1_tarski(sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_131212,c_6743]) ).
tcf(c_138467,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) = k2_tex_4(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131212,c_116010]) ).
tcf(c_138468,plain,
( r1_tarski(sK13(iPr_def_20,iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131212,c_114679]) ).
tcf(c_138469,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) = k1_tarski(sK5(sK2,sK13(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131212,c_115716]) ).
tcf(c_138470,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2) ),
inference(superposition,[status(thm)],[c_131212,c_116313]) ).
tcf(c_138471,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))))) = k2_tex_4(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))),k4_tex_4(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18)))) = k1_struct_0(sK2,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131212,c_114117]) ).
tcf(c_138472,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK13(iPr_def_20,iPr_def_18)) = k1_funct_1(sK4,sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131212,c_116408]) ).
tcf(c_138473,plain,
( ( k4_tex_4(sK2,sK13(iPr_def_20,iPr_def_18)) = k2_tex_4(sK2,sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131212,c_116002]) ).
tcf(c_138474,plain,
( ( k1_struct_0(sK2,sK13(iPr_def_20,iPr_def_18)) = k1_tarski(sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131212,c_115708]) ).
tcf(c_138475,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK13(iPr_def_20,iPr_def_18)))) = k2_tex_4(sK2,sK13(iPr_def_20,iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK13(iPr_def_20,iPr_def_18)),k4_tex_4(sK2,sK13(iPr_def_20,iPr_def_18))) = k1_struct_0(sK2,sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131212,c_114071]) ).
tcf(c_138476,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK13(iPr_def_20,iPr_def_18))) = k2_tex_4(sK3,sK5(sK3,sK13(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131212,c_116042]) ).
tcf(c_138477,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK13(iPr_def_20,iPr_def_18))) = k1_tarski(sK5(sK3,sK13(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131212,c_115769]) ).
tcf(c_138478,plain,
( r1_tarski(sK13(iPr_def_20,iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131212,c_114678]) ).
tcf(c_138479,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK3) ),
inference(superposition,[status(thm)],[c_131212,c_116308]) ).
tcf(c_138480,plain,
( ( k4_tex_4(sK3,sK13(iPr_def_20,iPr_def_18)) = k2_tex_4(sK3,sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131212,c_116034]) ).
tcf(c_138481,plain,
( ( k1_struct_0(sK3,sK13(iPr_def_20,iPr_def_18)) = k1_tarski(sK13(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131212,c_115761]) ).
tcf(c_138639,plain,
! [X0: $i] :
( r1_tarski(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_131279,c_301]) ).
tcf(c_138640,plain,
! [X0: $i,X1: $i] :
( ( sK11(iPr_def_20,iPr_def_18) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,sK11(iPr_def_20,iPr_def_18))
| ~ v1_tsp_1(sK11(iPr_def_20,iPr_def_18),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_131279,c_158]) ).
tcf(c_138641,plain,
! [X0: $i] :
( v1_tsp_2(sK11(iPr_def_20,iPr_def_18),X0)
| r1_tarski(sK11(iPr_def_20,iPr_def_18),sK7(X0,sK11(iPr_def_20,iPr_def_18)))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(sK11(iPr_def_20,iPr_def_18),X0) ),
inference(superposition,[status(thm)],[c_131279,c_155]) ).
tcf(c_138642,plain,
! [X0: $i] :
( v1_tsp_2(sK11(iPr_def_20,iPr_def_18),X0)
| v1_tsp_1(sK7(X0,sK11(iPr_def_20,iPr_def_18)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(sK11(iPr_def_20,iPr_def_18),X0) ),
inference(superposition,[status(thm)],[c_131279,c_154]) ).
tcf(c_138643,plain,
! [X0: $i] :
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_131279,c_157]) ).
tcf(c_138644,plain,
( ( k1_struct_0(sK20,sK11(iPr_def_20,iPr_def_18)) = k1_tarski(sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_131279,c_6743]) ).
tcf(c_138645,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) = k2_tex_4(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131279,c_116010]) ).
tcf(c_138646,plain,
( r1_tarski(sK11(iPr_def_20,iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131279,c_114679]) ).
tcf(c_138647,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) = k1_tarski(sK5(sK2,sK11(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131279,c_115716]) ).
tcf(c_138648,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK2)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),sK2) ),
inference(superposition,[status(thm)],[c_131279,c_116313]) ).
tcf(c_138649,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))))) = k2_tex_4(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))),k4_tex_4(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18)))) = k1_struct_0(sK2,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131279,c_114117]) ).
tcf(c_138650,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK11(iPr_def_20,iPr_def_18)) = k1_funct_1(sK4,sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131279,c_116408]) ).
tcf(c_138651,plain,
( ( k4_tex_4(sK2,sK11(iPr_def_20,iPr_def_18)) = k2_tex_4(sK2,sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131279,c_116002]) ).
tcf(c_138652,plain,
( ( k1_struct_0(sK2,sK11(iPr_def_20,iPr_def_18)) = k1_tarski(sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131279,c_115708]) ).
tcf(c_138653,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK11(iPr_def_20,iPr_def_18)))) = k2_tex_4(sK2,sK11(iPr_def_20,iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK11(iPr_def_20,iPr_def_18)),k4_tex_4(sK2,sK11(iPr_def_20,iPr_def_18))) = k1_struct_0(sK2,sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131279,c_114071]) ).
tcf(c_138654,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK11(iPr_def_20,iPr_def_18))) = k2_tex_4(sK3,sK5(sK3,sK11(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131279,c_116042]) ).
tcf(c_138655,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK11(iPr_def_20,iPr_def_18))) = k1_tarski(sK5(sK3,sK11(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131279,c_115769]) ).
tcf(c_138656,plain,
( r1_tarski(sK11(iPr_def_20,iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131279,c_114678]) ).
tcf(c_138657,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK3)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),sK3) ),
inference(superposition,[status(thm)],[c_131279,c_116308]) ).
tcf(c_138658,plain,
( ( k4_tex_4(sK3,sK11(iPr_def_20,iPr_def_18)) = k2_tex_4(sK3,sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131279,c_116034]) ).
tcf(c_138659,plain,
( ( k1_struct_0(sK3,sK11(iPr_def_20,iPr_def_18)) = k1_tarski(sK11(iPr_def_20,iPr_def_18)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131279,c_115761]) ).
tcf(c_138881,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_131382,c_301]) ).
tcf(c_138882,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_131382,c_158]) ).
tcf(c_138883,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK10(sK2)),X0)
| r1_tarski(u1_struct_0(sK10(sK2)),sK7(X0,u1_struct_0(sK10(sK2))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),X0) ),
inference(superposition,[status(thm)],[c_131382,c_155]) ).
tcf(c_138884,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK10(sK2)),X0)
| v1_tsp_1(sK7(X0,u1_struct_0(sK10(sK2))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK2)),X0) ),
inference(superposition,[status(thm)],[c_131382,c_154]) ).
tcf(c_138885,plain,
! [X0: $i] :
( v1_tsp_1(u1_struct_0(sK10(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_131382,c_157]) ).
tcf(c_138886,plain,
( ( k1_struct_0(sK20,u1_struct_0(sK10(sK2))) = k1_tarski(u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_131382,c_6743]) ).
tcf(c_138890,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(superposition,[status(thm)],[c_131382,c_116313]) ).
tcf(c_138892,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,u1_struct_0(sK10(sK2))) = k1_funct_1(sK4,u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131382,c_116408]) ).
tcf(c_138893,plain,
( ( k4_tex_4(sK2,u1_struct_0(sK10(sK2))) = k2_tex_4(sK2,u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131382,c_116002]) ).
tcf(c_138894,plain,
( ( k1_struct_0(sK2,u1_struct_0(sK10(sK2))) = k1_tarski(u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131382,c_115708]) ).
tcf(c_138895,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,u1_struct_0(sK10(sK2))))) = k2_tex_4(sK2,u1_struct_0(sK10(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,u1_struct_0(sK10(sK2))),k4_tex_4(sK2,u1_struct_0(sK10(sK2)))) = k1_struct_0(sK2,u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131382,c_114071]) ).
tcf(c_138896,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK3,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_116042]) ).
tcf(c_138897,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_115769]) ).
tcf(c_138898,plain,
( r1_tarski(u1_struct_0(sK10(sK2)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_114678]) ).
tcf(c_138899,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3) ),
inference(superposition,[status(thm)],[c_131382,c_116308]) ).
tcf(c_138900,plain,
( ( k4_tex_4(sK3,u1_struct_0(sK10(sK2))) = k2_tex_4(sK3,u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131382,c_116034]) ).
tcf(c_138901,plain,
( ( k1_struct_0(sK3,u1_struct_0(sK10(sK2))) = k1_tarski(u1_struct_0(sK10(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131382,c_115761]) ).
tcf(c_138902,plain,
( r1_tarski(u1_struct_0(sK10(sK2)),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_131382,c_114680]) ).
tcf(c_138903,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_132630]) ).
tcf(c_138904,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_120931]) ).
tcf(c_138905,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_115015]) ).
tcf(c_139038,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_131639,c_301]) ).
tcf(c_139039,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_131639,c_158]) ).
tcf(c_139040,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK14(sK2)),X0)
| r1_tarski(u1_struct_0(sK14(sK2)),sK7(X0,u1_struct_0(sK14(sK2))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),X0) ),
inference(superposition,[status(thm)],[c_131639,c_155]) ).
tcf(c_139041,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK14(sK2)),X0)
| v1_tsp_1(sK7(X0,u1_struct_0(sK14(sK2))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK2)),X0) ),
inference(superposition,[status(thm)],[c_131639,c_154]) ).
tcf(c_139042,plain,
! [X0: $i] :
( v1_tsp_1(u1_struct_0(sK14(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_131639,c_157]) ).
tcf(c_139043,plain,
( ( k1_struct_0(sK20,u1_struct_0(sK14(sK2))) = k1_tarski(u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_131639,c_6743]) ).
tcf(c_139047,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(superposition,[status(thm)],[c_131639,c_116313]) ).
tcf(c_139049,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,u1_struct_0(sK14(sK2))) = k1_funct_1(sK4,u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131639,c_116408]) ).
tcf(c_139050,plain,
( ( k4_tex_4(sK2,u1_struct_0(sK14(sK2))) = k2_tex_4(sK2,u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131639,c_116002]) ).
tcf(c_139051,plain,
( ( k1_struct_0(sK2,u1_struct_0(sK14(sK2))) = k1_tarski(u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131639,c_115708]) ).
tcf(c_139052,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,u1_struct_0(sK14(sK2))))) = k2_tex_4(sK2,u1_struct_0(sK14(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,u1_struct_0(sK14(sK2))),k4_tex_4(sK2,u1_struct_0(sK14(sK2)))) = k1_struct_0(sK2,u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131639,c_114071]) ).
tcf(c_139053,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK3,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_116042]) ).
tcf(c_139054,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_115769]) ).
tcf(c_139055,plain,
( r1_tarski(u1_struct_0(sK14(sK2)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_114678]) ).
tcf(c_139056,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3) ),
inference(superposition,[status(thm)],[c_131639,c_116308]) ).
tcf(c_139057,plain,
( ( k4_tex_4(sK3,u1_struct_0(sK14(sK2))) = k2_tex_4(sK3,u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131639,c_116034]) ).
tcf(c_139058,plain,
( ( k1_struct_0(sK3,u1_struct_0(sK14(sK2))) = k1_tarski(u1_struct_0(sK14(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131639,c_115761]) ).
tcf(c_139059,plain,
( r1_tarski(u1_struct_0(sK14(sK2)),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_131639,c_114680]) ).
tcf(c_139060,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_132656]) ).
tcf(c_139061,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_120965]) ).
tcf(c_139062,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_115182]) ).
tcf(c_139182,plain,
( ( sK12(iPr_def_21) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130323,c_117091]) ).
tcf(c_139183,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_133079]) ).
tcf(c_139184,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_130323,c_125046]) ).
tcf(c_139185,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_130323,c_114655]) ).
tcf(c_139192,plain,
( ( sK12(iPr_def_21) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139182,c_173]) ).
tcf(c_139247,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130439,c_117091]) ).
tcf(c_139248,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_133078]) ).
tcf(c_139249,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_130439,c_125045]) ).
tcf(c_139250,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_130439,c_114654]) ).
tcf(c_139257,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139247,c_120337]) ).
tcf(c_139267,plain,
( ( sK12(iPr_def_29) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_130448,c_117091]) ).
tcf(c_139268,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_133077]) ).
tcf(c_139269,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_130448,c_125044]) ).
tcf(c_139270,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_130448,c_114653]) ).
tcf(c_139277,plain,
( ( sK12(iPr_def_29) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139267,c_116663,c_8268]) ).
tcf(c_139330,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_138378,c_34771,c_112558]) ).
tcf(c_139342,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK4,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_139330,c_152]) ).
tcf(c_139343,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_29)),sK4) ),
inference(superposition,[status(thm)],[c_139330,c_61]) ).
tcf(c_139344,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_139330,c_305]) ).
tcf(c_139345,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_139330,c_292]) ).
tcf(c_139346,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK3,sK4)) = k1_struct_0(sK3,sK4) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_139330,c_8259]) ).
tcf(c_139347,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK2,sK4)) = k1_struct_0(sK2,sK4) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_139330,c_8246]) ).
tcf(c_139410,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_123103]) ).
tcf(c_139412,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123103]) ).
tcf(c_139413,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_32,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123103]) ).
tcf(c_139414,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123103]) ).
tcf(c_139415,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123103]) ).
tcf(c_139458,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_139412,c_33903,c_112097]) ).
tcf(c_139470,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_32,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_139458,c_152]) ).
tcf(c_139471,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_32) ),
inference(superposition,[status(thm)],[c_139458,c_61]) ).
tcf(c_139473,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_139458,c_292]) ).
tcf(c_139474,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_32)) = k1_struct_0(sK3,iPr_def_32) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_139458,c_8259]) ).
tcf(c_139475,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_32)) = k1_struct_0(sK2,iPr_def_32) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_139458,c_8246]) ).
tcf(c_139554,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_133824]) ).
tcf(c_139555,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_8224,c_133824]) ).
tcf(c_139556,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_139555,c_8225]) ).
tcf(c_139557,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_139554,c_8227]) ).
tcf(c_139563,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_131708,c_301]) ).
tcf(c_139564,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(sK10(sK3)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK3)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_131708,c_158]) ).
tcf(c_139565,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK10(sK3)),X0)
| r1_tarski(u1_struct_0(sK10(sK3)),sK7(X0,u1_struct_0(sK10(sK3))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK3)),X0) ),
inference(superposition,[status(thm)],[c_131708,c_155]) ).
tcf(c_139566,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK10(sK3)),X0)
| v1_tsp_1(sK7(X0,u1_struct_0(sK10(sK3))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK3)),X0) ),
inference(superposition,[status(thm)],[c_131708,c_154]) ).
tcf(c_139567,plain,
! [X0: $i] :
( v1_tsp_1(u1_struct_0(sK10(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_131708,c_157]) ).
tcf(c_139568,plain,
( ( k1_struct_0(sK20,u1_struct_0(sK10(sK3))) = k1_tarski(u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_131708,c_6743]) ).
tcf(c_139569,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131708,c_116010]) ).
tcf(c_139570,plain,
( r1_tarski(u1_struct_0(sK10(sK3)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131708,c_114679]) ).
tcf(c_139571,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131708,c_115716]) ).
tcf(c_139572,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK2) ),
inference(superposition,[status(thm)],[c_131708,c_116313]) ).
tcf(c_139573,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK3))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131708,c_114117]) ).
tcf(c_139574,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,u1_struct_0(sK10(sK3))) = k1_funct_1(sK4,u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131708,c_116408]) ).
tcf(c_139575,plain,
( ( k4_tex_4(sK2,u1_struct_0(sK10(sK3))) = k2_tex_4(sK2,u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131708,c_116002]) ).
tcf(c_139576,plain,
( ( k1_struct_0(sK2,u1_struct_0(sK10(sK3))) = k1_tarski(u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131708,c_115708]) ).
tcf(c_139577,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,u1_struct_0(sK10(sK3))))) = k2_tex_4(sK2,u1_struct_0(sK10(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,u1_struct_0(sK10(sK3))),k4_tex_4(sK2,u1_struct_0(sK10(sK3)))) = k1_struct_0(sK2,u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131708,c_114071]) ).
tcf(c_139581,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3) ),
inference(superposition,[status(thm)],[c_131708,c_116308]) ).
tcf(c_139582,plain,
( ( k4_tex_4(sK3,u1_struct_0(sK10(sK3))) = k2_tex_4(sK3,u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131708,c_116034]) ).
tcf(c_139583,plain,
( ( k1_struct_0(sK3,u1_struct_0(sK10(sK3))) = k1_tarski(u1_struct_0(sK10(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131708,c_115761]) ).
tcf(c_139584,plain,
( r1_tarski(u1_struct_0(sK10(sK3)),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_131708,c_114680]) ).
tcf(c_139717,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_131773,c_301]) ).
tcf(c_139718,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(sK14(sK3)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK3)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_131773,c_158]) ).
tcf(c_139719,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK14(sK3)),X0)
| r1_tarski(u1_struct_0(sK14(sK3)),sK7(X0,u1_struct_0(sK14(sK3))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK3)),X0) ),
inference(superposition,[status(thm)],[c_131773,c_155]) ).
tcf(c_139720,plain,
! [X0: $i] :
( v1_tsp_2(u1_struct_0(sK14(sK3)),X0)
| v1_tsp_1(sK7(X0,u1_struct_0(sK14(sK3))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK3)),X0) ),
inference(superposition,[status(thm)],[c_131773,c_154]) ).
tcf(c_139721,plain,
! [X0: $i] :
( v1_tsp_1(u1_struct_0(sK14(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_131773,c_157]) ).
tcf(c_139722,plain,
( ( k1_struct_0(sK20,u1_struct_0(sK14(sK3))) = k1_tarski(u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_131773,c_6743]) ).
tcf(c_139723,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131773,c_116010]) ).
tcf(c_139724,plain,
( r1_tarski(u1_struct_0(sK14(sK3)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131773,c_114679]) ).
tcf(c_139725,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131773,c_115716]) ).
tcf(c_139726,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK2) ),
inference(superposition,[status(thm)],[c_131773,c_116313]) ).
tcf(c_139727,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK3))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131773,c_114117]) ).
tcf(c_139728,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,u1_struct_0(sK14(sK3))) = k1_funct_1(sK4,u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131773,c_116408]) ).
tcf(c_139729,plain,
( ( k4_tex_4(sK2,u1_struct_0(sK14(sK3))) = k2_tex_4(sK2,u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131773,c_116002]) ).
tcf(c_139730,plain,
( ( k1_struct_0(sK2,u1_struct_0(sK14(sK3))) = k1_tarski(u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131773,c_115708]) ).
tcf(c_139731,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,u1_struct_0(sK14(sK3))))) = k2_tex_4(sK2,u1_struct_0(sK14(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,u1_struct_0(sK14(sK3))),k4_tex_4(sK2,u1_struct_0(sK14(sK3)))) = k1_struct_0(sK2,u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_131773,c_114071]) ).
tcf(c_139735,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3) ),
inference(superposition,[status(thm)],[c_131773,c_116308]) ).
tcf(c_139736,plain,
( ( k4_tex_4(sK3,u1_struct_0(sK14(sK3))) = k2_tex_4(sK3,u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131773,c_116034]) ).
tcf(c_139737,plain,
( ( k1_struct_0(sK3,u1_struct_0(sK14(sK3))) = k1_tarski(u1_struct_0(sK14(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_131773,c_115761]) ).
tcf(c_139738,plain,
( r1_tarski(u1_struct_0(sK14(sK3)),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_131773,c_114680]) ).
tcf(c_139941,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_134038,c_301]) ).
tcf(c_139942,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,iPr_def_30) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k2_tex_4(sK3,iPr_def_30))
| ~ v1_tsp_1(k2_tex_4(sK3,iPr_def_30),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_134038,c_158]) ).
tcf(c_139943,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK3,iPr_def_30),X0)
| r1_tarski(k2_tex_4(sK3,iPr_def_30),sK7(X0,k2_tex_4(sK3,iPr_def_30)))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK3,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_134038,c_155]) ).
tcf(c_139944,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK3,iPr_def_30),X0)
| v1_tsp_1(sK7(X0,k2_tex_4(sK3,iPr_def_30)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK3,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_134038,c_154]) ).
tcf(c_139945,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_134038,c_157]) ).
tcf(c_139946,plain,
( ( k1_struct_0(sK20,k2_tex_4(sK3,iPr_def_30)) = k1_tarski(k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_134038,c_6743]) ).
tcf(c_139947,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_134038,c_116010]) ).
tcf(c_139948,plain,
( r1_tarski(k2_tex_4(sK3,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_134038,c_114679]) ).
tcf(c_139949,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) = k1_tarski(sK5(sK2,k2_tex_4(sK3,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_134038,c_115716]) ).
tcf(c_139950,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_134038,c_116313]) ).
tcf(c_139951,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_134038,c_114117]) ).
tcf(c_139952,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k2_tex_4(sK3,iPr_def_30)) = k1_funct_1(sK4,k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_134038,c_116408]) ).
tcf(c_139953,plain,
( ( k4_tex_4(sK2,k2_tex_4(sK3,iPr_def_30)) = k2_tex_4(sK2,k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_134038,c_116002]) ).
tcf(c_139954,plain,
( ( k1_struct_0(sK2,k2_tex_4(sK3,iPr_def_30)) = k1_tarski(k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_134038,c_115708]) ).
tcf(c_139955,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k2_tex_4(sK3,iPr_def_30)))) = k2_tex_4(sK2,k2_tex_4(sK3,iPr_def_30)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k2_tex_4(sK3,iPr_def_30)),k4_tex_4(sK2,k2_tex_4(sK3,iPr_def_30))) = k1_struct_0(sK2,k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_134038,c_114071]) ).
tcf(c_139959,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK3) ),
inference(superposition,[status(thm)],[c_134038,c_116308]) ).
tcf(c_139960,plain,
( ( k4_tex_4(sK3,k2_tex_4(sK3,iPr_def_30)) = k2_tex_4(sK3,k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_134038,c_116034]) ).
tcf(c_139961,plain,
( ( k1_struct_0(sK3,k2_tex_4(sK3,iPr_def_30)) = k1_tarski(k2_tex_4(sK3,iPr_def_30)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_134038,c_115761]) ).
tcf(c_139962,plain,
( r1_tarski(k2_tex_4(sK3,iPr_def_30),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_134038,c_114680]) ).
tcf(c_140193,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_135485,c_301]) ).
tcf(c_140194,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,iPr_def_30) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k2_tex_4(sK2,iPr_def_30))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_135485,c_158]) ).
tcf(c_140195,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),X0)
| r1_tarski(k2_tex_4(sK2,iPr_def_30),sK7(X0,k2_tex_4(sK2,iPr_def_30)))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_135485,c_155]) ).
tcf(c_140196,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),X0)
| v1_tsp_1(sK7(X0,k2_tex_4(sK2,iPr_def_30)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_135485,c_154]) ).
tcf(c_140197,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_135485,c_157]) ).
tcf(c_140198,plain,
( ( k1_struct_0(sK20,k2_tex_4(sK2,iPr_def_30)) = k1_tarski(k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_135485,c_6743]) ).
tcf(c_140202,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_135485,c_116313]) ).
tcf(c_140204,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k2_tex_4(sK2,iPr_def_30)) = k1_funct_1(sK4,k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_135485,c_116408]) ).
tcf(c_140205,plain,
( ( k4_tex_4(sK2,k2_tex_4(sK2,iPr_def_30)) = k2_tex_4(sK2,k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_135485,c_116002]) ).
tcf(c_140206,plain,
( ( k1_struct_0(sK2,k2_tex_4(sK2,iPr_def_30)) = k1_tarski(k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_135485,c_115708]) ).
tcf(c_140207,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k2_tex_4(sK2,iPr_def_30)))) = k2_tex_4(sK2,k2_tex_4(sK2,iPr_def_30)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k2_tex_4(sK2,iPr_def_30)),k4_tex_4(sK2,k2_tex_4(sK2,iPr_def_30))) = k1_struct_0(sK2,k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_135485,c_114071]) ).
tcf(c_140208,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK2,iPr_def_30))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK2,iPr_def_30))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135485,c_116042]) ).
tcf(c_140209,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK2,iPr_def_30))) = k1_tarski(sK5(sK3,k2_tex_4(sK2,iPr_def_30))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135485,c_115769]) ).
tcf(c_140210,plain,
( r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135485,c_114678]) ).
tcf(c_140211,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK3) ),
inference(superposition,[status(thm)],[c_135485,c_116308]) ).
tcf(c_140212,plain,
( ( k4_tex_4(sK3,k2_tex_4(sK2,iPr_def_30)) = k2_tex_4(sK3,k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_135485,c_116034]) ).
tcf(c_140213,plain,
( ( k1_struct_0(sK3,k2_tex_4(sK2,iPr_def_30)) = k1_tarski(k2_tex_4(sK2,iPr_def_30)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_135485,c_115761]) ).
tcf(c_140214,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,iPr_def_30))) = k2_tex_4(sK2,iPr_def_30) )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_135485,c_114051]) ).
tcf(c_140215,plain,
( r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_135485,c_114680]) ).
tcf(c_140245,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,iPr_def_30))) = k2_tex_4(sK2,iPr_def_30) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140214,c_122454]) ).
tcf(c_140314,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_123142]) ).
tcf(c_140316,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123142]) ).
tcf(c_140317,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123142]) ).
tcf(c_140318,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123142]) ).
tcf(c_140319,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123142]) ).
tcf(c_140348,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_140316,c_34033,c_112469]) ).
tcf(c_140360,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(k1_xboole_0,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_140348,c_152]) ).
tcf(c_140361,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_140348,c_61]) ).
tcf(c_140363,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_140348,c_292]) ).
tcf(c_140364,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_140348,c_8259]) ).
tcf(c_140365,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_140348,c_8246]) ).
tcf(c_140446,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_123189]) ).
tcf(c_140448,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123189]) ).
tcf(c_140449,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123189]) ).
tcf(c_140450,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123189]) ).
tcf(c_140451,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123189]) ).
tcf(c_140480,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_140448,c_33903,c_112496]) ).
tcf(c_140492,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_xboole_0,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_140480,c_152]) ).
tcf(c_140493,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_140480,c_61]) ).
tcf(c_140495,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_140480,c_292]) ).
tcf(c_140496,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_140480,c_8259]) ).
tcf(c_140497,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_140480,c_8246]) ).
tcf(c_140640,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_137612,c_301]) ).
tcf(c_140641,plain,
! [X0: $i,X1: $i] :
( ( k1_tarski(sK12(iPr_def_20)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_20)))
| ~ v1_tsp_1(k1_tarski(sK12(iPr_def_20)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_137612,c_158]) ).
tcf(c_140642,plain,
! [X0: $i] :
( v1_tsp_2(k1_tarski(sK12(iPr_def_20)),X0)
| r1_tarski(k1_tarski(sK12(iPr_def_20)),sK7(X0,k1_tarski(sK12(iPr_def_20))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_tarski(sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_137612,c_155]) ).
tcf(c_140643,plain,
! [X0: $i] :
( v1_tsp_2(k1_tarski(sK12(iPr_def_20)),X0)
| v1_tsp_1(sK7(X0,k1_tarski(sK12(iPr_def_20))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_tarski(sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_137612,c_154]) ).
tcf(c_140644,plain,
! [X0: $i] :
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_137612,c_157]) ).
tcf(c_140645,plain,
( ( k1_struct_0(sK20,k1_tarski(sK12(iPr_def_20))) = k1_tarski(k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_137612,c_6743]) ).
tcf(c_140649,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_137612,c_116313]) ).
tcf(c_140651,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(sK12(iPr_def_20))) = k1_funct_1(sK4,k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137612,c_116408]) ).
tcf(c_140652,plain,
( ( k4_tex_4(sK2,k1_tarski(sK12(iPr_def_20))) = k2_tex_4(sK2,k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137612,c_116002]) ).
tcf(c_140653,plain,
( ( k1_struct_0(sK2,k1_tarski(sK12(iPr_def_20))) = k1_tarski(k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137612,c_115708]) ).
tcf(c_140654,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(sK12(iPr_def_20))))) = k2_tex_4(sK2,k1_tarski(sK12(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(sK12(iPr_def_20))),k4_tex_4(sK2,k1_tarski(sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137612,c_114071]) ).
tcf(c_140655,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(sK12(iPr_def_20)))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_137612,c_116042]) ).
tcf(c_140656,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(sK12(iPr_def_20)))) = k1_tarski(sK5(sK3,k1_tarski(sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_137612,c_115769]) ).
tcf(c_140657,plain,
( r1_tarski(k1_tarski(sK12(iPr_def_20)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_137612,c_114678]) ).
tcf(c_140658,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK3) ),
inference(superposition,[status(thm)],[c_137612,c_116308]) ).
tcf(c_140659,plain,
( ( k4_tex_4(sK3,k1_tarski(sK12(iPr_def_20))) = k2_tex_4(sK3,k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_137612,c_116034]) ).
tcf(c_140660,plain,
( ( k1_struct_0(sK3,k1_tarski(sK12(iPr_def_20))) = k1_tarski(k1_tarski(sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_137612,c_115761]) ).
tcf(c_140661,plain,
( r1_tarski(k1_tarski(sK12(iPr_def_20)),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_137612,c_114680]) ).
tcf(c_140811,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_137795,c_301]) ).
tcf(c_140812,plain,
! [X0: $i,X1: $i] :
( ( k1_tarski(sK12(iPr_def_18)) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_18)))
| ~ v1_tsp_1(k1_tarski(sK12(iPr_def_18)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_137795,c_158]) ).
tcf(c_140813,plain,
! [X0: $i] :
( v1_tsp_2(k1_tarski(sK12(iPr_def_18)),X0)
| r1_tarski(k1_tarski(sK12(iPr_def_18)),sK7(X0,k1_tarski(sK12(iPr_def_18))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_tarski(sK12(iPr_def_18)),X0) ),
inference(superposition,[status(thm)],[c_137795,c_155]) ).
tcf(c_140814,plain,
! [X0: $i] :
( v1_tsp_2(k1_tarski(sK12(iPr_def_18)),X0)
| v1_tsp_1(sK7(X0,k1_tarski(sK12(iPr_def_18))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_tarski(sK12(iPr_def_18)),X0) ),
inference(superposition,[status(thm)],[c_137795,c_154]) ).
tcf(c_140815,plain,
! [X0: $i] :
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_137795,c_157]) ).
tcf(c_140816,plain,
( ( k1_struct_0(sK20,k1_tarski(sK12(iPr_def_18))) = k1_tarski(k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_137795,c_6743]) ).
tcf(c_140817,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_137795,c_116010]) ).
tcf(c_140818,plain,
( r1_tarski(k1_tarski(sK12(iPr_def_18)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_137795,c_114679]) ).
tcf(c_140819,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) = k1_tarski(sK5(sK2,k1_tarski(sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_137795,c_115716]) ).
tcf(c_140820,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK2) ),
inference(superposition,[status(thm)],[c_137795,c_116313]) ).
tcf(c_140821,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))),k4_tex_4(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18))))) = k1_struct_0(sK2,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_137795,c_114117]) ).
tcf(c_140822,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(sK12(iPr_def_18))) = k1_funct_1(sK4,k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137795,c_116408]) ).
tcf(c_140823,plain,
( ( k4_tex_4(sK2,k1_tarski(sK12(iPr_def_18))) = k2_tex_4(sK2,k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137795,c_116002]) ).
tcf(c_140824,plain,
( ( k1_struct_0(sK2,k1_tarski(sK12(iPr_def_18))) = k1_tarski(k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137795,c_115708]) ).
tcf(c_140825,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(sK12(iPr_def_18))))) = k2_tex_4(sK2,k1_tarski(sK12(iPr_def_18))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(sK12(iPr_def_18))),k4_tex_4(sK2,k1_tarski(sK12(iPr_def_18)))) = k1_struct_0(sK2,k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_137795,c_114071]) ).
tcf(c_140829,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK3) ),
inference(superposition,[status(thm)],[c_137795,c_116308]) ).
tcf(c_140830,plain,
( ( k4_tex_4(sK3,k1_tarski(sK12(iPr_def_18))) = k2_tex_4(sK3,k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_137795,c_116034]) ).
tcf(c_140831,plain,
( ( k1_struct_0(sK3,k1_tarski(sK12(iPr_def_18))) = k1_tarski(k1_tarski(sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_137795,c_115761]) ).
tcf(c_140832,plain,
( r1_tarski(k1_tarski(sK12(iPr_def_18)),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_137795,c_114680]) ).
tcf(c_141046,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_123243]) ).
tcf(c_141048,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123243]) ).
tcf(c_141049,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123243]) ).
tcf(c_141050,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123243]) ).
tcf(c_141051,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123243]) ).
tcf(c_141080,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_141048,c_34771,c_112531]) ).
tcf(c_141092,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(k1_xboole_0,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_141080,c_152]) ).
tcf(c_141093,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_29)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_141080,c_61]) ).
tcf(c_141095,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141080,c_292]) ).
tcf(c_141096,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_141080,c_8259]) ).
tcf(c_141097,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_141080,c_8246]) ).
tcf(c_141164,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_123462]) ).
tcf(c_141166,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123462]) ).
tcf(c_141167,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(iPr_def_25,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123462]) ).
tcf(c_141168,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123462]) ).
tcf(c_141169,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123462]) ).
tcf(c_141230,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_141166,c_34033,c_113060]) ).
tcf(c_141242,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_25,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_141230,c_152]) ).
tcf(c_141243,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_25) ),
inference(superposition,[status(thm)],[c_141230,c_61]) ).
tcf(c_141245,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141230,c_292]) ).
tcf(c_141246,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,iPr_def_25)) = k1_struct_0(sK3,iPr_def_25) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_141230,c_8259]) ).
tcf(c_141247,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,iPr_def_25)) = k1_struct_0(sK2,iPr_def_25) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_141230,c_8246]) ).
tcf(c_141387,plain,
( r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116009,c_121717]) ).
tcf(c_141388,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116009,c_122086]) ).
tcf(c_141389,plain,
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116009,c_114881]) ).
tcf(c_141390,plain,
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116009,c_118438]) ).
tcf(c_141391,plain,
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_116009,c_118401]) ).
tcf(c_141392,plain,
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),sK7(sK2,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116009,c_117916]) ).
tcf(c_141393,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_116009,c_117899]) ).
tcf(c_141394,plain,
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116009,c_117874]) ).
tcf(c_141395,plain,
( v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_116009,c_116645]) ).
tcf(c_141396,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116009,c_115533]) ).
tcf(c_141397,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116009,c_115532]) ).
tcf(c_141398,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116009,c_115880]) ).
tcf(c_141399,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116009,c_115864]) ).
tcf(c_141400,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116009,c_115537]) ).
tcf(c_141401,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116009,c_115536]) ).
tcf(c_141402,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_116009,c_115645]) ).
tcf(c_141403,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116009,c_115528]) ).
tcf(c_141404,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116009,c_115530]) ).
tcf(c_141405,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116009,c_114473]) ).
tcf(c_141406,plain,
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116009,c_114453]) ).
tcf(c_141407,plain,
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116009,c_114316]) ).
tcf(c_141408,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116009,c_114352]) ).
tcf(c_141409,plain,
( ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116009,c_113927]) ).
tcf(c_141410,plain,
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_116009,c_113903]) ).
tcf(c_141411,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116009,c_8275]) ).
tcf(c_141412,plain,
~ v1_xboole_0(k2_tex_4(sK2,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_141408,c_173]) ).
tcf(c_141413,plain,
m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_141406,c_173]) ).
tcf(c_141414,plain,
r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_141389,c_173]) ).
tcf(c_141415,plain,
r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_141387,c_173]) ).
tcf(c_141416,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_141388,c_173]) ).
tcf(c_141417,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141404,c_173]) ).
tcf(c_141420,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_141411,c_116415]) ).
tcf(c_141421,plain,
r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_141420,c_173]) ).
tcf(c_141422,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_141407,c_116415]) ).
tcf(c_141423,plain,
m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_141422,c_173]) ).
tcf(c_141424,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_141405,c_116415]) ).
tcf(c_141425,plain,
~ r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_141424,c_173]) ).
tcf(c_141426,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(light_normalisation,[status(thm)],[c_141395,c_116009]) ).
tcf(c_141427,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141426,c_173]) ).
tcf(c_141430,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(light_normalisation,[status(thm)],[c_141403,c_116415]) ).
tcf(c_141431,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141430,c_173]) ).
tcf(c_141435,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_141394,c_116009]) ).
tcf(c_141436,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141435,c_173]) ).
tcf(c_141440,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(light_normalisation,[status(thm)],[c_141402,c_116415]) ).
tcf(c_141441,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141440,c_173]) ).
tcf(c_141445,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_141399,c_116415]) ).
tcf(c_141446,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141445,c_173]) ).
tcf(c_141450,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_141398,c_116415]) ).
tcf(c_141451,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141450,c_173]) ).
tcf(c_141455,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_141393,c_116009,c_116415]) ).
tcf(c_141456,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141455,c_173]) ).
tcf(c_141461,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(light_normalisation,[status(thm)],[c_141410,c_116009,c_116415]) ).
tcf(c_141462,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141461,c_173]) ).
tcf(c_141465,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_141401,c_116415]) ).
tcf(c_141466,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141465,c_173]) ).
tcf(c_141470,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_141400,c_116415]) ).
tcf(c_141471,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141470,c_173]) ).
tcf(c_141475,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(light_normalisation,[status(thm)],[c_141397,c_116415]) ).
tcf(c_141476,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141475,c_173]) ).
tcf(c_141481,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(light_normalisation,[status(thm)],[c_141396,c_116415]) ).
tcf(c_141482,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141481,c_173]) ).
tcf(c_141487,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_141409,c_116009,c_116415]) ).
tcf(c_141488,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,sK12(iPr_def_20)),k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141487,c_173]) ).
tcf(c_141492,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(light_normalisation,[status(thm)],[c_141391,c_116009,c_116415]) ).
tcf(c_141493,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141492,c_173]) ).
tcf(c_141497,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),sK7(sK2,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_141392,c_116009,c_116415]) ).
tcf(c_141498,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),sK7(sK2,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141497,c_173]) ).
tcf(c_141505,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_141390,c_116009,c_116415]) ).
tcf(c_141506,plain,
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141505,c_173]) ).
tcf(c_141705,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_141413,c_116010]) ).
tcf(c_141707,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_141413,c_115716]) ).
tcf(c_141709,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20))))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_141413,c_114117]) ).
tcf(c_141738,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_141414,c_152]) ).
tcf(c_141742,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_struct_0(sK3,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_141414,c_8259]) ).
tcf(c_141743,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_struct_0(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141414,c_8246]) ).
tcf(c_141752,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_141415,c_117091]) ).
tcf(c_141756,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141752,c_120337,c_141413]) ).
tcf(c_141760,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_141421,c_152]) ).
tcf(c_141766,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_141421,c_8245]) ).
tcf(c_141769,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_141766,c_173]) ).
tcf(c_141863,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_123510]) ).
tcf(c_141865,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123510]) ).
tcf(c_141866,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_24,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123510]) ).
tcf(c_141867,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123510]) ).
tcf(c_141868,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123510]) ).
tcf(c_141917,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_141865,c_33903,c_113077]) ).
tcf(c_141929,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_24,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_141917,c_152]) ).
tcf(c_141930,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_24) ),
inference(superposition,[status(thm)],[c_141917,c_61]) ).
tcf(c_141932,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141917,c_292]) ).
tcf(c_141933,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_24)) = k1_struct_0(sK3,iPr_def_24) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_141917,c_8259]) ).
tcf(c_141934,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_24)) = k1_struct_0(sK2,iPr_def_24) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_141917,c_8246]) ).
tcf(c_141984,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_123558]) ).
tcf(c_141986,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123558]) ).
tcf(c_141987,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_23,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123558]) ).
tcf(c_141988,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123558]) ).
tcf(c_141989,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123558]) ).
tcf(c_142018,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_141986,c_33903,c_113094]) ).
tcf(c_142030,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_23,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_142018,c_152]) ).
tcf(c_142031,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_142018,c_61]) ).
tcf(c_142033,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142018,c_292]) ).
tcf(c_142034,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_23)) = k1_struct_0(sK3,iPr_def_23) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_142018,c_8259]) ).
tcf(c_142035,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_23)) = k1_struct_0(sK2,iPr_def_23) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142018,c_8246]) ).
tcf(c_142083,plain,
( r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_116041,c_121406]) ).
tcf(c_142084,plain,
( ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116041,c_124185]) ).
tcf(c_142085,plain,
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_116041,c_115986]) ).
tcf(c_142086,plain,
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_116041,c_115978]) ).
tcf(c_142087,plain,
( ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116041,c_115087]) ).
tcf(c_142088,plain,
~ v1_xboole_0(k2_tex_4(sK3,sK12(iPr_def_18))),
inference(forward_subsumption_resolution,[status(thm)],[c_142087,c_173]) ).
tcf(c_142089,plain,
m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_142086,c_173]) ).
tcf(c_142090,plain,
r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_142085,c_173]) ).
tcf(c_142091,plain,
r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_142083,c_173]) ).
tcf(c_142092,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,sK12(iPr_def_18))),
inference(forward_subsumption_resolution,[status(thm)],[c_142084,c_173]) ).
tcf(c_142102,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) ) ),
inference(superposition,[status(thm)],[c_142089,c_116042]) ).
tcf(c_142103,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_tarski(sK5(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) ) ),
inference(superposition,[status(thm)],[c_142089,c_115769]) ).
tcf(c_142105,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK3) ),
inference(superposition,[status(thm)],[c_142089,c_116308]) ).
tcf(c_142118,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_142090,c_152]) ).
tcf(c_142122,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_struct_0(sK3,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_142090,c_8259]) ).
tcf(c_142123,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_struct_0(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142090,c_8246]) ).
tcf(c_142146,plain,
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142091,c_117091]) ).
tcf(c_142150,plain,
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142146,c_116663,c_8268]) ).
tcf(c_142171,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_123768]) ).
tcf(c_142173,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123768]) ).
tcf(c_142174,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_22,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123768]) ).
tcf(c_142175,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123768]) ).
tcf(c_142176,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123768]) ).
tcf(c_142215,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_142173,c_33903,c_113111]) ).
tcf(c_142227,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_22,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_142215,c_152]) ).
tcf(c_142228,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_22) ),
inference(superposition,[status(thm)],[c_142215,c_61]) ).
tcf(c_142230,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142215,c_292]) ).
tcf(c_142231,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_22)) = k1_struct_0(sK3,iPr_def_22) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_142215,c_8259]) ).
tcf(c_142232,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_22)) = k1_struct_0(sK2,iPr_def_22) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142215,c_8246]) ).
tcf(c_142316,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_123814]) ).
tcf(c_142318,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_123814]) ).
tcf(c_142319,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(iPr_def_17,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_123814]) ).
tcf(c_142320,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_123814]) ).
tcf(c_142321,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_123814]) ).
tcf(c_142365,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_142318,c_34033,c_113128]) ).
tcf(c_142377,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_17,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_142365,c_152]) ).
tcf(c_142378,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_142365,c_61]) ).
tcf(c_142380,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142365,c_292]) ).
tcf(c_142381,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,iPr_def_17)) = k1_struct_0(sK3,iPr_def_17) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_142365,c_8259]) ).
tcf(c_142382,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,iPr_def_17)) = k1_struct_0(sK2,iPr_def_17) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142365,c_8246]) ).
tcf(c_142439,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_124034]) ).
tcf(c_142441,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_124034]) ).
tcf(c_142442,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(iPr_def_31,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_124034]) ).
tcf(c_142443,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_124034]) ).
tcf(c_142444,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_124034]) ).
tcf(c_142482,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_142441,c_34033,c_113145]) ).
tcf(c_142494,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_31,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_142482,c_152]) ).
tcf(c_142495,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_31) ),
inference(superposition,[status(thm)],[c_142482,c_61]) ).
tcf(c_142497,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142482,c_292]) ).
tcf(c_142498,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,iPr_def_31)) = k1_struct_0(sK3,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_142482,c_8259]) ).
tcf(c_142499,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,iPr_def_31)) = k1_struct_0(sK2,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142482,c_8246]) ).
tcf(c_142535,plain,
! [X0: $i] :
( r2_hidden(sK23(sK20),X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_114498,c_117529]) ).
tcf(c_142537,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| r2_hidden(sK23(sK20),sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_117529]) ).
tcf(c_142538,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| r2_hidden(sK23(sK20),sK7(sK3,k1_zfmisc_1(u1_struct_0(sK20))))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_117529]) ).
tcf(c_142562,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_152]) ).
tcf(c_142563,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,sK12(X1)) ),
inference(superposition,[status(thm)],[c_119168,c_61]) ).
tcf(c_142564,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_305]) ).
tcf(c_142565,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK12(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_292]) ).
tcf(c_142566,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,sK12(X0))) = k1_struct_0(sK3,sK12(X0)) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_8259]) ).
tcf(c_142567,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,sK12(X0))) = k1_struct_0(sK2,sK12(X0)) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_8246]) ).
tcf(c_142568,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( k2_tex_4(sK3,sK12(X0)) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(sK12(X0),iPr_def_18)
| ~ r1_tarski(X0,k2_tex_4(sK3,X1)) ),
inference(superposition,[status(thm)],[c_119168,c_8258]) ).
tcf(c_142569,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( k2_tex_4(sK2,sK12(X0)) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(sK12(X0),iPr_def_20)
| ~ r1_tarski(X0,k2_tex_4(sK2,X1)) ),
inference(superposition,[status(thm)],[c_119168,c_8245]) ).
tcf(c_142570,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK3)
| ~ m1_subset_1(sK12(X0),iPr_def_19)
| ~ r1_tarski(X0,sK5(sK3,sK12(X0))) ),
inference(superposition,[status(thm)],[c_119168,c_114471]) ).
tcf(c_142571,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK2)
| ~ m1_subset_1(sK12(X0),iPr_def_21)
| ~ r1_tarski(X0,sK5(sK2,sK12(X0))) ),
inference(superposition,[status(thm)],[c_119168,c_114472]) ).
tcf(c_142572,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK12(X0),X1)
| ~ r1_tarski(X0,sK6(sK12(X0),X1)) ),
inference(superposition,[status(thm)],[c_119168,c_114497]) ).
tcf(c_142573,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X1),sK12(X0))
| ~ r1_tarski(X0,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_119168,c_115529]) ).
tcf(c_142574,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_119168,c_128064]) ).
tcf(c_142575,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_119168,c_127905]) ).
tcf(c_142576,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK12(X0))
| ~ r1_tarski(X0,sK12(sK12(X0))) ),
inference(superposition,[status(thm)],[c_119168,c_119169]) ).
tcf(c_142577,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_119168,c_125883]) ).
tcf(c_142578,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_119168,c_125947]) ).
tcf(c_142580,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_119168,c_126685]) ).
tcf(c_142581,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_119168,c_126762]) ).
tcf(c_142582,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_119168,c_126825]) ).
tcf(c_142583,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_119168,c_126913]) ).
tcf(c_142584,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_119168,c_127040]) ).
tcf(c_142585,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_119168,c_127267]) ).
tcf(c_142586,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK12(X0))
| ~ r1_tarski(X0,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_119168,c_127375]) ).
tcf(c_142587,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_119168,c_127835]) ).
tcf(c_142588,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK12(X0))
| ~ r1_tarski(X0,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_119168,c_128180]) ).
tcf(c_142841,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK11(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_142564]) ).
tcf(c_142842,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK13(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_142564]) ).
tcf(c_142843,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_114769,c_142564]) ).
tcf(c_142844,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115071,c_142564]) ).
tcf(c_142846,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tex_4(sK3,X0))
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_142564]) ).
tcf(c_142847,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_142564]) ).
tcf(c_142848,plain,
! [X0: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114667,c_142564]) ).
tcf(c_142850,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132626,c_142564]) ).
tcf(c_142851,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120927,c_142564]) ).
tcf(c_142852,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115010,c_142564]) ).
tcf(c_142853,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132652,c_142564]) ).
tcf(c_142854,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120961,c_142564]) ).
tcf(c_142855,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115177,c_142564]) ).
tcf(c_142856,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_115617,c_142564]) ).
tcf(c_142858,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132263,c_142564]) ).
tcf(c_142859,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120813,c_142564]) ).
tcf(c_142860,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115941,c_142564]) ).
tcf(c_142861,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132547,c_142564]) ).
tcf(c_142862,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120853,c_142564]) ).
tcf(c_142863,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_116130,c_142564]) ).
tcf(c_142864,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132573,c_142564]) ).
tcf(c_142865,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120879,c_142564]) ).
tcf(c_142866,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_116149,c_142564]) ).
tcf(c_142867,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116849,c_142564]) ).
tcf(c_142868,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116843,c_142564]) ).
tcf(c_142869,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_22)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114612,c_142564]) ).
tcf(c_142870,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_23)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114607,c_142564]) ).
tcf(c_142871,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_142564]) ).
tcf(c_142872,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_24)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114602,c_142564]) ).
tcf(c_143029,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142872,c_8254]) ).
tcf(c_143034,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142870,c_8252]) ).
tcf(c_143039,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142869,c_8250]) ).
tcf(c_143333,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_19))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_120199]) ).
tcf(c_143334,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK3)
| r2_hidden(X0,sK7(sK3,iPr_def_19))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_120199]) ).
tcf(c_143352,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_142848,c_306]) ).
tcf(c_143353,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(X0)) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_142848,c_304]) ).
tcf(c_143379,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_143333,c_152]) ).
tcf(c_143380,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_143333,c_61]) ).
tcf(c_143381,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_143333,c_305]) ).
tcf(c_143382,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_19))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143333,c_292]) ).
tcf(c_143383,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_19),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_143333,c_8259]) ).
tcf(c_143384,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_143333,c_8246]) ).
tcf(c_143385,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(X0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_143333,c_150]) ).
tcf(c_143386,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_143333,c_114474]) ).
tcf(c_143387,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_143333,c_114475]) ).
tcf(c_143447,plain,
! [X0: $i] :
( r2_hidden(sK23(sK20),X0)
| v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),X0) ),
inference(superposition,[status(thm)],[c_142537,c_152]) ).
tcf(c_143448,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),sK23(sK20)) ),
inference(superposition,[status(thm)],[c_142537,c_61]) ).
tcf(c_143449,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_142537,c_305]) ).
tcf(c_143450,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| m1_subset_1(sK23(sK20),sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))))
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142537,c_292]) ).
tcf(c_143451,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),k4_tex_4(sK3,sK23(sK20))) = k1_struct_0(sK3,sK23(sK20)) )
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_142537,c_8259]) ).
tcf(c_143452,plain,
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),k4_tex_4(sK2,sK23(sK20))) = k1_struct_0(sK2,sK23(sK20)) )
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_142537,c_8246]) ).
tcf(c_143509,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_19))
| r2_hidden(X0,sK7(sK2,iPr_def_19))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143382,c_299]) ).
tcf(c_143526,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_124282]) ).
tcf(c_143528,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_124282]) ).
tcf(c_143529,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(iPr_def_18,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_124282]) ).
tcf(c_143530,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_124282]) ).
tcf(c_143531,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_124282]) ).
tcf(c_143565,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_143528,c_34033,c_113549]) ).
tcf(c_143577,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(iPr_def_18,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_143565,c_152]) ).
tcf(c_143578,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_143565,c_61]) ).
tcf(c_143580,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143565,c_292]) ).
tcf(c_143581,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,iPr_def_18)) = k1_struct_0(sK3,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_143565,c_8259]) ).
tcf(c_143582,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,iPr_def_18)) = k1_struct_0(sK2,iPr_def_18) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_143565,c_8246]) ).
tcf(c_143635,plain,
sK12(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_219,c_143353]) ).
tcf(c_143636,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_143353]) ).
tcf(c_143637,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK12(k1_zfmisc_1(X0)))) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_142848,c_143353]) ).
tcf(c_143642,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),X0) ),
inference(superposition,[status(thm)],[c_143635,c_119168]) ).
tcf(c_143643,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ r2_hidden(k1_zfmisc_1(k1_xboole_0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_143635,c_119169]) ).
tcf(c_143644,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_143635,c_114809]) ).
tcf(c_143645,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)),
inference(superposition,[status(thm)],[c_143635,c_173]) ).
tcf(c_143648,plain,
r1_tarski(k1_xboole_0,k1_xboole_0),
inference(superposition,[status(thm)],[c_143635,c_114667]) ).
tcf(c_143649,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143642,c_186]) ).
tcf(c_143660,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_21))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_120466]) ).
tcf(c_143661,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK3)
| r2_hidden(X0,sK7(sK3,iPr_def_21))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_120466]) ).
tcf(c_143680,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_29))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_121159]) ).
tcf(c_143681,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK3)
| r2_hidden(X0,sK7(sK3,iPr_def_29))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_121159]) ).
tcf(c_143783,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_143660,c_152]) ).
tcf(c_143784,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_143660,c_61]) ).
tcf(c_143785,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_143660,c_305]) ).
tcf(c_143786,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_21))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143660,c_292]) ).
tcf(c_143787,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_143660,c_8259]) ).
tcf(c_143788,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_143660,c_8246]) ).
tcf(c_143789,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(X0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_143660,c_150]) ).
tcf(c_143790,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_143660,c_114474]) ).
tcf(c_143791,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_143660,c_114475]) ).
tcf(c_143917,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_143680,c_152]) ).
tcf(c_143918,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_143680,c_61]) ).
tcf(c_143919,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_143680,c_305]) ).
tcf(c_143920,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_29))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143680,c_292]) ).
tcf(c_143921,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_29),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_143680,c_8259]) ).
tcf(c_143922,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_143680,c_8246]) ).
tcf(c_143923,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(X0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_143680,c_150]) ).
tcf(c_143924,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_143680,c_114474]) ).
tcf(c_143925,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_143680,c_114475]) ).
tcf(c_144025,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_21))
| r2_hidden(X0,sK7(sK2,iPr_def_21))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143786,c_299]) ).
tcf(c_144044,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_29))
| r2_hidden(X0,sK7(sK2,iPr_def_29))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143920,c_299]) ).
tcf(c_144061,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_124331]) ).
tcf(c_144063,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_124331]) ).
tcf(c_144064,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_20,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_124331]) ).
tcf(c_144065,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_124331]) ).
tcf(c_144066,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_124331]) ).
tcf(c_144119,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_8226,c_136768]) ).
tcf(c_144120,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_8224,c_136768]) ).
tcf(c_144121,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_144120,c_8225]) ).
tcf(c_144122,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_144119,c_8227]) ).
tcf(c_144123,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_122520,c_128189]) ).
tcf(c_144125,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_122520,c_127914]) ).
tcf(c_144127,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_122520,c_127384]) ).
tcf(c_144128,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_122520,c_127276]) ).
tcf(c_144129,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_122520,c_127049]) ).
tcf(c_144130,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_122520,c_126922]) ).
tcf(c_144135,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_122520,c_125956]) ).
tcf(c_144137,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_122520,c_132457]) ).
tcf(c_144138,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122520,c_123330]) ).
tcf(c_144139,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122520,c_127185]) ).
tcf(c_144140,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_28)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),iPr_def_29) ),
inference(superposition,[status(thm)],[c_122520,c_121839]) ).
tcf(c_144141,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122520,c_121727]) ).
tcf(c_144142,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_122520,c_121402]) ).
tcf(c_144143,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122520,c_114887]) ).
tcf(c_144144,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30) = X0 )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122520,c_120313]) ).
tcf(c_144145,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_122520,c_115617]) ).
tcf(c_144146,plain,
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),sK7(sK2,sK7(sK2,k4_tex_4(sK2,iPr_def_30))))
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122520,c_117916]) ).
tcf(c_144147,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_122520,c_116655]) ).
tcf(c_144148,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK5(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122520,c_115537]) ).
tcf(c_144149,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),sK3)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK5(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122520,c_115536]) ).
tcf(c_144150,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122520,c_115531]) ).
tcf(c_144151,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122520,c_115276]) ).
tcf(c_144152,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122520,c_114473]) ).
tcf(c_144153,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),k4_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122520,c_114316]) ).
tcf(c_144154,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122520,c_114292]) ).
tcf(c_144155,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),k4_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_122520,c_8275]) ).
tcf(c_144156,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_122520,c_115645]) ).
tcf(c_144157,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122520,c_115529]) ).
tcf(c_144158,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_144154,c_122454]) ).
tcf(c_144159,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_144143,c_122454]) ).
tcf(c_144160,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_144138,c_122454]) ).
tcf(c_144164,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144137,c_122454]) ).
tcf(c_144167,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(light_normalisation,[status(thm)],[c_144151,c_122521]) ).
tcf(c_144169,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(light_normalisation,[status(thm)],[c_144150,c_122521]) ).
tcf(c_144170,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144169,c_122454]) ).
tcf(c_144173,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_144142,c_122521]) ).
tcf(c_144174,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144173,c_122454]) ).
tcf(c_144177,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_144141,c_122521]) ).
tcf(c_144178,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144177,c_122454]) ).
tcf(c_144181,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_28)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_144140,c_122521]) ).
tcf(c_144182,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_28)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_29) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144181,c_122454]) ).
tcf(c_144185,plain,
! [X0: $i] :
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_144157,c_122521]) ).
tcf(c_144186,plain,
! [X0: $i] :
( ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144185,c_122454]) ).
tcf(c_144189,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_144145,c_122521]) ).
tcf(c_144190,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144189,c_122454]) ).
tcf(c_144193,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK16(iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_144135,c_122521]) ).
tcf(c_144194,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK16(iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144193,c_122454]) ).
tcf(c_144201,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK17(sK3)) ),
inference(light_normalisation,[status(thm)],[c_144130,c_122521]) ).
tcf(c_144202,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK17(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144201,c_122454]) ).
tcf(c_144205,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK19(sK3)) ),
inference(light_normalisation,[status(thm)],[c_144129,c_122521]) ).
tcf(c_144206,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK19(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144205,c_122454]) ).
tcf(c_144209,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK25(sK3)) ),
inference(light_normalisation,[status(thm)],[c_144128,c_122521]) ).
tcf(c_144210,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK25(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144209,c_122454]) ).
tcf(c_144213,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK16(iPr_def_28)) ),
inference(light_normalisation,[status(thm)],[c_144127,c_122521]) ).
tcf(c_144214,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK16(iPr_def_28)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144213,c_122454]) ).
tcf(c_144217,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(iPr_def_19)) ),
inference(light_normalisation,[status(thm)],[c_144125,c_122521]) ).
tcf(c_144218,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(iPr_def_19)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144217,c_122454]) ).
tcf(c_144221,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(iPr_def_29)) ),
inference(light_normalisation,[status(thm)],[c_144123,c_122521]) ).
tcf(c_144222,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(iPr_def_29)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144221,c_122454]) ).
tcf(c_144225,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_144147,c_122520,c_122521]) ).
tcf(c_144226,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144225,c_122454]) ).
tcf(c_144236,plain,
( ( k1_funct_1(sK4,iPr_def_30) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_144139,c_122520,c_122521]) ).
tcf(c_144237,plain,
( ( k1_funct_1(sK4,iPr_def_30) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144236,c_122454]) ).
tcf(c_144244,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,iPr_def_30) = X0 )
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_144144,c_122520,c_122521]) ).
tcf(c_144245,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144244,c_122454]) ).
tcf(c_144381,plain,
k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_144158,c_116034]) ).
tcf(c_144382,plain,
k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_144158,c_115761]) ).
tcf(c_144387,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_18),X0)
| r1_tarski(sK6(iPr_def_19,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_124673]) ).
tcf(c_144388,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_20),X0)
| r1_tarski(sK6(iPr_def_21,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8227,c_124673]) ).
tcf(c_144389,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_28),X0)
| r1_tarski(sK6(iPr_def_29,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_124673]) ).
tcf(c_144390,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(sK6(k1_zfmisc_1(X0),X1))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_124673,c_142564]) ).
tcf(c_144391,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ( sK6(k1_zfmisc_1(X0),X1) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK6(k1_zfmisc_1(X0),X1),sK2)
| ~ m1_subset_1(sK6(k1_zfmisc_1(X0),X1),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124673,c_117091]) ).
tcf(c_144392,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_18),X0)
| ~ r2_hidden(iPr_def_19,sK6(k1_zfmisc_1(iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_124673,c_133077]) ).
tcf(c_144393,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_18),X0)
| r2_hidden(sK6(k1_zfmisc_1(iPr_def_18),X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124673,c_125044]) ).
tcf(c_144394,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_18),X0)
| m1_subset_1(sK6(k1_zfmisc_1(iPr_def_18),X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124673,c_114653]) ).
tcf(c_144395,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_20),X0)
| ~ r2_hidden(iPr_def_21,sK6(k1_zfmisc_1(iPr_def_20),X0)) ),
inference(superposition,[status(thm)],[c_124673,c_133078]) ).
tcf(c_144396,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_20),X0)
| r2_hidden(sK6(k1_zfmisc_1(iPr_def_20),X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124673,c_125045]) ).
tcf(c_144397,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_20),X0)
| m1_subset_1(sK6(k1_zfmisc_1(iPr_def_20),X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_124673,c_114654]) ).
tcf(c_144398,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_28),X0)
| ~ r2_hidden(iPr_def_29,sK6(k1_zfmisc_1(iPr_def_28),X0)) ),
inference(superposition,[status(thm)],[c_124673,c_133079]) ).
tcf(c_144399,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_28),X0)
| r2_hidden(sK6(k1_zfmisc_1(iPr_def_28),X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_124673,c_125046]) ).
tcf(c_144400,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_28),X0)
| m1_subset_1(sK6(k1_zfmisc_1(iPr_def_28),X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_124673,c_114655]) ).
tcf(c_144433,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK5(sK3,X0))
| ~ r1_tarski(X0,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115274,c_131210]) ).
tcf(c_144434,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK5(sK2,X0))
| ~ r1_tarski(X0,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115275,c_131210]) ).
tcf(c_144435,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_131210]) ).
tcf(c_144440,plain,
~ r1_tarski(iPr_def_29,sK13(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_116220,c_131210]) ).
tcf(c_144448,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118070,c_131210]) ).
tcf(c_144449,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118120,c_131210]) ).
tcf(c_144450,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118488,c_131210]) ).
tcf(c_144451,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118635,c_131210]) ).
tcf(c_144453,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK12(X0))
| ~ r1_tarski(X0,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_119168,c_131210]) ).
tcf(c_144458,plain,
( ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_126300,c_131210]) ).
tcf(c_144459,plain,
( ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_127743,c_131210]) ).
tcf(c_144460,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_131043,c_131210]) ).
tcf(c_144461,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_131131,c_131210]) ).
tcf(c_144510,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_144159,c_152]) ).
tcf(c_144514,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_144159,c_8259]) ).
tcf(c_144515,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144159,c_8246]) ).
tcf(c_144518,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_144515,c_116663,c_8268]) ).
tcf(c_144519,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_144514,c_144381,c_144382]) ).
tcf(c_144520,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144519,c_119983]) ).
tcf(c_144543,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_18),X0)
| ( sK6(k1_zfmisc_1(iPr_def_18),X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK6(iPr_def_19,X0),sK2)
| ~ m1_subset_1(sK6(k1_zfmisc_1(iPr_def_18),X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_144391]) ).
tcf(c_144544,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_20),X0)
| ( sK6(k1_zfmisc_1(iPr_def_20),X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK6(iPr_def_21,X0),sK2)
| ~ m1_subset_1(sK6(k1_zfmisc_1(iPr_def_20),X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_144391]) ).
tcf(c_144545,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_28),X0)
| ( sK6(k1_zfmisc_1(iPr_def_28),X0) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK6(iPr_def_29,X0),sK2)
| ~ m1_subset_1(sK6(k1_zfmisc_1(iPr_def_28),X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_144391]) ).
tcf(c_144551,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_144063,c_33903,c_113566]) ).
tcf(c_144563,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_20,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_144551,c_152]) ).
tcf(c_144564,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_144551,c_61]) ).
tcf(c_144566,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144551,c_292]) ).
tcf(c_144567,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_20)) = k1_struct_0(sK3,iPr_def_20) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_144551,c_8259]) ).
tcf(c_144568,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_20)) = k1_struct_0(sK2,iPr_def_20) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_144551,c_8246]) ).
tcf(c_144635,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_124370]) ).
tcf(c_144637,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_124370]) ).
tcf(c_144638,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| r2_hidden(iPr_def_28,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_124370]) ).
tcf(c_144639,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_124370]) ).
tcf(c_144640,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_124370]) ).
tcf(c_144680,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_144637,c_34771,c_113583]) ).
tcf(c_144692,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(iPr_def_28,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_144680,c_152]) ).
tcf(c_144693,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_28) ),
inference(superposition,[status(thm)],[c_144680,c_61]) ).
tcf(c_144695,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144680,c_292]) ).
tcf(c_144696,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK3,iPr_def_28)) = k1_struct_0(sK3,iPr_def_28) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_144680,c_8259]) ).
tcf(c_144697,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK2,iPr_def_28)) = k1_struct_0(sK2,iPr_def_28) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_144680,c_8246]) ).
tcf(c_144855,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_124870]) ).
tcf(c_144857,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_124870]) ).
tcf(c_144858,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(iPr_def_31,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_124870]) ).
tcf(c_144859,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_124870]) ).
tcf(c_144860,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_124870]) ).
tcf(c_144895,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_144857,c_33903,c_113600]) ).
tcf(c_144907,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(iPr_def_31,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_144895,c_152]) ).
tcf(c_144908,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_31) ),
inference(superposition,[status(thm)],[c_144895,c_61]) ).
tcf(c_144910,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144895,c_292]) ).
tcf(c_144911,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,iPr_def_31)) = k1_struct_0(sK3,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_144895,c_8259]) ).
tcf(c_144912,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,iPr_def_31)) = k1_struct_0(sK2,iPr_def_31) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_144895,c_8246]) ).
tcf(c_144949,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_136929]) ).
tcf(c_144950,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_136929]) ).
tcf(c_144951,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK17(sK3)) ),
inference(light_normalisation,[status(thm)],[c_144950,c_8225]) ).
tcf(c_144952,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,sK17(sK2)) ),
inference(light_normalisation,[status(thm)],[c_144949,c_8227]) ).
tcf(c_144957,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_144510,c_152]) ).
tcf(c_144958,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_18,X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_61]) ).
tcf(c_144959,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_144510,c_305]) ).
tcf(c_144960,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_144510,c_292]) ).
tcf(c_144961,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_144510,c_8259]) ).
tcf(c_144962,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144510,c_8246]) ).
tcf(c_144963,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_144510,c_8258]) ).
tcf(c_144964,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_144510,c_8245]) ).
tcf(c_144965,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_18,sK5(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_144510,c_114471]) ).
tcf(c_144966,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_144510,c_114472]) ).
tcf(c_144967,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,sK6(k1_funct_1(sK4,iPr_def_30),X0)) ),
inference(superposition,[status(thm)],[c_144510,c_114497]) ).
tcf(c_144968,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_115529]) ).
tcf(c_144970,plain,
( ~ r1_tarski(iPr_def_18,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_127905]) ).
tcf(c_144971,plain,
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,sK12(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_144510,c_119169]) ).
tcf(c_144973,plain,
( ~ r1_tarski(iPr_def_18,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_125947]) ).
tcf(c_144978,plain,
( ~ r1_tarski(iPr_def_18,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_126913]) ).
tcf(c_144979,plain,
( ~ r1_tarski(iPr_def_18,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_127040]) ).
tcf(c_144980,plain,
( ~ r1_tarski(iPr_def_18,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_127267]) ).
tcf(c_144981,plain,
( ~ r1_tarski(iPr_def_18,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_127375]) ).
tcf(c_144983,plain,
( ~ r1_tarski(iPr_def_18,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_128180]) ).
tcf(c_144984,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_144510,c_131210]) ).
tcf(c_145029,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144963,c_144158]) ).
tcf(c_145037,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_144961,c_144381,c_144382]) ).
tcf(c_145129,plain,
( v1_tsp_2(iPr_def_18,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116843,c_144959]) ).
tcf(c_145131,plain,
( v1_tsp_2(iPr_def_18,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_xboole_0(sK7(sK3,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145129,c_119983]) ).
tcf(c_145140,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_144960,c_301]) ).
tcf(c_145141,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(sK4,iPr_def_30) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ v1_tsp_1(k1_funct_1(sK4,iPr_def_30),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_144960,c_158]) ).
tcf(c_145142,plain,
! [X0: $i] :
( v1_tsp_2(k1_funct_1(sK4,iPr_def_30),X0)
| r1_tarski(k1_funct_1(sK4,iPr_def_30),sK7(X0,k1_funct_1(sK4,iPr_def_30)))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_funct_1(sK4,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_144960,c_155]) ).
tcf(c_145143,plain,
! [X0: $i] :
( v1_tsp_2(k1_funct_1(sK4,iPr_def_30),X0)
| v1_tsp_1(sK7(X0,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_funct_1(sK4,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_144960,c_154]) ).
tcf(c_145144,plain,
! [X0: $i] :
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_144960,c_157]) ).
tcf(c_145145,plain,
( ( k1_struct_0(sK20,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_144960,c_6743]) ).
tcf(c_145146,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144960,c_116010]) ).
tcf(c_145147,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144960,c_114679]) ).
tcf(c_145148,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(sK5(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144960,c_115716]) ).
tcf(c_145149,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ r1_tarski(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_144960,c_116313]) ).
tcf(c_145150,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))))) = k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144960,c_114117]) ).
tcf(c_145151,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)) = k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_144960,c_116408]) ).
tcf(c_145152,plain,
( ( k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_144960,c_116002]) ).
tcf(c_145153,plain,
( ( k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_144960,c_115708]) ).
tcf(c_145154,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_144960,c_114071]) ).
tcf(c_145155,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,sK5(sK3,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_144960,c_116042]) ).
tcf(c_145156,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(sK5(sK3,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_144960,c_115769]) ).
tcf(c_145157,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_144960,c_114678]) ).
tcf(c_145158,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK3)
| ~ r1_tarski(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK3) ),
inference(superposition,[status(thm)],[c_144960,c_116308]) ).
tcf(c_145161,plain,
( r1_tarski(k1_funct_1(sK4,iPr_def_30),iPr_def_28)
| ~ r1_tarski(iPr_def_18,iPr_def_29) ),
inference(superposition,[status(thm)],[c_144960,c_114680]) ).
tcf(c_145173,plain,
k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) = k1_tarski(k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_145153,c_121715]) ).
tcf(c_145177,plain,
k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_145152,c_121715]) ).
tcf(c_145180,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)) = k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_145151,c_121715]) ).
tcf(c_145214,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145154,c_121715]) ).
tcf(c_145465,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK5(sK3,X0))
| ~ r1_tarski(X0,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115274,c_131277]) ).
tcf(c_145466,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK5(sK2,X0))
| ~ r1_tarski(X0,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115275,c_131277]) ).
tcf(c_145467,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_131277]) ).
tcf(c_145473,plain,
~ r1_tarski(iPr_def_29,sK11(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_116789,c_131277]) ).
tcf(c_145480,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118070,c_131277]) ).
tcf(c_145481,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118120,c_131277]) ).
tcf(c_145482,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118488,c_131277]) ).
tcf(c_145483,plain,
( ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_118635,c_131277]) ).
tcf(c_145485,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK12(X0))
| ~ r1_tarski(X0,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_119168,c_131277]) ).
tcf(c_145490,plain,
( ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_126300,c_131277]) ).
tcf(c_145491,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_144510,c_131277]) ).
tcf(c_145492,plain,
( ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_127743,c_131277]) ).
tcf(c_145493,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_131043,c_131277]) ).
tcf(c_145494,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_131131,c_131277]) ).
tcf(c_145697,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19))
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_127121]) ).
tcf(c_145698,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21))
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_127121]) ).
tcf(c_145699,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29))
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_127121]) ).
tcf(c_145711,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_127122]) ).
tcf(c_145712,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_127122]) ).
tcf(c_145713,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_127122]) ).
tcf(c_145714,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_xboole_0(sK7(sK2,k1_zfmisc_1(X0)))
| r2_hidden(k1_xboole_0,sK7(sK2,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_127122,c_299]) ).
tcf(c_145730,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_8236,c_131220]) ).
tcf(c_145731,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_122520,c_131220]) ).
tcf(c_145732,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_145730,c_8238]) ).
tcf(c_145733,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145732,c_8266]) ).
tcf(c_145736,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_145731,c_122521]) ).
tcf(c_145737,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK13(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145736,c_122454]) ).
tcf(c_145747,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_8236,c_131287]) ).
tcf(c_145748,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_122520,c_131287]) ).
tcf(c_145749,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_145747,c_8238]) ).
tcf(c_145750,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145749,c_8266]) ).
tcf(c_145753,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_145748,c_122521]) ).
tcf(c_145754,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK11(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145753,c_122454]) ).
tcf(c_145781,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_137188]) ).
tcf(c_145782,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_137188]) ).
tcf(c_145783,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK19(sK3)) ),
inference(light_normalisation,[status(thm)],[c_145782,c_8225]) ).
tcf(c_145784,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,sK19(sK2)) ),
inference(light_normalisation,[status(thm)],[c_145781,c_8227]) ).
tcf(c_145793,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115274,c_131380]) ).
tcf(c_145794,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115275,c_131380]) ).
tcf(c_145795,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_131380]) ).
tcf(c_145808,plain,
~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK2))),
inference(superposition,[status(thm)],[c_118070,c_131380]) ).
tcf(c_145810,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118488,c_131380]) ).
tcf(c_145811,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118635,c_131380]) ).
tcf(c_145813,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_119168,c_131380]) ).
tcf(c_145818,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_126300,c_131380]) ).
tcf(c_145822,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_131131,c_131380]) ).
tcf(c_145853,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115274,c_131637]) ).
tcf(c_145854,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115275,c_131637]) ).
tcf(c_145855,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_131637]) ).
tcf(c_145869,plain,
~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK2))),
inference(superposition,[status(thm)],[c_118120,c_131637]) ).
tcf(c_145870,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118488,c_131637]) ).
tcf(c_145871,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118635,c_131637]) ).
tcf(c_145873,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_119168,c_131637]) ).
tcf(c_145878,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_126300,c_131637]) ).
tcf(c_145882,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_131131,c_131637]) ).
tcf(c_145988,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_115274,c_131706]) ).
tcf(c_145989,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_115275,c_131706]) ).
tcf(c_145990,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_131706]) ).
tcf(c_146005,plain,
~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK3))),
inference(superposition,[status(thm)],[c_118488,c_131706]) ).
tcf(c_146008,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_119168,c_131706]) ).
tcf(c_146014,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_144510,c_131706]) ).
tcf(c_146015,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_131706]) ).
tcf(c_146016,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_131706]) ).
tcf(c_146079,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_115274,c_131771]) ).
tcf(c_146080,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_115275,c_131771]) ).
tcf(c_146081,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_131771]) ).
tcf(c_146097,plain,
~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK3))),
inference(superposition,[status(thm)],[c_118635,c_131771]) ).
tcf(c_146099,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_119168,c_131771]) ).
tcf(c_146105,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_144510,c_131771]) ).
tcf(c_146106,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_131771]) ).
tcf(c_146107,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_131771]) ).
tcf(c_146141,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_122520,c_131716]) ).
tcf(c_146142,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_146141,c_122521]) ).
tcf(c_146143,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),u1_struct_0(sK10(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146142,c_122454]) ).
tcf(c_146154,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_122520,c_131781]) ).
tcf(c_146155,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_146154,c_122521]) ).
tcf(c_146156,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),u1_struct_0(sK14(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146155,c_122454]) ).
tcf(c_146167,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122520,c_134047]) ).
tcf(c_146168,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_146167,c_122521]) ).
tcf(c_146169,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146168,c_122454]) ).
tcf(c_146214,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_137550]) ).
tcf(c_146215,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_137550]) ).
tcf(c_146216,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK25(sK3)) ),
inference(light_normalisation,[status(thm)],[c_146215,c_8225]) ).
tcf(c_146217,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,sK25(sK2)) ),
inference(light_normalisation,[status(thm)],[c_146214,c_8227]) ).
tcf(c_146222,plain,
sK22(sK14(sK14(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_132695]) ).
tcf(c_146223,plain,
sK22(sK14(sK14(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_132695]) ).
tcf(c_146224,plain,
sK22(sK14(sK14(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_132695]) ).
tcf(c_146225,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_132695]) ).
tcf(c_146226,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_132695]) ).
tcf(c_146231,plain,
( ~ l1_pre_topc(sK14(sK14(sK2)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK2)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146222,c_130886]) ).
tcf(c_146232,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146222,c_114892]) ).
tcf(c_146233,plain,
( ( u1_struct_0(sK14(sK14(sK2))) = sK22(sK14(sK14(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK2))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK2))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK2))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146222,c_124845]) ).
tcf(c_146234,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146222,c_114795]) ).
tcf(c_146235,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146222,c_254]) ).
tcf(c_146237,plain,
( ( u1_struct_0(sK14(sK14(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK2))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146233,c_146222]) ).
tcf(c_146238,plain,
( ( u1_struct_0(sK14(sK14(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK2))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146237,c_114344]) ).
tcf(c_146253,plain,
( ~ l1_pre_topc(sK14(sK14(sK8)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK8)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146223,c_130886]) ).
tcf(c_146254,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146223,c_114892]) ).
tcf(c_146255,plain,
( ( u1_struct_0(sK14(sK14(sK8))) = sK22(sK14(sK14(sK8))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK8))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK8))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK8))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146223,c_124845]) ).
tcf(c_146256,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146223,c_114795]) ).
tcf(c_146257,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146223,c_254]) ).
tcf(c_146259,plain,
( ( u1_struct_0(sK14(sK14(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK8))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146255,c_146223]) ).
tcf(c_146260,plain,
( ( u1_struct_0(sK14(sK14(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK8))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146259,c_114344]) ).
tcf(c_146318,plain,
sK22(sK14(sK10(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_132696]) ).
tcf(c_146319,plain,
sK22(sK14(sK10(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_132696]) ).
tcf(c_146320,plain,
sK22(sK14(sK10(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_132696]) ).
tcf(c_146321,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_132696]) ).
tcf(c_146322,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_132696]) ).
tcf(c_146327,plain,
( ~ l1_pre_topc(sK14(sK14(sK3)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK3)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146224,c_130886]) ).
tcf(c_146328,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146224,c_114892]) ).
tcf(c_146329,plain,
( ( u1_struct_0(sK14(sK14(sK3))) = sK22(sK14(sK14(sK3))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK3))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK3))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK3))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146224,c_124845]) ).
tcf(c_146330,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146224,c_114795]) ).
tcf(c_146331,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146224,c_254]) ).
tcf(c_146333,plain,
( ( u1_struct_0(sK14(sK14(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK3))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146329,c_146224]) ).
tcf(c_146334,plain,
( ( u1_struct_0(sK14(sK14(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK3))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146333,c_114344]) ).
tcf(c_146340,plain,
( ~ l1_pre_topc(sK14(sK10(sK2)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK2)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146318,c_130886]) ).
tcf(c_146341,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK2)))))
| ~ l1_pre_topc(sK14(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146318,c_114892]) ).
tcf(c_146342,plain,
( ( u1_struct_0(sK14(sK10(sK2))) = sK22(sK14(sK10(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK2))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK2))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK2))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146318,c_124845]) ).
tcf(c_146343,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK2))))
| ~ l1_pre_topc(sK14(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146318,c_114795]) ).
tcf(c_146344,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK2)))))
| ~ l1_pre_topc(sK14(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146318,c_254]) ).
tcf(c_146346,plain,
( ( u1_struct_0(sK14(sK10(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK2))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146342,c_146318]) ).
tcf(c_146347,plain,
( ( u1_struct_0(sK14(sK10(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK2))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146346,c_114344]) ).
tcf(c_146376,plain,
( ~ l1_pre_topc(sK14(sK10(sK8)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK8)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146319,c_130886]) ).
tcf(c_146377,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK8)))))
| ~ l1_pre_topc(sK14(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146319,c_114892]) ).
tcf(c_146378,plain,
( ( u1_struct_0(sK14(sK10(sK8))) = sK22(sK14(sK10(sK8))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK8))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK8))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK8))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146319,c_124845]) ).
tcf(c_146379,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK8))))
| ~ l1_pre_topc(sK14(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146319,c_114795]) ).
tcf(c_146380,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK8)))))
| ~ l1_pre_topc(sK14(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146319,c_254]) ).
tcf(c_146382,plain,
( ( u1_struct_0(sK14(sK10(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK8))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146378,c_146319]) ).
tcf(c_146383,plain,
( ( u1_struct_0(sK14(sK10(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK8))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146382,c_114344]) ).
tcf(c_146389,plain,
( ~ l1_pre_topc(sK14(sK10(sK3)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK3)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146320,c_130886]) ).
tcf(c_146390,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK3)))))
| ~ l1_pre_topc(sK14(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146320,c_114892]) ).
tcf(c_146391,plain,
( ( u1_struct_0(sK14(sK10(sK3))) = sK22(sK14(sK10(sK3))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK3))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK3))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK3))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146320,c_124845]) ).
tcf(c_146392,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK3))))
| ~ l1_pre_topc(sK14(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146320,c_114795]) ).
tcf(c_146393,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK3)))))
| ~ l1_pre_topc(sK14(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146320,c_254]) ).
tcf(c_146395,plain,
( ( u1_struct_0(sK14(sK10(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK3))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146391,c_146320]) ).
tcf(c_146396,plain,
( ( u1_struct_0(sK14(sK10(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK3))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146395,c_114344]) ).
tcf(c_146410,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_122520,c_137803]) ).
tcf(c_146411,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_146410,c_122521]) ).
tcf(c_146412,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(sK12(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146411,c_122454]) ).
tcf(c_146422,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_144968]) ).
tcf(c_146423,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_122521,c_144968]) ).
tcf(c_146424,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_116009,c_144968]) ).
tcf(c_146425,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_146422,c_8236]) ).
tcf(c_146426,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_30)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146425,c_8266]) ).
tcf(c_146429,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_146423,c_122520]) ).
tcf(c_146430,plain,
( ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146429,c_122454]) ).
tcf(c_146433,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_146424,c_116415]) ).
tcf(c_146434,plain,
( ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146433,c_173]) ).
tcf(c_146440,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20))) = k1_tarski(sK12(iPr_def_20)) ) ),
inference(light_normalisation,[status(thm)],[c_114116,c_115715,c_116009]) ).
tcf(c_146451,plain,
sK22(sK10(sK14(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_132751]) ).
tcf(c_146452,plain,
sK22(sK10(sK14(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_132751]) ).
tcf(c_146453,plain,
sK22(sK10(sK14(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_132751]) ).
tcf(c_146454,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_132751]) ).
tcf(c_146455,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_132751]) ).
tcf(c_146514,plain,
( ~ l1_pre_topc(sK10(sK14(sK2)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK2)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146451,c_130886]) ).
tcf(c_146515,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK2)))))
| ~ l1_pre_topc(sK10(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146451,c_114892]) ).
tcf(c_146516,plain,
( ( u1_struct_0(sK10(sK14(sK2))) = sK22(sK10(sK14(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK2))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK2))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK2))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146451,c_124845]) ).
tcf(c_146517,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK2))))
| ~ l1_pre_topc(sK10(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146451,c_114795]) ).
tcf(c_146518,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK2)))))
| ~ l1_pre_topc(sK10(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146451,c_254]) ).
tcf(c_146520,plain,
( ( u1_struct_0(sK10(sK14(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK2))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146516,c_146451]) ).
tcf(c_146521,plain,
( ( u1_struct_0(sK10(sK14(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK2))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146520,c_114344]) ).
tcf(c_146527,plain,
( ~ l1_pre_topc(sK10(sK14(sK8)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK8)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146452,c_130886]) ).
tcf(c_146528,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK8)))))
| ~ l1_pre_topc(sK10(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146452,c_114892]) ).
tcf(c_146529,plain,
( ( u1_struct_0(sK10(sK14(sK8))) = sK22(sK10(sK14(sK8))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK8))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK8))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK8))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146452,c_124845]) ).
tcf(c_146530,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK8))))
| ~ l1_pre_topc(sK10(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146452,c_114795]) ).
tcf(c_146531,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK8)))))
| ~ l1_pre_topc(sK10(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146452,c_254]) ).
tcf(c_146533,plain,
( ( u1_struct_0(sK10(sK14(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK8))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146529,c_146452]) ).
tcf(c_146534,plain,
( ( u1_struct_0(sK10(sK14(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK8))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146533,c_114344]) ).
tcf(c_146544,plain,
sK22(sK10(sK10(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_132752]) ).
tcf(c_146545,plain,
sK22(sK10(sK10(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_132752]) ).
tcf(c_146546,plain,
sK22(sK10(sK10(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_132752]) ).
tcf(c_146547,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_132752]) ).
tcf(c_146548,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_132752]) ).
tcf(c_146558,plain,
( ~ l1_pre_topc(sK10(sK14(sK3)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK3)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146453,c_130886]) ).
tcf(c_146559,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK3)))))
| ~ l1_pre_topc(sK10(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146453,c_114892]) ).
tcf(c_146560,plain,
( ( u1_struct_0(sK10(sK14(sK3))) = sK22(sK10(sK14(sK3))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK3))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK3))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK3))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146453,c_124845]) ).
tcf(c_146561,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK3))))
| ~ l1_pre_topc(sK10(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146453,c_114795]) ).
tcf(c_146562,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK3)))))
| ~ l1_pre_topc(sK10(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146453,c_254]) ).
tcf(c_146564,plain,
( ( u1_struct_0(sK10(sK14(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK3))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146560,c_146453]) ).
tcf(c_146565,plain,
( ( u1_struct_0(sK10(sK14(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK3))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146564,c_114344]) ).
tcf(c_146571,plain,
( ~ l1_pre_topc(sK10(sK10(sK2)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK2)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146544,c_130886]) ).
tcf(c_146572,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK2)))))
| ~ l1_pre_topc(sK10(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146544,c_114892]) ).
tcf(c_146573,plain,
( ( u1_struct_0(sK10(sK10(sK2))) = sK22(sK10(sK10(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK2))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK2))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK2))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146544,c_124845]) ).
tcf(c_146574,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146544,c_114795]) ).
tcf(c_146575,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK2)))))
| ~ l1_pre_topc(sK10(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146544,c_254]) ).
tcf(c_146577,plain,
( ( u1_struct_0(sK10(sK10(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK2))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146573,c_146544]) ).
tcf(c_146578,plain,
( ( u1_struct_0(sK10(sK10(sK2))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK2)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK2))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK2))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146577,c_114344]) ).
tcf(c_146584,plain,
( ~ l1_pre_topc(sK10(sK10(sK8)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK8)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146545,c_130886]) ).
tcf(c_146585,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK8)))))
| ~ l1_pre_topc(sK10(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146545,c_114892]) ).
tcf(c_146586,plain,
( ( u1_struct_0(sK10(sK10(sK8))) = sK22(sK10(sK10(sK8))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK8))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK8))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK8))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146545,c_124845]) ).
tcf(c_146587,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146545,c_114795]) ).
tcf(c_146588,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK8)))))
| ~ l1_pre_topc(sK10(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146545,c_254]) ).
tcf(c_146590,plain,
( ( u1_struct_0(sK10(sK10(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK8))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146586,c_146545]) ).
tcf(c_146591,plain,
( ( u1_struct_0(sK10(sK10(sK8))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK8)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK8))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK8))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146590,c_114344]) ).
tcf(c_146597,plain,
( ~ l1_pre_topc(sK10(sK10(sK3)))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK3)))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_146546,c_130886]) ).
tcf(c_146598,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK3)))))
| ~ l1_pre_topc(sK10(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146546,c_114892]) ).
tcf(c_146599,plain,
( ( u1_struct_0(sK10(sK10(sK3))) = sK22(sK10(sK10(sK3))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK3))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK3))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK3))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146546,c_124845]) ).
tcf(c_146600,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146546,c_114795]) ).
tcf(c_146601,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK3)))))
| ~ l1_pre_topc(sK10(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146546,c_254]) ).
tcf(c_146603,plain,
( ( u1_struct_0(sK10(sK10(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK3))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_146599,c_146546]) ).
tcf(c_146604,plain,
( ( u1_struct_0(sK10(sK10(sK3))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK3)))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK3))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK3))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146603,c_114344]) ).
tcf(c_146663,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(iPr_def_21))) = k1_funct_1(sK4,sK5(sK2,sK12(iPr_def_21))) ) ),
inference(superposition,[status(thm)],[c_173,c_116416]) ).
tcf(c_146664,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,X0)) = k1_funct_1(sK4,sK5(sK2,X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120336,c_116416]) ).
tcf(c_146665,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_8249,c_116416]) ).
tcf(c_146666,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_8251,c_116416]) ).
tcf(c_146667,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_8253,c_116416]) ).
tcf(c_146669,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116252,c_116416]) ).
tcf(c_146670,plain,
! [X0: $i] :
( v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k4_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k4_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114453,c_116416]) ).
tcf(c_146671,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_32)) = k1_funct_1(sK4,sK5(sK2,iPr_def_32)) ) ),
inference(superposition,[status(thm)],[c_114462,c_116416]) ).
tcf(c_146672,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK16(iPr_def_20))) = k1_funct_1(sK4,sK5(sK2,sK16(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_114308,c_116416]) ).
tcf(c_146673,plain,
( v1_tsp_1(iPr_def_21,sK3)
| v1_tsp_1(sK5(sK3,iPr_def_21),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK5(sK3,iPr_def_21))) = k1_funct_1(sK4,sK5(sK2,sK5(sK3,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114314,c_116416]) ).
tcf(c_146674,plain,
( v1_tsp_1(iPr_def_21,sK2)
| v1_tsp_1(sK5(sK2,iPr_def_21),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK5(sK2,iPr_def_21))) = k1_funct_1(sK4,sK5(sK2,sK5(sK2,iPr_def_21))) )
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114315,c_116416]) ).
tcf(c_146676,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| v1_tsp_1(sK6(iPr_def_21,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK6(iPr_def_21,X0))) = k1_funct_1(sK4,sK5(sK2,sK6(iPr_def_21,X0))) ) ),
inference(superposition,[status(thm)],[c_114499,c_116416]) ).
tcf(c_146677,plain,
! [X0: $i] :
( v1_tsp_1(k1_struct_0(sK2,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_struct_0(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k1_struct_0(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114637,c_116416]) ).
tcf(c_146678,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_20)) = k1_funct_1(sK4,sK5(sK2,iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_120337,c_116416]) ).
tcf(c_146679,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_114775,c_116416]) ).
tcf(c_146680,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115077,c_116416]) ).
tcf(c_146681,plain,
! [X0: $i] :
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k1_funct_1(sK4,sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115531,c_116416]) ).
tcf(c_146682,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115361,c_116416]) ).
tcf(c_146683,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_115387,c_116416]) ).
tcf(c_146684,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_115432,c_116416]) ).
tcf(c_146685,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_1(sK7(sK2,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK7(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116991,c_116416]) ).
tcf(c_146686,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_31)) = k1_funct_1(sK4,sK5(sK2,iPr_def_31)) ) ),
inference(superposition,[status(thm)],[c_122540,c_116416]) ).
tcf(c_146687,plain,
( v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_tarski(iPr_def_27))) = k1_funct_1(sK4,sK5(sK2,k1_tarski(iPr_def_27))) ) ),
inference(superposition,[status(thm)],[c_123747,c_116416]) ).
tcf(c_146689,plain,
( v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK16(iPr_def_18))) = k1_funct_1(sK4,sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_125949,c_116416]) ).
tcf(c_146694,plain,
( v1_tsp_1(sK17(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK3))) = k1_funct_1(sK4,sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126915,c_116416]) ).
tcf(c_146695,plain,
( v1_tsp_1(sK19(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK3))) = k1_funct_1(sK4,sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127042,c_116416]) ).
tcf(c_146696,plain,
( v1_tsp_1(sK25(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK3))) = k1_funct_1(sK4,sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127269,c_116416]) ).
tcf(c_146697,plain,
( v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK16(iPr_def_28))) = k1_funct_1(sK4,sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127377,c_116416]) ).
tcf(c_146698,plain,
( v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) ) ),
inference(superposition,[status(thm)],[c_127573,c_116416]) ).
tcf(c_146700,plain,
( v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(iPr_def_19))) = k1_funct_1(sK4,sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_127907,c_116416]) ).
tcf(c_146702,plain,
( v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(iPr_def_29))) = k1_funct_1(sK4,sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128182,c_116416]) ).
tcf(c_146703,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_20)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) = k1_funct_1(sK4,sK5(sK2,k1_tarski(sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_131010,c_116416]) ).
tcf(c_146704,plain,
( v1_tsp_1(sK13(iPr_def_20,iPr_def_18),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) = k1_funct_1(sK4,sK5(sK2,sK13(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131212,c_116416]) ).
tcf(c_146705,plain,
( v1_tsp_1(sK11(iPr_def_20,iPr_def_18),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) = k1_funct_1(sK4,sK5(sK2,sK11(iPr_def_20,iPr_def_18))) )
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131279,c_116416]) ).
tcf(c_146708,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK3)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131708,c_116416]) ).
tcf(c_146709,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK3)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK3)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_131773,c_116416]) ).
tcf(c_146710,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_134038,c_116416]) ).
tcf(c_146713,plain,
( v1_tsp_1(k1_tarski(sK12(iPr_def_18)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) = k1_funct_1(sK4,sK5(sK2,k1_tarski(sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_137795,c_116416]) ).
tcf(c_146714,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_141413,c_116416]) ).
tcf(c_146715,plain,
( v1_tsp_1(k1_funct_1(sK4,iPr_def_30),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_funct_1(sK4,sK5(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144960,c_116416]) ).
tcf(c_146968,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = iPr_def_32 ) ),
inference(light_normalisation,[status(thm)],[c_114119,c_115717,c_116015]) ).
tcf(c_146975,plain,
( r2_hidden(iPr_def_32,k1_zfmisc_1(u1_struct_0(sK2)))
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_146968,c_116255]) ).
tcf(c_146976,plain,
( m1_subset_1(iPr_def_32,k1_zfmisc_1(u1_struct_0(sK2)))
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_146968,c_160]) ).
tcf(c_146977,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),u1_struct_0(sK2)) ),
inference(superposition,[status(thm)],[c_146968,c_124997]) ).
tcf(c_146978,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_32) ),
inference(superposition,[status(thm)],[c_146968,c_115880]) ).
tcf(c_146979,plain,
! [X0: $i] :
( r2_hidden(sK5(sK2,iPr_def_32),k2_tex_4(sK2,X0))
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(superposition,[status(thm)],[c_146968,c_8255]) ).
tcf(c_146980,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(X0,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_8245]) ).
tcf(c_146981,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_132053]) ).
tcf(c_146984,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_120613]) ).
tcf(c_146985,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20)
| ~ r2_hidden(iPr_def_32,sK5(sK2,iPr_def_32)) ),
inference(superposition,[status(thm)],[c_146968,c_114474]) ).
tcf(c_146987,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32))))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_116624]) ).
tcf(c_146988,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = X0 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,sK5(sK2,iPr_def_32)),X0)) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_117998]) ).
tcf(c_146989,plain,
( v1_tsp_1(k2_tex_4(sK2,sK5(sK2,iPr_def_32)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ v1_tsp_2(iPr_def_32,sK2)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_116643]) ).
tcf(c_146992,plain,
( m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_32)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_114317]) ).
tcf(c_146993,plain,
! [X0: $i] :
( r1_tarski(iPr_def_32,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,sK5(sK2,iPr_def_32)),X0)) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_114629]) ).
tcf(c_146994,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_114062]) ).
tcf(c_146995,plain,
( v1_tsp_1(k2_tex_4(sK2,sK5(sK2,iPr_def_32)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_114051]) ).
tcf(c_146996,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_32)),k4_tex_4(sK2,sK5(sK2,iPr_def_32))) = k1_struct_0(sK2,sK5(sK2,iPr_def_32)) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_113997]) ).
tcf(c_146997,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,sK5(sK2,iPr_def_32)),k4_tex_4(sK3,sK5(sK2,iPr_def_32))) = k1_struct_0(sK3,sK5(sK2,iPr_def_32)) )
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,sK5(sK2,iPr_def_32)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146968,c_113963]) ).
tcf(c_146998,plain,
( r2_hidden(sK5(sK2,iPr_def_32),iPr_def_32)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_113835]) ).
tcf(c_146999,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20)
| ( k2_tex_4(sK2,X0) != iPr_def_32 ) ),
inference(superposition,[status(thm)],[c_146968,c_8255]) ).
tcf(c_147009,plain,
( m1_subset_1(iPr_def_32,iPr_def_21)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_146976,c_8226,c_8227]) ).
tcf(c_147010,plain,
( r2_hidden(iPr_def_32,iPr_def_21)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_146975,c_8226,c_8227]) ).
tcf(c_147011,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_146977,c_8226,c_8227]) ).
tcf(c_147137,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_115274,c_134036]) ).
tcf(c_147138,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_115275,c_134036]) ).
tcf(c_147139,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_134036]) ).
tcf(c_147157,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_119168,c_134036]) ).
tcf(c_147162,plain,
~ r1_tarski(iPr_def_19,k2_tex_4(sK3,iPr_def_30)),
inference(superposition,[status(thm)],[c_126300,c_134036]) ).
tcf(c_147163,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_134036]) ).
tcf(c_147164,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_134036]) ).
tcf(c_147165,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_134036]) ).
tcf(c_147226,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_115274,c_135483]) ).
tcf(c_147227,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_115275,c_135483]) ).
tcf(c_147228,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_135483]) ).
tcf(c_147246,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_119168,c_135483]) ).
tcf(c_147254,plain,
~ r1_tarski(iPr_def_21,k2_tex_4(sK2,iPr_def_30)),
inference(superposition,[status(thm)],[c_127743,c_135483]) ).
tcf(c_147256,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_131131,c_135483]) ).
tcf(c_147298,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115274,c_137610]) ).
tcf(c_147299,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115275,c_137610]) ).
tcf(c_147300,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_137610]) ).
tcf(c_147318,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_119168,c_137610]) ).
tcf(c_147326,plain,
~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_131043,c_137610]) ).
tcf(c_147327,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131131,c_137610]) ).
tcf(c_147358,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115274,c_137793]) ).
tcf(c_147359,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115275,c_137793]) ).
tcf(c_147360,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_137793]) ).
tcf(c_147378,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_119168,c_137793]) ).
tcf(c_147384,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_144510,c_137793]) ).
tcf(c_147387,plain,
~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_18))),
inference(superposition,[status(thm)],[c_131131,c_137793]) ).
tcf(c_147468,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146682,c_117374]) ).
tcf(c_147469,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146682,c_119339]) ).
tcf(c_147470,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146682,c_114501]) ).
tcf(c_147471,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146682,c_113891]) ).
tcf(c_147472,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147468,c_115361]) ).
tcf(c_147476,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147469,c_115361]) ).
tcf(c_147481,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147470,c_115361]) ).
tcf(c_147485,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147471,c_115361]) ).
tcf(c_147494,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146683,c_117374]) ).
tcf(c_147495,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146683,c_119339]) ).
tcf(c_147496,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146683,c_114501]) ).
tcf(c_147497,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146683,c_113891]) ).
tcf(c_147498,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147494,c_115387]) ).
tcf(c_147502,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147495,c_115387]) ).
tcf(c_147507,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147496,c_115387]) ).
tcf(c_147511,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147497,c_115387]) ).
tcf(c_147533,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146684,c_117374]) ).
tcf(c_147534,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146684,c_119339]) ).
tcf(c_147535,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146684,c_114501]) ).
tcf(c_147536,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146684,c_113891]) ).
tcf(c_147537,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147533,c_115432]) ).
tcf(c_147541,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147534,c_115432]) ).
tcf(c_147546,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147535,c_115432]) ).
tcf(c_147550,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147536,c_115432]) ).
tcf(c_147580,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146679,c_119339]) ).
tcf(c_147581,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146679,c_114501]) ).
tcf(c_147582,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146679,c_113891]) ).
tcf(c_147583,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(superposition,[status(thm)],[c_146679,c_132833]) ).
tcf(c_147587,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147580,c_114775]) ).
tcf(c_147592,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147581,c_114775]) ).
tcf(c_147596,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147582,c_114775]) ).
tcf(c_147630,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146680,c_119339]) ).
tcf(c_147631,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146680,c_114501]) ).
tcf(c_147632,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146680,c_113891]) ).
tcf(c_147633,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(superposition,[status(thm)],[c_146680,c_132816]) ).
tcf(c_147637,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147630,c_115077]) ).
tcf(c_147642,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147631,c_115077]) ).
tcf(c_147646,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147632,c_115077]) ).
tcf(c_147695,plain,
( ~ m1_subset_1(sK12(u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_115737,c_123648]) ).
tcf(c_147696,plain,
( r2_hidden(k1_tarski(sK12(u1_struct_0(sK20))),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK12(u1_struct_0(sK20)),u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_115737,c_115758]) ).
tcf(c_147697,plain,
( m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK12(u1_struct_0(sK20)),u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_115737,c_6745]) ).
tcf(c_147698,plain,
m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),k1_zfmisc_1(u1_struct_0(sK20))),
inference(forward_subsumption_resolution,[status(thm)],[c_147697,c_173]) ).
tcf(c_147699,plain,
r2_hidden(k1_tarski(sK12(u1_struct_0(sK20))),k1_zfmisc_1(u1_struct_0(sK20))),
inference(forward_subsumption_resolution,[status(thm)],[c_147696,c_173]) ).
tcf(c_147700,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(sK12(u1_struct_0(sK20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_147695,c_173]) ).
tcf(c_147715,plain,
r1_tarski(k1_tarski(sK12(u1_struct_0(sK20))),u1_struct_0(sK20)),
inference(superposition,[status(thm)],[c_147698,c_301]) ).
tcf(c_147716,plain,
! [X0: $i] :
( ( k1_tarski(sK12(u1_struct_0(sK20))) = X0 )
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_2(X0,sK20)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v1_tsp_1(k1_tarski(sK12(u1_struct_0(sK20))),sK20)
| ~ r1_tarski(X0,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147698,c_158]) ).
tcf(c_147717,plain,
( v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK20)
| r1_tarski(k1_tarski(sK12(u1_struct_0(sK20))),sK7(sK20,k1_tarski(sK12(u1_struct_0(sK20)))))
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_1(k1_tarski(sK12(u1_struct_0(sK20))),sK20) ),
inference(superposition,[status(thm)],[c_147698,c_155]) ).
tcf(c_147718,plain,
( v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK20)
| v1_tsp_1(sK7(sK20,k1_tarski(sK12(u1_struct_0(sK20)))),sK20)
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_1(k1_tarski(sK12(u1_struct_0(sK20))),sK20) ),
inference(superposition,[status(thm)],[c_147698,c_154]) ).
tcf(c_147719,plain,
( v1_tsp_1(k1_tarski(sK12(u1_struct_0(sK20))),sK20)
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK20) ),
inference(superposition,[status(thm)],[c_147698,c_157]) ).
tcf(c_147738,plain,
( ( k1_tarski(sK12(u1_struct_0(sK20))) = u1_struct_0(sK20) )
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK2)
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147715,c_117091]) ).
tcf(c_147748,plain,
! [X0: $i] :
( v1_xboole_0(sK13(iPr_def_20,iPr_def_18))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_138461,c_142564]) ).
tcf(c_147749,plain,
! [X0: $i] :
( ( sK13(iPr_def_20,iPr_def_18) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138461,c_117091]) ).
tcf(c_147750,plain,
( ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_133077]) ).
tcf(c_147751,plain,
( r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_125044]) ).
tcf(c_147752,plain,
( m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_114653]) ).
tcf(c_147753,plain,
( ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_133078]) ).
tcf(c_147754,plain,
( r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_138461,c_125045]) ).
tcf(c_147755,plain,
( m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_138461,c_114654]) ).
tcf(c_147759,plain,
( m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_147755,c_8227]) ).
tcf(c_147762,plain,
( r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_147754,c_8227]) ).
tcf(c_147765,plain,
( m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_147752,c_8225]) ).
tcf(c_147768,plain,
( r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_147751,c_8225]) ).
tcf(c_147771,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_147753,c_8227]) ).
tcf(c_147774,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_147750,c_8225]) ).
tcf(c_147867,plain,
! [X0: $i] :
( v1_xboole_0(sK11(iPr_def_20,iPr_def_18))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_138639,c_142564]) ).
tcf(c_147868,plain,
! [X0: $i] :
( ( sK11(iPr_def_20,iPr_def_18) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138639,c_117091]) ).
tcf(c_147869,plain,
( ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_133077]) ).
tcf(c_147870,plain,
( r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_125044]) ).
tcf(c_147871,plain,
( m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_114653]) ).
tcf(c_147872,plain,
( ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_133078]) ).
tcf(c_147873,plain,
( r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_138639,c_125045]) ).
tcf(c_147874,plain,
( m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_138639,c_114654]) ).
tcf(c_147878,plain,
( m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_147874,c_8227]) ).
tcf(c_147881,plain,
( r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_147873,c_8227]) ).
tcf(c_147884,plain,
( m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_147871,c_8225]) ).
tcf(c_147887,plain,
( r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_147870,c_8225]) ).
tcf(c_147890,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_147872,c_8227]) ).
tcf(c_147893,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_147869,c_8225]) ).
tcf(c_147961,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,iPr_def_27))) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_146669]) ).
tcf(c_147962,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_32)))) )
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_146669]) ).
tcf(c_147963,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146669,c_117374]) ).
tcf(c_147964,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_2(X1,sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146669,c_119339]) ).
tcf(c_147965,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1))) = k1_struct_0(sK2,sK6(k2_tex_4(sK2,X0),X1)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146669,c_114501]) ).
tcf(c_147966,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,X0),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK3,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_146669,c_113891]) ).
tcf(c_147967,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_146669,c_113997]) ).
tcf(c_147968,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_32)) = k1_funct_1(sK4,sK5(sK2,iPr_def_32)) )
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_147961,c_116015]) ).
tcf(c_148075,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(u1_struct_0(sK20))),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_147699,c_152]) ).
tcf(c_148079,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK3,k1_tarski(sK12(u1_struct_0(sK20))))) = k1_struct_0(sK3,k1_tarski(sK12(u1_struct_0(sK20)))) )
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147699,c_8259]) ).
tcf(c_148080,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(sK20)),k4_tex_4(sK2,k1_tarski(sK12(u1_struct_0(sK20))))) = k1_struct_0(sK2,k1_tarski(sK12(u1_struct_0(sK20)))) )
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147699,c_8246]) ).
tcf(c_148093,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_138881,c_142564]) ).
tcf(c_148094,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138881,c_117091]) ).
tcf(c_148095,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_133077]) ).
tcf(c_148096,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138881,c_125044]) ).
tcf(c_148097,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138881,c_114653]) ).
tcf(c_148101,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_133079]) ).
tcf(c_148102,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_138881,c_125046]) ).
tcf(c_148103,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_138881,c_114655]) ).
tcf(c_148104,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148103,c_8235]) ).
tcf(c_148107,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148102,c_8235]) ).
tcf(c_148110,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148097,c_8225]) ).
tcf(c_148113,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148096,c_8225]) ).
tcf(c_148116,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_148101,c_8235]) ).
tcf(c_148119,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_148095,c_8225]) ).
tcf(c_148125,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148094,c_114775]) ).
tcf(c_148237,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_139038,c_142564]) ).
tcf(c_148238,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_139038,c_117091]) ).
tcf(c_148239,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_133077]) ).
tcf(c_148240,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_139038,c_125044]) ).
tcf(c_148241,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_139038,c_114653]) ).
tcf(c_148245,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_133079]) ).
tcf(c_148246,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139038,c_125046]) ).
tcf(c_148247,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139038,c_114655]) ).
tcf(c_148248,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148247,c_8235]) ).
tcf(c_148251,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148246,c_8235]) ).
tcf(c_148254,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148241,c_8225]) ).
tcf(c_148257,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148240,c_8225]) ).
tcf(c_148260,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_148245,c_8235]) ).
tcf(c_148263,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_148239,c_8225]) ).
tcf(c_148269,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148238,c_115077]) ).
tcf(c_148313,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK3)))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_139563,c_142564]) ).
tcf(c_148314,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK3)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_139563,c_117091]) ).
tcf(c_148318,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_133078]) ).
tcf(c_148319,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139563,c_125045]) ).
tcf(c_148320,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139563,c_114654]) ).
tcf(c_148321,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_133079]) ).
tcf(c_148322,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139563,c_125046]) ).
tcf(c_148323,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139563,c_114655]) ).
tcf(c_148324,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148323,c_8235]) ).
tcf(c_148327,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148322,c_8235]) ).
tcf(c_148330,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148320,c_8227]) ).
tcf(c_148333,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148319,c_8227]) ).
tcf(c_148336,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_148321,c_8235]) ).
tcf(c_148339,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_148318,c_8227]) ).
tcf(c_148365,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK3)))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_139717,c_142564]) ).
tcf(c_148366,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK3)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_139717,c_117091]) ).
tcf(c_148370,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_133078]) ).
tcf(c_148371,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139717,c_125045]) ).
tcf(c_148372,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139717,c_114654]) ).
tcf(c_148373,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_133079]) ).
tcf(c_148374,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139717,c_125046]) ).
tcf(c_148375,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139717,c_114655]) ).
tcf(c_148376,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148375,c_8235]) ).
tcf(c_148379,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148374,c_8235]) ).
tcf(c_148382,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148372,c_8227]) ).
tcf(c_148385,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148371,c_8227]) ).
tcf(c_148388,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_148373,c_8235]) ).
tcf(c_148391,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_148370,c_8227]) ).
tcf(c_148474,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147481,c_142564]) ).
tcf(c_148475,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2)
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147481,c_117091]) ).
tcf(c_148476,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_133077]) ).
tcf(c_148477,plain,
( r2_hidden(sK17(sK2),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147481,c_125044]) ).
tcf(c_148478,plain,
( m1_subset_1(sK17(sK2),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147481,c_114653]) ).
tcf(c_148482,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_133079]) ).
tcf(c_148483,plain,
( r2_hidden(sK17(sK2),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147481,c_125046]) ).
tcf(c_148484,plain,
( m1_subset_1(sK17(sK2),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147481,c_114655]) ).
tcf(c_148507,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148475,c_115361]) ).
tcf(c_148535,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147507,c_142564]) ).
tcf(c_148536,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2)
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147507,c_117091]) ).
tcf(c_148537,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_133077]) ).
tcf(c_148538,plain,
( r2_hidden(sK19(sK2),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147507,c_125044]) ).
tcf(c_148539,plain,
( m1_subset_1(sK19(sK2),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147507,c_114653]) ).
tcf(c_148543,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_133079]) ).
tcf(c_148544,plain,
( r2_hidden(sK19(sK2),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147507,c_125046]) ).
tcf(c_148545,plain,
( m1_subset_1(sK19(sK2),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147507,c_114655]) ).
tcf(c_148568,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148536,c_115387]) ).
tcf(c_148622,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,iPr_def_30))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_139941,c_142564]) ).
tcf(c_148623,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_139941,c_117091]) ).
tcf(c_148627,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_133078]) ).
tcf(c_148628,plain,
( r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139941,c_125045]) ).
tcf(c_148629,plain,
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139941,c_114654]) ).
tcf(c_148630,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_133079]) ).
tcf(c_148631,plain,
( r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139941,c_125046]) ).
tcf(c_148632,plain,
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139941,c_114655]) ).
tcf(c_148633,plain,
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148632,c_8235]) ).
tcf(c_148636,plain,
( r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148631,c_8235]) ).
tcf(c_148639,plain,
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148629,c_8227]) ).
tcf(c_148642,plain,
( r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148628,c_8227]) ).
tcf(c_148645,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_148630,c_8235]) ).
tcf(c_148648,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_148627,c_8227]) ).
tcf(c_148651,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148622,c_126267]) ).
tcf(c_148685,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,iPr_def_30))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_140193,c_142564]) ).
tcf(c_148686,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_140193,c_117091]) ).
tcf(c_148687,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_133077]) ).
tcf(c_148688,plain,
( r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_140193,c_125044]) ).
tcf(c_148689,plain,
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_140193,c_114653]) ).
tcf(c_148693,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_133079]) ).
tcf(c_148694,plain,
( r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140193,c_125046]) ).
tcf(c_148695,plain,
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140193,c_114655]) ).
tcf(c_148696,plain,
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148695,c_8235]) ).
tcf(c_148699,plain,
( r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148694,c_8235]) ).
tcf(c_148702,plain,
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148689,c_8225]) ).
tcf(c_148705,plain,
( r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148688,c_8225]) ).
tcf(c_148708,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_148693,c_8235]) ).
tcf(c_148711,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_148687,c_8225]) ).
tcf(c_148714,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148685,c_127572]) ).
tcf(c_148717,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148686,c_127573]) ).
tcf(c_148823,plain,
! [X0: $i] :
( ( k1_tarski(sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_140640,c_117091]) ).
tcf(c_148824,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_133077]) ).
tcf(c_148825,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_140640,c_125044]) ).
tcf(c_148826,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_140640,c_114653]) ).
tcf(c_148830,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_133079]) ).
tcf(c_148831,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140640,c_125046]) ).
tcf(c_148832,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140640,c_114655]) ).
tcf(c_148833,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148832,c_8235]) ).
tcf(c_148836,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148831,c_8235]) ).
tcf(c_148839,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148826,c_8225]) ).
tcf(c_148842,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_148825,c_8225]) ).
tcf(c_148845,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_148830,c_8235]) ).
tcf(c_148848,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_148824,c_8225]) ).
tcf(c_148851,plain,
! [X0: $i] :
( ( k1_tarski(sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148823,c_131010]) ).
tcf(c_148870,plain,
! [X0: $i] :
( ( k1_tarski(sK12(iPr_def_18)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_140811,c_117091]) ).
tcf(c_148874,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_133078]) ).
tcf(c_148875,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_140811,c_125045]) ).
tcf(c_148876,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_140811,c_114654]) ).
tcf(c_148877,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_133079]) ).
tcf(c_148878,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140811,c_125046]) ).
tcf(c_148879,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140811,c_114655]) ).
tcf(c_148880,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148879,c_8235]) ).
tcf(c_148883,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_148878,c_8235]) ).
tcf(c_148886,plain,
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148876,c_8227]) ).
tcf(c_148889,plain,
( r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_148875,c_8227]) ).
tcf(c_148892,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_148877,c_8235]) ).
tcf(c_148895,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_148874,c_8227]) ).
tcf(c_148956,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147546,c_142564]) ).
tcf(c_148957,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2)
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147546,c_117091]) ).
tcf(c_148958,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_133077]) ).
tcf(c_148959,plain,
( r2_hidden(sK25(sK2),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147546,c_125044]) ).
tcf(c_148960,plain,
( m1_subset_1(sK25(sK2),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147546,c_114653]) ).
tcf(c_148964,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_133079]) ).
tcf(c_148965,plain,
( r2_hidden(sK25(sK2),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147546,c_125046]) ).
tcf(c_148966,plain,
( m1_subset_1(sK25(sK2),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147546,c_114655]) ).
tcf(c_148989,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148957,c_115432]) ).
tcf(c_149059,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ v1_xboole_0(sK17(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_147485]) ).
tcf(c_149060,plain,
( v1_tsp_1(sK17(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126687,c_147485]) ).
tcf(c_149084,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ v1_xboole_0(sK19(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_147511]) ).
tcf(c_149085,plain,
( v1_tsp_1(sK19(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126764,c_147511]) ).
tcf(c_149107,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ v1_xboole_0(sK25(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_147550]) ).
tcf(c_149108,plain,
( v1_tsp_1(sK25(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_126827,c_147550]) ).
tcf(c_149140,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147592,c_142564]) ).
tcf(c_149141,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147592,c_117091]) ).
tcf(c_149142,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_133077]) ).
tcf(c_149143,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147592,c_125044]) ).
tcf(c_149144,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147592,c_114653]) ).
tcf(c_149148,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_133079]) ).
tcf(c_149149,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147592,c_125046]) ).
tcf(c_149150,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147592,c_114655]) ).
tcf(c_149173,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149141,c_114775]) ).
tcf(c_149203,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147642,c_142564]) ).
tcf(c_149204,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_147642,c_117091]) ).
tcf(c_149205,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_133077]) ).
tcf(c_149206,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147642,c_125044]) ).
tcf(c_149207,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_147642,c_114653]) ).
tcf(c_149211,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ~ r2_hidden(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_133079]) ).
tcf(c_149212,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147642,c_125046]) ).
tcf(c_149213,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_29)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) ) ),
inference(superposition,[status(thm)],[c_147642,c_114655]) ).
tcf(c_149236,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149204,c_115077]) ).
tcf(c_149281,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116415,c_137803]) ).
tcf(c_149282,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116415,c_137620]) ).
tcf(c_149283,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_116415,c_135494]) ).
tcf(c_149284,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_116415,c_134047]) ).
tcf(c_149285,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_116415,c_131781]) ).
tcf(c_149286,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_116415,c_131716]) ).
tcf(c_149287,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_116415,c_131647]) ).
tcf(c_149288,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_116415,c_131390]) ).
tcf(c_149289,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116415,c_131287]) ).
tcf(c_149290,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116415,c_131220]) ).
tcf(c_149291,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_116415,c_128189]) ).
tcf(c_149292,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_116415,c_128073]) ).
tcf(c_149293,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_116415,c_127914]) ).
tcf(c_149294,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_116415,c_127844]) ).
tcf(c_149295,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_116415,c_127384]) ).
tcf(c_149296,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_116415,c_127276]) ).
tcf(c_149297,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_116415,c_127049]) ).
tcf(c_149298,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_116415,c_126922]) ).
tcf(c_149299,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116415,c_126834]) ).
tcf(c_149300,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116415,c_126771]) ).
tcf(c_149301,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_116415,c_126694]) ).
tcf(c_149303,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116415,c_125956]) ).
tcf(c_149304,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_116415,c_125892]) ).
tcf(c_149305,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116415,c_132457]) ).
tcf(c_149306,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116415,c_123330]) ).
tcf(c_149307,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116415,c_127185]) ).
tcf(c_149308,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_28)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29) ),
inference(superposition,[status(thm)],[c_116415,c_121839]) ).
tcf(c_149309,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116415,c_121727]) ).
tcf(c_149310,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116415,c_121402]) ).
tcf(c_149311,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116415,c_114887]) ).
tcf(c_149312,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116415,c_120313]) ).
tcf(c_149313,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_116415,c_115617]) ).
tcf(c_149314,plain,
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),sK7(sK2,sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20)))))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116415,c_117916]) ).
tcf(c_149315,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116415,c_116655]) ).
tcf(c_149316,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116415,c_115537]) ).
tcf(c_149317,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116415,c_115536]) ).
tcf(c_149318,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116415,c_115531]) ).
tcf(c_149319,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116415,c_115276]) ).
tcf(c_149320,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116415,c_114473]) ).
tcf(c_149321,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),k4_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116415,c_114316]) ).
tcf(c_149322,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116415,c_114292]) ).
tcf(c_149323,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),k4_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116415,c_8275]) ).
tcf(c_149324,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_116415,c_115645]) ).
tcf(c_149325,plain,
! [X0: $i] :
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116415,c_115529]) ).
tcf(c_149326,plain,
m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_149322,c_173]) ).
tcf(c_149327,plain,
r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_149311,c_173]) ).
tcf(c_149328,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_149306,c_173]) ).
tcf(c_149332,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149305,c_173]) ).
tcf(c_149335,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(light_normalisation,[status(thm)],[c_149319,c_116009]) ).
tcf(c_149337,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(light_normalisation,[status(thm)],[c_149318,c_116009]) ).
tcf(c_149338,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149337,c_173]) ).
tcf(c_149341,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_149310,c_116009]) ).
tcf(c_149342,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149341,c_173]) ).
tcf(c_149345,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_149309,c_116009]) ).
tcf(c_149346,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149345,c_173]) ).
tcf(c_149349,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_28)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_149308,c_116009]) ).
tcf(c_149350,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_28)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149349,c_173]) ).
tcf(c_149353,plain,
! [X0: $i] :
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_149325,c_116009]) ).
tcf(c_149354,plain,
! [X0: $i] :
( ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149353,c_173]) ).
tcf(c_149357,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_149313,c_116009]) ).
tcf(c_149358,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149357,c_173]) ).
tcf(c_149361,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_20)) ),
inference(light_normalisation,[status(thm)],[c_149304,c_116009]) ).
tcf(c_149362,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_20)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149361,c_173]) ).
tcf(c_149365,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_149303,c_116009]) ).
tcf(c_149366,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149365,c_173]) ).
tcf(c_149373,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK17(sK2)) ),
inference(light_normalisation,[status(thm)],[c_149301,c_116009]) ).
tcf(c_149374,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149373,c_173]) ).
tcf(c_149377,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK19(sK2)) ),
inference(light_normalisation,[status(thm)],[c_149300,c_116009]) ).
tcf(c_149378,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149377,c_173]) ).
tcf(c_149381,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK25(sK2)) ),
inference(light_normalisation,[status(thm)],[c_149299,c_116009]) ).
tcf(c_149382,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149381,c_173]) ).
tcf(c_149385,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK17(sK3)) ),
inference(light_normalisation,[status(thm)],[c_149298,c_116009]) ).
tcf(c_149386,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK17(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149385,c_173]) ).
tcf(c_149389,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK19(sK3)) ),
inference(light_normalisation,[status(thm)],[c_149297,c_116009]) ).
tcf(c_149390,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK19(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149389,c_173]) ).
tcf(c_149393,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK25(sK3)) ),
inference(light_normalisation,[status(thm)],[c_149296,c_116009]) ).
tcf(c_149394,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK25(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149393,c_173]) ).
tcf(c_149397,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_28)) ),
inference(light_normalisation,[status(thm)],[c_149295,c_116009]) ).
tcf(c_149398,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK16(iPr_def_28)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149397,c_173]) ).
tcf(c_149401,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(iPr_def_27)) ),
inference(light_normalisation,[status(thm)],[c_149294,c_116009]) ).
tcf(c_149402,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(iPr_def_27)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149401,c_173]) ).
tcf(c_149405,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_19)) ),
inference(light_normalisation,[status(thm)],[c_149293,c_116009]) ).
tcf(c_149406,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_19)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149405,c_173]) ).
tcf(c_149409,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_21)) ),
inference(light_normalisation,[status(thm)],[c_149292,c_116009]) ).
tcf(c_149410,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_21)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149409,c_173]) ).
tcf(c_149413,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_29)) ),
inference(light_normalisation,[status(thm)],[c_149291,c_116009]) ).
tcf(c_149414,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(iPr_def_29)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149413,c_173]) ).
tcf(c_149417,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_149290,c_116009]) ).
tcf(c_149418,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK13(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149417,c_173]) ).
tcf(c_149421,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_149289,c_116009]) ).
tcf(c_149422,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK11(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149421,c_173]) ).
tcf(c_149425,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_149288,c_116009]) ).
tcf(c_149426,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149425,c_173]) ).
tcf(c_149429,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_149287,c_116009]) ).
tcf(c_149430,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149429,c_173]) ).
tcf(c_149433,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_149286,c_116009]) ).
tcf(c_149434,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK10(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149433,c_173]) ).
tcf(c_149437,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_149285,c_116009]) ).
tcf(c_149438,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),u1_struct_0(sK14(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149437,c_173]) ).
tcf(c_149441,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_149284,c_116009]) ).
tcf(c_149442,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149441,c_173]) ).
tcf(c_149445,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_149283,c_116009]) ).
tcf(c_149446,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149445,c_173]) ).
tcf(c_149449,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_149282,c_116009]) ).
tcf(c_149450,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149449,c_173]) ).
tcf(c_149453,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_149281,c_116009]) ).
tcf(c_149454,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149453,c_173]) ).
tcf(c_149457,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_149315,c_116009,c_116415]) ).
tcf(c_149458,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149457,c_173]) ).
tcf(c_149468,plain,
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_149307,c_116009,c_116415]) ).
tcf(c_149469,plain,
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149468,c_173]) ).
tcf(c_149476,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_149312,c_116009,c_116415]) ).
tcf(c_149477,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149476,c_173]) ).
tcf(c_149719,plain,
k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_149326,c_116034]) ).
tcf(c_149720,plain,
k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_149326,c_115761]) ).
tcf(c_149728,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_141738,c_152]) ).
tcf(c_149729,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_61]) ).
tcf(c_149731,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_141738,c_292]) ).
tcf(c_149732,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_struct_0(sK3,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_141738,c_8259]) ).
tcf(c_149733,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_struct_0(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141738,c_8246]) ).
tcf(c_149734,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k2_tex_4(sK2,sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_141738,c_8258]) ).
tcf(c_149735,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_141738,c_8245]) ).
tcf(c_149736,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_141738,c_114471]) ).
tcf(c_149737,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_141738,c_114472]) ).
tcf(c_149738,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_20))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_141738,c_114474]) ).
tcf(c_149739,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,sK6(k2_tex_4(sK2,sK12(iPr_def_20)),X0)) ),
inference(superposition,[status(thm)],[c_141738,c_114497]) ).
tcf(c_149740,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_115529]) ).
tcf(c_149742,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_127905]) ).
tcf(c_149743,plain,
( v1_xboole_0(k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_141738,c_119169]) ).
tcf(c_149745,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_125947]) ).
tcf(c_149750,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_126913]) ).
tcf(c_149751,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_127040]) ).
tcf(c_149752,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_127267]) ).
tcf(c_149753,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_127375]) ).
tcf(c_149755,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_128180]) ).
tcf(c_149756,plain,
( ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_131210]) ).
tcf(c_149757,plain,
( ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_131277]) ).
tcf(c_149760,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_131706]) ).
tcf(c_149761,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_131771]) ).
tcf(c_149762,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_134036]) ).
tcf(c_149765,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_137793]) ).
tcf(c_149766,plain,
~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_141738,c_141425]) ).
tcf(c_149767,plain,
~ r1_tarski(iPr_def_21,sK12(iPr_def_20)),
inference(forward_subsumption_resolution,[status(thm)],[c_149738,c_173]) ).
tcf(c_149800,plain,
~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_149743,c_141412]) ).
tcf(c_149809,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149737,c_141413]) ).
tcf(c_149890,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_142118,c_152]) ).
tcf(c_149891,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_61]) ).
tcf(c_149893,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_142118,c_292]) ).
tcf(c_149894,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_struct_0(sK3,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_142118,c_8259]) ).
tcf(c_149895,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_struct_0(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142118,c_8246]) ).
tcf(c_149896,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k2_tex_4(sK3,sK12(iPr_def_18))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_142118,c_8258]) ).
tcf(c_149897,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_142118,c_8245]) ).
tcf(c_149898,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_142118,c_114471]) ).
tcf(c_149899,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_142118,c_114472]) ).
tcf(c_149900,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_18))
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_142118,c_114475]) ).
tcf(c_149901,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,sK6(k2_tex_4(sK3,sK12(iPr_def_18)),X0)) ),
inference(superposition,[status(thm)],[c_142118,c_114497]) ).
tcf(c_149902,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_115529]) ).
tcf(c_149903,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_128064]) ).
tcf(c_149905,plain,
( v1_xboole_0(k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_142118,c_119169]) ).
tcf(c_149906,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_125883]) ).
tcf(c_149909,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_126685]) ).
tcf(c_149910,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_126762]) ).
tcf(c_149911,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_126825]) ).
tcf(c_149915,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_127375]) ).
tcf(c_149916,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_127835]) ).
tcf(c_149917,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_128180]) ).
tcf(c_149918,plain,
( ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_131210]) ).
tcf(c_149919,plain,
( ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_131277]) ).
tcf(c_149920,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_131380]) ).
tcf(c_149921,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_131637]) ).
tcf(c_149925,plain,
( ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_135483]) ).
tcf(c_149926,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_137610]) ).
tcf(c_149928,plain,
~ r1_tarski(iPr_def_19,sK12(iPr_def_18)),
inference(forward_subsumption_resolution,[status(thm)],[c_149900,c_173]) ).
tcf(c_149961,plain,
~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,sK12(iPr_def_18)))),
inference(forward_subsumption_resolution,[status(thm)],[c_149905,c_142088]) ).
tcf(c_149973,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k2_tex_4(sK3,sK12(iPr_def_18)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149898,c_142089]) ).
tcf(c_150068,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),X0) ),
inference(superposition,[status(thm)],[c_143635,c_142565]) ).
tcf(c_150070,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK12(X0),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_142565,c_301]) ).
tcf(c_150071,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| ( sK12(X2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(X2))
| ~ v1_tsp_1(sK12(X2),X1)
| ~ r1_tarski(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_142565,c_158]) ).
tcf(c_150072,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(sK12(X0),X1)
| r1_tarski(sK12(X0),sK7(X1,sK12(X0)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(sK12(X0),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_142565,c_155]) ).
tcf(c_150073,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(sK12(X0),X1)
| v1_tsp_1(sK7(X1,sK12(X0)),X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(sK12(X0),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_142565,c_154]) ).
tcf(c_150074,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(sK12(X0),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_142565,c_157]) ).
tcf(c_150075,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_struct_0(sK20,sK12(X0)) = k1_tarski(sK12(X0)) )
| ~ r1_tarski(X0,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_142565,c_6743]) ).
tcf(c_150076,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(X0))) = k1_funct_1(sK4,sK5(sK2,sK12(X0))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142565,c_116416]) ).
tcf(c_150077,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(X0))) = k2_tex_4(sK2,sK5(sK2,sK12(X0))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142565,c_116010]) ).
tcf(c_150078,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK12(X0),iPr_def_20)
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142565,c_114679]) ).
tcf(c_150079,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(X0))) = k1_tarski(sK5(sK2,sK12(X0))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142565,c_115716]) ).
tcf(c_150080,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK2)
| ~ r1_tarski(X0,iPr_def_21)
| ~ v1_tsp_2(sK12(X0),sK2) ),
inference(superposition,[status(thm)],[c_142565,c_116313]) ).
tcf(c_150081,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(X0))))) = k2_tex_4(sK2,sK5(sK2,sK12(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(X0))),k4_tex_4(sK2,sK5(sK2,sK12(X0)))) = k1_struct_0(sK2,sK5(sK2,sK12(X0))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142565,c_114117]) ).
tcf(c_150082,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(X0)) = k1_funct_1(sK4,sK12(X0)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_142565,c_116408]) ).
tcf(c_150083,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_tex_4(sK2,sK12(X0)) = k2_tex_4(sK2,sK12(X0)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_142565,c_116002]) ).
tcf(c_150084,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_struct_0(sK2,sK12(X0)) = k1_tarski(sK12(X0)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_142565,c_115708]) ).
tcf(c_150085,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(X0)))) = k2_tex_4(sK2,sK12(X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(X0)),k4_tex_4(sK2,sK12(X0))) = k1_struct_0(sK2,sK12(X0)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_142565,c_114071]) ).
tcf(c_150086,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(X0))) = k2_tex_4(sK3,sK5(sK3,sK12(X0))) )
| ~ r1_tarski(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_142565,c_116042]) ).
tcf(c_150087,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(X0))) = k1_tarski(sK5(sK3,sK12(X0))) )
| ~ r1_tarski(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_142565,c_115769]) ).
tcf(c_150088,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK12(X0),iPr_def_18)
| ~ r1_tarski(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_142565,c_114678]) ).
tcf(c_150089,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(sK12(X0),sK3)
| ~ r1_tarski(X0,iPr_def_19)
| ~ v1_tsp_2(sK12(X0),sK3) ),
inference(superposition,[status(thm)],[c_142565,c_116308]) ).
tcf(c_150090,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k4_tex_4(sK3,sK12(X0)) = k2_tex_4(sK3,sK12(X0)) )
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_142565,c_116034]) ).
tcf(c_150091,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_struct_0(sK3,sK12(X0)) = k1_tarski(sK12(X0)) )
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_142565,c_115761]) ).
tcf(c_150092,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK12(X0),iPr_def_28)
| ~ r1_tarski(X0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_142565,c_114680]) ).
tcf(c_150105,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150068,c_186]) ).
tcf(c_150296,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_149327,c_152]) ).
tcf(c_150300,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_149327,c_8259]) ).
tcf(c_150301,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_149327,c_8246]) ).
tcf(c_150304,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_150301,c_116663,c_8268]) ).
tcf(c_150305,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_150300,c_149719,c_149720]) ).
tcf(c_150306,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150305,c_119983]) ).
tcf(c_150317,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| v1_tsp_1(sK12(k1_zfmisc_1(k1_xboole_0)),sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_143635,c_150080]) ).
tcf(c_150318,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_150317,c_143635]) ).
tcf(c_150327,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_147596]) ).
tcf(c_150328,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131382,c_147596]) ).
tcf(c_150345,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_119982,c_147646]) ).
tcf(c_150346,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK5(sK3,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK3,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_131639,c_147646]) ).
tcf(c_150426,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,iPr_def_30))) = k2_tex_4(sK2,iPr_def_30) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,iPr_def_30)) = iPr_def_31 ) ),
inference(light_normalisation,[status(thm)],[c_122523,c_122521,c_122524]) ).
tcf(c_150437,plain,
sK12(k1_zfmisc_1(sK22(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_143636]) ).
tcf(c_150438,plain,
sK12(k1_zfmisc_1(sK22(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_143636]) ).
tcf(c_150439,plain,
sK12(k1_zfmisc_1(sK22(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_143636]) ).
tcf(c_150440,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_143636]) ).
tcf(c_150441,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_143636]) ).
tcf(c_150457,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_18,sK5(sK3,X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_115274,c_144958]) ).
tcf(c_150458,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK5(sK2,X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_115275,c_144958]) ).
tcf(c_150459,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_144958]) ).
tcf(c_150477,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,sK12(X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_119168,c_144958]) ).
tcf(c_150483,plain,
~ r1_tarski(iPr_def_18,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_144510,c_144958]) ).
tcf(c_150488,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_144958]) ).
tcf(c_150530,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_145140,c_142564]) ).
tcf(c_150531,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145140,c_117091]) ).
tcf(c_150532,plain,
( ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_133077]) ).
tcf(c_150533,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_145140,c_125044]) ).
tcf(c_150534,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_145140,c_114653]) ).
tcf(c_150535,plain,
( ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_133078]) ).
tcf(c_150536,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_145140,c_125045]) ).
tcf(c_150537,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_145140,c_114654]) ).
tcf(c_150538,plain,
( ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_133079]) ).
tcf(c_150539,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_145140,c_125046]) ).
tcf(c_150540,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_145140,c_114655]) ).
tcf(c_150541,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_18,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_150540,c_8235]) ).
tcf(c_150544,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_29)
| ~ r1_tarski(iPr_def_18,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_150539,c_8235]) ).
tcf(c_150547,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_150537,c_8227]) ).
tcf(c_150550,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_21)
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_150536,c_8227]) ).
tcf(c_150553,plain,
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_150534,c_8225]) ).
tcf(c_150556,plain,
( r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_19)
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_150533,c_8225]) ).
tcf(c_150559,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_150538,c_8235]) ).
tcf(c_150562,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_150535,c_8227]) ).
tcf(c_150565,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_150532,c_8225]) ).
tcf(c_150637,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146665,c_117374]) ).
tcf(c_150638,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_146665,c_119339]) ).
tcf(c_150639,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146665,c_114501]) ).
tcf(c_150640,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21)
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_146665,c_113891]) ).
tcf(c_150641,plain,
( ( k1_xboole_0 = iPr_def_22 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150637,c_8249]) ).
tcf(c_150645,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150638,c_8249]) ).
tcf(c_150650,plain,
! [X0: $i] :
( r1_tarski(iPr_def_22,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150639,c_8249]) ).
tcf(c_150654,plain,
( v1_tsp_1(iPr_def_22,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK5(sK3,iPr_def_22))) = k1_struct_0(sK2,sK5(sK3,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150640,c_8249]) ).
tcf(c_150663,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146666,c_117374]) ).
tcf(c_150664,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_146666,c_119339]) ).
tcf(c_150665,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146666,c_114501]) ).
tcf(c_150666,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21)
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_146666,c_113891]) ).
tcf(c_150667,plain,
( ( k1_xboole_0 = iPr_def_23 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150663,c_8251]) ).
tcf(c_150671,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150664,c_8251]) ).
tcf(c_150676,plain,
! [X0: $i] :
( r1_tarski(iPr_def_23,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150665,c_8251]) ).
tcf(c_150680,plain,
( v1_tsp_1(iPr_def_23,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK5(sK3,iPr_def_23))) = k1_struct_0(sK2,sK5(sK3,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150666,c_8251]) ).
tcf(c_150689,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146667,c_117374]) ).
tcf(c_150690,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ v1_tsp_2(X0,sK2) ),
inference(superposition,[status(thm)],[c_146667,c_119339]) ).
tcf(c_150691,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146667,c_114501]) ).
tcf(c_150692,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21)
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_146667,c_113891]) ).
tcf(c_150693,plain,
( ( k1_xboole_0 = iPr_def_24 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150689,c_8253]) ).
tcf(c_150697,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150690,c_8253]) ).
tcf(c_150702,plain,
! [X0: $i] :
( r1_tarski(iPr_def_24,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150691,c_8253]) ).
tcf(c_150706,plain,
( v1_tsp_1(iPr_def_24,sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK5(sK3,iPr_def_24))) = k1_struct_0(sK2,sK5(sK3,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150692,c_8253]) ).
tcf(c_150747,plain,
( r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_144381,c_121406]) ).
tcf(c_150748,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_144381,c_124185]) ).
tcf(c_150749,plain,
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_144381,c_115986]) ).
tcf(c_150750,plain,
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_144381,c_115978]) ).
tcf(c_150751,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_144381,c_115087]) ).
tcf(c_150752,plain,
~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_150751,c_144158]) ).
tcf(c_150753,plain,
m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_150750,c_144158]) ).
tcf(c_150754,plain,
r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_150749,c_144158]) ).
tcf(c_150755,plain,
r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_150747,c_144158]) ).
tcf(c_150756,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_150748,c_144158]) ).
tcf(c_150758,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_150753,c_116042]) ).
tcf(c_150759,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_150753,c_115769]) ).
tcf(c_150761,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3) ),
inference(superposition,[status(thm)],[c_150753,c_116308]) ).
tcf(c_150778,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_150754,c_152]) ).
tcf(c_150782,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_150754,c_8259]) ).
tcf(c_150783,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_150754,c_8246]) ).
tcf(c_150826,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_150755,c_117091]) ).
tcf(c_150830,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150826,c_116663,c_8268]) ).
tcf(c_150895,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_149731,c_301]) ).
tcf(c_150896,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = X1 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_149731,c_158]) ).
tcf(c_150897,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK7(X0,k2_tex_4(sK2,sK12(iPr_def_20))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_149731,c_155]) ).
tcf(c_150898,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| v1_tsp_1(sK7(X0,k2_tex_4(sK2,sK12(iPr_def_20))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_149731,c_154]) ).
tcf(c_150899,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_149731,c_157]) ).
tcf(c_150900,plain,
( ( k1_struct_0(sK20,k2_tex_4(sK2,sK12(iPr_def_20))) = k1_tarski(k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_149731,c_6743]) ).
tcf(c_150905,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_149731,c_116313]) ).
tcf(c_150907,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k2_tex_4(sK2,sK12(iPr_def_20))) = k1_funct_1(sK4,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149731,c_116408]) ).
tcf(c_150908,plain,
( ( k4_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) = k2_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149731,c_116002]) ).
tcf(c_150909,plain,
( ( k1_struct_0(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) = k1_tarski(k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149731,c_115708]) ).
tcf(c_150910,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20))))) = k2_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),k4_tex_4(sK2,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_struct_0(sK2,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149731,c_114071]) ).
tcf(c_150911,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_149731,c_116042]) ).
tcf(c_150912,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) = k1_tarski(sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_149731,c_115769]) ).
tcf(c_150913,plain,
( r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_149731,c_114678]) ).
tcf(c_150914,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK3) ),
inference(superposition,[status(thm)],[c_149731,c_116308]) ).
tcf(c_150915,plain,
( ( k4_tex_4(sK3,k2_tex_4(sK2,sK12(iPr_def_20))) = k2_tex_4(sK3,k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_149731,c_116034]) ).
tcf(c_150916,plain,
( ( k1_struct_0(sK3,k2_tex_4(sK2,sK12(iPr_def_20))) = k1_tarski(k2_tex_4(sK2,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_149731,c_115761]) ).
tcf(c_150917,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_149731,c_114051]) ).
tcf(c_150918,plain,
( r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_149731,c_114680]) ).
tcf(c_150951,plain,
( v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ( k2_tex_4(sK2,sK5(sK3,k2_tex_4(sK2,sK12(iPr_def_20)))) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150917,c_173]) ).
tcf(c_151014,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_149893,c_301]) ).
tcf(c_151015,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = X1 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),X0) ),
inference(superposition,[status(thm)],[c_149893,c_158]) ).
tcf(c_151016,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),sK7(X0,k2_tex_4(sK3,sK12(iPr_def_18))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),X0) ),
inference(superposition,[status(thm)],[c_149893,c_155]) ).
tcf(c_151017,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| v1_tsp_1(sK7(X0,k2_tex_4(sK3,sK12(iPr_def_18))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),X0) ),
inference(superposition,[status(thm)],[c_149893,c_154]) ).
tcf(c_151018,plain,
! [X0: $i] :
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),X0) ),
inference(superposition,[status(thm)],[c_149893,c_157]) ).
tcf(c_151019,plain,
( ( k1_struct_0(sK20,k2_tex_4(sK3,sK12(iPr_def_18))) = k1_tarski(k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_149893,c_6743]) ).
tcf(c_151020,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_149893,c_116416]) ).
tcf(c_151021,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_149893,c_116010]) ).
tcf(c_151022,plain,
( r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_149893,c_114679]) ).
tcf(c_151023,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_tarski(sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_149893,c_115716]) ).
tcf(c_151024,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK2) ),
inference(superposition,[status(thm)],[c_149893,c_116313]) ).
tcf(c_151025,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18))))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_149893,c_114117]) ).
tcf(c_151026,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k2_tex_4(sK3,sK12(iPr_def_18))) = k1_funct_1(sK4,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149893,c_116408]) ).
tcf(c_151027,plain,
( ( k4_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) = k2_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149893,c_116002]) ).
tcf(c_151028,plain,
( ( k1_struct_0(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) = k1_tarski(k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149893,c_115708]) ).
tcf(c_151029,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18))))) = k2_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18))),k4_tex_4(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k1_struct_0(sK2,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_149893,c_114071]) ).
tcf(c_151033,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK3) ),
inference(superposition,[status(thm)],[c_149893,c_116308]) ).
tcf(c_151034,plain,
( ( k4_tex_4(sK3,k2_tex_4(sK3,sK12(iPr_def_18))) = k2_tex_4(sK3,k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_149893,c_116034]) ).
tcf(c_151035,plain,
( ( k1_struct_0(sK3,k2_tex_4(sK3,sK12(iPr_def_18))) = k1_tarski(k2_tex_4(sK3,sK12(iPr_def_18))) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_149893,c_115761]) ).
tcf(c_151036,plain,
( r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_149893,c_114680]) ).
tcf(c_151170,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150296,c_152]) ).
tcf(c_151171,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_18,X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_61]) ).
tcf(c_151173,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_150296,c_292]) ).
tcf(c_151174,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_150296,c_8259]) ).
tcf(c_151175,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_150296,c_8246]) ).
tcf(c_151176,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_150296,c_8258]) ).
tcf(c_151177,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_150296,c_8245]) ).
tcf(c_151178,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_18,sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_150296,c_114471]) ).
tcf(c_151179,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_150296,c_114472]) ).
tcf(c_151180,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,sK6(k1_funct_1(sK4,sK12(iPr_def_20)),X0)) ),
inference(superposition,[status(thm)],[c_150296,c_114497]) ).
tcf(c_151181,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_115529]) ).
tcf(c_151183,plain,
( ~ r1_tarski(iPr_def_18,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_127905]) ).
tcf(c_151184,plain,
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,sK12(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_150296,c_119169]) ).
tcf(c_151186,plain,
( ~ r1_tarski(iPr_def_18,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_125947]) ).
tcf(c_151191,plain,
( ~ r1_tarski(iPr_def_18,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_126913]) ).
tcf(c_151192,plain,
( ~ r1_tarski(iPr_def_18,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_127040]) ).
tcf(c_151193,plain,
( ~ r1_tarski(iPr_def_18,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_127267]) ).
tcf(c_151194,plain,
( ~ r1_tarski(iPr_def_18,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_127375]) ).
tcf(c_151196,plain,
( ~ r1_tarski(iPr_def_18,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_128180]) ).
tcf(c_151197,plain,
( ~ r1_tarski(iPr_def_18,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_131210]) ).
tcf(c_151198,plain,
( ~ r1_tarski(iPr_def_18,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_131277]) ).
tcf(c_151201,plain,
( ~ r1_tarski(iPr_def_18,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_131706]) ).
tcf(c_151202,plain,
( ~ r1_tarski(iPr_def_18,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_131771]) ).
tcf(c_151203,plain,
( ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_134036]) ).
tcf(c_151206,plain,
( ~ r1_tarski(iPr_def_18,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_137793]) ).
tcf(c_151260,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151176,c_149326]) ).
tcf(c_151268,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_151174,c_149719,c_149720]) ).
tcf(c_151380,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_151173,c_301]) ).
tcf(c_151381,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = X1 )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_151173,c_158]) ).
tcf(c_151382,plain,
! [X0: $i] :
( v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),sK7(X0,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_151173,c_155]) ).
tcf(c_151383,plain,
! [X0: $i] :
( v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| v1_tsp_1(sK7(X0,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_151173,c_154]) ).
tcf(c_151384,plain,
! [X0: $i] :
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_151173,c_157]) ).
tcf(c_151385,plain,
( ( k1_struct_0(sK20,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_151173,c_6743]) ).
tcf(c_151386,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_funct_1(sK4,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151173,c_116416]) ).
tcf(c_151387,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151173,c_116010]) ).
tcf(c_151388,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151173,c_114679]) ).
tcf(c_151389,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151173,c_115716]) ).
tcf(c_151390,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2) ),
inference(superposition,[status(thm)],[c_151173,c_116313]) ).
tcf(c_151391,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))) = k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,sK5(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151173,c_114117]) ).
tcf(c_151392,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151173,c_116408]) ).
tcf(c_151393,plain,
( ( k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151173,c_116002]) ).
tcf(c_151394,plain,
( ( k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151173,c_115708]) ).
tcf(c_151395,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ r1_tarski(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151173,c_114071]) ).
tcf(c_151396,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK3,sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151173,c_116042]) ).
tcf(c_151397,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(sK5(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151173,c_115769]) ).
tcf(c_151398,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151173,c_114678]) ).
tcf(c_151399,plain,
( v1_tsp_1(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ~ r1_tarski(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK3) ),
inference(superposition,[status(thm)],[c_151173,c_116308]) ).
tcf(c_151402,plain,
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_28)
| ~ r1_tarski(iPr_def_18,iPr_def_29) ),
inference(superposition,[status(thm)],[c_151173,c_114680]) ).
tcf(c_151414,plain,
k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_151394,c_121715]) ).
tcf(c_151418,plain,
k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_151393,c_121715]) ).
tcf(c_151421,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_151392,c_121715]) ).
tcf(c_151458,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151395,c_121715]) ).
tcf(c_151612,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))) ),
inference(superposition,[status(thm)],[c_8238,c_119176]) ).
tcf(c_151613,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_119176]) ).
tcf(c_151614,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116009,c_119176]) ).
tcf(c_151615,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27))
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK12(iPr_def_30)) ),
inference(superposition,[status(thm)],[c_8236,c_119176]) ).
tcf(c_151616,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK12(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116415,c_119176]) ).
tcf(c_151617,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK12(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122520,c_119176]) ).
tcf(c_151618,plain,
( v1_xboole_0(iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_151615,c_8236,c_8238]) ).
tcf(c_151619,plain,
( v1_xboole_0(iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151618,c_8266]) ).
tcf(c_151622,plain,
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_151617,c_122520,c_122521]) ).
tcf(c_151623,plain,
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151622,c_122454]) ).
tcf(c_151630,plain,
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_151616,c_116009,c_116415]) ).
tcf(c_151631,plain,
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151630,c_173]) ).
tcf(c_151643,plain,
( r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_144382,c_121407]) ).
tcf(c_151644,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_144382,c_124571]) ).
tcf(c_151645,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_144382,c_115999]) ).
tcf(c_151646,plain,
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_144382,c_115989]) ).
tcf(c_151647,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_151646,c_144158]) ).
tcf(c_151648,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_151645,c_144158]) ).
tcf(c_151649,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_151643,c_144158]) ).
tcf(c_151650,plain,
~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_151644,c_144158]) ).
tcf(c_151652,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_151647,c_116042]) ).
tcf(c_151653,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_151647,c_115769]) ).
tcf(c_151655,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3) ),
inference(superposition,[status(thm)],[c_151647,c_116308]) ).
tcf(c_151673,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| m1_subset_1(sK6(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_1178]) ).
tcf(c_151677,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_113835,c_1178]) ).
tcf(c_151678,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_113880,c_1178]) ).
tcf(c_151680,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114884,c_1178]) ).
tcf(c_151682,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK16(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114875,c_1178]) ).
tcf(c_151683,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK22(X0),X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114892,c_1178]) ).
tcf(c_151685,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK11(X0,X1),X2)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_114891,c_1178]) ).
tcf(c_151686,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK13(X0,X1),X2)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_114890,c_1178]) ).
tcf(c_151687,plain,
! [X0: $i] :
( m1_subset_1(sK23(sK20),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_114874,c_1178]) ).
tcf(c_151688,plain,
! [X0: $i] :
( m1_subset_1(sK26(sK20),X0)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_114910,c_1178]) ).
tcf(c_151689,plain,
! [X0: $i] :
( m1_subset_1(sK21(sK20),X0)
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_114906,c_1178]) ).
tcf(c_151690,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_17,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114864,c_1178]) ).
tcf(c_151691,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114899,c_1178]) ).
tcf(c_151692,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_22,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114863,c_1178]) ).
tcf(c_151693,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_23,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114862,c_1178]) ).
tcf(c_151694,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_24,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114861,c_1178]) ).
tcf(c_151695,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_25,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114860,c_1178]) ).
tcf(c_151696,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_26,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114859,c_1178]) ).
tcf(c_151697,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_114858,c_1178]) ).
tcf(c_151698,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114857,c_1178]) ).
tcf(c_151699,plain,
! [X0: $i] :
( m1_subset_1(sK4,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114856,c_1178]) ).
tcf(c_151701,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114881,c_1178]) ).
tcf(c_151704,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_32,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114855,c_1178]) ).
tcf(c_151707,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_18,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114887,c_1178]) ).
tcf(c_151708,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_xboole_0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114871,c_1178]) ).
tcf(c_151709,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114854,c_1178]) ).
tcf(c_151710,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114853,c_1178]) ).
tcf(c_151711,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114852,c_1178]) ).
tcf(c_151712,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_114851,c_1178]) ).
tcf(c_151713,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_struct_0(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114878,c_1178]) ).
tcf(c_151714,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(sK10(X0)),X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114903,c_1178]) ).
tcf(c_151715,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(sK14(X0)),X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115078,c_1178]) ).
tcf(c_151716,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),X2)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_1178]) ).
tcf(c_151717,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X0,sK2)
| m1_subset_1(sK5(sK2,X0),X2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_1178]) ).
tcf(c_151718,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X2),X1)
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(X2,iPr_def_20)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_132457,c_1178]) ).
tcf(c_151719,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_1178]) ).
tcf(c_151722,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK17(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115362,c_1178]) ).
tcf(c_151723,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK19(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115388,c_1178]) ).
tcf(c_151724,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK25(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115433,c_1178]) ).
tcf(c_151725,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK16(iPr_def_20),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115799,c_1178]) ).
tcf(c_151729,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK16(iPr_def_18),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115952,c_1178]) ).
tcf(c_151730,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_struct_0(sK20,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(sK20))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_115758,c_1178]) ).
tcf(c_151731,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k4_tex_4(sK3,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115986,c_1178]) ).
tcf(c_151733,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK13(iPr_def_20,iPr_def_18),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_116220,c_1178]) ).
tcf(c_151734,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_struct_0(sK3,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_115999,c_1178]) ).
tcf(c_151735,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k2_tex_4(X0,X2),X1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_116255,c_1178]) ).
tcf(c_151736,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_116064,c_1178]) ).
tcf(c_151737,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116625,c_1178]) ).
tcf(c_151738,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK11(iPr_def_20,iPr_def_18),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_116789,c_1178]) ).
tcf(c_151741,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK7(sK2,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117332,c_1178]) ).
tcf(c_151742,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK17(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117727,c_1178]) ).
tcf(c_151746,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK19(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117747,c_1178]) ).
tcf(c_151747,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_117916,c_1178]) ).
tcf(c_151748,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK25(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117775,c_1178]) ).
tcf(c_151749,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK17(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_117792,c_1178]) ).
tcf(c_151750,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK19(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118028,c_1178]) ).
tcf(c_151751,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK25(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118042,c_1178]) ).
tcf(c_151754,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(sK10(sK2)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118070,c_1178]) ).
tcf(c_151755,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(sK14(sK2)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118120,c_1178]) ).
tcf(c_151756,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK3,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_118603,c_1178]) ).
tcf(c_151757,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(sK10(sK3)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118488,c_1178]) ).
tcf(c_151758,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(u1_struct_0(sK14(sK3)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118635,c_1178]) ).
tcf(c_151760,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK16(iPr_def_28),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_118672,c_1178]) ).
tcf(c_151761,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK12(X0),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_1178]) ).
tcf(c_151762,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_119244,c_1178]) ).
tcf(c_151763,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120102,c_1178]) ).
tcf(c_151764,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120144,c_1178]) ).
tcf(c_151765,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_20,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120379,c_1178]) ).
tcf(c_151766,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120455,c_1178]) ).
tcf(c_151767,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_28,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_121117,c_1178]) ).
tcf(c_151768,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_121144,c_1178]) ).
tcf(c_151769,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| m1_subset_1(iPr_def_30,X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_121962,c_1178]) ).
tcf(c_151770,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_20,sK2)
| m1_subset_1(iPr_def_27,X0)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_20),X0) ),
inference(superposition,[status(thm)],[c_122156,c_1178]) ).
tcf(c_151771,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_32,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_122897,c_1178]) ).
tcf(c_151772,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_122913,c_1178]) ).
tcf(c_151773,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123045,c_1178]) ).
tcf(c_151774,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_122205,c_1178]) ).
tcf(c_151775,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_122541,c_1178]) ).
tcf(c_151776,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_123061,c_1178]) ).
tcf(c_151777,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK4,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_122182,c_1178]) ).
tcf(c_151778,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_122166,c_1178]) ).
tcf(c_151779,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_26,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_122110,c_1178]) ).
tcf(c_151780,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_25,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_123374,c_1178]) ).
tcf(c_151781,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_24,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123390,c_1178]) ).
tcf(c_151783,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_23,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123406,c_1178]) ).
tcf(c_151784,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_123915,c_1178]) ).
tcf(c_151785,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_22,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_123680,c_1178]) ).
tcf(c_151786,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_17,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_123734,c_1178]) ).
tcf(c_151787,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_123965,c_1178]) ).
tcf(c_151788,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| m1_subset_1(iPr_def_27,X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_124216,c_1178]) ).
tcf(c_151789,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_124226,c_1178]) ).
tcf(c_151790,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_20,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_124242,c_1178]) ).
tcf(c_151791,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(iPr_def_28,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_124264,c_1178]) ).
tcf(c_151792,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_20,sK2)
| m1_subset_1(iPr_def_30,X0)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_20),X0) ),
inference(superposition,[status(thm)],[c_124612,c_1178]) ).
tcf(c_151793,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_124628,c_1178]) ).
tcf(c_151794,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK12(iPr_def_19),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125628,c_1178]) ).
tcf(c_151795,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK12(iPr_def_21),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125662,c_1178]) ).
tcf(c_151797,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK12(iPr_def_29),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125687,c_1178]) ).
tcf(c_151798,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_xboole_0,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_126655,c_1178]) ).
tcf(c_151800,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK3,iPr_def_30),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_126300,c_1178]) ).
tcf(c_151803,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_144510,c_1178]) ).
tcf(c_151804,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK2,iPr_def_30),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_127743,c_1178]) ).
tcf(c_151806,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_131043,c_1178]) ).
tcf(c_151808,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_131131,c_1178]) ).
tcf(c_151809,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_32,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_139458,c_1178]) ).
tcf(c_151810,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_140348,c_1178]) ).
tcf(c_151811,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_xboole_0,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_140480,c_1178]) ).
tcf(c_151812,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(k1_xboole_0,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_141080,c_1178]) ).
tcf(c_151813,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK4,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_139330,c_1178]) ).
tcf(c_151814,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_18,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_138297,c_1178]) ).
tcf(c_151815,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_26,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_138158,c_1178]) ).
tcf(c_151816,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_25,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_141230,c_1178]) ).
tcf(c_151817,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_24,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_141917,c_1178]) ).
tcf(c_151818,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_23,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_142018,c_1178]) ).
tcf(c_151819,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_22,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_142215,c_1178]) ).
tcf(c_151820,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_17,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_142365,c_1178]) ).
tcf(c_151823,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150296,c_1178]) ).
tcf(c_151824,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_141738,c_1178]) ).
tcf(c_151825,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_31,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_142482,c_1178]) ).
tcf(c_151826,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_18,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_143565,c_1178]) ).
tcf(c_151827,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_20,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_144551,c_1178]) ).
tcf(c_151829,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_142118,c_1178]) ).
tcf(c_151830,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(iPr_def_28,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_144680,c_1178]) ).
tcf(c_151831,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_31,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_144895,c_1178]) ).
tcf(c_151832,plain,
! [X0: $i] :
( m1_subset_1(sK23(sK20),X0)
| v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),X0) ),
inference(superposition,[status(thm)],[c_142537,c_1178]) ).
tcf(c_151833,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_143333,c_1178]) ).
tcf(c_151834,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_143660,c_1178]) ).
tcf(c_151835,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_143680,c_1178]) ).
tcf(c_151836,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_147699,c_1178]) ).
tcf(c_151839,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_150754,c_1178]) ).
tcf(c_152783,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_151,c_1179]) ).
tcf(c_152787,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_113835,c_1179]) ).
tcf(c_152788,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_113880,c_1179]) ).
tcf(c_152790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114884,c_1179]) ).
tcf(c_152795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X2)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_114891,c_1179]) ).
tcf(c_152801,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114899,c_1179]) ).
tcf(c_152817,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_18,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114887,c_1179]) ).
tcf(c_152818,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_114871,c_1179]) ).
tcf(c_152824,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114903,c_1179]) ).
tcf(c_152826,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115274,c_1179]) ).
tcf(c_152827,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115275,c_1179]) ).
tcf(c_152828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(X2,iPr_def_20)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_132457,c_1179]) ).
tcf(c_152829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(k4_tex_4(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_115276,c_1179]) ).
tcf(c_152832,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_115362,c_1179]) ).
tcf(c_152840,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(sK20))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_115758,c_1179]) ).
tcf(c_152845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_116255,c_1179]) ).
tcf(c_152847,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116625,c_1179]) ).
tcf(c_152851,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_117332,c_1179]) ).
tcf(c_152857,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,k4_tex_4(sK2,X0))),X1) ),
inference(superposition,[status(thm)],[c_117916,c_1179]) ).
tcf(c_152866,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_118603,c_1179]) ).
tcf(c_152871,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_119168,c_1179]) ).
tcf(c_152884,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_122205,c_1179]) ).
tcf(c_152898,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_124216,c_1179]) ).
tcf(c_152899,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_124226,c_1179]) ).
tcf(c_152901,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_124264,c_1179]) ).
tcf(c_152902,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_20,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_20),X0) ),
inference(superposition,[status(thm)],[c_124612,c_1179]) ).
tcf(c_152903,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_124628,c_1179]) ).
tcf(c_152907,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_125687,c_1179]) ).
tcf(c_152908,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_126655,c_1179]) ).
tcf(c_152933,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150296,c_1179]) ).
tcf(c_152934,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_141738,c_1179]) ).
tcf(c_152935,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_142482,c_1179]) ).
tcf(c_152939,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_142118,c_1179]) ).
tcf(c_152940,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_144680,c_1179]) ).
tcf(c_152941,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_144895,c_1179]) ).
tcf(c_152942,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(sK20)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(u1_struct_0(sK20))),X0) ),
inference(superposition,[status(thm)],[c_142537,c_1179]) ).
tcf(c_152943,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_143333,c_1179]) ).
tcf(c_152944,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_143660,c_1179]) ).
tcf(c_152945,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_143680,c_1179]) ).
tcf(c_152946,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_147699,c_1179]) ).
tcf(c_153281,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_151648,c_1178]) ).
tcf(c_153282,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_151648,c_152]) ).
tcf(c_153286,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151648,c_8259]) ).
tcf(c_153287,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151648,c_8246]) ).
tcf(c_153319,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151649,c_117091]) ).
tcf(c_153323,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153319,c_116663,c_8268]) ).
tcf(c_153334,plain,
( v1_tsp_2(iPr_def_19,sK3)
| m1_subset_1(iPr_def_17,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151690]) ).
tcf(c_153347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_152829]) ).
tcf(c_153350,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_116849,c_152829]) ).
tcf(c_153351,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(sK7(sK3,k4_tex_4(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_116843,c_152829]) ).
tcf(c_153352,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8238,c_152829]) ).
tcf(c_153353,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122521,c_152829]) ).
tcf(c_153354,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116009,c_152829]) ).
tcf(c_153355,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153352,c_8266]) ).
tcf(c_153363,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153353,c_122454]) ).
tcf(c_153367,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153354,c_173]) ).
tcf(c_153394,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_151719]) ).
tcf(c_153397,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_116849,c_151719]) ).
tcf(c_153398,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(sK7(sK3,k4_tex_4(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_116843,c_151719]) ).
tcf(c_153399,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_8238,c_151719]) ).
tcf(c_153400,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(superposition,[status(thm)],[c_122521,c_151719]) ).
tcf(c_153401,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(superposition,[status(thm)],[c_116009,c_151719]) ).
tcf(c_153402,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_153399,c_8236]) ).
tcf(c_153403,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153402,c_8266]) ).
tcf(c_153411,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(light_normalisation,[status(thm)],[c_153400,c_122520]) ).
tcf(c_153412,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153411,c_122454]) ).
tcf(c_153416,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(light_normalisation,[status(thm)],[c_153401,c_116415]) ).
tcf(c_153417,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153416,c_173]) ).
tcf(c_153449,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153350,c_114453]) ).
tcf(c_153465,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(superposition,[status(thm)],[c_114498,c_153449]) ).
tcf(c_153468,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,k4_tex_4(sK2,X0)))) ),
inference(superposition,[status(thm)],[c_116843,c_153449]) ).
tcf(c_153469,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK2,sK6(sK7(sK2,k4_tex_4(sK2,X0)),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,k4_tex_4(sK2,X0)),X1)) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_153449]) ).
tcf(c_153471,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_8238,c_153449]) ).
tcf(c_153472,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_122521,c_153449]) ).
tcf(c_153473,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_116009,c_153449]) ).
tcf(c_153474,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(light_normalisation,[status(thm)],[c_153471,c_8238]) ).
tcf(c_153481,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_153472,c_122521]) ).
tcf(c_153482,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153481,c_122454]) ).
tcf(c_153487,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_153473,c_116009]) ).
tcf(c_153488,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153487,c_173]) ).
tcf(c_153512,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153397,c_114453]) ).
tcf(c_153528,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,X0))) ),
inference(superposition,[status(thm)],[c_114498,c_153512]) ).
tcf(c_153529,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(sK2,k4_tex_4(sK2,X0)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_289,c_153512]) ).
tcf(c_153531,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK7(sK3,sK7(sK2,k4_tex_4(sK2,X0))))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_153512]) ).
tcf(c_153532,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK2,sK6(sK7(sK2,k4_tex_4(sK2,X0)),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,k4_tex_4(sK2,X0)),X1)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_153512]) ).
tcf(c_153533,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_153512]) ).
tcf(c_153534,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,iPr_def_27),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_27),sK2)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(superposition,[status(thm)],[c_8238,c_153512]) ).
tcf(c_153535,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,iPr_def_30),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_122521,c_153512]) ).
tcf(c_153536,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_116009,c_153512]) ).
tcf(c_153541,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_32,sK2)
| m1_subset_1(iPr_def_30,X0)
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(sK7(sK2,iPr_def_32),X0) ),
inference(light_normalisation,[status(thm)],[c_153534,c_8236,c_8238]) ).
tcf(c_153553,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_153535,c_122520,c_122521]) ).
tcf(c_153554,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153553,c_122454]) ).
tcf(c_153559,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_153536,c_116009,c_116415]) ).
tcf(c_153560,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,sK12(iPr_def_20))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153559,c_173]) ).
tcf(c_153600,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_32,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151771]) ).
tcf(c_153603,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_32,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151771]) ).
tcf(c_153604,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_32,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151771]) ).
tcf(c_153605,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_32,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151771]) ).
tcf(c_153646,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151772]) ).
tcf(c_153649,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151772]) ).
tcf(c_153650,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151772]) ).
tcf(c_153651,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151772]) ).
tcf(c_153676,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)),
inference(light_normalisation,[status(thm)],[c_144518,c_145173,c_145177]) ).
tcf(c_153683,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114498,c_152783]) ).
tcf(c_153686,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK22(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_152783]) ).
tcf(c_153687,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK11(X0,X1),X2)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_152783]) ).
tcf(c_153688,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK13(X0,X1),X2)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_152783]) ).
tcf(c_153689,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(X0)),X1)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_114769,c_152783]) ).
tcf(c_153690,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(X0)),X1)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115071,c_152783]) ).
tcf(c_153692,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X2)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_152783]) ).
tcf(c_153693,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X2)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_152783]) ).
tcf(c_153694,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114667,c_152783]) ).
tcf(c_153695,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_xboole_0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_114677,c_152783]) ).
tcf(c_153696,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147592,c_152783]) ).
tcf(c_153698,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132626,c_152783]) ).
tcf(c_153699,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120927,c_152783]) ).
tcf(c_153700,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115010,c_152783]) ).
tcf(c_153701,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147642,c_152783]) ).
tcf(c_153703,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132652,c_152783]) ).
tcf(c_153704,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120961,c_152783]) ).
tcf(c_153705,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115177,c_152783]) ).
tcf(c_153706,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_115617,c_152783]) ).
tcf(c_153708,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147481,c_152783]) ).
tcf(c_153709,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132263,c_152783]) ).
tcf(c_153710,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120813,c_152783]) ).
tcf(c_153711,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_115941,c_152783]) ).
tcf(c_153712,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147507,c_152783]) ).
tcf(c_153713,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132547,c_152783]) ).
tcf(c_153714,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120853,c_152783]) ).
tcf(c_153715,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_116130,c_152783]) ).
tcf(c_153716,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_147546,c_152783]) ).
tcf(c_153717,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_132573,c_152783]) ).
tcf(c_153718,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_120879,c_152783]) ).
tcf(c_153719,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_116149,c_152783]) ).
tcf(c_153720,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116849,c_152783]) ).
tcf(c_153721,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK3)
| r1_tarski(X0,X1)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116843,c_152783]) ).
tcf(c_153724,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),X2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_152783]) ).
tcf(c_153765,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| r1_tarski(sK6(k1_zfmisc_1(X0),X1),X2)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_124673,c_152783]) ).
tcf(c_153802,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK13(iPr_def_20,iPr_def_18),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_138461,c_152783]) ).
tcf(c_153803,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK11(iPr_def_20,iPr_def_18),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_138639,c_152783]) ).
tcf(c_153812,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_145140,c_152783]) ).
tcf(c_154065,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_153282,c_1178]) ).
tcf(c_154066,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_153282,c_152]) ).
tcf(c_154067,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_61]) ).
tcf(c_154070,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_153282,c_8259]) ).
tcf(c_154071,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_153282,c_8246]) ).
tcf(c_154072,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_153282,c_8258]) ).
tcf(c_154073,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_153282,c_8245]) ).
tcf(c_154074,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_153282,c_114471]) ).
tcf(c_154075,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_153282,c_114472]) ).
tcf(c_154076,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,sK6(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_153282,c_114497]) ).
tcf(c_154077,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_115529]) ).
tcf(c_154078,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_128064]) ).
tcf(c_154080,plain,
( v1_xboole_0(k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,sK12(k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_153282,c_119169]) ).
tcf(c_154081,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_125883]) ).
tcf(c_154084,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_126685]) ).
tcf(c_154085,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_126762]) ).
tcf(c_154086,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_126825]) ).
tcf(c_154090,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_127375]) ).
tcf(c_154091,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_127835]) ).
tcf(c_154092,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_128180]) ).
tcf(c_154093,plain,
( ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_131210]) ).
tcf(c_154094,plain,
( ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_131277]) ).
tcf(c_154095,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_131380]) ).
tcf(c_154096,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_131637]) ).
tcf(c_154100,plain,
( ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_135483]) ).
tcf(c_154101,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_137610]) ).
tcf(c_154103,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_144958]) ).
tcf(c_154136,plain,
~ r1_tarski(iPr_def_19,sK12(k1_tarski(k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_154080,c_191]) ).
tcf(c_154151,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_154074,c_151647]) ).
tcf(c_154387,plain,
( ( u1_struct_0(sK20) = sK26(sK20) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(sK26(sK20),sK2)
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(sK26(sK20),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114673,c_117091]) ).
tcf(c_154402,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_22,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151692]) ).
tcf(c_154414,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_23,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151693]) ).
tcf(c_154426,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_24,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151694]) ).
tcf(c_154438,plain,
( v1_tsp_2(iPr_def_19,sK3)
| m1_subset_1(iPr_def_25,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151695]) ).
tcf(c_154529,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151773]) ).
tcf(c_154532,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151773]) ).
tcf(c_154533,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151773]) ).
tcf(c_154534,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151773]) ).
tcf(c_154575,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_151776]) ).
tcf(c_154578,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151776]) ).
tcf(c_154579,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151776]) ).
tcf(c_154580,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151776]) ).
tcf(c_154611,plain,
( r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145173,c_121723]) ).
tcf(c_154612,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145173,c_121683]) ).
tcf(c_154613,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145173,c_114878]) ).
tcf(c_154614,plain,
( v1_tsp_1(k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(superposition,[status(thm)],[c_145173,c_116651]) ).
tcf(c_154615,plain,
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145173,c_114637]) ).
tcf(c_154624,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(light_normalisation,[status(thm)],[c_154614,c_145173]) ).
tcf(c_154652,plain,
( ( u1_struct_0(sK20) = sK21(sK20) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(sK21(sK20),sK2)
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(sK21(sK20),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114674,c_117091]) ).
tcf(c_154679,plain,
! [X0: $i] :
( ( sK22(sK8) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_169,c_115059]) ).
tcf(c_154680,plain,
! [X0: $i] :
( ( sK22(sK3) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8269,c_115059]) ).
tcf(c_154681,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK14(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_115059]) ).
tcf(c_154682,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK10(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_115059]) ).
tcf(c_154705,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_152783]) ).
tcf(c_154706,plain,
! [X0: $i] :
( v1_xboole_0(sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_142564]) ).
tcf(c_154707,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK17(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK17(X0),sK2)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(sK17(X0),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115354,c_117091]) ).
tcf(c_154737,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_152783]) ).
tcf(c_154738,plain,
! [X0: $i] :
( v1_xboole_0(sK19(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_142564]) ).
tcf(c_154739,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK19(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK19(X0),sK2)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(sK19(X0),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115380,c_117091]) ).
tcf(c_154771,plain,
( v1_tsp_2(iPr_def_19,sK3)
| m1_subset_1(iPr_def_26,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151696]) ).
tcf(c_154785,plain,
( v1_tsp_2(iPr_def_20,sK3)
| m1_subset_1(iPr_def_27,sK7(sK3,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151697]) ).
tcf(c_154803,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_18,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151698]) ).
tcf(c_154827,plain,
( v1_tsp_2(iPr_def_29,sK3)
| m1_subset_1(sK4,sK7(sK3,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151699]) ).
tcf(c_154884,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK4,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_151777]) ).
tcf(c_154887,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| m1_subset_1(sK4,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151777]) ).
tcf(c_154888,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK4,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151777]) ).
tcf(c_154889,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK4,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151777]) ).
tcf(c_154936,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151778]) ).
tcf(c_154939,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_18,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151778]) ).
tcf(c_154940,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_18,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151778]) ).
tcf(c_154941,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_18,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151778]) ).
tcf(c_154992,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_26,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151779]) ).
tcf(c_154995,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(iPr_def_26,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151779]) ).
tcf(c_154996,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_26,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151779]) ).
tcf(c_154997,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_26,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151779]) ).
tcf(c_155135,plain,
~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(global_subsumption_just,[status(thm)],[c_154612,c_45359,c_53527]) ).
tcf(c_155145,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_152783]) ).
tcf(c_155146,plain,
! [X0: $i] :
( v1_xboole_0(sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_142564]) ).
tcf(c_155147,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK25(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK25(X0),sK2)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(sK25(X0),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115425,c_117091]) ).
tcf(c_155171,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_115690]) ).
tcf(c_155172,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_115690]) ).
tcf(c_155173,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_115690]) ).
tcf(c_155174,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_115690]) ).
tcf(c_155176,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_115690]) ).
tcf(c_155177,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_32,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_115690]) ).
tcf(c_155178,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_32,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_115690]) ).
tcf(c_155179,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_115690]) ).
tcf(c_155180,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_115690]) ).
tcf(c_155181,plain,
( r2_hidden(iPr_def_30,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_115690]) ).
tcf(c_155182,plain,
( r2_hidden(iPr_def_30,u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_32,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_115690]) ).
tcf(c_155183,plain,
( r2_hidden(iPr_def_30,u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_32,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_115690]) ).
tcf(c_155184,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_115690]) ).
tcf(c_155185,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_115690]) ).
tcf(c_155186,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_115690]) ).
tcf(c_155187,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_114677,c_115690]) ).
tcf(c_155188,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_115690]) ).
tcf(c_155189,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_115690]) ).
tcf(c_155190,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_115690]) ).
tcf(c_155191,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_115690]) ).
tcf(c_155192,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_115690]) ).
tcf(c_155193,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_115690]) ).
tcf(c_155194,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_115690]) ).
tcf(c_155195,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_115690]) ).
tcf(c_155196,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_115690]) ).
tcf(c_155197,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_115690]) ).
tcf(c_155198,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_115690]) ).
tcf(c_155200,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_115690]) ).
tcf(c_155201,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_115690]) ).
tcf(c_155202,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_115690]) ).
tcf(c_155203,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_115690]) ).
tcf(c_155204,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_115690]) ).
tcf(c_155205,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_115690]) ).
tcf(c_155206,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_115690]) ).
tcf(c_155207,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_115690]) ).
tcf(c_155208,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_115690]) ).
tcf(c_155209,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_115690]) ).
tcf(c_155210,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_115690]) ).
tcf(c_155211,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_115690]) ).
tcf(c_155212,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(iPr_def_30,sK7(sK2,X0))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_115690]) ).
tcf(c_155213,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(iPr_def_30,sK7(sK3,X0))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_115690]) ).
tcf(c_155214,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_32,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_115690]) ).
tcf(c_155215,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_32,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_115690]) ).
tcf(c_155216,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(iPr_def_30,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_32,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_115690]) ).
tcf(c_155217,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_32,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_115690]) ).
tcf(c_155220,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_115690]) ).
tcf(c_155221,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_115690]) ).
tcf(c_155222,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_115690]) ).
tcf(c_155252,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_115690]) ).
tcf(c_155253,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_115690]) ).
tcf(c_155254,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_115690]) ).
tcf(c_155257,plain,
! [X0: $i,X1: $i] :
( r2_hidden(iPr_def_30,X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_32,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_115690]) ).
tcf(c_155260,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,iPr_def_28)
| r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_32,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_115690]) ).
tcf(c_155262,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_115690]) ).
tcf(c_155265,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_115690]) ).
tcf(c_155267,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_115690]) ).
tcf(c_155271,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_115690]) ).
tcf(c_155273,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_115690]) ).
tcf(c_155275,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_115690]) ).
tcf(c_155277,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_115690]) ).
tcf(c_155279,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_115690]) ).
tcf(c_155281,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_115690]) ).
tcf(c_155285,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_115690]) ).
tcf(c_155287,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_115690]) ).
tcf(c_155289,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_115690]) ).
tcf(c_155294,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_115690]) ).
tcf(c_155295,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_115690]) ).
tcf(c_155296,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_115690]) ).
tcf(c_155297,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_115690]) ).
tcf(c_155298,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_115690]) ).
tcf(c_155299,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_115690]) ).
tcf(c_155300,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_115690]) ).
tcf(c_155303,plain,
( r2_hidden(iPr_def_30,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_115690]) ).
tcf(c_155304,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_115690]) ).
tcf(c_155790,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_115690]) ).
tcf(c_155793,plain,
! [X0: $i] :
( ( k1_struct_0(sK20,X0) = u1_struct_0(sK20) )
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21)
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_2(k1_struct_0(sK20,X0),sK2)
| ~ m1_subset_1(k1_struct_0(sK20,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115755,c_117091]) ).
tcf(c_155816,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_32,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151704]) ).
tcf(c_155828,plain,
( v1_tsp_2(iPr_def_19,sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151709]) ).
tcf(c_155856,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151710]) ).
tcf(c_155868,plain,
( v1_tsp_2(iPr_def_29,sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151711]) ).
tcf(c_155883,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_155212,c_1179]) ).
tcf(c_155884,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(iPr_def_30,X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_155212,c_1178]) ).
tcf(c_155885,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(iPr_def_30,X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_155212,c_152]) ).
tcf(c_155886,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),iPr_def_30) ),
inference(superposition,[status(thm)],[c_155212,c_61]) ).
tcf(c_155887,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_155212,c_305]) ).
tcf(c_155888,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(iPr_def_30,sK7(sK2,X0))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_155212,c_292]) ).
tcf(c_155889,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_155212,c_8259]) ).
tcf(c_155890,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_155212,c_8246]) ).
tcf(c_155924,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k2_tex_4(sK2,iPr_def_30)) = iPr_def_31 )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_155890,c_122521,c_122524]) ).
tcf(c_155932,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_155889,c_8237,c_116046]) ).
tcf(c_155983,plain,
( ( k1_struct_0(sK20,sK12(u1_struct_0(sK20))) = u1_struct_0(sK20) )
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK2)
| ~ m1_subset_1(sK12(u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ m1_subset_1(k1_struct_0(sK20,sK12(u1_struct_0(sK20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115737,c_155793]) ).
tcf(c_155984,plain,
( ( k1_tarski(sK12(u1_struct_0(sK20))) = u1_struct_0(sK20) )
| ~ v1_tsp_1(u1_struct_0(sK20),sK2)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_21)
| ~ v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK2)
| ~ m1_subset_1(sK12(u1_struct_0(sK20)),u1_struct_0(sK20))
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_155983,c_115737]) ).
tcf(c_156005,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_25,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151780]) ).
tcf(c_156008,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(iPr_def_25,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151780]) ).
tcf(c_156009,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_25,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151780]) ).
tcf(c_156010,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_25,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151780]) ).
tcf(c_156058,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_24,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151781]) ).
tcf(c_156061,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_24,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151781]) ).
tcf(c_156062,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151781]) ).
tcf(c_156063,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_24,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151781]) ).
tcf(c_156132,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(global_subsumption_just,[status(thm)],[c_154613,c_45360,c_53527]) ).
tcf(c_156135,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_156132,c_1178]) ).
tcf(c_156136,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_156132,c_152]) ).
tcf(c_156139,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(superposition,[status(thm)],[c_156132,c_292]) ).
tcf(c_156140,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_156132,c_8259]) ).
tcf(c_156141,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_156132,c_8246]) ).
tcf(c_156167,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_funct_1(sK4,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_156139,c_116416]) ).
tcf(c_156168,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_156139,c_116010]) ).
tcf(c_156169,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_20),
inference(superposition,[status(thm)],[c_156139,c_114679]) ).
tcf(c_156170,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_156139,c_115716]) ).
tcf(c_156171,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(superposition,[status(thm)],[c_156139,c_116313]) ).
tcf(c_156172,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))),k4_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))))) = k1_struct_0(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_156139,c_114117]) ).
tcf(c_156246,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_156136,c_1178]) ).
tcf(c_156247,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_156136,c_152]) ).
tcf(c_156248,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_61]) ).
tcf(c_156251,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_156136,c_8259]) ).
tcf(c_156252,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_156136,c_8246]) ).
tcf(c_156253,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_156136,c_8258]) ).
tcf(c_156254,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_156136,c_8245]) ).
tcf(c_156255,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_156136,c_114471]) ).
tcf(c_156256,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_156136,c_114472]) ).
tcf(c_156257,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,sK6(k1_tarski(k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_156136,c_114497]) ).
tcf(c_156258,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_115529]) ).
tcf(c_156260,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_127905]) ).
tcf(c_156261,plain,
( v1_xboole_0(k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_21,sK12(k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_156136,c_119169]) ).
tcf(c_156263,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_125947]) ).
tcf(c_156268,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_126913]) ).
tcf(c_156269,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_127040]) ).
tcf(c_156270,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_127267]) ).
tcf(c_156271,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_127375]) ).
tcf(c_156273,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_128180]) ).
tcf(c_156274,plain,
( ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_131210]) ).
tcf(c_156275,plain,
( ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_131277]) ).
tcf(c_156278,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_131706]) ).
tcf(c_156279,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_131771]) ).
tcf(c_156280,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_134036]) ).
tcf(c_156283,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_137793]) ).
tcf(c_156315,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_156261,c_191]) ).
tcf(c_156327,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156256,c_156139]) ).
tcf(c_156330,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k1_tarski(k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156255,c_151647]) ).
tcf(c_156497,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| r2_hidden(sK16(X0),sK7(sK2,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_121904]) ).
tcf(c_156498,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK3)
| r2_hidden(sK16(X0),sK7(sK3,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_121904]) ).
tcf(c_156526,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(sK6(X0,k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_114498,c_125053]) ).
tcf(c_156527,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_124673,c_125053]) ).
tcf(c_156528,plain,
r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_20)),
inference(superposition,[status(thm)],[c_124679,c_125053]) ).
tcf(c_156529,plain,
r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_18)),
inference(superposition,[status(thm)],[c_124687,c_125053]) ).
tcf(c_156530,plain,
r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_124691,c_125053]) ).
tcf(c_156531,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(iPr_def_18))
| ~ r1_tarski(sK6(X0,iPr_def_19),iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_125053]) ).
tcf(c_156532,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(iPr_def_20))
| ~ r1_tarski(sK6(X0,iPr_def_21),iPr_def_20) ),
inference(superposition,[status(thm)],[c_8227,c_125053]) ).
tcf(c_156533,plain,
! [X0: $i] :
( r1_tarski(X0,k1_zfmisc_1(iPr_def_28))
| ~ r1_tarski(sK6(X0,iPr_def_29),iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_125053]) ).
tcf(c_156534,plain,
r1_tarski(iPr_def_29,iPr_def_29),
inference(light_normalisation,[status(thm)],[c_156530,c_8235]) ).
tcf(c_156535,plain,
r1_tarski(iPr_def_19,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_156529,c_8225]) ).
tcf(c_156536,plain,
r1_tarski(iPr_def_21,iPr_def_21),
inference(light_normalisation,[status(thm)],[c_156528,c_8227]) ).
tcf(c_156537,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_29)
| ~ r1_tarski(sK6(X0,iPr_def_29),iPr_def_28) ),
inference(light_normalisation,[status(thm)],[c_156533,c_8235]) ).
tcf(c_156540,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_21)
| ~ r1_tarski(sK6(X0,iPr_def_21),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_156532,c_8227]) ).
tcf(c_156543,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_19)
| ~ r1_tarski(sK6(X0,iPr_def_19),iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_156531,c_8225]) ).
tcf(c_156571,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_156169,c_117091]) ).
tcf(c_156575,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156571,c_120337,c_156139]) ).
tcf(c_156629,plain,
( v1_tsp_2(iPr_def_18,sK3)
| m1_subset_1(iPr_def_30,sK7(sK3,iPr_def_18))
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151712]) ).
tcf(c_156631,plain,
( v1_tsp_2(iPr_def_18,sK3)
| m1_subset_1(iPr_def_30,sK7(sK3,iPr_def_18))
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156629,c_119983]) ).
tcf(c_156642,plain,
( v1_tsp_2(iPr_def_19,sK3)
| m1_subset_1(iPr_def_31,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151736]) ).
tcf(c_156654,plain,
( v1_tsp_2(iPr_def_32,sK3)
| m1_subset_1(iPr_def_27,sK7(sK3,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151762]) ).
tcf(c_156684,plain,
( v1_xboole_0(iPr_def_18)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| r2_hidden(sK16(iPr_def_18),sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_156497]) ).
tcf(c_156685,plain,
( v1_xboole_0(iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| r2_hidden(sK16(iPr_def_20),sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_156497]) ).
tcf(c_156686,plain,
( v1_xboole_0(iPr_def_28)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| r2_hidden(sK16(iPr_def_28),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_156497]) ).
tcf(c_156688,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| m1_subset_1(sK16(X0),X1)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_156497,c_1178]) ).
tcf(c_156689,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| r2_hidden(sK16(X0),X1)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_156497,c_152]) ).
tcf(c_156690,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k1_zfmisc_1(X0)),sK16(X0)) ),
inference(superposition,[status(thm)],[c_156497,c_61]) ).
tcf(c_156692,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| m1_subset_1(sK16(X0),sK7(sK2,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_156497,c_292]) ).
tcf(c_156693,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK3,sK16(X0))) = k1_struct_0(sK3,sK16(X0)) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_156497,c_8259]) ).
tcf(c_156694,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,sK16(X0))) = k1_struct_0(sK2,sK16(X0)) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_156497,c_8246]) ).
tcf(c_156695,plain,
( v1_xboole_0(iPr_def_28)
| v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK16(iPr_def_28),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_156686,c_8235]) ).
tcf(c_156696,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK16(iPr_def_28),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156695,c_114788]) ).
tcf(c_156701,plain,
( v1_xboole_0(iPr_def_20)
| v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK16(iPr_def_20),sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_156685,c_8227]) ).
tcf(c_156702,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK16(iPr_def_20),sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156701,c_8248]) ).
tcf(c_156707,plain,
( v1_xboole_0(iPr_def_18)
| v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK16(iPr_def_18),sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_156684,c_8225]) ).
tcf(c_156708,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK16(iPr_def_18),sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156707,c_8242]) ).
tcf(c_156780,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK16(iPr_def_20),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_156702,c_1178]) ).
tcf(c_156781,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK16(iPr_def_20),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_156702,c_152]) ).
tcf(c_156782,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_156702,c_61]) ).
tcf(c_156784,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK16(iPr_def_20),sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_156702,c_292]) ).
tcf(c_156785,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,iPr_def_21),k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_156702,c_8259]) ).
tcf(c_156786,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_156702,c_8246]) ).
tcf(c_156907,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_23,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151783]) ).
tcf(c_156910,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_23,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151783]) ).
tcf(c_156911,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151783]) ).
tcf(c_156912,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_23,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151783]) ).
tcf(c_156953,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_22,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151785]) ).
tcf(c_156956,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_22,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151785]) ).
tcf(c_156957,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151785]) ).
tcf(c_156958,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_22,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151785]) ).
tcf(c_156996,plain,
r1_tarski(k1_zfmisc_1(iPr_def_28),iPr_def_29),
inference(superposition,[status(thm)],[c_124673,c_156537]) ).
tcf(c_157004,plain,
r1_tarski(k1_zfmisc_1(iPr_def_20),iPr_def_21),
inference(superposition,[status(thm)],[c_124673,c_156540]) ).
tcf(c_157012,plain,
r1_tarski(k1_zfmisc_1(iPr_def_18),iPr_def_19),
inference(superposition,[status(thm)],[c_124673,c_156543]) ).
tcf(c_157021,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_30),X0)) = k2_tex_4(sK2,iPr_def_30) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_127764]) ).
tcf(c_157022,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),sK7(sK2,k2_tex_4(sK2,iPr_def_30)))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127764]) ).
tcf(c_157023,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK3)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),sK7(sK3,k2_tex_4(sK2,iPr_def_30)))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127764]) ).
tcf(c_157025,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_140193,c_127764]) ).
tcf(c_157026,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_127734,c_127764]) ).
tcf(c_157029,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_30),X0)) = k2_tex_4(sK2,iPr_def_30) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157021,c_122454]) ).
tcf(c_157036,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| r2_hidden(k1_funct_1(sK4,iPr_def_30),sK7(sK2,k2_tex_4(sK2,iPr_def_30)))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157022,c_127573]) ).
tcf(c_157065,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_157026,c_1178]) ).
tcf(c_157067,plain,
~ r2_hidden(iPr_def_20,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_157026,c_61]) ).
tcf(c_157069,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_157026,c_292]) ).
tcf(c_157070,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_157026,c_8259]) ).
tcf(c_157071,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_struct_0(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_157026,c_8246]) ).
tcf(c_157074,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_157071,c_145173,c_145177]) ).
tcf(c_157075,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157074,c_120337]) ).
tcf(c_157078,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_157070,c_144381,c_144382]) ).
tcf(c_157094,plain,
( v1_tsp_2(iPr_def_19,sK3)
| m1_subset_1(iPr_def_18,sK7(sK3,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151763]) ).
tcf(c_157109,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_17,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151786]) ).
tcf(c_157112,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(iPr_def_17,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151786]) ).
tcf(c_157113,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_17,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151786]) ).
tcf(c_157114,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_17,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151786]) ).
tcf(c_157166,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151787]) ).
tcf(c_157169,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(iPr_def_31,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151787]) ).
tcf(c_157170,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_31,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151787]) ).
tcf(c_157171,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_31,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151787]) ).
tcf(c_157251,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_18,X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151789]) ).
tcf(c_157254,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(iPr_def_18,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151789]) ).
tcf(c_157255,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_18,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151789]) ).
tcf(c_157256,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(iPr_def_18,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151789]) ).
tcf(c_157318,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_20,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151790]) ).
tcf(c_157321,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_20,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151790]) ).
tcf(c_157322,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_20,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151790]) ).
tcf(c_157323,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151790]) ).
tcf(c_157419,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(superposition,[status(thm)],[c_145177,c_153512]) ).
tcf(c_157420,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(superposition,[status(thm)],[c_145177,c_153449]) ).
tcf(c_157421,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145177,c_151719]) ).
tcf(c_157422,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145177,c_152829]) ).
tcf(c_157423,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145177,c_119176]) ).
tcf(c_157424,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145177,c_144968]) ).
tcf(c_157425,plain,
( r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145177,c_121717]) ).
tcf(c_157426,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_122086]) ).
tcf(c_157427,plain,
( r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145177,c_114881]) ).
tcf(c_157428,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_145177,c_118438]) ).
tcf(c_157429,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(superposition,[status(thm)],[c_145177,c_118401]) ).
tcf(c_157430,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),sK7(sK2,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145177,c_117916]) ).
tcf(c_157431,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(superposition,[status(thm)],[c_145177,c_117899]) ).
tcf(c_157432,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145177,c_117874]) ).
tcf(c_157433,plain,
( v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(superposition,[status(thm)],[c_145177,c_116645]) ).
tcf(c_157434,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145177,c_115533]) ).
tcf(c_157435,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145177,c_115532]) ).
tcf(c_157436,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_145177,c_115880]) ).
tcf(c_157437,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_145177,c_115864]) ).
tcf(c_157438,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145177,c_115537]) ).
tcf(c_157439,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145177,c_115536]) ).
tcf(c_157440,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_145177,c_115645]) ).
tcf(c_157441,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145177,c_115528]) ).
tcf(c_157442,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145177,c_115530]) ).
tcf(c_157443,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_114473]) ).
tcf(c_157444,plain,
( m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145177,c_114453]) ).
tcf(c_157445,plain,
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145177,c_114316]) ).
tcf(c_157446,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_114352]) ).
tcf(c_157447,plain,
( ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_145177,c_113927]) ).
tcf(c_157448,plain,
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(superposition,[status(thm)],[c_145177,c_113903]) ).
tcf(c_157449,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145177,c_8275]) ).
tcf(c_157450,plain,
~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_157446,c_157069]) ).
tcf(c_157451,plain,
m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_157444,c_157069]) ).
tcf(c_157452,plain,
r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_157427,c_157069]) ).
tcf(c_157453,plain,
r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_157425,c_157069]) ).
tcf(c_157454,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_157426,c_157069]) ).
tcf(c_157455,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157442,c_157069]) ).
tcf(c_157458,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_157449,c_145180]) ).
tcf(c_157459,plain,
r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_157458,c_157069]) ).
tcf(c_157460,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_157445,c_145180]) ).
tcf(c_157461,plain,
m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_157460,c_157069]) ).
tcf(c_157462,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_157443,c_145180]) ).
tcf(c_157463,plain,
~ r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_157462,c_157069]) ).
tcf(c_157464,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(light_normalisation,[status(thm)],[c_157433,c_145177]) ).
tcf(c_157465,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157464,c_157069]) ).
tcf(c_157468,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157422,c_157069]) ).
tcf(c_157472,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_157424,c_145180]) ).
tcf(c_157473,plain,
( ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157472,c_157069]) ).
tcf(c_157476,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_157441,c_145180]) ).
tcf(c_157477,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157476,c_157069]) ).
tcf(c_157481,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_157421,c_145180]) ).
tcf(c_157482,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157481,c_157069]) ).
tcf(c_157486,plain,
( v1_xboole_0(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(light_normalisation,[status(thm)],[c_157423,c_145180]) ).
tcf(c_157487,plain,
( v1_xboole_0(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157486,c_157069]) ).
tcf(c_157490,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(light_normalisation,[status(thm)],[c_157432,c_145177]) ).
tcf(c_157491,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157490,c_157069]) ).
tcf(c_157495,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(light_normalisation,[status(thm)],[c_157440,c_145180]) ).
tcf(c_157496,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157495,c_157069]) ).
tcf(c_157500,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_157437,c_145180]) ).
tcf(c_157501,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157500,c_157069]) ).
tcf(c_157505,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_157436,c_145180]) ).
tcf(c_157506,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157505,c_157069]) ).
tcf(c_157510,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(light_normalisation,[status(thm)],[c_157420,c_145177]) ).
tcf(c_157511,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157510,c_157069]) ).
tcf(c_157516,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(light_normalisation,[status(thm)],[c_157431,c_145177,c_145180]) ).
tcf(c_157517,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157516,c_157069]) ).
tcf(c_157522,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(light_normalisation,[status(thm)],[c_157419,c_145177,c_145180]) ).
tcf(c_157523,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157522,c_157069]) ).
tcf(c_157528,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(light_normalisation,[status(thm)],[c_157448,c_145177,c_145180]) ).
tcf(c_157529,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157528,c_157069]) ).
tcf(c_157532,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(light_normalisation,[status(thm)],[c_157439,c_145180]) ).
tcf(c_157533,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157532,c_157069]) ).
tcf(c_157537,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(light_normalisation,[status(thm)],[c_157438,c_145180]) ).
tcf(c_157538,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157537,c_157069]) ).
tcf(c_157542,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_157435,c_145180]) ).
tcf(c_157543,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157542,c_157069]) ).
tcf(c_157548,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_157434,c_145180]) ).
tcf(c_157549,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157548,c_157069]) ).
tcf(c_157554,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_157447,c_145177,c_145180]) ).
tcf(c_157555,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157554,c_157069]) ).
tcf(c_157559,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(light_normalisation,[status(thm)],[c_157429,c_145177,c_145180]) ).
tcf(c_157560,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157559,c_157069]) ).
tcf(c_157564,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK7(sK2,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_157430,c_145177,c_145180]) ).
tcf(c_157565,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK7(sK2,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157564,c_157069]) ).
tcf(c_157572,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_157428,c_145177,c_145180]) ).
tcf(c_157573,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157572,c_157069]) ).
tcf(c_157695,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_157451,c_116416]) ).
tcf(c_157696,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_157451,c_116010]) ).
tcf(c_157698,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_157451,c_115716]) ).
tcf(c_157700,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ) ),
inference(superposition,[status(thm)],[c_157451,c_114117]) ).
tcf(c_157719,plain,
! [X0: $i] :
( v1_tsp_1(iPr_def_20,sK3)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_114314,c_135751]) ).
tcf(c_157720,plain,
! [X0: $i] :
( v1_tsp_1(iPr_def_20,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_114315,c_135751]) ).
tcf(c_157724,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_20,X1)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_142565,c_135751]) ).
tcf(c_157739,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_20)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_128182,c_135751]) ).
tcf(c_157750,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,iPr_def_20)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_144960,c_135751]) ).
tcf(c_157752,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_20)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_149731,c_135751]) ).
tcf(c_157753,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_20)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_149893,c_135751]) ).
tcf(c_157783,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ r1_tarski(X1,sK12(X0))
| ~ r1_tarski(X0,sK5(sK3,X1)) ),
inference(superposition,[status(thm)],[c_115274,c_142563]) ).
tcf(c_157784,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ r1_tarski(X1,sK12(X0))
| ~ r1_tarski(X0,sK5(sK2,X1)) ),
inference(superposition,[status(thm)],[c_115275,c_142563]) ).
tcf(c_157785,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1)) ),
inference(superposition,[status(thm)],[c_132457,c_142563]) ).
tcf(c_157803,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,sK12(X0))
| ~ r1_tarski(X0,sK12(X1)) ),
inference(superposition,[status(thm)],[c_119168,c_142563]) ).
tcf(c_157813,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,sK12(X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_142563]) ).
tcf(c_157814,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_142563]) ).
tcf(c_157815,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142118,c_142563]) ).
tcf(c_157816,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_142563]) ).
tcf(c_157817,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_142563]) ).
tcf(c_157818,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ r2_hidden(X0,k1_xboole_0)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),X0) ),
inference(superposition,[status(thm)],[c_143635,c_142563]) ).
tcf(c_157819,plain,
! [X0: $i] :
( ~ r2_hidden(X0,k1_xboole_0)
| ~ r1_tarski(k1_zfmisc_1(k1_xboole_0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_157818,c_186]) ).
tcf(c_157936,plain,
sK22(sK14(sK14(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146225]) ).
tcf(c_157937,plain,
sK22(sK14(sK14(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146225]) ).
tcf(c_157938,plain,
sK22(sK14(sK14(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146225]) ).
tcf(c_157939,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146225]) ).
tcf(c_157940,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146225]) ).
tcf(c_157962,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_20,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151765]) ).
tcf(c_158041,plain,
( v1_tsp_2(iPr_def_29,sK3)
| m1_subset_1(iPr_def_28,sK7(sK3,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151767]) ).
tcf(c_158053,plain,
( v1_tsp_2(iPr_def_20,sK3)
| m1_subset_1(iPr_def_30,sK7(sK3,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151774]) ).
tcf(c_158065,plain,
( v1_tsp_2(iPr_def_21,sK3)
| m1_subset_1(iPr_def_31,sK7(sK3,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151775]) ).
tcf(c_158070,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_157936,c_130886]) ).
tcf(c_158071,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK2))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_157936,c_114892]) ).
tcf(c_158072,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK2)))) = sK22(sK14(sK14(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_157936,c_124845]) ).
tcf(c_158073,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_157936,c_114795]) ).
tcf(c_158074,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK2))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_157936,c_254]) ).
tcf(c_158076,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158072,c_157936]) ).
tcf(c_158077,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158076,c_114344]) ).
tcf(c_158083,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_157938,c_130886]) ).
tcf(c_158084,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK3))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_157938,c_114892]) ).
tcf(c_158085,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK3)))) = sK22(sK14(sK14(sK14(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_157938,c_124845]) ).
tcf(c_158086,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_157938,c_114795]) ).
tcf(c_158087,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK3))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_157938,c_254]) ).
tcf(c_158089,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158085,c_157938]) ).
tcf(c_158090,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158089,c_114344]) ).
tcf(c_158097,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_157459,c_1178]) ).
tcf(c_158098,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_157459,c_152]) ).
tcf(c_158104,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_157459,c_8245]) ).
tcf(c_158109,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158104,c_157069]) ).
tcf(c_158130,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(iPr_def_28,X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_151791]) ).
tcf(c_158133,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| m1_subset_1(iPr_def_28,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151791]) ).
tcf(c_158134,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(iPr_def_28,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151791]) ).
tcf(c_158135,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(iPr_def_28,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151791]) ).
tcf(c_158176,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_31,X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151793]) ).
tcf(c_158179,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(iPr_def_31,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151793]) ).
tcf(c_158180,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_31,X0)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151793]) ).
tcf(c_158181,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(iPr_def_31,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151793]) ).
tcf(c_158221,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_157452,c_1178]) ).
tcf(c_158222,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_157452,c_152]) ).
tcf(c_158226,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_157452,c_8259]) ).
tcf(c_158227,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_157452,c_8246]) ).
tcf(c_158248,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_157937,c_130886]) ).
tcf(c_158249,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK8))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_157937,c_114892]) ).
tcf(c_158250,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK8)))) = sK22(sK14(sK14(sK14(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_157937,c_124845]) ).
tcf(c_158251,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_157937,c_114795]) ).
tcf(c_158252,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK8))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_157937,c_254]) ).
tcf(c_158254,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158250,c_157937]) ).
tcf(c_158255,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158254,c_114344]) ).
tcf(c_158265,plain,
sK22(sK14(sK14(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146226]) ).
tcf(c_158266,plain,
sK22(sK14(sK14(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146226]) ).
tcf(c_158267,plain,
sK22(sK14(sK14(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146226]) ).
tcf(c_158268,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146226]) ).
tcf(c_158269,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146226]) ).
tcf(c_158290,plain,
( ~ l1_pre_topc(sK14(sK14(sK10(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158265,c_130886]) ).
tcf(c_158291,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK2))))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158265,c_114892]) ).
tcf(c_158292,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK2)))) = sK22(sK14(sK14(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK10(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158265,c_124845]) ).
tcf(c_158293,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK10(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158265,c_114795]) ).
tcf(c_158294,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK2))))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158265,c_254]) ).
tcf(c_158296,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158292,c_158265]) ).
tcf(c_158297,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158296,c_114344]) ).
tcf(c_158303,plain,
( ~ l1_pre_topc(sK14(sK14(sK10(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158266,c_130886]) ).
tcf(c_158304,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK8))))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158266,c_114892]) ).
tcf(c_158305,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK8)))) = sK22(sK14(sK14(sK10(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK10(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158266,c_124845]) ).
tcf(c_158306,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK10(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158266,c_114795]) ).
tcf(c_158307,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK8))))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158266,c_254]) ).
tcf(c_158309,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158305,c_158266]) ).
tcf(c_158310,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158309,c_114344]) ).
tcf(c_158322,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_116849,c_152884]) ).
tcf(c_158323,plain,
( v1_tsp_2(iPr_def_20,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_116843,c_152884]) ).
tcf(c_158329,plain,
~ r1_tarski(iPr_def_32,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_155187,c_219,c_11034,c_58264]) ).
tcf(c_158340,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_157453,c_117091]) ).
tcf(c_158344,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158340,c_120337,c_157451]) ).
tcf(c_158371,plain,
( ~ l1_pre_topc(sK14(sK14(sK10(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158267,c_130886]) ).
tcf(c_158372,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK3))))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158267,c_114892]) ).
tcf(c_158373,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK3)))) = sK22(sK14(sK14(sK10(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK10(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158267,c_124845]) ).
tcf(c_158374,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK10(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158267,c_114795]) ).
tcf(c_158375,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK10(sK3))))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158267,c_254]) ).
tcf(c_158377,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158373,c_158267]) ).
tcf(c_158378,plain,
( ( u1_struct_0(sK14(sK14(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK10(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158377,c_114344]) ).
tcf(c_158396,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_116849,c_152899]) ).
tcf(c_158397,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_116843,c_152899]) ).
tcf(c_158398,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X0)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_152899]) ).
tcf(c_158448,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_116849,c_152901]) ).
tcf(c_158449,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_116843,c_152901]) ).
tcf(c_158450,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X0)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_152901]) ).
tcf(c_158485,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_116849,c_152903]) ).
tcf(c_158486,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_116843,c_152903]) ).
tcf(c_158487,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X0))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X0)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_152903]) ).
tcf(c_158516,plain,
sK22(sK14(sK10(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146321]) ).
tcf(c_158517,plain,
sK22(sK14(sK10(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146321]) ).
tcf(c_158518,plain,
sK22(sK14(sK10(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146321]) ).
tcf(c_158519,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146321]) ).
tcf(c_158520,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146321]) ).
tcf(c_158548,plain,
( ~ l1_pre_topc(sK14(sK10(sK14(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158516,c_130886]) ).
tcf(c_158549,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK2))))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158516,c_114892]) ).
tcf(c_158550,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK2)))) = sK22(sK14(sK10(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK14(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158516,c_124845]) ).
tcf(c_158551,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK14(sK2)))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158516,c_114795]) ).
tcf(c_158552,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK2))))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158516,c_254]) ).
tcf(c_158554,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158550,c_158516]) ).
tcf(c_158555,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158554,c_114344]) ).
tcf(c_158584,plain,
( ~ l1_pre_topc(sK14(sK10(sK14(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158517,c_130886]) ).
tcf(c_158585,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK8))))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158517,c_114892]) ).
tcf(c_158586,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK8)))) = sK22(sK14(sK10(sK14(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK14(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158517,c_124845]) ).
tcf(c_158587,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK14(sK8)))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158517,c_114795]) ).
tcf(c_158588,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK8))))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158517,c_254]) ).
tcf(c_158590,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158586,c_158517]) ).
tcf(c_158591,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158590,c_114344]) ).
tcf(c_158601,plain,
sK22(sK14(sK10(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146322]) ).
tcf(c_158602,plain,
sK22(sK14(sK10(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146322]) ).
tcf(c_158603,plain,
sK22(sK14(sK10(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146322]) ).
tcf(c_158604,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146322]) ).
tcf(c_158605,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146322]) ).
tcf(c_158610,plain,
( ~ l1_pre_topc(sK14(sK10(sK10(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158601,c_130886]) ).
tcf(c_158611,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK2))))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158601,c_114892]) ).
tcf(c_158612,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK2)))) = sK22(sK14(sK10(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK10(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158601,c_124845]) ).
tcf(c_158613,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK10(sK2)))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158601,c_114795]) ).
tcf(c_158614,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK2))))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158601,c_254]) ).
tcf(c_158616,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158612,c_158601]) ).
tcf(c_158617,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158616,c_114344]) ).
tcf(c_158623,plain,
( ~ l1_pre_topc(sK14(sK10(sK14(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158518,c_130886]) ).
tcf(c_158624,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK3))))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158518,c_114892]) ).
tcf(c_158625,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK3)))) = sK22(sK14(sK10(sK14(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK14(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158518,c_124845]) ).
tcf(c_158626,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK14(sK3)))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158518,c_114795]) ).
tcf(c_158627,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK14(sK3))))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158518,c_254]) ).
tcf(c_158629,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158625,c_158518]) ).
tcf(c_158630,plain,
( ( u1_struct_0(sK14(sK10(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK14(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158629,c_114344]) ).
tcf(c_158636,plain,
( ~ l1_pre_topc(sK14(sK10(sK10(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158603,c_130886]) ).
tcf(c_158637,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK3))))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158603,c_114892]) ).
tcf(c_158638,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK3)))) = sK22(sK14(sK10(sK10(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK10(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158603,c_124845]) ).
tcf(c_158639,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK10(sK3)))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158603,c_114795]) ).
tcf(c_158640,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK3))))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158603,c_254]) ).
tcf(c_158642,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158638,c_158603]) ).
tcf(c_158643,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158642,c_114344]) ).
tcf(c_158669,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(iPr_def_30,sK7(sK2,X0))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_155888,c_299]) ).
tcf(c_158685,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ r2_hidden(sK7(sK2,k2_tex_4(sK2,iPr_def_30)),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_157036,c_61]) ).
tcf(c_158687,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| m1_subset_1(k1_funct_1(sK4,iPr_def_30),sK7(sK2,k2_tex_4(sK2,iPr_def_30)))
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2) ),
inference(superposition,[status(thm)],[c_157036,c_292]) ).
tcf(c_158709,plain,
( ~ l1_pre_topc(sK14(sK10(sK10(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158602,c_130886]) ).
tcf(c_158710,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK8))))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158602,c_114892]) ).
tcf(c_158711,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK8)))) = sK22(sK14(sK10(sK10(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK14(sK10(sK10(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158602,c_124845]) ).
tcf(c_158712,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK10(sK8)))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158602,c_114795]) ).
tcf(c_158713,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK10(sK10(sK8))))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158602,c_254]) ).
tcf(c_158715,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK10(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158711,c_158602]) ).
tcf(c_158716,plain,
( ( u1_struct_0(sK14(sK10(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK10(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK10(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK10(sK10(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158715,c_114344]) ).
tcf(c_158739,plain,
sK22(sK10(sK14(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146454]) ).
tcf(c_158740,plain,
sK22(sK10(sK14(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146454]) ).
tcf(c_158741,plain,
sK22(sK10(sK14(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146454]) ).
tcf(c_158742,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146454]) ).
tcf(c_158743,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146454]) ).
tcf(c_158764,plain,
( ~ l1_pre_topc(sK10(sK14(sK14(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158739,c_130886]) ).
tcf(c_158765,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK2))))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158739,c_114892]) ).
tcf(c_158766,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK2)))) = sK22(sK10(sK14(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK14(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158739,c_124845]) ).
tcf(c_158767,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK14(sK2)))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158739,c_114795]) ).
tcf(c_158768,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK2))))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158739,c_254]) ).
tcf(c_158770,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158766,c_158739]) ).
tcf(c_158771,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158770,c_114344]) ).
tcf(c_158777,plain,
( ~ l1_pre_topc(sK10(sK14(sK14(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158740,c_130886]) ).
tcf(c_158778,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK8))))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158740,c_114892]) ).
tcf(c_158779,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK8)))) = sK22(sK10(sK14(sK14(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK14(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158740,c_124845]) ).
tcf(c_158780,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK14(sK8)))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158740,c_114795]) ).
tcf(c_158781,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK8))))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158740,c_254]) ).
tcf(c_158783,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158779,c_158740]) ).
tcf(c_158784,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158783,c_114344]) ).
tcf(c_158806,plain,
( ~ l1_pre_topc(sK10(sK14(sK14(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158741,c_130886]) ).
tcf(c_158807,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK3))))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158741,c_114892]) ).
tcf(c_158808,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK3)))) = sK22(sK10(sK14(sK14(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK14(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158741,c_124845]) ).
tcf(c_158809,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK14(sK3)))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158741,c_114795]) ).
tcf(c_158810,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK14(sK3))))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158741,c_254]) ).
tcf(c_158812,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158808,c_158741]) ).
tcf(c_158813,plain,
( ( u1_struct_0(sK10(sK14(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK14(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158812,c_114344]) ).
tcf(c_158869,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_8225,c_127120]) ).
tcf(c_158870,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_8227,c_127120]) ).
tcf(c_158871,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_8235,c_127120]) ).
tcf(c_158880,plain,
sK22(sK10(sK14(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146455]) ).
tcf(c_158881,plain,
sK22(sK10(sK14(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146455]) ).
tcf(c_158882,plain,
sK22(sK10(sK14(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146455]) ).
tcf(c_158883,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146455]) ).
tcf(c_158884,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146455]) ).
tcf(c_158889,plain,
( ~ l1_pre_topc(sK10(sK14(sK10(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158880,c_130886]) ).
tcf(c_158890,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK2))))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158880,c_114892]) ).
tcf(c_158891,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK2)))) = sK22(sK10(sK14(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK10(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158880,c_124845]) ).
tcf(c_158892,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK10(sK2)))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158880,c_114795]) ).
tcf(c_158893,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK2))))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158880,c_254]) ).
tcf(c_158895,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158891,c_158880]) ).
tcf(c_158896,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158895,c_114344]) ).
tcf(c_158902,plain,
( ~ l1_pre_topc(sK10(sK14(sK10(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158881,c_130886]) ).
tcf(c_158903,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK8))))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158881,c_114892]) ).
tcf(c_158904,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK8)))) = sK22(sK10(sK14(sK10(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK10(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158881,c_124845]) ).
tcf(c_158905,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK10(sK8)))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158881,c_114795]) ).
tcf(c_158906,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK8))))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158881,c_254]) ).
tcf(c_158908,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_158904,c_158881]) ).
tcf(c_158909,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_158908,c_114344]) ).
tcf(c_158974,plain,
sK22(sK10(sK10(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146547]) ).
tcf(c_158975,plain,
sK22(sK10(sK10(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146547]) ).
tcf(c_158976,plain,
sK22(sK10(sK10(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146547]) ).
tcf(c_158977,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146547]) ).
tcf(c_158978,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146547]) ).
tcf(c_158999,plain,
( ~ l1_pre_topc(sK10(sK10(sK14(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158974,c_130886]) ).
tcf(c_159000,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK2))))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158974,c_114892]) ).
tcf(c_159001,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK2)))) = sK22(sK10(sK10(sK14(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK14(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158974,c_124845]) ).
tcf(c_159002,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK14(sK2)))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158974,c_114795]) ).
tcf(c_159003,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK2))))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158974,c_254]) ).
tcf(c_159005,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159001,c_158974]) ).
tcf(c_159006,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK14(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159005,c_114344]) ).
tcf(c_159012,plain,
( ~ l1_pre_topc(sK10(sK14(sK10(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158882,c_130886]) ).
tcf(c_159013,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK3))))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158882,c_114892]) ).
tcf(c_159014,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK3)))) = sK22(sK10(sK14(sK10(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK14(sK10(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158882,c_124845]) ).
tcf(c_159015,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK10(sK3)))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158882,c_114795]) ).
tcf(c_159016,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK14(sK10(sK3))))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158882,c_254]) ).
tcf(c_159018,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK14(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159014,c_158882]) ).
tcf(c_159019,plain,
( ( u1_struct_0(sK10(sK14(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK14(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK14(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK14(sK10(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159018,c_114344]) ).
tcf(c_159025,plain,
( ~ l1_pre_topc(sK10(sK10(sK14(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158976,c_130886]) ).
tcf(c_159026,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK3))))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158976,c_114892]) ).
tcf(c_159027,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK3)))) = sK22(sK10(sK10(sK14(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK14(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158976,c_124845]) ).
tcf(c_159028,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK14(sK3)))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158976,c_114795]) ).
tcf(c_159029,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK3))))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158976,c_254]) ).
tcf(c_159031,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159027,c_158976]) ).
tcf(c_159032,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK14(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159031,c_114344]) ).
tcf(c_159062,plain,
! [X0: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| v1_xboole_0(sK16(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK16(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) ),
inference(superposition,[status(thm)],[c_114668,c_142573]) ).
tcf(c_159063,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tex_4(sK3,X1))
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK3,X1))) ),
inference(superposition,[status(thm)],[c_114621,c_142573]) ).
tcf(c_159064,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tex_4(sK2,X1))
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK2,X1))) ),
inference(superposition,[status(thm)],[c_114629,c_142573]) ).
tcf(c_159065,plain,
! [X0: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK12(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))))) ),
inference(superposition,[status(thm)],[c_114667,c_142573]) ).
tcf(c_159067,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_147592,c_142573]) ).
tcf(c_159068,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_138881,c_142573]) ).
tcf(c_159069,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_132626,c_142573]) ).
tcf(c_159070,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_120927,c_142573]) ).
tcf(c_159071,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_115010,c_142573]) ).
tcf(c_159072,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_147642,c_142573]) ).
tcf(c_159073,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_139038,c_142573]) ).
tcf(c_159074,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_132652,c_142573]) ).
tcf(c_159075,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_120961,c_142573]) ).
tcf(c_159076,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_115177,c_142573]) ).
tcf(c_159077,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X1),sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1))) ),
inference(superposition,[status(thm)],[c_115617,c_142573]) ).
tcf(c_159078,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_147481,c_142573]) ).
tcf(c_159079,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_132263,c_142573]) ).
tcf(c_159080,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_120813,c_142573]) ).
tcf(c_159081,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_115941,c_142573]) ).
tcf(c_159082,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_147507,c_142573]) ).
tcf(c_159083,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_132547,c_142573]) ).
tcf(c_159084,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_120853,c_142573]) ).
tcf(c_159085,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_116130,c_142573]) ).
tcf(c_159086,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_147546,c_142573]) ).
tcf(c_159087,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_132573,c_142573]) ).
tcf(c_159088,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_120879,c_142573]) ).
tcf(c_159089,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_116149,c_142573]) ).
tcf(c_159090,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_22)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_22,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_22)) ),
inference(superposition,[status(thm)],[c_114612,c_142573]) ).
tcf(c_159091,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_23)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_23,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_23)) ),
inference(superposition,[status(thm)],[c_114607,c_142573]) ).
tcf(c_159092,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X1,sK2)
| v1_xboole_0(sK7(sK2,X1))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X1),k4_tex_4(sK2,sK6(sK7(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK7(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK7(sK2,X1))) ),
inference(superposition,[status(thm)],[c_118158,c_142573]) ).
tcf(c_159093,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_24)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_24,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_24)) ),
inference(superposition,[status(thm)],[c_114602,c_142573]) ).
tcf(c_159094,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1)
| v1_xboole_0(sK6(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK6(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1))) ),
inference(superposition,[status(thm)],[c_124673,c_142573]) ).
tcf(c_159095,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,iPr_def_30))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_140193,c_142573]) ).
tcf(c_159096,plain,
! [X0: $i] :
( v1_xboole_0(sK13(iPr_def_20,iPr_def_18))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK13(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_138461,c_142573]) ).
tcf(c_159097,plain,
! [X0: $i] :
( v1_xboole_0(sK11(iPr_def_20,iPr_def_18))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK11(iPr_def_20,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_138639,c_142573]) ).
tcf(c_159098,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK3)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_139563,c_142573]) ).
tcf(c_159099,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK3)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(u1_struct_0(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_139717,c_142573]) ).
tcf(c_159100,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,iPr_def_30))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK3,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_139941,c_142573]) ).
tcf(c_159101,plain,
! [X0: $i] :
( v1_xboole_0(k1_tarski(sK12(iPr_def_20)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k1_tarski(sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_140640,c_142573]) ).
tcf(c_159102,plain,
! [X0: $i] :
( v1_xboole_0(k1_tarski(sK12(iPr_def_18)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k1_tarski(sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_140811,c_142573]) ).
tcf(c_159103,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145140,c_142573]) ).
tcf(c_159104,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(X0,iPr_def_30)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK12(X0)) ),
inference(superposition,[status(thm)],[c_8236,c_142573]) ).
tcf(c_159105,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK12(X0)) ),
inference(superposition,[status(thm)],[c_116415,c_142573]) ).
tcf(c_159106,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK12(X0)) ),
inference(superposition,[status(thm)],[c_122520,c_142573]) ).
tcf(c_159107,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(X0,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK12(X0)) ),
inference(light_normalisation,[status(thm)],[c_159104,c_8238]) ).
tcf(c_159108,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK12(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159107,c_8266]) ).
tcf(c_159112,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(X0)) ),
inference(light_normalisation,[status(thm)],[c_159106,c_122521]) ).
tcf(c_159113,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK12(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159112,c_122454]) ).
tcf(c_159117,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(X0)) ),
inference(light_normalisation,[status(thm)],[c_159105,c_116009]) ).
tcf(c_159118,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK12(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159117,c_173]) ).
tcf(c_159129,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k1_tarski(sK12(iPr_def_18)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159102,c_191]) ).
tcf(c_159133,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k1_tarski(sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159101,c_191]) ).
tcf(c_159137,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK3,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159100,c_126267]) ).
tcf(c_159157,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK2,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159095,c_127572]) ).
tcf(c_159274,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_24,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_24)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159093,c_8254]) ).
tcf(c_159280,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_23,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_23)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159091,c_8252]) ).
tcf(c_159286,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_22,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_22)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159090,c_8250]) ).
tcf(c_159540,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_149740]) ).
tcf(c_159541,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_122521,c_149740]) ).
tcf(c_159542,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116009,c_149740]) ).
tcf(c_159543,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_145177,c_149740]) ).
tcf(c_159544,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_159540,c_8236]) ).
tcf(c_159545,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_159541,c_122520]) ).
tcf(c_159546,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_159542,c_116415]) ).
tcf(c_159547,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_159543,c_145180]) ).
tcf(c_159548,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159547,c_157069]) ).
tcf(c_159558,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_149902]) ).
tcf(c_159559,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_122521,c_149902]) ).
tcf(c_159560,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_116009,c_149902]) ).
tcf(c_159561,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_145177,c_149902]) ).
tcf(c_159562,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_159558,c_8236]) ).
tcf(c_159563,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_159559,c_122520]) ).
tcf(c_159564,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159563,c_122454]) ).
tcf(c_159567,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_159560,c_116415]) ).
tcf(c_159568,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159567,c_173]) ).
tcf(c_159571,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_159561,c_145180]) ).
tcf(c_159572,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159571,c_157069]) ).
tcf(c_159624,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145180,c_119176]) ).
tcf(c_159625,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_145180,c_137803]) ).
tcf(c_159626,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_145180,c_137620]) ).
tcf(c_159627,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145180,c_135494]) ).
tcf(c_159628,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145180,c_134047]) ).
tcf(c_159629,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_145180,c_131781]) ).
tcf(c_159630,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_145180,c_131716]) ).
tcf(c_159631,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_145180,c_131647]) ).
tcf(c_159632,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_145180,c_131390]) ).
tcf(c_159633,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_145180,c_131287]) ).
tcf(c_159634,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_145180,c_131220]) ).
tcf(c_159635,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_145180,c_128189]) ).
tcf(c_159636,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_145180,c_128073]) ).
tcf(c_159637,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_145180,c_127914]) ).
tcf(c_159638,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_145180,c_127844]) ).
tcf(c_159639,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_145180,c_127384]) ).
tcf(c_159640,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_145180,c_127276]) ).
tcf(c_159641,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_145180,c_127049]) ).
tcf(c_159642,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_145180,c_126922]) ).
tcf(c_159643,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_145180,c_126834]) ).
tcf(c_159644,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_145180,c_126771]) ).
tcf(c_159645,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_145180,c_126694]) ).
tcf(c_159647,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_145180,c_125956]) ).
tcf(c_159648,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_145180,c_125892]) ).
tcf(c_159649,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145180,c_132457]) ).
tcf(c_159650,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145180,c_123330]) ).
tcf(c_159651,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145180,c_127185]) ).
tcf(c_159652,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_28)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_29) ),
inference(superposition,[status(thm)],[c_145180,c_121839]) ).
tcf(c_159653,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145180,c_121727]) ).
tcf(c_159654,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_145180,c_121402]) ).
tcf(c_159655,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145180,c_114887]) ).
tcf(c_159656,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145180,c_120313]) ).
tcf(c_159657,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_145180,c_115617]) ).
tcf(c_159658,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK7(sK2,sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145180,c_117916]) ).
tcf(c_159659,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_145180,c_116655]) ).
tcf(c_159660,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145180,c_115537]) ).
tcf(c_159661,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK5(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_145180,c_115536]) ).
tcf(c_159662,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145180,c_115531]) ).
tcf(c_159663,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(superposition,[status(thm)],[c_145180,c_115276]) ).
tcf(c_159664,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145180,c_114473]) ).
tcf(c_159665,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145180,c_114316]) ).
tcf(c_159666,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145180,c_114292]) ).
tcf(c_159667,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_145180,c_8275]) ).
tcf(c_159668,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(X0)) ),
inference(superposition,[status(thm)],[c_145180,c_142573]) ).
tcf(c_159669,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_145180,c_115645]) ).
tcf(c_159670,plain,
! [X0: $i] :
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145180,c_115529]) ).
tcf(c_159671,plain,
m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_159666,c_157069]) ).
tcf(c_159672,plain,
r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_159655,c_157069]) ).
tcf(c_159673,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_159650,c_157069]) ).
tcf(c_159676,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159649,c_157069]) ).
tcf(c_159680,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_159663,c_145177]) ).
tcf(c_159682,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0) ),
inference(light_normalisation,[status(thm)],[c_159662,c_145177]) ).
tcf(c_159684,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_159654,c_145177]) ).
tcf(c_159685,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159684,c_157069]) ).
tcf(c_159688,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159653,c_145177]) ).
tcf(c_159689,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159688,c_157069]) ).
tcf(c_159692,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_28)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_159652,c_145177]) ).
tcf(c_159693,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_28)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_29) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159692,c_157069]) ).
tcf(c_159696,plain,
! [X0: $i] :
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_159670,c_145177]) ).
tcf(c_159697,plain,
! [X0: $i] :
( ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159696,c_157069]) ).
tcf(c_159700,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_159657,c_145177]) ).
tcf(c_159701,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159700,c_157069]) ).
tcf(c_159704,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_20)) ),
inference(light_normalisation,[status(thm)],[c_159648,c_145177]) ).
tcf(c_159705,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_20)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159704,c_157069]) ).
tcf(c_159708,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_159647,c_145177]) ).
tcf(c_159709,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159708,c_157069]) ).
tcf(c_159716,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK17(sK2)) ),
inference(light_normalisation,[status(thm)],[c_159645,c_145177]) ).
tcf(c_159717,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159716,c_157069]) ).
tcf(c_159720,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK19(sK2)) ),
inference(light_normalisation,[status(thm)],[c_159644,c_145177]) ).
tcf(c_159721,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159720,c_157069]) ).
tcf(c_159724,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK25(sK2)) ),
inference(light_normalisation,[status(thm)],[c_159643,c_145177]) ).
tcf(c_159725,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159724,c_157069]) ).
tcf(c_159728,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK17(sK3)) ),
inference(light_normalisation,[status(thm)],[c_159642,c_145177]) ).
tcf(c_159729,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK17(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159728,c_157069]) ).
tcf(c_159732,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK19(sK3)) ),
inference(light_normalisation,[status(thm)],[c_159641,c_145177]) ).
tcf(c_159733,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK19(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159732,c_157069]) ).
tcf(c_159736,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK25(sK3)) ),
inference(light_normalisation,[status(thm)],[c_159640,c_145177]) ).
tcf(c_159737,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK25(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159736,c_157069]) ).
tcf(c_159740,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_28)) ),
inference(light_normalisation,[status(thm)],[c_159639,c_145177]) ).
tcf(c_159741,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK16(iPr_def_28)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159740,c_157069]) ).
tcf(c_159744,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(iPr_def_27)) ),
inference(light_normalisation,[status(thm)],[c_159638,c_145177]) ).
tcf(c_159745,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(iPr_def_27)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159744,c_157069]) ).
tcf(c_159748,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_19)) ),
inference(light_normalisation,[status(thm)],[c_159637,c_145177]) ).
tcf(c_159749,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_19)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159748,c_157069]) ).
tcf(c_159752,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_21)) ),
inference(light_normalisation,[status(thm)],[c_159636,c_145177]) ).
tcf(c_159753,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_21)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159752,c_157069]) ).
tcf(c_159756,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_29)) ),
inference(light_normalisation,[status(thm)],[c_159635,c_145177]) ).
tcf(c_159757,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(iPr_def_29)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159756,c_157069]) ).
tcf(c_159760,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_159634,c_145177]) ).
tcf(c_159761,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK13(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159760,c_157069]) ).
tcf(c_159764,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_159633,c_145177]) ).
tcf(c_159765,plain,
( ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK11(iPr_def_20,iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159764,c_157069]) ).
tcf(c_159768,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_159632,c_145177]) ).
tcf(c_159769,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159768,c_157069]) ).
tcf(c_159772,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_159631,c_145177]) ).
tcf(c_159773,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159772,c_157069]) ).
tcf(c_159776,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_159630,c_145177]) ).
tcf(c_159777,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK10(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159776,c_157069]) ).
tcf(c_159780,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_159629,c_145177]) ).
tcf(c_159781,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),u1_struct_0(sK14(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159780,c_157069]) ).
tcf(c_159784,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_159628,c_145177]) ).
tcf(c_159785,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159784,c_157069]) ).
tcf(c_159788,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_159627,c_145177]) ).
tcf(c_159789,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159788,c_157069]) ).
tcf(c_159792,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_159626,c_145177]) ).
tcf(c_159793,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159792,c_157069]) ).
tcf(c_159796,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_159625,c_145177]) ).
tcf(c_159797,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159796,c_157069]) ).
tcf(c_159800,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(X0)) ),
inference(light_normalisation,[status(thm)],[c_159668,c_145177]) ).
tcf(c_159801,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK12(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159800,c_157069]) ).
tcf(c_159807,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159659,c_145177,c_145180]) ).
tcf(c_159808,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159807,c_157069]) ).
tcf(c_159818,plain,
( ( k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159651,c_145177,c_145180]) ).
tcf(c_159819,plain,
( ( k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159818,c_157069]) ).
tcf(c_159826,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_159656,c_145177,c_145180]) ).
tcf(c_159827,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159826,c_157069]) ).
tcf(c_159973,plain,
k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_159671,c_116034]) ).
tcf(c_159974,plain,
k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_159671,c_115761]) ).
tcf(c_159975,plain,
( ~ l1_pre_topc(sK10(sK10(sK14(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_158975,c_130886]) ).
tcf(c_159976,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK8))))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158975,c_114892]) ).
tcf(c_159977,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK8)))) = sK22(sK10(sK10(sK14(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK14(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_158975,c_124845]) ).
tcf(c_159978,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK14(sK8)))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158975,c_114795]) ).
tcf(c_159979,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK14(sK8))))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158975,c_254]) ).
tcf(c_159981,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_159977,c_158975]) ).
tcf(c_159982,plain,
( ( u1_struct_0(sK10(sK10(sK14(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK14(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK14(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK14(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159981,c_114344]) ).
tcf(c_160031,plain,
sK22(sK10(sK10(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_146548]) ).
tcf(c_160032,plain,
sK22(sK10(sK10(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_146548]) ).
tcf(c_160033,plain,
sK22(sK10(sK10(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_146548]) ).
tcf(c_160034,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_146548]) ).
tcf(c_160035,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_146548]) ).
tcf(c_160040,plain,
( ~ l1_pre_topc(sK10(sK10(sK10(sK2))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK2))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_160031,c_130886]) ).
tcf(c_160041,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK2))))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_160031,c_114892]) ).
tcf(c_160042,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK2)))) = sK22(sK10(sK10(sK10(sK2)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK2)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK10(sK2)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK2)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_160031,c_124845]) ).
tcf(c_160043,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK10(sK2)))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_160031,c_114795]) ).
tcf(c_160044,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK2))))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_160031,c_254]) ).
tcf(c_160046,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK2)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_160042,c_160031]) ).
tcf(c_160047,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK2)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK10(sK2))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK2)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK2)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160046,c_114344]) ).
tcf(c_160054,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_159672,c_1178]) ).
tcf(c_160055,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_159672,c_152]) ).
tcf(c_160059,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_159672,c_8259]) ).
tcf(c_160060,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_159672,c_8246]) ).
tcf(c_160065,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_160060,c_116663,c_8268]) ).
tcf(c_160066,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_160059,c_159973,c_159974]) ).
tcf(c_160067,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160066,c_119983]) ).
tcf(c_160086,plain,
( ~ l1_pre_topc(sK10(sK10(sK10(sK3))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK3))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_160033,c_130886]) ).
tcf(c_160087,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK3))))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_160033,c_114892]) ).
tcf(c_160088,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK3)))) = sK22(sK10(sK10(sK10(sK3)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK3)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK10(sK3)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK3)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_160033,c_124845]) ).
tcf(c_160089,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK10(sK3)))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_160033,c_114795]) ).
tcf(c_160090,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK3))))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_160033,c_254]) ).
tcf(c_160092,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK3)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_160088,c_160033]) ).
tcf(c_160093,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK3)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK10(sK3))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK3)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK3)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160092,c_114344]) ).
tcf(c_160106,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_151181]) ).
tcf(c_160107,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_122521,c_151181]) ).
tcf(c_160108,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_116009,c_151181]) ).
tcf(c_160109,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_145177,c_151181]) ).
tcf(c_160110,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_160106,c_8236]) ).
tcf(c_160111,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_30)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160110,c_8266]) ).
tcf(c_160114,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_160107,c_122520]) ).
tcf(c_160115,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_160108,c_116415]) ).
tcf(c_160116,plain,
( ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160115,c_173]) ).
tcf(c_160119,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_160109,c_145180]) ).
tcf(c_160120,plain,
( ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160119,c_157069]) ).
tcf(c_160123,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_153323,c_44162,c_45362,c_53527]) ).
tcf(c_160136,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_154077]) ).
tcf(c_160137,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_154077]) ).
tcf(c_160138,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116009,c_154077]) ).
tcf(c_160139,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_154077]) ).
tcf(c_160140,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160136,c_8236]) ).
tcf(c_160141,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160137,c_122520]) ).
tcf(c_160142,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160141,c_122454]) ).
tcf(c_160145,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160138,c_116415]) ).
tcf(c_160146,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160145,c_173]) ).
tcf(c_160149,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160139,c_145180]) ).
tcf(c_160150,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160149,c_157069]) ).
tcf(c_160183,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_156258]) ).
tcf(c_160184,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_156258]) ).
tcf(c_160185,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116009,c_156258]) ).
tcf(c_160186,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_156258]) ).
tcf(c_160187,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160183,c_8236]) ).
tcf(c_160188,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160184,c_122520]) ).
tcf(c_160189,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160185,c_116415]) ).
tcf(c_160190,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_160186,c_145180]) ).
tcf(c_160191,plain,
( ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160190,c_157069]) ).
tcf(c_160201,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(iPr_def_18),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8225,c_116112]) ).
tcf(c_160202,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(iPr_def_20),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8227,c_116112]) ).
tcf(c_160203,plain,
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(iPr_def_28),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8235,c_116112]) ).
tcf(c_160214,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(iPr_def_18),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_116113]) ).
tcf(c_160215,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(iPr_def_20),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_116113]) ).
tcf(c_160216,plain,
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(iPr_def_28),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_116113]) ).
tcf(c_160220,plain,
( ~ l1_pre_topc(sK10(sK10(sK10(sK8))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK8))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_160032,c_130886]) ).
tcf(c_160221,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK8))))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_160032,c_114892]) ).
tcf(c_160222,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK8)))) = sK22(sK10(sK10(sK10(sK8)))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK8)))),sK2)
| ~ m1_subset_1(sK22(sK10(sK10(sK10(sK8)))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK8)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_160032,c_124845]) ).
tcf(c_160223,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK10(sK8)))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_160032,c_114795]) ).
tcf(c_160224,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK10(sK10(sK8))))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_160032,c_254]) ).
tcf(c_160226,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK10(sK10(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK8)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_160222,c_160032]) ).
tcf(c_160227,plain,
( ( u1_struct_0(sK10(sK10(sK10(sK8)))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK10(sK10(sK10(sK8))))
| ~ v1_tsp_1(u1_struct_0(sK10(sK10(sK10(sK8)))),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK10(sK10(sK8)))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160226,c_114344]) ).
tcf(c_160255,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115274,c_149729]) ).
tcf(c_160256,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115275,c_149729]) ).
tcf(c_160257,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_149729]) ).
tcf(c_160287,plain,
~ r1_tarski(iPr_def_21,k2_tex_4(sK2,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_141738,c_149729]) ).
tcf(c_160288,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_142118,c_149729]) ).
tcf(c_160290,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_153282,c_149729]) ).
tcf(c_160368,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115274,c_149891]) ).
tcf(c_160369,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115275,c_149891]) ).
tcf(c_160370,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_149891]) ).
tcf(c_160398,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_150296,c_149891]) ).
tcf(c_160400,plain,
~ r1_tarski(iPr_def_19,k2_tex_4(sK3,sK12(iPr_def_18))),
inference(superposition,[status(thm)],[c_142118,c_149891]) ).
tcf(c_160401,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_149891]) ).
tcf(c_160436,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK16(k1_zfmisc_1(X0)))
| r1_tarski(sK12(sK16(k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_114668,c_150070]) ).
tcf(c_160437,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tex_4(sK3,X0))
| r1_tarski(sK12(k2_tex_4(sK3,X0)),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),k1_zfmisc_1(X1))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_150070]) ).
tcf(c_160438,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| r1_tarski(sK12(k2_tex_4(sK2,X0)),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),k1_zfmisc_1(X1))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_150070]) ).
tcf(c_160439,plain,
! [X0: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| r1_tarski(sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0)))),X0) ),
inference(superposition,[status(thm)],[c_114667,c_150070]) ).
tcf(c_160441,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| r1_tarski(sK12(u1_struct_0(sK10(sK2))),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_147592,c_150070]) ).
tcf(c_160442,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| r1_tarski(sK12(u1_struct_0(sK10(sK2))),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_138881,c_150070]) ).
tcf(c_160443,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| r1_tarski(sK12(u1_struct_0(sK10(sK2))),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_132626,c_150070]) ).
tcf(c_160444,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| r1_tarski(sK12(u1_struct_0(sK10(sK2))),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_120927,c_150070]) ).
tcf(c_160445,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| r1_tarski(sK12(u1_struct_0(sK10(sK2))),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_150070]) ).
tcf(c_160446,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| r1_tarski(sK12(u1_struct_0(sK14(sK2))),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_147642,c_150070]) ).
tcf(c_160447,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| r1_tarski(sK12(u1_struct_0(sK14(sK2))),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_139038,c_150070]) ).
tcf(c_160448,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| r1_tarski(sK12(u1_struct_0(sK14(sK2))),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_132652,c_150070]) ).
tcf(c_160449,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| r1_tarski(sK12(u1_struct_0(sK14(sK2))),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_120961,c_150070]) ).
tcf(c_160450,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| r1_tarski(sK12(u1_struct_0(sK14(sK2))),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_150070]) ).
tcf(c_160451,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| r1_tarski(sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_115617,c_150070]) ).
tcf(c_160452,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| r1_tarski(sK12(sK17(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_147481,c_150070]) ).
tcf(c_160453,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| r1_tarski(sK12(sK17(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_132263,c_150070]) ).
tcf(c_160454,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| r1_tarski(sK12(sK17(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_120813,c_150070]) ).
tcf(c_160455,plain,
! [X0: $i] :
( v1_xboole_0(sK17(sK2))
| r1_tarski(sK12(sK17(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_150070]) ).
tcf(c_160456,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| r1_tarski(sK12(sK19(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_147507,c_150070]) ).
tcf(c_160457,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| r1_tarski(sK12(sK19(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_132547,c_150070]) ).
tcf(c_160458,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| r1_tarski(sK12(sK19(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_120853,c_150070]) ).
tcf(c_160459,plain,
! [X0: $i] :
( v1_xboole_0(sK19(sK2))
| r1_tarski(sK12(sK19(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_150070]) ).
tcf(c_160460,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| r1_tarski(sK12(sK25(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_147546,c_150070]) ).
tcf(c_160461,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| r1_tarski(sK12(sK25(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_132573,c_150070]) ).
tcf(c_160462,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| r1_tarski(sK12(sK25(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0))) ) ),
inference(superposition,[status(thm)],[c_120879,c_150070]) ).
tcf(c_160463,plain,
! [X0: $i] :
( v1_xboole_0(sK25(sK2))
| r1_tarski(sK12(sK25(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_150070]) ).
tcf(c_160464,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_22)
| r1_tarski(sK12(iPr_def_22),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(iPr_def_22,k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_114612,c_150070]) ).
tcf(c_160465,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_23)
| r1_tarski(sK12(iPr_def_23),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(iPr_def_23,k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_114607,c_150070]) ).
tcf(c_160466,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r1_tarski(sK12(sK7(sK2,X0)),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),k1_zfmisc_1(X1)))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),k1_zfmisc_1(X1))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_150070]) ).
tcf(c_160467,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_24)
| r1_tarski(sK12(iPr_def_24),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(iPr_def_24,k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_114602,c_150070]) ).
tcf(c_160468,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X1)
| v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0)),X1))
| r1_tarski(sK12(sK6(k1_zfmisc_1(k1_zfmisc_1(X0)),X1)),X0) ),
inference(superposition,[status(thm)],[c_124673,c_150070]) ).
tcf(c_160469,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,iPr_def_30))
| r1_tarski(sK12(k2_tex_4(sK2,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_140193,c_150070]) ).
tcf(c_160470,plain,
! [X0: $i] :
( v1_xboole_0(sK13(iPr_def_20,iPr_def_18))
| r1_tarski(sK12(sK13(iPr_def_20,iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_138461,c_150070]) ).
tcf(c_160471,plain,
! [X0: $i] :
( v1_xboole_0(sK11(iPr_def_20,iPr_def_18))
| r1_tarski(sK12(sK11(iPr_def_20,iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_138639,c_150070]) ).
tcf(c_160472,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK10(sK3)))
| r1_tarski(sK12(u1_struct_0(sK10(sK3))),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_139563,c_150070]) ).
tcf(c_160473,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK14(sK3)))
| r1_tarski(sK12(u1_struct_0(sK14(sK3))),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_139717,c_150070]) ).
tcf(c_160474,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,iPr_def_30))
| r1_tarski(sK12(k2_tex_4(sK3,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_139941,c_150070]) ).
tcf(c_160475,plain,
! [X0: $i] :
( v1_xboole_0(k1_tarski(sK12(iPr_def_20)))
| r1_tarski(sK12(k1_tarski(sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_140640,c_150070]) ).
tcf(c_160476,plain,
! [X0: $i] :
( v1_xboole_0(k1_tarski(sK12(iPr_def_18)))
| r1_tarski(sK12(k1_tarski(sK12(iPr_def_18))),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_140811,c_150070]) ).
tcf(c_160477,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| r1_tarski(sK12(k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_145140,c_150070]) ).
tcf(c_160483,plain,
! [X0: $i] :
( v1_xboole_0(sK16(k1_zfmisc_1(X0)))
| r1_tarski(sK12(sK16(k1_zfmisc_1(X0))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160436,c_186]) ).
tcf(c_160489,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_tarski(sK12(iPr_def_18))),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160476,c_191]) ).
tcf(c_160492,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_tarski(sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160475,c_191]) ).
tcf(c_160495,plain,
! [X0: $i] :
( r1_tarski(sK12(k2_tex_4(sK3,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160474,c_126267]) ).
tcf(c_160510,plain,
! [X0: $i] :
( r1_tarski(sK12(k2_tex_4(sK2,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160469,c_127572]) ).
tcf(c_160600,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_24),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(iPr_def_24,k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160467,c_8254]) ).
tcf(c_160605,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_23),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(iPr_def_23,k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160465,c_8252]) ).
tcf(c_160610,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_22),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK6(iPr_def_22,k1_zfmisc_1(X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160464,c_8250]) ).
tcf(c_160913,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k1_tarski(k1_funct_1(sK4,iPr_def_30)) ) ),
inference(light_normalisation,[status(thm)],[c_145214,c_145173,c_145177]) ).
tcf(c_160924,plain,
sK12(k1_zfmisc_1(sK22(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_150440]) ).
tcf(c_160925,plain,
sK12(k1_zfmisc_1(sK22(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_150440]) ).
tcf(c_160926,plain,
sK12(k1_zfmisc_1(sK22(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_150440]) ).
tcf(c_160927,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_150440]) ).
tcf(c_160928,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_150440]) ).
tcf(c_160940,plain,
sK12(k1_zfmisc_1(sK22(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_150441]) ).
tcf(c_160941,plain,
sK12(k1_zfmisc_1(sK22(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_150441]) ).
tcf(c_160942,plain,
sK12(k1_zfmisc_1(sK22(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_150441]) ).
tcf(c_160943,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_150441]) ).
tcf(c_160944,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_150441]) ).
tcf(c_160957,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150778,c_1178]) ).
tcf(c_160958,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150778,c_152]) ).
tcf(c_160959,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_61]) ).
tcf(c_160962,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_150778,c_8259]) ).
tcf(c_160963,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_150778,c_8246]) ).
tcf(c_160964,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_150778,c_8258]) ).
tcf(c_160965,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_150778,c_8245]) ).
tcf(c_160966,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_150778,c_114471]) ).
tcf(c_160967,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_150778,c_114472]) ).
tcf(c_160968,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18) ),
inference(superposition,[status(thm)],[c_150778,c_114475]) ).
tcf(c_160969,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_19,sK6(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_150778,c_114497]) ).
tcf(c_160970,plain,
( ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_149729]) ).
tcf(c_160972,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_115529]) ).
tcf(c_160973,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_128064]) ).
tcf(c_160975,plain,
( v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_150778,c_119169]) ).
tcf(c_160976,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_125883]) ).
tcf(c_160979,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_126685]) ).
tcf(c_160980,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_126762]) ).
tcf(c_160981,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_126825]) ).
tcf(c_160985,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_127375]) ).
tcf(c_160986,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_127835]) ).
tcf(c_160987,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_128180]) ).
tcf(c_160988,plain,
( ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_131210]) ).
tcf(c_160989,plain,
( ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_131277]) ).
tcf(c_160990,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_142563]) ).
tcf(c_160991,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_131380]) ).
tcf(c_160992,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_131637]) ).
tcf(c_160996,plain,
( ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_135483]) ).
tcf(c_160997,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_137610]) ).
tcf(c_161000,plain,
~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_160968,c_144158]) ).
tcf(c_161034,plain,
~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_160975,c_150752]) ).
tcf(c_161051,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_160966,c_150753]) ).
tcf(c_161182,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_115690]) ).
tcf(c_161185,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_150895,c_117091]) ).
tcf(c_161186,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_133077]) ).
tcf(c_161187,plain,
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_150895,c_125044]) ).
tcf(c_161188,plain,
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_150895,c_114653]) ).
tcf(c_161192,plain,
( ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_133079]) ).
tcf(c_161193,plain,
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_150895,c_125046]) ).
tcf(c_161194,plain,
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_150895,c_114655]) ).
tcf(c_161195,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_150895,c_142573]) ).
tcf(c_161196,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,sK12(iPr_def_20)))
| r1_tarski(sK12(k2_tex_4(sK2,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_150895,c_150070]) ).
tcf(c_161197,plain,
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_161194,c_8235]) ).
tcf(c_161200,plain,
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_161193,c_8235]) ).
tcf(c_161203,plain,
( m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_161188,c_8225]) ).
tcf(c_161206,plain,
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_161187,c_8225]) ).
tcf(c_161209,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_161192,c_8235]) ).
tcf(c_161212,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_161186,c_8225]) ).
tcf(c_161218,plain,
! [X0: $i] :
( r1_tarski(sK12(k2_tex_4(sK2,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161196,c_141412]) ).
tcf(c_161221,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK2,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161195,c_141412]) ).
tcf(c_161225,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161185,c_141413]) ).
tcf(c_161347,plain,
( ( k4_tex_4(sK3,iPr_def_30) = iPr_def_18 )
| ~ m1_subset_1(iPr_def_30,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116046,c_132427]) ).
tcf(c_161348,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116041,c_132427]) ).
tcf(c_161349,plain,
( ( k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_144381,c_132427]) ).
tcf(c_161350,plain,
( ( k2_tex_4(sK3,iPr_def_30) = iPr_def_18 )
| ~ m1_subset_1(iPr_def_30,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161347,c_116046]) ).
tcf(c_161352,plain,
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161348,c_116041]) ).
tcf(c_161354,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161349,c_144381]) ).
tcf(c_161364,plain,
( ( k1_struct_0(sK3,iPr_def_30) = iPr_def_18 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ m1_subset_1(iPr_def_30,iPr_def_18)
| ~ m1_subset_1(k1_struct_0(sK3,iPr_def_30),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8237,c_132441]) ).
tcf(c_161365,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k1_struct_0(sK3,sK12(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115768,c_132441]) ).
tcf(c_161366,plain,
( ( k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_struct_0(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_144382,c_132441]) ).
tcf(c_161367,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2)
| ~ m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_161364,c_8237]) ).
tcf(c_161369,plain,
( ( k1_tarski(sK12(iPr_def_18)) = iPr_def_18 )
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161365,c_115768]) ).
tcf(c_161371,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161366,c_144382]) ).
tcf(c_161399,plain,
( ( k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_149719,c_132427]) ).
tcf(c_161400,plain,
( r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_149719,c_121406]) ).
tcf(c_161401,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_149719,c_124185]) ).
tcf(c_161402,plain,
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_149719,c_115986]) ).
tcf(c_161403,plain,
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_149719,c_115978]) ).
tcf(c_161404,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_149719,c_115087]) ).
tcf(c_161405,plain,
~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_161404,c_149326]) ).
tcf(c_161406,plain,
m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_161403,c_149326]) ).
tcf(c_161407,plain,
r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_161402,c_149326]) ).
tcf(c_161408,plain,
r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_161400,c_149326]) ).
tcf(c_161409,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_161401,c_149326]) ).
tcf(c_161410,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161399,c_149719]) ).
tcf(c_161411,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161410,c_149326]) ).
tcf(c_161416,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_161406,c_116042]) ).
tcf(c_161417,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_161406,c_115769]) ).
tcf(c_161419,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK3) ),
inference(superposition,[status(thm)],[c_161406,c_116308]) ).
tcf(c_161430,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_115690]) ).
tcf(c_161433,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151014,c_117091]) ).
tcf(c_161437,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_133078]) ).
tcf(c_161438,plain,
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151014,c_125045]) ).
tcf(c_161439,plain,
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151014,c_114654]) ).
tcf(c_161440,plain,
( ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_133079]) ).
tcf(c_161441,plain,
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151014,c_125046]) ).
tcf(c_161442,plain,
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151014,c_114655]) ).
tcf(c_161443,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK3,sK12(iPr_def_18)))) ),
inference(superposition,[status(thm)],[c_151014,c_142573]) ).
tcf(c_161444,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,sK12(iPr_def_18)))
| r1_tarski(sK12(k2_tex_4(sK3,sK12(iPr_def_18))),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_151014,c_150070]) ).
tcf(c_161445,plain,
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_161442,c_8235]) ).
tcf(c_161448,plain,
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_161441,c_8235]) ).
tcf(c_161451,plain,
( m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161439,c_8227]) ).
tcf(c_161454,plain,
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161438,c_8227]) ).
tcf(c_161457,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_161440,c_8235]) ).
tcf(c_161460,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_161437,c_8227]) ).
tcf(c_161466,plain,
! [X0: $i] :
( r1_tarski(sK12(k2_tex_4(sK3,sK12(iPr_def_18))),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161444,c_142088]) ).
tcf(c_161469,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k2_tex_4(sK3,sK12(iPr_def_18)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161443,c_142088]) ).
tcf(c_161551,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_18,sK5(sK3,X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115274,c_151171]) ).
tcf(c_161552,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK5(sK2,X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115275,c_151171]) ).
tcf(c_161553,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_151171]) ).
tcf(c_161581,plain,
~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_150296,c_151171]) ).
tcf(c_161584,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150778,c_151171]) ).
tcf(c_161586,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_153282,c_151171]) ).
tcf(c_161632,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_114498,c_150105]) ).
tcf(c_161634,plain,
( v1_tsp_2(k1_zfmisc_1(k1_xboole_0),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,k1_zfmisc_1(k1_xboole_0)))
| ~ v1_tsp_1(k1_zfmisc_1(k1_xboole_0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k1_xboole_0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_150105]) ).
tcf(c_161635,plain,
( v1_tsp_2(k1_zfmisc_1(k1_xboole_0),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,k1_zfmisc_1(k1_xboole_0)))
| ~ v1_tsp_1(k1_zfmisc_1(k1_xboole_0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(k1_xboole_0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_150105]) ).
tcf(c_161653,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151708]) ).
tcf(c_161668,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK3)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_116843,c_152818]) ).
tcf(c_161709,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_160972]) ).
tcf(c_161710,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_160972]) ).
tcf(c_161711,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116009,c_160972]) ).
tcf(c_161712,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_160972]) ).
tcf(c_161713,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_161709,c_8236]) ).
tcf(c_161714,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_161710,c_122520]) ).
tcf(c_161715,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_161711,c_116415]) ).
tcf(c_161716,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161715,c_173]) ).
tcf(c_161719,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_161712,c_145180]) ).
tcf(c_161720,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161719,c_157069]) ).
tcf(c_161730,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X0)) ),
inference(superposition,[status(thm)],[c_8238,c_115642]) ).
tcf(c_161731,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X0)) ),
inference(superposition,[status(thm)],[c_122521,c_115642]) ).
tcf(c_161732,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X0)) ),
inference(superposition,[status(thm)],[c_116009,c_115642]) ).
tcf(c_161733,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_145177,c_115642]) ).
tcf(c_161734,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27),X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK6(iPr_def_30,X0)) ),
inference(superposition,[status(thm)],[c_8236,c_115642]) ).
tcf(c_161735,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK6(k1_funct_1(sK4,sK12(iPr_def_20)),X0)) ),
inference(superposition,[status(thm)],[c_116415,c_115642]) ).
tcf(c_161736,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK6(k1_funct_1(sK4,iPr_def_30),X0)) ),
inference(superposition,[status(thm)],[c_122520,c_115642]) ).
tcf(c_161737,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_145180,c_115642]) ).
tcf(c_161738,plain,
! [X0: $i] :
( r1_tarski(iPr_def_30,X0)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,sK6(iPr_def_30,X0)) ),
inference(light_normalisation,[status(thm)],[c_161734,c_8236,c_8238]) ).
tcf(c_161739,plain,
! [X0: $i] :
( r1_tarski(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,sK6(iPr_def_30,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161738,c_8266]) ).
tcf(c_161742,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK6(k1_funct_1(sK4,iPr_def_30),X0)) ),
inference(light_normalisation,[status(thm)],[c_161736,c_122520,c_122521]) ).
tcf(c_161743,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK6(k1_funct_1(sK4,iPr_def_30),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161742,c_122454]) ).
tcf(c_161750,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK6(k1_funct_1(sK4,sK12(iPr_def_20)),X0)) ),
inference(light_normalisation,[status(thm)],[c_161735,c_116009,c_116415]) ).
tcf(c_161751,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK6(k1_funct_1(sK4,sK12(iPr_def_20)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161750,c_173]) ).
tcf(c_161756,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(light_normalisation,[status(thm)],[c_161737,c_145177,c_145180]) ).
tcf(c_161757,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_161756,c_157069]) ).
tcf(c_161849,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_161407,c_1178]) ).
tcf(c_161850,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_161407,c_152]) ).
tcf(c_161854,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_161407,c_8259]) ).
tcf(c_161855,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_161407,c_8246]) ).
tcf(c_161886,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_115690]) ).
tcf(c_161887,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_151380,c_152783]) ).
tcf(c_161888,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_151380,c_142564]) ).
tcf(c_161889,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151380,c_117091]) ).
tcf(c_161890,plain,
( ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18))
| ~ r2_hidden(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_133077]) ).
tcf(c_161891,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_151380,c_125044]) ).
tcf(c_161892,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_151380,c_114653]) ).
tcf(c_161893,plain,
( ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20))
| ~ r2_hidden(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_133078]) ).
tcf(c_161894,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151380,c_125045]) ).
tcf(c_161895,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151380,c_114654]) ).
tcf(c_161896,plain,
( ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28))
| ~ r2_hidden(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_133079]) ).
tcf(c_161897,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151380,c_125046]) ).
tcf(c_161898,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151380,c_114655]) ).
tcf(c_161899,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151380,c_142573]) ).
tcf(c_161900,plain,
! [X0: $i] :
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| r1_tarski(sK12(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_151380,c_150070]) ).
tcf(c_161901,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_18,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_161898,c_8235]) ).
tcf(c_161904,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_29)
| ~ r1_tarski(iPr_def_18,iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_161897,c_8235]) ).
tcf(c_161907,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161895,c_8227]) ).
tcf(c_161910,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_21)
| ~ r1_tarski(iPr_def_18,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_161894,c_8227]) ).
tcf(c_161913,plain,
( m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_161892,c_8225]) ).
tcf(c_161916,plain,
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19)
| ~ r1_tarski(iPr_def_18,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_161891,c_8225]) ).
tcf(c_161919,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_161896,c_8235]) ).
tcf(c_161922,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_161893,c_8227]) ).
tcf(c_161925,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_161890,c_8225]) ).
tcf(c_162034,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_153355]) ).
tcf(c_162035,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_153355]) ).
tcf(c_162036,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_153355]) ).
tcf(c_162038,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_153355]) ).
tcf(c_162039,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_32,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_153355]) ).
tcf(c_162040,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_32,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_153355]) ).
tcf(c_162041,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_153355]) ).
tcf(c_162042,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_153355]) ).
tcf(c_162047,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_153355]) ).
tcf(c_162048,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_153355]) ).
tcf(c_162049,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_153355]) ).
tcf(c_162051,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_153355]) ).
tcf(c_162053,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_153355]) ).
tcf(c_162054,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_153355]) ).
tcf(c_162055,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_153355]) ).
tcf(c_162056,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_153355]) ).
tcf(c_162058,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_153355]) ).
tcf(c_162059,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_153355]) ).
tcf(c_162060,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_153355]) ).
tcf(c_162061,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_153355]) ).
tcf(c_162063,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_153355]) ).
tcf(c_162064,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_153355]) ).
tcf(c_162065,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_153355]) ).
tcf(c_162066,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_153355]) ).
tcf(c_162067,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_153355]) ).
tcf(c_162068,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_153355]) ).
tcf(c_162069,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_153355]) ).
tcf(c_162070,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_153355]) ).
tcf(c_162071,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_153355]) ).
tcf(c_162072,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_153355]) ).
tcf(c_162073,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_153355]) ).
tcf(c_162074,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_153355]) ).
tcf(c_162076,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116843,c_153355]) ).
tcf(c_162079,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_32,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_153355]) ).
tcf(c_162121,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_153355]) ).
tcf(c_162159,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_153355]) ).
tcf(c_162160,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_153355]) ).
tcf(c_162169,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_153355]) ).
tcf(c_162170,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_153355]) ).
tcf(c_162532,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_153403]) ).
tcf(c_162533,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_153403]) ).
tcf(c_162534,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_153403]) ).
tcf(c_162535,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_153403]) ).
tcf(c_162537,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_153403]) ).
tcf(c_162538,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_32,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_153403]) ).
tcf(c_162539,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_32,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_153403]) ).
tcf(c_162540,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_153403]) ).
tcf(c_162541,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_153403]) ).
tcf(c_162542,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_153403]) ).
tcf(c_162543,plain,
( m1_subset_1(iPr_def_30,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_153403]) ).
tcf(c_162544,plain,
( m1_subset_1(iPr_def_30,u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_32,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_153403]) ).
tcf(c_162545,plain,
( m1_subset_1(iPr_def_30,u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_32,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_153403]) ).
tcf(c_162546,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_153403]) ).
tcf(c_162547,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_153403]) ).
tcf(c_162548,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_153403]) ).
tcf(c_162550,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_153403]) ).
tcf(c_162551,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_153403]) ).
tcf(c_162552,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_153403]) ).
tcf(c_162553,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_153403]) ).
tcf(c_162554,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_153403]) ).
tcf(c_162555,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_153403]) ).
tcf(c_162556,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_153403]) ).
tcf(c_162557,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_153403]) ).
tcf(c_162558,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_153403]) ).
tcf(c_162559,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_153403]) ).
tcf(c_162560,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_153403]) ).
tcf(c_162562,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_153403]) ).
tcf(c_162563,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_153403]) ).
tcf(c_162564,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_153403]) ).
tcf(c_162565,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_153403]) ).
tcf(c_162566,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_153403]) ).
tcf(c_162567,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_153403]) ).
tcf(c_162568,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_153403]) ).
tcf(c_162569,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_153403]) ).
tcf(c_162570,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_153403]) ).
tcf(c_162571,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_153403]) ).
tcf(c_162572,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_153403]) ).
tcf(c_162573,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_153403]) ).
tcf(c_162575,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| m1_subset_1(iPr_def_30,sK7(sK3,X0))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_153403]) ).
tcf(c_162576,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_32,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_153403]) ).
tcf(c_162577,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_32,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_153403]) ).
tcf(c_162578,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(iPr_def_30,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_32,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_153403]) ).
tcf(c_162579,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_32,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_153403]) ).
tcf(c_162582,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_153403]) ).
tcf(c_162583,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_153403]) ).
tcf(c_162584,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_153403]) ).
tcf(c_162599,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_153403]) ).
tcf(c_162615,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_153403]) ).
tcf(c_162616,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_153403]) ).
tcf(c_162617,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_32,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_153403]) ).
tcf(c_162620,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(iPr_def_30,X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_32,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_153403]) ).
tcf(c_162623,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,iPr_def_28)
| r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_32,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_153403]) ).
tcf(c_162625,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_153403]) ).
tcf(c_162628,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_153403]) ).
tcf(c_162629,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_153403]) ).
tcf(c_162631,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_153403]) ).
tcf(c_162635,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_153403]) ).
tcf(c_162637,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_153403]) ).
tcf(c_162639,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_153403]) ).
tcf(c_162641,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_153403]) ).
tcf(c_162643,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_153403]) ).
tcf(c_162645,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_153403]) ).
tcf(c_162649,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_153403]) ).
tcf(c_162651,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_153403]) ).
tcf(c_162653,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_153403]) ).
tcf(c_162658,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_153403]) ).
tcf(c_162659,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_153403]) ).
tcf(c_162660,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_153403]) ).
tcf(c_162661,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_153403]) ).
tcf(c_162662,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_153403]) ).
tcf(c_162663,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_153403]) ).
tcf(c_162664,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_153403]) ).
tcf(c_162667,plain,
( m1_subset_1(iPr_def_30,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_153403]) ).
tcf(c_162668,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_153403]) ).
tcf(c_162669,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_153403]) ).
tcf(c_163376,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_152783]) ).
tcf(c_163377,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_142564]) ).
tcf(c_163378,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_153694,c_117091]) ).
tcf(c_163379,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_133077]) ).
tcf(c_163380,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X0)),iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_125044]) ).
tcf(c_163381,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_114653]) ).
tcf(c_163382,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_133078]) ).
tcf(c_163383,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_125045]) ).
tcf(c_163384,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_114654]) ).
tcf(c_163385,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_29,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_133079]) ).
tcf(c_163386,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X0)),iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_125046]) ).
tcf(c_163387,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_114655]) ).
tcf(c_163388,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(sK12(k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_153694,c_142573]) ).
tcf(c_163389,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| r1_tarski(sK12(sK12(k1_zfmisc_1(X0))),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_153694,c_150070]) ).
tcf(c_163459,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_163378,c_57549]) ).
tcf(c_163471,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(k1_xboole_0)) = X0 )
| ~ v1_xboole_0(k1_xboole_0)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143635,c_163459]) ).
tcf(c_163475,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(k1_xboole_0)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_163471,c_143635]) ).
tcf(c_163549,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_115274,c_154067]) ).
tcf(c_163550,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_115275,c_154067]) ).
tcf(c_163551,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_154067]) ).
tcf(c_163584,plain,
~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_153282,c_154067]) ).
tcf(c_163604,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_115274,c_156248]) ).
tcf(c_163605,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_115275,c_156248]) ).
tcf(c_163606,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_156248]) ).
tcf(c_163638,plain,
~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_156136,c_156248]) ).
tcf(c_163656,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_158222,c_1178]) ).
tcf(c_163657,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_158222,c_152]) ).
tcf(c_163658,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_61]) ).
tcf(c_163661,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_158222,c_8259]) ).
tcf(c_163662,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_158222,c_8246]) ).
tcf(c_163663,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_158222,c_8258]) ).
tcf(c_163664,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_158222,c_8245]) ).
tcf(c_163665,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_158222,c_114471]) ).
tcf(c_163666,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_158222,c_114472]) ).
tcf(c_163668,plain,
! [X0: $i] :
( r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_21,sK6(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_158222,c_114497]) ).
tcf(c_163670,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_149891]) ).
tcf(c_163671,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_115529]) ).
tcf(c_163673,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_127905]) ).
tcf(c_163674,plain,
( v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_158222,c_119169]) ).
tcf(c_163676,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_125947]) ).
tcf(c_163681,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_126913]) ).
tcf(c_163682,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_127040]) ).
tcf(c_163683,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_127267]) ).
tcf(c_163684,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_127375]) ).
tcf(c_163686,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_128180]) ).
tcf(c_163687,plain,
( ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_131210]) ).
tcf(c_163688,plain,
( ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_131277]) ).
tcf(c_163689,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_142563]) ).
tcf(c_163692,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_131706]) ).
tcf(c_163693,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_131771]) ).
tcf(c_163694,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_134036]) ).
tcf(c_163697,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_137793]) ).
tcf(c_163702,plain,
~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_158222,c_157463]) ).
tcf(c_163736,plain,
~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_163674,c_157450]) ).
tcf(c_163750,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163666,c_157451]) ).
tcf(c_163872,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_163671]) ).
tcf(c_163873,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_163671]) ).
tcf(c_163874,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116009,c_163671]) ).
tcf(c_163875,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_163671]) ).
tcf(c_163876,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_163872,c_8236]) ).
tcf(c_163877,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_163873,c_122520]) ).
tcf(c_163878,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_163874,c_116415]) ).
tcf(c_163879,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_163875,c_145180]) ).
tcf(c_163918,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,X0))
| ( k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,X0))) = k2_tex_4(sK3,X0) )
| ( k5_subset_1(iPr_def_18,k2_tex_4(sK3,X0),k4_tex_4(sK3,sK12(k2_tex_4(sK3,X0)))) = k1_struct_0(sK3,sK12(k2_tex_4(sK3,X0))) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114081,c_119172]) ).
tcf(c_163919,plain,
( v1_xboole_0(iPr_def_25)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK12(iPr_def_25))) = k1_struct_0(sK3,sK12(iPr_def_25)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135890,c_119172]) ).
tcf(c_163920,plain,
( v1_xboole_0(iPr_def_25)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK12(iPr_def_25))) = k1_struct_0(sK3,sK12(iPr_def_25)) )
| ~ m1_subset_1(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128306,c_119172]) ).
tcf(c_163921,plain,
( v1_xboole_0(iPr_def_26)
| ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK12(iPr_def_26))) = k1_struct_0(sK3,sK12(iPr_def_26)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_135891,c_119172]) ).
tcf(c_163922,plain,
( v1_xboole_0(iPr_def_26)
| ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK12(iPr_def_26))) = k1_struct_0(sK3,sK12(iPr_def_26)) )
| ~ m1_subset_1(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_128307,c_119172]) ).
tcf(c_163924,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| v1_xboole_0(sK7(sK3,X0))
| ( k5_subset_1(iPr_def_18,sK7(sK3,X0),k4_tex_4(sK3,sK12(sK7(sK3,X0)))) = k1_struct_0(sK3,sK12(sK7(sK3,X0))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(sK7(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116486,c_119172]) ).
tcf(c_163925,plain,
( ( k1_struct_0(sK3,sK5(sK3,iPr_def_26)) = k1_tarski(sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK12(iPr_def_26))) = k1_struct_0(sK3,sK12(iPr_def_26)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163922,c_8264,c_8263]) ).
tcf(c_163928,plain,
( ( k1_struct_0(sK3,sK5(sK3,iPr_def_25)) = k1_tarski(sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK12(iPr_def_25))) = k1_struct_0(sK3,sK12(iPr_def_25)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163920,c_8262,c_8261]) ).
tcf(c_163931,plain,
( ( k4_tex_4(sK3,sK5(sK3,iPr_def_26)) = k2_tex_4(sK3,sK5(sK3,iPr_def_26)) )
| ( k5_subset_1(iPr_def_18,iPr_def_26,k4_tex_4(sK3,sK12(iPr_def_26))) = k1_struct_0(sK3,sK12(iPr_def_26)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163921,c_8264,c_8263]) ).
tcf(c_163934,plain,
( ( k4_tex_4(sK3,sK5(sK3,iPr_def_25)) = k2_tex_4(sK3,sK5(sK3,iPr_def_25)) )
| ( k5_subset_1(iPr_def_18,iPr_def_25,k4_tex_4(sK3,sK12(iPr_def_25))) = k1_struct_0(sK3,sK12(iPr_def_25)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163919,c_8262,c_8261]) ).
tcf(c_163972,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK12(k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK12(k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146669,c_119173]) ).
tcf(c_163973,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK12(k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK12(k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132053,c_119173]) ).
tcf(c_163974,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK12(k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK12(k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120613,c_119173]) ).
tcf(c_163975,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK12(k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK12(k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116624,c_119173]) ).
tcf(c_163976,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,X0),k4_tex_4(sK2,sK12(k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK12(k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114062,c_119173]) ).
tcf(c_163977,plain,
( v1_xboole_0(iPr_def_22)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146665,c_119173]) ).
tcf(c_163978,plain,
( v1_xboole_0(iPr_def_22)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132049,c_119173]) ).
tcf(c_163979,plain,
( v1_xboole_0(iPr_def_22)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120609,c_119173]) ).
tcf(c_163980,plain,
( v1_xboole_0(iPr_def_22)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114137,c_119173]) ).
tcf(c_163981,plain,
( v1_xboole_0(iPr_def_23)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146666,c_119173]) ).
tcf(c_163982,plain,
( v1_xboole_0(iPr_def_23)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132050,c_119173]) ).
tcf(c_163983,plain,
( v1_xboole_0(iPr_def_23)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120610,c_119173]) ).
tcf(c_163984,plain,
( v1_xboole_0(iPr_def_23)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114138,c_119173]) ).
tcf(c_163985,plain,
( v1_xboole_0(iPr_def_24)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146667,c_119173]) ).
tcf(c_163986,plain,
( v1_xboole_0(iPr_def_24)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132051,c_119173]) ).
tcf(c_163987,plain,
( v1_xboole_0(iPr_def_24)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120611,c_119173]) ).
tcf(c_163988,plain,
( v1_xboole_0(iPr_def_24)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114139,c_119173]) ).
tcf(c_163989,plain,
( v1_xboole_0(iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_18))) = k1_struct_0(sK2,sK12(iPr_def_18)) )
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116663,c_119173]) ).
tcf(c_163991,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146679,c_119173]) ).
tcf(c_163992,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132063,c_119173]) ).
tcf(c_163993,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120622,c_119173]) ).
tcf(c_163994,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114962,c_119173]) ).
tcf(c_163995,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146680,c_119173]) ).
tcf(c_163996,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132064,c_119173]) ).
tcf(c_163997,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120623,c_119173]) ).
tcf(c_163998,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115162,c_119173]) ).
tcf(c_163999,plain,
( v1_xboole_0(sK17(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146682,c_119173]) ).
tcf(c_164000,plain,
( v1_xboole_0(sK17(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132066,c_119173]) ).
tcf(c_164001,plain,
( v1_xboole_0(sK17(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120625,c_119173]) ).
tcf(c_164002,plain,
( v1_xboole_0(sK17(sK2))
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115499,c_119173]) ).
tcf(c_164003,plain,
( v1_xboole_0(sK19(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146683,c_119173]) ).
tcf(c_164004,plain,
( v1_xboole_0(sK19(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132067,c_119173]) ).
tcf(c_164005,plain,
( v1_xboole_0(sK19(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120626,c_119173]) ).
tcf(c_164006,plain,
( v1_xboole_0(sK19(sK2))
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115506,c_119173]) ).
tcf(c_164007,plain,
( v1_xboole_0(sK25(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146684,c_119173]) ).
tcf(c_164008,plain,
( v1_xboole_0(sK25(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132068,c_119173]) ).
tcf(c_164009,plain,
( v1_xboole_0(sK25(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120627,c_119173]) ).
tcf(c_164010,plain,
( v1_xboole_0(sK25(sK2))
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115516,c_119173]) ).
tcf(c_164011,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116492,c_119173]) ).
tcf(c_164012,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_18))) = k1_struct_0(sK2,sK12(iPr_def_18)),
inference(forward_subsumption_resolution,[status(thm)],[c_163989,c_8242,c_8268]) ).
tcf(c_164013,plain,
( ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163987,c_8254,c_8253]) ).
tcf(c_164016,plain,
( ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163983,c_8252,c_8251]) ).
tcf(c_164019,plain,
( ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163979,c_8250,c_8249]) ).
tcf(c_164022,plain,
( ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163986,c_8254,c_8253]) ).
tcf(c_164025,plain,
( ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163982,c_8252,c_8251]) ).
tcf(c_164028,plain,
( ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163978,c_8250,c_8249]) ).
tcf(c_164031,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163985,c_8254,c_8253]) ).
tcf(c_164034,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163981,c_8252,c_8251]) ).
tcf(c_164037,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163977,c_8250,c_8249]) ).
tcf(c_164040,plain,
( v1_xboole_0(sK25(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164009,c_115432]) ).
tcf(c_164044,plain,
( v1_xboole_0(sK19(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164005,c_115387]) ).
tcf(c_164048,plain,
( v1_xboole_0(sK17(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164001,c_115361]) ).
tcf(c_164052,plain,
( v1_xboole_0(sK25(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164008,c_115432]) ).
tcf(c_164056,plain,
( v1_xboole_0(sK19(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164004,c_115387]) ).
tcf(c_164060,plain,
( v1_xboole_0(sK17(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164000,c_115361]) ).
tcf(c_164070,plain,
( v1_xboole_0(sK25(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164007,c_115432]) ).
tcf(c_164074,plain,
( v1_xboole_0(sK19(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164003,c_115387]) ).
tcf(c_164078,plain,
( v1_xboole_0(sK17(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163999,c_115361]) ).
tcf(c_164082,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163997,c_115077]) ).
tcf(c_164086,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163993,c_114775]) ).
tcf(c_164090,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163996,c_115077]) ).
tcf(c_164094,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163992,c_114775]) ).
tcf(c_164103,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163995,c_115077]) ).
tcf(c_164107,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163991,c_114775]) ).
tcf(c_164126,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163988,c_8254,c_8253]) ).
tcf(c_164130,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163984,c_8252,c_8251]) ).
tcf(c_164134,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163980,c_8250,c_8249]) ).
tcf(c_164138,plain,
( v1_xboole_0(sK25(sK2))
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164010,c_115432]) ).
tcf(c_164143,plain,
( v1_xboole_0(sK19(sK2))
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164006,c_115387]) ).
tcf(c_164148,plain,
( v1_xboole_0(sK17(sK2))
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164002,c_115361]) ).
tcf(c_164153,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163998,c_115077]) ).
tcf(c_164158,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163994,c_114775]) ).
tcf(c_164387,plain,
( ( k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_struct_0(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_149720,c_132441]) ).
tcf(c_164388,plain,
( r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_149720,c_121407]) ).
tcf(c_164389,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_149720,c_124571]) ).
tcf(c_164390,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_149720,c_115999]) ).
tcf(c_164391,plain,
( m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_149720,c_115989]) ).
tcf(c_164392,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_164391,c_149326]) ).
tcf(c_164393,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_164390,c_149326]) ).
tcf(c_164394,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_164388,c_149326]) ).
tcf(c_164395,plain,
~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_164389,c_149326]) ).
tcf(c_164396,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_164387,c_149720]) ).
tcf(c_164397,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164396,c_149326]) ).
tcf(c_164445,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_164392,c_116042]) ).
tcf(c_164446,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_164392,c_115769]) ).
tcf(c_164448,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3) ),
inference(superposition,[status(thm)],[c_164392,c_116308]) ).
tcf(c_164460,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_160055,c_1178]) ).
tcf(c_164461,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_160055,c_152]) ).
tcf(c_164462,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_18,X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_61]) ).
tcf(c_164465,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_160055,c_8259]) ).
tcf(c_164466,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_160055,c_8246]) ).
tcf(c_164467,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_160055,c_8258]) ).
tcf(c_164468,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_160055,c_8245]) ).
tcf(c_164469,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_19)
| ~ r1_tarski(iPr_def_18,sK5(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_160055,c_114471]) ).
tcf(c_164470,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK5(sK2,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_160055,c_114472]) ).
tcf(c_164471,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)
| ~ r1_tarski(iPr_def_18,sK6(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),X0)) ),
inference(superposition,[status(thm)],[c_160055,c_114497]) ).
tcf(c_164473,plain,
( ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_149891]) ).
tcf(c_164474,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_115529]) ).
tcf(c_164476,plain,
( ~ r1_tarski(iPr_def_18,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_127905]) ).
tcf(c_164477,plain,
( v1_xboole_0(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_18,sK12(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_160055,c_119169]) ).
tcf(c_164479,plain,
( ~ r1_tarski(iPr_def_18,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_125947]) ).
tcf(c_164484,plain,
( ~ r1_tarski(iPr_def_18,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_126913]) ).
tcf(c_164485,plain,
( ~ r1_tarski(iPr_def_18,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_127040]) ).
tcf(c_164486,plain,
( ~ r1_tarski(iPr_def_18,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_127267]) ).
tcf(c_164487,plain,
( ~ r1_tarski(iPr_def_18,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_127375]) ).
tcf(c_164489,plain,
( ~ r1_tarski(iPr_def_18,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_128180]) ).
tcf(c_164490,plain,
( ~ r1_tarski(iPr_def_18,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_131210]) ).
tcf(c_164491,plain,
( ~ r1_tarski(iPr_def_18,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_131277]) ).
tcf(c_164492,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,sK12(X0))
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_142563]) ).
tcf(c_164495,plain,
( ~ r1_tarski(iPr_def_18,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_131706]) ).
tcf(c_164496,plain,
( ~ r1_tarski(iPr_def_18,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_131771]) ).
tcf(c_164497,plain,
( ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_134036]) ).
tcf(c_164500,plain,
( ~ r1_tarski(iPr_def_18,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_137793]) ).
tcf(c_164504,plain,
( ~ r1_tarski(iPr_def_18,k1_tarski(k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_154067]) ).
tcf(c_164565,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_18,k2_tex_4(sK3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164467,c_159671]) ).
tcf(c_164573,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) )
| ~ r1_tarski(iPr_def_18,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_164465,c_159973,c_159974]) ).
tcf(c_164717,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_18,X1)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114895,c_1179]) ).
tcf(c_164718,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| m1_subset_1(sK5(sK3,X0),X1)
| ~ r1_tarski(iPr_def_18,X1)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114895,c_1178]) ).
tcf(c_164719,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,sK3)
| r2_hidden(sK5(sK3,X0),X1)
| ~ r1_tarski(iPr_def_18,X1)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114895,c_152]) ).
tcf(c_164720,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r2_hidden(iPr_def_18,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114895,c_61]) ).
tcf(c_164723,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK5(sK3,X0))) = k1_struct_0(sK3,sK5(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114895,c_8259]) ).
tcf(c_164724,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114895,c_8246]) ).
tcf(c_164740,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK5(sK3,X0))) = k1_struct_0(sK2,sK5(sK3,X0)) )
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164724,c_116663,c_8268]) ).
tcf(c_164744,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK5(sK3,X0))) = k1_struct_0(sK3,sK5(sK3,X0)) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164723,c_119983]) ).
tcf(c_164778,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_164393,c_1178]) ).
tcf(c_164779,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_164393,c_152]) ).
tcf(c_164783,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_164393,c_8259]) ).
tcf(c_164784,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_164393,c_8246]) ).
tcf(c_164827,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164394,c_117091]) ).
tcf(c_164837,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_161408,c_117091]) ).
tcf(c_164853,plain,
( ( sK12(k1_zfmisc_1(sK25(sK2))) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164040,c_143353]) ).
tcf(c_164854,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164040,c_306]) ).
tcf(c_164855,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164040,c_304]) ).
tcf(c_164872,plain,
( ( sK12(k1_zfmisc_1(sK19(sK2))) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164044,c_143353]) ).
tcf(c_164873,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164044,c_306]) ).
tcf(c_164874,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164044,c_304]) ).
tcf(c_165074,plain,
( ( sK12(k1_zfmisc_1(sK17(sK2))) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164048,c_143353]) ).
tcf(c_165075,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164048,c_306]) ).
tcf(c_165076,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164048,c_304]) ).
tcf(c_165093,plain,
( ( sK12(k1_zfmisc_1(sK25(sK2))) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164052,c_143353]) ).
tcf(c_165094,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164052,c_306]) ).
tcf(c_165095,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164052,c_304]) ).
tcf(c_165112,plain,
( ( sK12(k1_zfmisc_1(sK19(sK2))) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164056,c_143353]) ).
tcf(c_165113,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164056,c_306]) ).
tcf(c_165114,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164056,c_304]) ).
tcf(c_165131,plain,
( ( sK12(k1_zfmisc_1(sK17(sK2))) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164060,c_143353]) ).
tcf(c_165132,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164060,c_306]) ).
tcf(c_165133,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164060,c_304]) ).
tcf(c_165150,plain,
( ( sK12(k1_zfmisc_1(sK25(sK2))) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164070,c_143353]) ).
tcf(c_165151,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164070,c_306]) ).
tcf(c_165152,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164070,c_304]) ).
tcf(c_165169,plain,
( ( sK12(k1_zfmisc_1(sK19(sK2))) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164074,c_143353]) ).
tcf(c_165170,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164074,c_306]) ).
tcf(c_165171,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164074,c_304]) ).
tcf(c_165187,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_164779,c_1178]) ).
tcf(c_165188,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_164779,c_152]) ).
tcf(c_165189,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_61]) ).
tcf(c_165192,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_164779,c_8259]) ).
tcf(c_165193,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_164779,c_8246]) ).
tcf(c_165194,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18) ),
inference(superposition,[status(thm)],[c_164779,c_8258]) ).
tcf(c_165195,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164779,c_8245]) ).
tcf(c_165196,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_164779,c_114471]) ).
tcf(c_165197,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_164779,c_114472]) ).
tcf(c_165198,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_19,sK6(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)) ),
inference(superposition,[status(thm)],[c_164779,c_114497]) ).
tcf(c_165199,plain,
( ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_149729]) ).
tcf(c_165201,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_115529]) ).
tcf(c_165202,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_128064]) ).
tcf(c_165204,plain,
( v1_xboole_0(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(iPr_def_19,sK12(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_164779,c_119169]) ).
tcf(c_165205,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_125883]) ).
tcf(c_165208,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_126685]) ).
tcf(c_165209,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_126762]) ).
tcf(c_165210,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_126825]) ).
tcf(c_165214,plain,
( ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_127375]) ).
tcf(c_165215,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_127835]) ).
tcf(c_165216,plain,
( ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_128180]) ).
tcf(c_165217,plain,
( ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_131210]) ).
tcf(c_165218,plain,
( ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_131277]) ).
tcf(c_165219,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_142563]) ).
tcf(c_165220,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_131380]) ).
tcf(c_165221,plain,
( ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_131637]) ).
tcf(c_165225,plain,
( ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_135483]) ).
tcf(c_165226,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_137610]) ).
tcf(c_165229,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164779,c_151171]) ).
tcf(c_165267,plain,
~ r1_tarski(iPr_def_19,sK12(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))),
inference(forward_subsumption_resolution,[status(thm)],[c_165204,c_191]) ).
tcf(c_165284,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165196,c_164392]) ).
tcf(c_165399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| ~ v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115273,c_1179]) ).
tcf(c_165400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| m1_subset_1(sK6(X0,X3),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115273,c_1178]) ).
tcf(c_165401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X3)
| r2_hidden(sK6(X0,X3),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115273,c_152]) ).
tcf(c_165402,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,sK6(X1,X2)) ),
inference(superposition,[status(thm)],[c_115273,c_61]) ).
tcf(c_165405,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ( k5_subset_1(iPr_def_18,X1,k4_tex_4(sK3,sK6(X0,X2))) = k1_struct_0(sK3,sK6(X0,X2)) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115273,c_8259]) ).
tcf(c_165406,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ( k5_subset_1(iPr_def_20,X1,k4_tex_4(sK2,sK6(X0,X2))) = k1_struct_0(sK2,sK6(X0,X2)) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_115273,c_8246]) ).
tcf(c_165408,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ( k2_tex_4(sK3,sK6(X0,X1)) = k2_tex_4(sK3,X2) )
| ~ m1_subset_1(X2,iPr_def_18)
| ~ r1_tarski(X0,k2_tex_4(sK3,X2))
| ~ m1_subset_1(sK6(X0,X1),iPr_def_18) ),
inference(superposition,[status(thm)],[c_115273,c_8258]) ).
tcf(c_165409,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| ( k2_tex_4(sK2,sK6(X0,X1)) = k2_tex_4(sK2,X2) )
| ~ m1_subset_1(X2,iPr_def_20)
| ~ r1_tarski(X0,k2_tex_4(sK2,X2))
| ~ m1_subset_1(sK6(X0,X1),iPr_def_20) ),
inference(superposition,[status(thm)],[c_115273,c_8245]) ).
tcf(c_165410,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK3)
| ~ m1_subset_1(sK6(X0,X1),iPr_def_19)
| ~ r1_tarski(X0,sK5(sK3,sK6(X0,X1))) ),
inference(superposition,[status(thm)],[c_115273,c_114471]) ).
tcf(c_165411,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK2)
| ~ m1_subset_1(sK6(X0,X1),iPr_def_21)
| ~ r1_tarski(X0,sK5(sK2,sK6(X0,X1))) ),
inference(superposition,[status(thm)],[c_115273,c_114472]) ).
tcf(c_165412,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK6(X0,X1),X2)
| ~ r1_tarski(X0,sK6(sK6(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_115273,c_114497]) ).
tcf(c_165413,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(iPr_def_21,sK6(X0,X1))
| ~ r1_tarski(X0,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115273,c_149729]) ).
tcf(c_165414,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(iPr_def_19,sK6(X0,X1))
| ~ r1_tarski(X0,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_115273,c_149891]) ).
tcf(c_165415,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(X1,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(X1,X2)) ),
inference(superposition,[status(thm)],[c_115273,c_115529]) ).
tcf(c_165416,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_128064]) ).
tcf(c_165417,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_127905]) ).
tcf(c_165418,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_xboole_0(sK6(X0,X1))
| ~ r1_tarski(X0,sK12(sK6(X0,X1))) ),
inference(superposition,[status(thm)],[c_115273,c_119169]) ).
tcf(c_165419,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_125883]) ).
tcf(c_165420,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_125947]) ).
tcf(c_165422,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_126685]) ).
tcf(c_165423,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_126762]) ).
tcf(c_165424,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_126825]) ).
tcf(c_165425,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_126913]) ).
tcf(c_165426,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_127040]) ).
tcf(c_165427,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_127267]) ).
tcf(c_165428,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_127375]) ).
tcf(c_165429,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_127835]) ).
tcf(c_165430,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_128180]) ).
tcf(c_165431,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_131210]) ).
tcf(c_165432,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_131277]) ).
tcf(c_165433,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r1_tarski(X1,X2)
| ~ r1_tarski(X1,sK12(X0))
| ~ r1_tarski(X0,sK6(X1,X2)) ),
inference(superposition,[status(thm)],[c_115273,c_142563]) ).
tcf(c_165434,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(sK10(sK2)))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_131380]) ).
tcf(c_165435,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(sK14(sK2)))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_131637]) ).
tcf(c_165436,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_131706]) ).
tcf(c_165437,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_131771]) ).
tcf(c_165438,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_134036]) ).
tcf(c_165439,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_tex_4(sK2,iPr_def_30))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_135483]) ).
tcf(c_165440,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_137610]) ).
tcf(c_165441,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_137793]) ).
tcf(c_165442,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_144958]) ).
tcf(c_165443,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(iPr_def_18,sK6(X0,X1))
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_115273,c_151171]) ).
tcf(c_165444,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(iPr_def_21,sK6(X0,X1))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_115273,c_156248]) ).
tcf(c_165445,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(iPr_def_19,sK6(X0,X1))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_115273,c_154067]) ).
tcf(c_165749,plain,
( v1_tsp_1(sK22(sK2),sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(superposition,[status(thm)],[c_119514,c_116277]) ).
tcf(c_165750,plain,
( v1_tsp_1(sK22(sK3),sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK3) ),
inference(superposition,[status(thm)],[c_124648,c_116277]) ).
tcf(c_165751,plain,
( v1_tsp_1(sK22(sK8),sK8)
| ~ l1_pre_topc(sK8)
| ~ v1_tsp_2(k1_xboole_0,sK8) ),
inference(superposition,[status(thm)],[c_124647,c_116277]) ).
tcf(c_165752,plain,
( v1_tsp_1(sK22(sK10(sK2)),sK10(sK2))
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK2)) ),
inference(superposition,[status(thm)],[c_132748,c_116277]) ).
tcf(c_165753,plain,
( v1_tsp_1(sK22(sK14(sK2)),sK14(sK2))
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK2)) ),
inference(superposition,[status(thm)],[c_132692,c_116277]) ).
tcf(c_165754,plain,
( v1_tsp_1(sK22(sK14(sK8)),sK14(sK8))
| ~ l1_pre_topc(sK14(sK8))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK8)) ),
inference(superposition,[status(thm)],[c_132693,c_116277]) ).
tcf(c_165755,plain,
( v1_tsp_1(sK22(sK14(sK3)),sK14(sK3))
| ~ l1_pre_topc(sK14(sK3))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK3)) ),
inference(superposition,[status(thm)],[c_132694,c_116277]) ).
tcf(c_165756,plain,
( v1_tsp_1(sK22(sK14(sK10(sK2))),sK14(sK10(sK2)))
| ~ l1_pre_topc(sK14(sK10(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146318,c_116277]) ).
tcf(c_165757,plain,
( v1_tsp_1(sK22(sK14(sK14(sK2))),sK14(sK14(sK2)))
| ~ l1_pre_topc(sK14(sK14(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146222,c_116277]) ).
tcf(c_165758,plain,
( v1_tsp_1(sK22(sK10(sK8)),sK10(sK8))
| ~ l1_pre_topc(sK10(sK8))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK8)) ),
inference(superposition,[status(thm)],[c_132749,c_116277]) ).
tcf(c_165759,plain,
( v1_tsp_1(sK22(sK10(sK3)),sK10(sK3))
| ~ l1_pre_topc(sK10(sK3))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK3)) ),
inference(superposition,[status(thm)],[c_132750,c_116277]) ).
tcf(c_165760,plain,
( v1_tsp_1(sK22(sK10(sK10(sK2))),sK10(sK10(sK2)))
| ~ l1_pre_topc(sK10(sK10(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_146544,c_116277]) ).
tcf(c_165761,plain,
( v1_tsp_1(sK22(sK10(sK14(sK2))),sK10(sK14(sK2)))
| ~ l1_pre_topc(sK10(sK14(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_146451,c_116277]) ).
tcf(c_165762,plain,
( v1_tsp_1(sK22(sK14(sK14(sK8))),sK14(sK14(sK8)))
| ~ l1_pre_topc(sK14(sK14(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146223,c_116277]) ).
tcf(c_165763,plain,
( v1_tsp_1(sK22(sK14(sK14(sK3))),sK14(sK14(sK3)))
| ~ l1_pre_topc(sK14(sK14(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146224,c_116277]) ).
tcf(c_165764,plain,
( v1_tsp_1(sK22(sK14(sK14(sK10(sK2)))),sK14(sK14(sK10(sK2))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158265,c_116277]) ).
tcf(c_165765,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK2)))),sK14(sK14(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_157936,c_116277]) ).
tcf(c_165766,plain,
( v1_tsp_1(sK22(sK14(sK10(sK8))),sK14(sK10(sK8)))
| ~ l1_pre_topc(sK14(sK10(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146319,c_116277]) ).
tcf(c_165767,plain,
( v1_tsp_1(sK22(sK14(sK10(sK3))),sK14(sK10(sK3)))
| ~ l1_pre_topc(sK14(sK10(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146320,c_116277]) ).
tcf(c_165768,plain,
( v1_tsp_1(sK22(sK14(sK10(sK10(sK2)))),sK14(sK10(sK10(sK2))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158601,c_116277]) ).
tcf(c_165769,plain,
( v1_tsp_1(sK22(sK14(sK10(sK14(sK2)))),sK14(sK10(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158516,c_116277]) ).
tcf(c_165770,plain,
( v1_tsp_1(sK22(sK10(sK14(sK8))),sK10(sK14(sK8)))
| ~ l1_pre_topc(sK10(sK14(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_146452,c_116277]) ).
tcf(c_165771,plain,
( v1_tsp_1(sK22(sK10(sK14(sK3))),sK10(sK14(sK3)))
| ~ l1_pre_topc(sK10(sK14(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_146453,c_116277]) ).
tcf(c_165772,plain,
( v1_tsp_1(sK22(sK10(sK14(sK10(sK2)))),sK10(sK14(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_158880,c_116277]) ).
tcf(c_165773,plain,
( v1_tsp_1(sK22(sK10(sK14(sK14(sK2)))),sK10(sK14(sK14(sK2))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158739,c_116277]) ).
tcf(c_165774,plain,
( v1_tsp_1(sK22(sK10(sK10(sK8))),sK10(sK10(sK8)))
| ~ l1_pre_topc(sK10(sK10(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_146545,c_116277]) ).
tcf(c_165775,plain,
( v1_tsp_1(sK22(sK10(sK10(sK3))),sK10(sK10(sK3)))
| ~ l1_pre_topc(sK10(sK10(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_146546,c_116277]) ).
tcf(c_165776,plain,
( v1_tsp_1(sK22(sK10(sK10(sK10(sK2)))),sK10(sK10(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK10(sK2)))) ),
inference(superposition,[status(thm)],[c_160031,c_116277]) ).
tcf(c_165777,plain,
( v1_tsp_1(sK22(sK10(sK10(sK14(sK2)))),sK10(sK10(sK14(sK2))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK14(sK2)))) ),
inference(superposition,[status(thm)],[c_158974,c_116277]) ).
tcf(c_165778,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK8)))),sK14(sK14(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_157937,c_116277]) ).
tcf(c_165779,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK3)))),sK14(sK14(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_157938,c_116277]) ).
tcf(c_165780,plain,
( v1_tsp_1(sK22(sK14(sK14(sK10(sK8)))),sK14(sK14(sK10(sK8))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158266,c_116277]) ).
tcf(c_165781,plain,
( v1_tsp_1(sK22(sK14(sK14(sK10(sK3)))),sK14(sK14(sK10(sK3))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158267,c_116277]) ).
tcf(c_165782,plain,
( v1_tsp_1(sK22(sK14(sK10(sK14(sK8)))),sK14(sK10(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158517,c_116277]) ).
tcf(c_165783,plain,
( v1_tsp_1(sK22(sK14(sK10(sK14(sK3)))),sK14(sK10(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158518,c_116277]) ).
tcf(c_165784,plain,
( v1_tsp_1(sK22(sK14(sK10(sK10(sK8)))),sK14(sK10(sK10(sK8))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158602,c_116277]) ).
tcf(c_165785,plain,
( v1_tsp_1(sK22(sK14(sK10(sK10(sK3)))),sK14(sK10(sK10(sK3))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158603,c_116277]) ).
tcf(c_165786,plain,
( v1_tsp_1(sK22(sK10(sK14(sK14(sK8)))),sK10(sK14(sK14(sK8))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158740,c_116277]) ).
tcf(c_165787,plain,
( v1_tsp_1(sK22(sK10(sK14(sK14(sK3)))),sK10(sK14(sK14(sK3))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158741,c_116277]) ).
tcf(c_165788,plain,
( v1_tsp_1(sK22(sK10(sK14(sK10(sK8)))),sK10(sK14(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_158881,c_116277]) ).
tcf(c_165789,plain,
( v1_tsp_1(sK22(sK10(sK14(sK10(sK3)))),sK10(sK14(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_158882,c_116277]) ).
tcf(c_165790,plain,
( v1_tsp_1(sK22(sK10(sK10(sK14(sK8)))),sK10(sK10(sK14(sK8))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK14(sK8)))) ),
inference(superposition,[status(thm)],[c_158975,c_116277]) ).
tcf(c_165791,plain,
( v1_tsp_1(sK22(sK10(sK10(sK14(sK3)))),sK10(sK10(sK14(sK3))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK14(sK3)))) ),
inference(superposition,[status(thm)],[c_158976,c_116277]) ).
tcf(c_165792,plain,
( v1_tsp_1(sK22(sK10(sK10(sK10(sK8)))),sK10(sK10(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK10(sK8)))) ),
inference(superposition,[status(thm)],[c_160032,c_116277]) ).
tcf(c_165793,plain,
( v1_tsp_1(sK22(sK10(sK10(sK10(sK3)))),sK10(sK10(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK10(sK3)))) ),
inference(superposition,[status(thm)],[c_160033,c_116277]) ).
tcf(c_165794,plain,
( v1_tsp_1(k1_xboole_0,sK8)
| ~ l1_pre_topc(sK8)
| ~ v1_tsp_2(k1_xboole_0,sK8) ),
inference(light_normalisation,[status(thm)],[c_165751,c_124647]) ).
tcf(c_165795,plain,
( v1_tsp_1(k1_xboole_0,sK8)
| ~ v1_tsp_2(k1_xboole_0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165794,c_169]) ).
tcf(c_165798,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK3) ),
inference(light_normalisation,[status(thm)],[c_165750,c_124648]) ).
tcf(c_165799,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(light_normalisation,[status(thm)],[c_165749,c_119514]) ).
tcf(c_165800,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK3))
| ~ l1_pre_topc(sK10(sK3))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK3)) ),
inference(light_normalisation,[status(thm)],[c_165759,c_132750]) ).
tcf(c_165804,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK8))
| ~ l1_pre_topc(sK10(sK8))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK8)) ),
inference(light_normalisation,[status(thm)],[c_165758,c_132749]) ).
tcf(c_165808,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK3))
| ~ l1_pre_topc(sK14(sK3))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK3)) ),
inference(light_normalisation,[status(thm)],[c_165755,c_132694]) ).
tcf(c_165812,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK8))
| ~ l1_pre_topc(sK14(sK8))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK8)) ),
inference(light_normalisation,[status(thm)],[c_165754,c_132693]) ).
tcf(c_165816,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK2))
| ~ l1_pre_topc(sK14(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK2)) ),
inference(light_normalisation,[status(thm)],[c_165753,c_132692]) ).
tcf(c_165820,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK2))
| ~ l1_pre_topc(sK10(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK2)) ),
inference(light_normalisation,[status(thm)],[c_165752,c_132748]) ).
tcf(c_165824,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK3)))
| ~ l1_pre_topc(sK10(sK10(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_165775,c_146546]) ).
tcf(c_165828,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK8)))
| ~ l1_pre_topc(sK10(sK10(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK8))) ),
inference(light_normalisation,[status(thm)],[c_165774,c_146545]) ).
tcf(c_165832,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK3)))
| ~ l1_pre_topc(sK10(sK14(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_165771,c_146453]) ).
tcf(c_165836,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK8)))
| ~ l1_pre_topc(sK10(sK14(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK8))) ),
inference(light_normalisation,[status(thm)],[c_165770,c_146452]) ).
tcf(c_165840,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK3)))
| ~ l1_pre_topc(sK14(sK10(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_165767,c_146320]) ).
tcf(c_165844,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK8)))
| ~ l1_pre_topc(sK14(sK10(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK8))) ),
inference(light_normalisation,[status(thm)],[c_165766,c_146319]) ).
tcf(c_165848,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK3)))
| ~ l1_pre_topc(sK14(sK14(sK3)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_165763,c_146224]) ).
tcf(c_165852,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK8)))
| ~ l1_pre_topc(sK14(sK14(sK8)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK8))) ),
inference(light_normalisation,[status(thm)],[c_165762,c_146223]) ).
tcf(c_165856,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK2)))
| ~ l1_pre_topc(sK10(sK14(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_165761,c_146451]) ).
tcf(c_165860,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK2)))
| ~ l1_pre_topc(sK10(sK10(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_165760,c_146544]) ).
tcf(c_165864,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK2)))
| ~ l1_pre_topc(sK14(sK14(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_165757,c_146222]) ).
tcf(c_165868,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK2)))
| ~ l1_pre_topc(sK14(sK10(sK2)))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_165756,c_146318]) ).
tcf(c_165872,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK10(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165793,c_160033]) ).
tcf(c_165876,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK10(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165792,c_160032]) ).
tcf(c_165880,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK14(sK3))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK14(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165791,c_158976]) ).
tcf(c_165884,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK14(sK8))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK14(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165790,c_158975]) ).
tcf(c_165888,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK10(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165789,c_158882]) ).
tcf(c_165892,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK10(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165788,c_158881]) ).
tcf(c_165896,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK14(sK3))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK14(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165787,c_158741]) ).
tcf(c_165900,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK14(sK8))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK14(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165786,c_158740]) ).
tcf(c_165904,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK10(sK3))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK10(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165785,c_158603]) ).
tcf(c_165908,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK10(sK8))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK10(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165784,c_158602]) ).
tcf(c_165912,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK14(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165783,c_158518]) ).
tcf(c_165916,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK14(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165782,c_158517]) ).
tcf(c_165920,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK10(sK3))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK10(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165781,c_158267]) ).
tcf(c_165924,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK10(sK8))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK10(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165780,c_158266]) ).
tcf(c_165928,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK3))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK3)))) ),
inference(light_normalisation,[status(thm)],[c_165779,c_157938]) ).
tcf(c_165932,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK8))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK8)))) ),
inference(light_normalisation,[status(thm)],[c_165778,c_157937]) ).
tcf(c_165936,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK14(sK2))))
| ~ l1_pre_topc(sK10(sK10(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK14(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165777,c_158974]) ).
tcf(c_165940,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK10(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK10(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK10(sK10(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165776,c_160031]) ).
tcf(c_165944,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK14(sK2))))
| ~ l1_pre_topc(sK10(sK14(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK14(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165773,c_158739]) ).
tcf(c_165948,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK14(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK14(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK14(sK10(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165772,c_158880]) ).
tcf(c_165952,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK10(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK14(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165769,c_158516]) ).
tcf(c_165956,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK10(sK10(sK2))))
| ~ l1_pre_topc(sK14(sK10(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK10(sK10(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165768,c_158601]) ).
tcf(c_165960,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165765,c_157936]) ).
tcf(c_165964,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK10(sK2))))
| ~ l1_pre_topc(sK14(sK14(sK10(sK2))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK10(sK2)))) ),
inference(light_normalisation,[status(thm)],[c_165764,c_158265]) ).
tcf(c_166151,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X1)),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_163380,c_1178]) ).
tcf(c_166152,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X1)),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_163380,c_152]) ).
tcf(c_166156,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK12(k1_zfmisc_1(X0)))) = k1_struct_0(sK3,sK12(k1_zfmisc_1(X0))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_163380,c_8259]) ).
tcf(c_166157,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK12(k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK12(k1_zfmisc_1(X0))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_163380,c_8246]) ).
tcf(c_166272,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(k1_zfmisc_1(X0)))) = k2_tex_4(sK3,sK5(sK3,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163381,c_116042]) ).
tcf(c_166273,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(k1_zfmisc_1(X0)))) = k1_tarski(sK5(sK3,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163381,c_115769]) ).
tcf(c_166274,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),iPr_def_18)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163381,c_114678]) ).
tcf(c_166275,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK3)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK3) ),
inference(superposition,[status(thm)],[c_163381,c_116308]) ).
tcf(c_166287,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_165816,c_60,c_4138,c_61666]) ).
tcf(c_166293,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_165820,c_60,c_4162,c_61670]) ).
tcf(c_166299,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),
inference(light_normalisation,[status(thm)],[c_150304,c_151414,c_151418]) ).
tcf(c_166304,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK13(X0,X1),X2)
| ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_114498,c_117706]) ).
tcf(c_166306,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| r2_hidden(sK13(X0,X1),sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_117706]) ).
tcf(c_166307,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK3)
| r2_hidden(sK13(X0,X1),sK7(sK3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_117706]) ).
tcf(c_166308,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_28),X0) ),
inference(superposition,[status(thm)],[c_8234,c_117706]) ).
tcf(c_166328,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK11(X0,X1),X2)
| ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_114498,c_118013]) ).
tcf(c_166330,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| r2_hidden(sK11(X0,X1),sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_118013]) ).
tcf(c_166331,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK3)
| r2_hidden(sK11(X0,X1),sK7(sK3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_118013]) ).
tcf(c_166332,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_28),X0) ),
inference(superposition,[status(thm)],[c_8234,c_118013]) ).
tcf(c_166357,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X1)),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_163383,c_1178]) ).
tcf(c_166358,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X1)),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_163383,c_152]) ).
tcf(c_166362,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK12(k1_zfmisc_1(X0)))) = k1_struct_0(sK3,sK12(k1_zfmisc_1(X0))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_163383,c_8259]) ).
tcf(c_166363,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK12(k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK12(k1_zfmisc_1(X0))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_163383,c_8246]) ).
tcf(c_166387,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(k1_zfmisc_1(X0)))) = k1_funct_1(sK4,sK5(sK2,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163384,c_116416]) ).
tcf(c_166388,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))) = k2_tex_4(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163384,c_116010]) ).
tcf(c_166389,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),iPr_def_20)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163384,c_114679]) ).
tcf(c_166390,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))) = k1_tarski(sK5(sK2,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163384,c_115716]) ).
tcf(c_166391,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2) ),
inference(superposition,[status(thm)],[c_163384,c_116313]) ).
tcf(c_166392,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))))) = k2_tex_4(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))),k4_tex_4(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0))))) = k1_struct_0(sK2,sK5(sK2,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163384,c_114117]) ).
tcf(c_166420,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X1)),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_163386,c_1178]) ).
tcf(c_166421,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X1)),X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_163386,c_152]) ).
tcf(c_166425,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,iPr_def_29,k4_tex_4(sK3,sK12(k1_zfmisc_1(X0)))) = k1_struct_0(sK3,sK12(k1_zfmisc_1(X0))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_163386,c_8259]) ).
tcf(c_166426,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_29,k4_tex_4(sK2,sK12(k1_zfmisc_1(X0)))) = k1_struct_0(sK2,sK12(k1_zfmisc_1(X0))) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_163386,c_8246]) ).
tcf(c_166450,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),iPr_def_28)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_163387,c_114680]) ).
tcf(c_166453,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166391,c_110281]) ).
tcf(c_166463,plain,
! [X0: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ( k5_subset_1(iPr_def_20,sK12(k1_zfmisc_1(X0)),k4_tex_4(sK2,sK12(sK12(k1_zfmisc_1(X0))))) = k1_struct_0(sK2,sK12(sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166453,c_119173]) ).
tcf(c_166466,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),X1)
| ( k5_subset_1(iPr_def_20,sK12(k1_zfmisc_1(X0)),k4_tex_4(sK2,sK6(sK12(k1_zfmisc_1(X0)),X1))) = k1_struct_0(sK2,sK6(sK12(k1_zfmisc_1(X0)),X1)) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166453,c_114501]) ).
tcf(c_166467,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK3)
| ( k5_subset_1(iPr_def_20,sK12(k1_zfmisc_1(X0)),k4_tex_4(sK2,sK5(sK3,sK12(k1_zfmisc_1(X0))))) = k1_struct_0(sK2,sK5(sK3,sK12(k1_zfmisc_1(X0)))) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_166453,c_113891]) ).
tcf(c_166535,plain,
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(iPr_def_20,iPr_def_18)),sK2)
| r2_hidden(sK13(iPr_def_20,iPr_def_18),sK7(sK2,k1_zfmisc_1(iPr_def_28)))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(iPr_def_20,iPr_def_18)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(iPr_def_20,iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8234,c_166306]) ).
tcf(c_166536,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_xboole_0(X2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_166306,c_1179]) ).
tcf(c_166537,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK13(X0,X1),X2)
| v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_166306,c_1178]) ).
tcf(c_166538,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK13(X0,X1),X2)
| v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_166306,c_152]) ).
tcf(c_166539,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_166306,c_61]) ).
tcf(c_166540,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_166306,c_305]) ).
tcf(c_166541,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| m1_subset_1(sK13(X0,X1),sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166306,c_292]) ).
tcf(c_166542,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k4_tex_4(sK3,sK13(X0,X1))) = k1_struct_0(sK3,sK13(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_166306,c_8259]) ).
tcf(c_166543,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k4_tex_4(sK2,sK13(X0,X1))) = k1_struct_0(sK2,sK13(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166306,c_8246]) ).
tcf(c_166548,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK13(iPr_def_20,iPr_def_18),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_166535,c_8234,c_8235]) ).
tcf(c_166588,plain,
( r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151414,c_121723]) ).
tcf(c_166589,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151414,c_121683]) ).
tcf(c_166590,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151414,c_114878]) ).
tcf(c_166591,plain,
( v1_tsp_1(k1_struct_0(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_151414,c_116651]) ).
tcf(c_166592,plain,
( m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151414,c_114637]) ).
tcf(c_166601,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(light_normalisation,[status(thm)],[c_166591,c_151414]) ).
tcf(c_166650,plain,
( v1_tsp_2(iPr_def_20,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_20))
| r2_hidden(iPr_def_27,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(superposition,[status(thm)],[c_124080,c_299]) ).
tcf(c_166661,plain,
( v1_tsp_2(iPr_def_32,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_32))
| r2_hidden(iPr_def_27,sK7(sK2,iPr_def_32))
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(superposition,[status(thm)],[c_124422,c_299]) ).
tcf(c_166672,plain,
( v1_tsp_2(iPr_def_20,sK2)
| v1_xboole_0(sK7(sK2,iPr_def_20))
| r2_hidden(iPr_def_30,sK7(sK2,iPr_def_20))
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(superposition,[status(thm)],[c_124944,c_299]) ).
tcf(c_166683,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_114498,c_125047]) ).
tcf(c_166685,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| r2_hidden(X1,sK7(sK2,k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_125047]) ).
tcf(c_166686,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK3)
| r2_hidden(X1,sK7(sK3,k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK3)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_125047]) ).
tcf(c_166687,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8225,c_125047]) ).
tcf(c_166688,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8227,c_125047]) ).
tcf(c_166689,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r1_tarski(iPr_def_29,X1)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8235,c_125047]) ).
tcf(c_166732,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_19))
| ~ r1_tarski(X0,iPr_def_18)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_166685]) ).
tcf(c_166733,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_21))
| ~ r1_tarski(X0,iPr_def_20)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_166685]) ).
tcf(c_166734,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_29))
| ~ r1_tarski(X0,iPr_def_28)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_166685]) ).
tcf(c_166735,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X2,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_166685,c_1179]) ).
tcf(c_166736,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ r1_tarski(X2,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_166685,c_1178]) ).
tcf(c_166737,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X2,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ r1_tarski(X2,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_166685,c_152]) ).
tcf(c_166738,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_166685,c_61]) ).
tcf(c_166739,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_166685,c_305]) ).
tcf(c_166740,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| m1_subset_1(X1,sK7(sK2,k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166685,c_292]) ).
tcf(c_166741,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK3,X1)) = k1_struct_0(sK3,X1) )
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_166685,c_8259]) ).
tcf(c_166742,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,X1)) = k1_struct_0(sK2,X1) )
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166685,c_8246]) ).
tcf(c_166743,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X1),sK2)
| r1_tarski(X0,sK7(sK2,k1_zfmisc_1(X1)))
| ~ v1_tsp_1(k1_zfmisc_1(X1),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X1),iPr_def_21)
| ~ r1_tarski(sK6(X0,sK7(sK2,k1_zfmisc_1(X1))),X1) ),
inference(superposition,[status(thm)],[c_166685,c_150]) ).
tcf(c_166744,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK7(sK2,k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_166685,c_114474]) ).
tcf(c_166745,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_18)
| ~ r1_tarski(k2_tex_4(sK3,sK7(sK2,k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_166685,c_114475]) ).
tcf(c_166746,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(X0)),X1) ),
inference(superposition,[status(thm)],[c_166685,c_125048]) ).
tcf(c_166747,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(light_normalisation,[status(thm)],[c_166734,c_8235]) ).
tcf(c_166753,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_166733,c_8227]) ).
tcf(c_166759,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_166732,c_8225]) ).
tcf(c_166890,plain,
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(iPr_def_20,iPr_def_18)),sK2)
| r2_hidden(sK11(iPr_def_20,iPr_def_18),sK7(sK2,k1_zfmisc_1(iPr_def_28)))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(iPr_def_20,iPr_def_18)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(iPr_def_20,iPr_def_18)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8234,c_166330]) ).
tcf(c_166892,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(sK11(X0,X1),X2)
| v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_166330,c_1178]) ).
tcf(c_166893,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(sK11(X0,X1),X2)
| v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_166330,c_152]) ).
tcf(c_166894,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_166330,c_61]) ).
tcf(c_166896,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| m1_subset_1(sK11(X0,X1),sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166330,c_292]) ).
tcf(c_166897,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k4_tex_4(sK3,sK11(X0,X1))) = k1_struct_0(sK3,sK11(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_166330,c_8259]) ).
tcf(c_166898,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k4_tex_4(sK2,sK11(X0,X1))) = k1_struct_0(sK2,sK11(X0,X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166330,c_8246]) ).
tcf(c_166899,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK11(iPr_def_20,iPr_def_18),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_166890,c_8234,c_8235]) ).
tcf(c_166976,plain,
( ( sK12(k1_zfmisc_1(sK17(sK2))) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164078,c_143353]) ).
tcf(c_166977,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164078,c_306]) ).
tcf(c_166978,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164078,c_304]) ).
tcf(c_167087,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164082,c_143353]) ).
tcf(c_167088,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164082,c_306]) ).
tcf(c_167089,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164082,c_304]) ).
tcf(c_167106,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164086,c_143353]) ).
tcf(c_167107,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164086,c_306]) ).
tcf(c_167108,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164086,c_304]) ).
tcf(c_167125,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164090,c_143353]) ).
tcf(c_167126,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164090,c_306]) ).
tcf(c_167127,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164090,c_304]) ).
tcf(c_167144,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164094,c_143353]) ).
tcf(c_167145,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164094,c_306]) ).
tcf(c_167146,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164094,c_304]) ).
tcf(c_167157,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_164011,c_60909]) ).
tcf(c_167169,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK12(k1_zfmisc_1(sK7(sK2,X0))) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_143353]) ).
tcf(c_167170,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_306]) ).
tcf(c_167171,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_304]) ).
tcf(c_167172,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,X0)),k4_tex_4(sK2,sK12(sK7(sK2,k4_tex_4(sK2,X0))))) = k1_struct_0(sK2,sK12(sK7(sK2,k4_tex_4(sK2,X0)))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_117874]) ).
tcf(c_167173,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_155887]) ).
tcf(c_167174,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_153720]) ).
tcf(c_167175,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_142867]) ).
tcf(c_167176,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_32),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_32)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_32))) )
| ~ v1_tsp_1(iPr_def_32,sK2)
| ~ m1_subset_1(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_117889]) ).
tcf(c_167177,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_21)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_21))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_122332]) ).
tcf(c_167178,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_19)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_19))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_122289]) ).
tcf(c_167179,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_29)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_29))) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_122391]) ).
tcf(c_167180,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_20),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_20)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_124079]) ).
tcf(c_167181,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,sK12(sK7(sK2,k1_zfmisc_1(X0))))) = k1_struct_0(sK2,sK12(sK7(sK2,k1_zfmisc_1(X0)))) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_127121]) ).
tcf(c_167182,plain,
( v1_tsp_2(iPr_def_20,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_20),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_20)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_20))) )
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167180,c_120337]) ).
tcf(c_167198,plain,
( v1_tsp_2(iPr_def_32,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_32),k4_tex_4(sK2,sK12(sK7(sK2,iPr_def_32)))) = k1_struct_0(sK2,sK12(sK7(sK2,iPr_def_32))) )
| ~ v1_tsp_1(iPr_def_32,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_167176,c_114462]) ).
tcf(c_167242,plain,
~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_166589,c_59464,c_91025]) ).
tcf(c_167253,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_166687]) ).
tcf(c_167254,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_166687]) ).
tcf(c_167255,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114667,c_166687]) ).
tcf(c_167257,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_147592,c_166687]) ).
tcf(c_167258,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138881,c_166687]) ).
tcf(c_167259,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_132626,c_166687]) ).
tcf(c_167260,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120927,c_166687]) ).
tcf(c_167261,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115010,c_166687]) ).
tcf(c_167262,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_147642,c_166687]) ).
tcf(c_167263,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_139038,c_166687]) ).
tcf(c_167264,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_132652,c_166687]) ).
tcf(c_167265,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120961,c_166687]) ).
tcf(c_167266,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115177,c_166687]) ).
tcf(c_167267,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_115617,c_166687]) ).
tcf(c_167268,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_147481,c_166687]) ).
tcf(c_167269,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_132263,c_166687]) ).
tcf(c_167270,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120813,c_166687]) ).
tcf(c_167271,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_115941,c_166687]) ).
tcf(c_167272,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_147507,c_166687]) ).
tcf(c_167273,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_132547,c_166687]) ).
tcf(c_167274,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120853,c_166687]) ).
tcf(c_167275,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_116130,c_166687]) ).
tcf(c_167276,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_147546,c_166687]) ).
tcf(c_167277,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_132573,c_166687]) ).
tcf(c_167278,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_120879,c_166687]) ).
tcf(c_167279,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_116149,c_166687]) ).
tcf(c_167280,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114612,c_166687]) ).
tcf(c_167281,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114607,c_166687]) ).
tcf(c_167282,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_18))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_166687]) ).
tcf(c_167283,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_18))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_18)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114602,c_166687]) ).
tcf(c_167292,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_19,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121402,c_166687]) ).
tcf(c_167299,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_150895,c_166687]) ).
tcf(c_167300,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_18),X1)
| r2_hidden(sK6(k1_zfmisc_1(iPr_def_18),X1),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_124673,c_166687]) ).
tcf(c_167301,plain,
! [X0: $i,X1: $i] :
( r1_tarski(iPr_def_19,X1)
| r2_hidden(sK6(iPr_def_19,X1),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_124687,c_166687]) ).
tcf(c_167303,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_140193,c_166687]) ).
tcf(c_167304,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_128571,c_166687]) ).
tcf(c_167306,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_129028,c_166687]) ).
tcf(c_167307,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_129208,c_166687]) ).
tcf(c_167308,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_129339,c_166687]) ).
tcf(c_167309,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_129925,c_166687]) ).
tcf(c_167310,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_130064,c_166687]) ).
tcf(c_167311,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_130319,c_166687]) ).
tcf(c_167312,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_130448,c_166687]) ).
tcf(c_167314,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_166687]) ).
tcf(c_167315,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_166687]) ).
tcf(c_167319,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_140640,c_166687]) ).
tcf(c_167322,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_145140,c_166687]) ).
tcf(c_167323,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_151380,c_166687]) ).
tcf(c_167357,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167322,c_8225]) ).
tcf(c_167361,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167319,c_8225]) ).
tcf(c_167365,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167315,c_8225]) ).
tcf(c_167369,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167314,c_8225]) ).
tcf(c_167373,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167303,c_8225]) ).
tcf(c_167378,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167263,c_8225]) ).
tcf(c_167382,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167258,c_8225]) ).
tcf(c_167386,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167323,c_8225]) ).
tcf(c_167390,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(light_normalisation,[status(thm)],[c_167299,c_8225]) ).
tcf(c_167728,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_20)) = k2_tex_4(sK3,X0) )
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_166688]) ).
tcf(c_167729,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_20)) = k2_tex_4(sK2,X0) )
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_166688]) ).
tcf(c_167730,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114667,c_166688]) ).
tcf(c_167732,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_147592,c_166688]) ).
tcf(c_167734,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_132626,c_166688]) ).
tcf(c_167735,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120927,c_166688]) ).
tcf(c_167736,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115010,c_166688]) ).
tcf(c_167737,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_147642,c_166688]) ).
tcf(c_167739,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_132652,c_166688]) ).
tcf(c_167740,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120961,c_166688]) ).
tcf(c_167741,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115177,c_166688]) ).
tcf(c_167742,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_115617,c_166688]) ).
tcf(c_167744,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_147481,c_166688]) ).
tcf(c_167745,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_132263,c_166688]) ).
tcf(c_167746,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120813,c_166688]) ).
tcf(c_167747,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_115941,c_166688]) ).
tcf(c_167748,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_147507,c_166688]) ).
tcf(c_167749,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_132547,c_166688]) ).
tcf(c_167750,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120853,c_166688]) ).
tcf(c_167751,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_116130,c_166688]) ).
tcf(c_167752,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_147546,c_166688]) ).
tcf(c_167753,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_132573,c_166688]) ).
tcf(c_167754,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_120879,c_166688]) ).
tcf(c_167755,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_20))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_116149,c_166688]) ).
tcf(c_167756,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_20))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_20)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114612,c_166688]) ).
tcf(c_167757,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_20))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_20)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114607,c_166688]) ).
tcf(c_167758,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_20))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_166688]) ).
tcf(c_167759,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_20))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_20)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114602,c_166688]) ).
tcf(c_167772,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_21,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121727,c_166688]) ).
tcf(c_167779,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_20),X1)
| r2_hidden(sK6(k1_zfmisc_1(iPr_def_20),X1),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_124673,c_166688]) ).
tcf(c_167780,plain,
! [X0: $i,X1: $i] :
( r1_tarski(iPr_def_21,X1)
| r2_hidden(sK6(iPr_def_21,X1),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_124679,c_166688]) ).
tcf(c_167783,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151014,c_166688]) ).
tcf(c_167784,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_128650,c_166688]) ).
tcf(c_167786,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_129415,c_166688]) ).
tcf(c_167787,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_129615,c_166688]) ).
tcf(c_167788,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_129751,c_166688]) ).
tcf(c_167789,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_129916,c_166688]) ).
tcf(c_167790,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_130232,c_166688]) ).
tcf(c_167791,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_130439,c_166688]) ).
tcf(c_167793,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_138461,c_166688]) ).
tcf(c_167794,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_138639,c_166688]) ).
tcf(c_167795,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139563,c_166688]) ).
tcf(c_167796,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139717,c_166688]) ).
tcf(c_167797,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_139941,c_166688]) ).
tcf(c_167799,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_140811,c_166688]) ).
tcf(c_167801,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_145140,c_166688]) ).
tcf(c_167802,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151380,c_166688]) ).
tcf(c_167834,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167801,c_8227]) ).
tcf(c_167838,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167799,c_8227]) ).
tcf(c_167842,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167797,c_8227]) ).
tcf(c_167846,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167796,c_8227]) ).
tcf(c_167850,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167795,c_8227]) ).
tcf(c_167854,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167794,c_8227]) ).
tcf(c_167858,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167793,c_8227]) ).
tcf(c_167863,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167802,c_8227]) ).
tcf(c_167867,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(light_normalisation,[status(thm)],[c_167783,c_8227]) ).
tcf(c_168217,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),iPr_def_28)) = k2_tex_4(sK3,X0) )
| ~ r1_tarski(iPr_def_29,X1)
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_166689]) ).
tcf(c_168218,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),iPr_def_28)) = k2_tex_4(sK2,X0) )
| ~ r1_tarski(iPr_def_29,X1)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_166689]) ).
tcf(c_168219,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(iPr_def_28)),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114667,c_166689]) ).
tcf(c_168221,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_147592,c_166689]) ).
tcf(c_168222,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_138881,c_166689]) ).
tcf(c_168223,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_132626,c_166689]) ).
tcf(c_168224,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_120927,c_166689]) ).
tcf(c_168225,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_115010,c_166689]) ).
tcf(c_168226,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_147642,c_166689]) ).
tcf(c_168227,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139038,c_166689]) ).
tcf(c_168228,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_132652,c_166689]) ).
tcf(c_168229,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_120961,c_166689]) ).
tcf(c_168230,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_115177,c_166689]) ).
tcf(c_168231,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_29,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_115617,c_166689]) ).
tcf(c_168232,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_147481,c_166689]) ).
tcf(c_168233,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_132263,c_166689]) ).
tcf(c_168234,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_120813,c_166689]) ).
tcf(c_168235,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK17(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_115941,c_166689]) ).
tcf(c_168236,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_147507,c_166689]) ).
tcf(c_168237,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_132547,c_166689]) ).
tcf(c_168238,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_120853,c_166689]) ).
tcf(c_168239,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK19(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_116130,c_166689]) ).
tcf(c_168240,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_147546,c_166689]) ).
tcf(c_168241,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_132573,c_166689]) ).
tcf(c_168242,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_120879,c_166689]) ).
tcf(c_168243,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),iPr_def_28))) = k1_struct_0(sK2,sK6(sK25(sK2),iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_116149,c_166689]) ).
tcf(c_168244,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_22,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114612,c_166689]) ).
tcf(c_168245,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_23,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114607,c_166689]) ).
tcf(c_168246,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),iPr_def_28))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_166689]) ).
tcf(c_168247,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,iPr_def_28))) = k1_struct_0(sK2,sK6(iPr_def_24,iPr_def_28)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_114602,c_166689]) ).
tcf(c_168251,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_150895,c_166689]) ).
tcf(c_168254,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r1_tarski(iPr_def_29,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_121839,c_166689]) ).
tcf(c_168255,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(iPr_def_28),X1)
| r2_hidden(sK6(k1_zfmisc_1(iPr_def_28),X1),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_124673,c_166689]) ).
tcf(c_168256,plain,
! [X0: $i,X1: $i] :
( r1_tarski(iPr_def_29,X1)
| r2_hidden(sK6(iPr_def_29,X1),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_124691,c_166689]) ).
tcf(c_168257,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140193,c_166689]) ).
tcf(c_168258,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_128575,c_166689]) ).
tcf(c_168259,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151014,c_166689]) ).
tcf(c_168260,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_128663,c_166689]) ).
tcf(c_168262,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_129032,c_166689]) ).
tcf(c_168263,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_129212,c_166689]) ).
tcf(c_168264,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_129343,c_166689]) ).
tcf(c_168265,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_129428,c_166689]) ).
tcf(c_168266,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_129628,c_166689]) ).
tcf(c_168267,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_129764,c_166689]) ).
tcf(c_168268,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_130068,c_166689]) ).
tcf(c_168269,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_130245,c_166689]) ).
tcf(c_168270,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_130323,c_166689]) ).
tcf(c_168273,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139563,c_166689]) ).
tcf(c_168274,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139717,c_166689]) ).
tcf(c_168275,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_139941,c_166689]) ).
tcf(c_168276,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140640,c_166689]) ).
tcf(c_168277,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_140811,c_166689]) ).
tcf(c_168278,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_145140,c_166689]) ).
tcf(c_168279,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151380,c_166689]) ).
tcf(c_168321,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168278,c_8235]) ).
tcf(c_168325,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168277,c_8235]) ).
tcf(c_168329,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168276,c_8235]) ).
tcf(c_168333,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168275,c_8235]) ).
tcf(c_168337,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168274,c_8235]) ).
tcf(c_168341,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168273,c_8235]) ).
tcf(c_168345,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168257,c_8235]) ).
tcf(c_168350,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168227,c_8235]) ).
tcf(c_168354,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168222,c_8235]) ).
tcf(c_168358,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168279,c_8235]) ).
tcf(c_168362,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168259,c_8235]) ).
tcf(c_168366,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(light_normalisation,[status(thm)],[c_168251,c_8235]) ).
tcf(c_168763,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_125882]) ).
tcf(c_168764,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_125882]) ).
tcf(c_168765,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_125882]) ).
tcf(c_168766,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_125882]) ).
tcf(c_168768,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_125882]) ).
tcf(c_168769,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_125882]) ).
tcf(c_168770,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_125882]) ).
tcf(c_168771,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_125882]) ).
tcf(c_168772,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_125882]) ).
tcf(c_168773,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_125882]) ).
tcf(c_168774,plain,
( r2_hidden(sK16(iPr_def_20),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_125882]) ).
tcf(c_168775,plain,
( r2_hidden(sK16(iPr_def_20),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_125882]) ).
tcf(c_168776,plain,
( r2_hidden(sK16(iPr_def_20),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_125882]) ).
tcf(c_168777,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_125882]) ).
tcf(c_168778,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_125882]) ).
tcf(c_168779,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_125882]) ).
tcf(c_168780,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_114677,c_125882]) ).
tcf(c_168791,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_125882]) ).
tcf(c_168792,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_125882]) ).
tcf(c_168805,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_20),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_125882]) ).
tcf(c_168806,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK16(iPr_def_20),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_125882]) ).
tcf(c_168807,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_125882]) ).
tcf(c_168808,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_125882]) ).
tcf(c_168809,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_20),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_125882]) ).
tcf(c_168810,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_125882]) ).
tcf(c_168811,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_125882]) ).
tcf(c_168813,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_125882]) ).
tcf(c_168814,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_125882]) ).
tcf(c_168815,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_125882]) ).
tcf(c_168816,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_125882]) ).
tcf(c_168817,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_125882]) ).
tcf(c_168818,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_125882]) ).
tcf(c_168820,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_125882]) ).
tcf(c_168821,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_125882]) ).
tcf(c_168822,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_125882]) ).
tcf(c_168823,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_125882]) ).
tcf(c_168824,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_125882]) ).
tcf(c_168825,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_125882]) ).
tcf(c_168826,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_125882]) ).
tcf(c_168827,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_125882]) ).
tcf(c_168828,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_125882]) ).
tcf(c_168829,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_125882]) ).
tcf(c_168831,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_125882]) ).
tcf(c_168832,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_125882]) ).
tcf(c_168833,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_125882]) ).
tcf(c_168834,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_125882]) ).
tcf(c_168835,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_125882]) ).
tcf(c_168836,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_125882]) ).
tcf(c_168838,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_125882]) ).
tcf(c_168841,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_125882]) ).
tcf(c_168845,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_125882]) ).
tcf(c_168846,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_125882]) ).
tcf(c_168847,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_125882]) ).
tcf(c_168848,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_125882]) ).
tcf(c_168849,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_125882]) ).
tcf(c_168851,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_21,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_125882]) ).
tcf(c_168852,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_125882]) ).
tcf(c_168853,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_125882]) ).
tcf(c_168854,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_125882]) ).
tcf(c_168855,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_125882]) ).
tcf(c_168860,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_125882]) ).
tcf(c_168861,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_125882]) ).
tcf(c_168862,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_125882]) ).
tcf(c_168871,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_125882]) ).
tcf(c_168872,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_125882]) ).
tcf(c_168873,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_125882]) ).
tcf(c_168874,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_125882]) ).
tcf(c_168875,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_125882]) ).
tcf(c_168876,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_125882]) ).
tcf(c_168877,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_125882]) ).
tcf(c_168878,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_125882]) ).
tcf(c_168881,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_125882]) ).
tcf(c_168882,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_125882]) ).
tcf(c_168885,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_125882]) ).
tcf(c_168886,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_125882]) ).
tcf(c_168888,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_125882]) ).
tcf(c_168889,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_125882]) ).
tcf(c_168890,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_125882]) ).
tcf(c_168891,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_125882]) ).
tcf(c_168892,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_125882]) ).
tcf(c_168893,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_125882]) ).
tcf(c_168895,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_125882]) ).
tcf(c_168897,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_125882]) ).
tcf(c_168898,plain,
( r2_hidden(sK16(iPr_def_20),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_125882]) ).
tcf(c_168901,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_125882]) ).
tcf(c_168904,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_125882]) ).
tcf(c_168905,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_20),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_125882]) ).
tcf(c_168906,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_125882]) ).
tcf(c_168907,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_125882]) ).
tcf(c_169467,plain,
~ r1_tarski(iPr_def_21,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_168780,c_219,c_11709,c_26209]) ).
tcf(c_169474,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168816,c_1179]) ).
tcf(c_169475,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168816,c_1178]) ).
tcf(c_169476,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168816,c_152]) ).
tcf(c_169477,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168816,c_61]) ).
tcf(c_169479,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_168816,c_292]) ).
tcf(c_169480,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168816,c_8259]) ).
tcf(c_169481,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168816,c_8246]) ).
tcf(c_169495,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169481,c_116663,c_8268]) ).
tcf(c_169498,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169480,c_119983]) ).
tcf(c_169569,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168817,c_1179]) ).
tcf(c_169570,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168817,c_1178]) ).
tcf(c_169571,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168817,c_152]) ).
tcf(c_169572,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168817,c_61]) ).
tcf(c_169574,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_168817,c_292]) ).
tcf(c_169575,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168817,c_8259]) ).
tcf(c_169576,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168817,c_8246]) ).
tcf(c_169590,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169576,c_116663,c_8268]) ).
tcf(c_169593,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169575,c_119983]) ).
tcf(c_169613,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168818,c_1179]) ).
tcf(c_169614,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168818,c_1178]) ).
tcf(c_169615,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168818,c_152]) ).
tcf(c_169616,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168818,c_61]) ).
tcf(c_169618,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_168818,c_292]) ).
tcf(c_169619,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168818,c_8259]) ).
tcf(c_169620,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168818,c_8246]) ).
tcf(c_169634,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169620,c_116663,c_8268]) ).
tcf(c_169637,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169619,c_119983]) ).
tcf(c_169685,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_168805,c_1179]) ).
tcf(c_169686,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK16(iPr_def_20),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_168805,c_1178]) ).
tcf(c_169687,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_20),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_168805,c_152]) ).
tcf(c_169688,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168805,c_61]) ).
tcf(c_169689,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_168805,c_305]) ).
tcf(c_169690,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK16(iPr_def_20),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168805,c_292]) ).
tcf(c_169691,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_168805,c_8259]) ).
tcf(c_169692,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_168805,c_8246]) ).
tcf(c_169830,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164103,c_143353]) ).
tcf(c_169831,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164103,c_306]) ).
tcf(c_169832,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164103,c_304]) ).
tcf(c_169849,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164107,c_143353]) ).
tcf(c_169850,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164107,c_306]) ).
tcf(c_169851,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164107,c_304]) ).
tcf(c_169870,plain,
( ( sK12(k1_zfmisc_1(sK25(sK2))) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164138,c_143353]) ).
tcf(c_169871,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164138,c_306]) ).
tcf(c_169872,plain,
( ( sK25(sK2) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_164138,c_304]) ).
tcf(c_169901,plain,
( ( sK12(k1_zfmisc_1(sK19(sK2))) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164143,c_143353]) ).
tcf(c_169902,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164143,c_306]) ).
tcf(c_169903,plain,
( ( sK19(sK2) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_164143,c_304]) ).
tcf(c_169926,plain,
( ( sK12(k1_zfmisc_1(sK17(sK2))) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164148,c_143353]) ).
tcf(c_169927,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164148,c_306]) ).
tcf(c_169928,plain,
( ( sK17(sK2) = k1_xboole_0 )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_164148,c_304]) ).
tcf(c_170084,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164153,c_143353]) ).
tcf(c_170085,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164153,c_306]) ).
tcf(c_170086,plain,
( ( u1_struct_0(sK14(sK2)) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164153,c_304]) ).
tcf(c_170109,plain,
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164158,c_143353]) ).
tcf(c_170110,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164158,c_306]) ).
tcf(c_170111,plain,
( ( u1_struct_0(sK10(sK2)) = k1_xboole_0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_164158,c_304]) ).
tcf(c_170126,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(global_subsumption_just,[status(thm)],[c_166590,c_59465,c_91025]) ).
tcf(c_170129,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_170126,c_1178]) ).
tcf(c_170130,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_170126,c_152]) ).
tcf(c_170133,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(superposition,[status(thm)],[c_170126,c_292]) ).
tcf(c_170134,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_170126,c_8259]) ).
tcf(c_170135,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170126,c_8246]) ).
tcf(c_170149,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_funct_1(sK4,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_170133,c_116416]) ).
tcf(c_170150,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_170133,c_116010]) ).
tcf(c_170151,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20),
inference(superposition,[status(thm)],[c_170133,c_114679]) ).
tcf(c_170152,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_170133,c_115716]) ).
tcf(c_170153,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_170133,c_116313]) ).
tcf(c_170154,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))))) = k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))),k4_tex_4(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))))) = k1_struct_0(sK2,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_170133,c_114117]) ).
tcf(c_170171,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_169479,c_116034]) ).
tcf(c_170172,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_169479,c_115761]) ).
tcf(c_170182,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_169574,c_116034]) ).
tcf(c_170183,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_169574,c_115761]) ).
tcf(c_170193,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_169618,c_116034]) ).
tcf(c_170194,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_169618,c_115761]) ).
tcf(c_170199,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_125882]) ).
tcf(c_170205,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_170151,c_117091]) ).
tcf(c_170212,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170205,c_120337,c_170133]) ).
tcf(c_170220,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168829,c_1179]) ).
tcf(c_170221,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168829,c_1178]) ).
tcf(c_170222,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168829,c_152]) ).
tcf(c_170223,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168829,c_61]) ).
tcf(c_170225,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_168829,c_292]) ).
tcf(c_170226,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168829,c_8259]) ).
tcf(c_170227,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168829,c_8246]) ).
tcf(c_170241,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170227,c_116663,c_8268]) ).
tcf(c_170244,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170226,c_119983]) ).
tcf(c_170252,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168831,c_1179]) ).
tcf(c_170253,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168831,c_1178]) ).
tcf(c_170254,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168831,c_152]) ).
tcf(c_170255,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168831,c_61]) ).
tcf(c_170257,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_168831,c_292]) ).
tcf(c_170258,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168831,c_8259]) ).
tcf(c_170259,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168831,c_8246]) ).
tcf(c_170273,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170259,c_120337]) ).
tcf(c_170285,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168832,c_1179]) ).
tcf(c_170286,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168832,c_1178]) ).
tcf(c_170287,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168832,c_152]) ).
tcf(c_170288,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168832,c_61]) ).
tcf(c_170290,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_168832,c_292]) ).
tcf(c_170291,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168832,c_8259]) ).
tcf(c_170292,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168832,c_8246]) ).
tcf(c_170306,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170292,c_120337]) ).
tcf(c_170326,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_168835]) ).
tcf(c_170341,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_169689]) ).
tcf(c_170364,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_168845]) ).
tcf(c_170377,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_170364,c_1179]) ).
tcf(c_170378,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK16(iPr_def_20),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_170364,c_1178]) ).
tcf(c_170379,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK16(iPr_def_20),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_170364,c_152]) ).
tcf(c_170380,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170364,c_61]) ).
tcf(c_170382,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170364,c_292]) ).
tcf(c_170383,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_170364,c_8259]) ).
tcf(c_170384,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170364,c_8246]) ).
tcf(c_170408,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170384,c_120337]) ).
tcf(c_170445,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170382,c_116408]) ).
tcf(c_170446,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170382,c_116002]) ).
tcf(c_170447,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170382,c_115708]) ).
tcf(c_170448,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170382,c_114071]) ).
tcf(c_170495,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_170225,c_116034]) ).
tcf(c_170496,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_170225,c_115761]) ).
tcf(c_170558,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_170257,c_116408]) ).
tcf(c_170559,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_170257,c_116002]) ).
tcf(c_170560,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_170257,c_115708]) ).
tcf(c_170561,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_170257,c_114071]) ).
tcf(c_170576,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_170290,c_116408]) ).
tcf(c_170577,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_170290,c_116002]) ).
tcf(c_170578,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_170290,c_115708]) ).
tcf(c_170579,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_170290,c_114071]) ).
tcf(c_170597,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168833,c_1179]) ).
tcf(c_170598,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168833,c_1178]) ).
tcf(c_170599,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168833,c_152]) ).
tcf(c_170600,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168833,c_61]) ).
tcf(c_170602,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_168833,c_292]) ).
tcf(c_170603,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168833,c_8259]) ).
tcf(c_170604,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168833,c_8246]) ).
tcf(c_170618,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170604,c_120337]) ).
tcf(c_170630,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168834,c_1179]) ).
tcf(c_170631,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168834,c_1178]) ).
tcf(c_170632,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168834,c_152]) ).
tcf(c_170633,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168834,c_61]) ).
tcf(c_170635,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_168834,c_292]) ).
tcf(c_170636,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168834,c_8259]) ).
tcf(c_170637,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168834,c_8246]) ).
tcf(c_170651,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170637,c_120337]) ).
tcf(c_170756,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168836,c_1179]) ).
tcf(c_170757,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168836,c_1178]) ).
tcf(c_170758,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168836,c_152]) ).
tcf(c_170759,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168836,c_61]) ).
tcf(c_170761,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_168836,c_292]) ).
tcf(c_170762,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168836,c_8259]) ).
tcf(c_170763,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168836,c_8246]) ).
tcf(c_170777,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170763,c_120337]) ).
tcf(c_170789,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_168846,c_1179]) ).
tcf(c_170790,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_168846,c_1178]) ).
tcf(c_170791,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_168846,c_152]) ).
tcf(c_170792,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168846,c_61]) ).
tcf(c_170794,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_168846,c_292]) ).
tcf(c_170795,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168846,c_8259]) ).
tcf(c_170796,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168846,c_8246]) ).
tcf(c_170831,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK16(iPr_def_20),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_170378,c_301]) ).
tcf(c_170832,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( sK16(iPr_def_20) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_20))
| ~ v1_tsp_1(sK16(iPr_def_20),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_170378,c_158]) ).
tcf(c_170833,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK16(iPr_def_20),X0)
| r1_tarski(sK16(iPr_def_20),sK7(X0,sK16(iPr_def_20)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170378,c_155]) ).
tcf(c_170834,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK16(iPr_def_20),X0)
| v1_tsp_1(sK7(X0,sK16(iPr_def_20)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170378,c_154]) ).
tcf(c_170835,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_170378,c_157]) ).
tcf(c_170836,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK20,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_170378,c_6743]) ).
tcf(c_170841,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(superposition,[status(thm)],[c_170378,c_116313]) ).
tcf(c_170843,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_116408]) ).
tcf(c_170844,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_116002]) ).
tcf(c_170845,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_115708]) ).
tcf(c_170846,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_114071]) ).
tcf(c_170847,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK16(iPr_def_20))) = k2_tex_4(sK3,sK5(sK3,sK16(iPr_def_20))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_116042]) ).
tcf(c_170848,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK16(iPr_def_20))) = k1_tarski(sK5(sK3,sK16(iPr_def_20))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_115769]) ).
tcf(c_170849,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_114678]) ).
tcf(c_170850,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_20),sK3) ),
inference(superposition,[status(thm)],[c_170378,c_116308]) ).
tcf(c_170851,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_116034]) ).
tcf(c_170852,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK3,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_115761]) ).
tcf(c_170853,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170378,c_114680]) ).
tcf(c_170957,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_170379,c_1179]) ).
tcf(c_170958,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK16(iPr_def_20),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_170379,c_1178]) ).
tcf(c_170959,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK16(iPr_def_20),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_170379,c_152]) ).
tcf(c_170960,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_61]) ).
tcf(c_170963,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_170379,c_8259]) ).
tcf(c_170964,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170379,c_8246]) ).
tcf(c_170965,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK3,sK16(iPr_def_20)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_170379,c_8258]) ).
tcf(c_170966,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_170379,c_8245]) ).
tcf(c_170967,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_170379,c_114471]) ).
tcf(c_170968,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_170379,c_114472]) ).
tcf(c_170969,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK16(iPr_def_20),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK16(iPr_def_20),X0)) ),
inference(superposition,[status(thm)],[c_170379,c_114497]) ).
tcf(c_170971,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_170379,c_149891]) ).
tcf(c_170972,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_170379,c_115529]) ).
tcf(c_170974,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_127905]) ).
tcf(c_170975,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK16(iPr_def_20))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_170379,c_119169]) ).
tcf(c_170977,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_125947]) ).
tcf(c_170982,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_126913]) ).
tcf(c_170983,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_127040]) ).
tcf(c_170984,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_127267]) ).
tcf(c_170985,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_170379,c_127375]) ).
tcf(c_170987,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_170379,c_128180]) ).
tcf(c_170988,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_170379,c_131210]) ).
tcf(c_170989,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_170379,c_131277]) ).
tcf(c_170990,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_142563]) ).
tcf(c_170993,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_170379,c_131706]) ).
tcf(c_170994,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_170379,c_131771]) ).
tcf(c_170995,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_170379,c_134036]) ).
tcf(c_170998,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_170379,c_137793]) ).
tcf(c_170999,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_170379,c_144958]) ).
tcf(c_171000,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_170379,c_151171]) ).
tcf(c_171002,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_170379,c_154067]) ).
tcf(c_171132,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK16(iPr_def_20))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170968,c_114308]) ).
tcf(c_171324,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK16(iPr_def_20),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_169690,c_299]) ).
tcf(c_171390,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_164474]) ).
tcf(c_171391,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_122521,c_164474]) ).
tcf(c_171392,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116009,c_164474]) ).
tcf(c_171393,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_145177,c_164474]) ).
tcf(c_171394,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171390,c_8236]) ).
tcf(c_171395,plain,
( ~ r1_tarski(iPr_def_18,iPr_def_30)
| ~ r1_tarski(iPr_def_32,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171394,c_8266]) ).
tcf(c_171398,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171391,c_122520]) ).
tcf(c_171399,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171392,c_116415]) ).
tcf(c_171400,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171393,c_145180]) ).
tcf(c_171401,plain,
( ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171400,c_157069]) ).
tcf(c_171411,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_165201]) ).
tcf(c_171412,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_122521,c_165201]) ).
tcf(c_171413,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116009,c_165201]) ).
tcf(c_171414,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_145177,c_165201]) ).
tcf(c_171415,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_171411,c_8236]) ).
tcf(c_171416,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_171412,c_122520]) ).
tcf(c_171417,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_171413,c_116415]) ).
tcf(c_171418,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171417,c_173]) ).
tcf(c_171421,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_171414,c_145180]) ).
tcf(c_171422,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171421,c_157069]) ).
tcf(c_171435,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151418,c_165201]) ).
tcf(c_171436,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151418,c_164474]) ).
tcf(c_171437,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151418,c_163671]) ).
tcf(c_171438,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) ),
inference(superposition,[status(thm)],[c_151418,c_115642]) ).
tcf(c_171439,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151418,c_160972]) ).
tcf(c_171440,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151418,c_156258]) ).
tcf(c_171441,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151418,c_154077]) ).
tcf(c_171442,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151418,c_151181]) ).
tcf(c_171443,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151418,c_149902]) ).
tcf(c_171444,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151418,c_149740]) ).
tcf(c_171445,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_153512]) ).
tcf(c_171446,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_153449]) ).
tcf(c_171447,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_151719]) ).
tcf(c_171448,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_152829]) ).
tcf(c_171449,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151418,c_119176]) ).
tcf(c_171450,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_151418,c_144968]) ).
tcf(c_171451,plain,
( r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151418,c_121717]) ).
tcf(c_171452,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151418,c_122086]) ).
tcf(c_171453,plain,
( r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151418,c_114881]) ).
tcf(c_171454,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_151418,c_118438]) ).
tcf(c_171455,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_151418,c_118401]) ).
tcf(c_171456,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151418,c_117916]) ).
tcf(c_171457,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_117899]) ).
tcf(c_171458,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151418,c_117874]) ).
tcf(c_171459,plain,
( v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_151418,c_116645]) ).
tcf(c_171460,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_115533]) ).
tcf(c_171461,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_115532]) ).
tcf(c_171462,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_151418,c_115880]) ).
tcf(c_171463,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_151418,c_115864]) ).
tcf(c_171464,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK5(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151418,c_115537]) ).
tcf(c_171465,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK5(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151418,c_115536]) ).
tcf(c_171466,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_151418,c_115645]) ).
tcf(c_171467,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_115528]) ).
tcf(c_171468,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151418,c_115530]) ).
tcf(c_171469,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151418,c_114473]) ).
tcf(c_171470,plain,
( m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151418,c_114453]) ).
tcf(c_171471,plain,
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151418,c_114316]) ).
tcf(c_171472,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151418,c_114352]) ).
tcf(c_171473,plain,
( ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_151418,c_113927]) ).
tcf(c_171474,plain,
( ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_151418,c_113903]) ).
tcf(c_171475,plain,
( r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151418,c_8275]) ).
tcf(c_171489,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_171475,c_151421]) ).
tcf(c_171492,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_171471,c_151421]) ).
tcf(c_171495,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_171469,c_151421]) ).
tcf(c_171502,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(light_normalisation,[status(thm)],[c_171459,c_151418]) ).
tcf(c_171506,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_171450,c_151421]) ).
tcf(c_171510,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_171467,c_151421]) ).
tcf(c_171515,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_171447,c_151421]) ).
tcf(c_171520,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_171444,c_151421]) ).
tcf(c_171524,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_171443,c_151421]) ).
tcf(c_171528,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_171442,c_151421]) ).
tcf(c_171532,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171441,c_151421]) ).
tcf(c_171536,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171440,c_151421]) ).
tcf(c_171540,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171439,c_151421]) ).
tcf(c_171544,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171437,c_151421]) ).
tcf(c_171548,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(light_normalisation,[status(thm)],[c_171436,c_151421]) ).
tcf(c_171552,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_171435,c_151421]) ).
tcf(c_171556,plain,
( v1_xboole_0(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(light_normalisation,[status(thm)],[c_171449,c_151421]) ).
tcf(c_171560,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(light_normalisation,[status(thm)],[c_171458,c_151418]) ).
tcf(c_171565,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK6(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) ),
inference(light_normalisation,[status(thm)],[c_171438,c_151421]) ).
tcf(c_171569,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(light_normalisation,[status(thm)],[c_171466,c_151421]) ).
tcf(c_171574,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_171463,c_151421]) ).
tcf(c_171579,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_171462,c_151421]) ).
tcf(c_171584,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(light_normalisation,[status(thm)],[c_171446,c_151418]) ).
tcf(c_171590,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(light_normalisation,[status(thm)],[c_171457,c_151418,c_151421]) ).
tcf(c_171596,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(light_normalisation,[status(thm)],[c_171445,c_151418,c_151421]) ).
tcf(c_171602,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(light_normalisation,[status(thm)],[c_171474,c_151418,c_151421]) ).
tcf(c_171606,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK5(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(light_normalisation,[status(thm)],[c_171465,c_151421]) ).
tcf(c_171611,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK5(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(light_normalisation,[status(thm)],[c_171464,c_151421]) ).
tcf(c_171616,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_171461,c_151421]) ).
tcf(c_171622,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_171460,c_151421]) ).
tcf(c_171628,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_171473,c_151418,c_151421]) ).
tcf(c_171633,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(light_normalisation,[status(thm)],[c_171455,c_151418,c_151421]) ).
tcf(c_171638,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| v1_tsp_2(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_171456,c_151418,c_151421]) ).
tcf(c_171646,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_171454,c_151418,c_151421]) ).
tcf(c_171754,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_170602,c_116408]) ).
tcf(c_171755,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_170602,c_116002]) ).
tcf(c_171756,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_170602,c_115708]) ).
tcf(c_171757,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_170602,c_114071]) ).
tcf(c_171772,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_170635,c_116408]) ).
tcf(c_171773,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_170635,c_116002]) ).
tcf(c_171774,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_170635,c_115708]) ).
tcf(c_171775,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_170635,c_114071]) ).
tcf(c_171790,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_170761,c_116408]) ).
tcf(c_171791,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_170761,c_116002]) ).
tcf(c_171792,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_170761,c_115708]) ).
tcf(c_171793,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_170761,c_114071]) ).
tcf(c_171831,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168849,c_1179]) ).
tcf(c_171832,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168849,c_1178]) ).
tcf(c_171833,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168849,c_152]) ).
tcf(c_171834,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_168849,c_61]) ).
tcf(c_171836,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_168849,c_292]) ).
tcf(c_171837,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_20))) = k1_struct_0(sK3,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168849,c_8259]) ).
tcf(c_171838,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168849,c_8246]) ).
tcf(c_171852,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_171838,c_120337]) ).
tcf(c_171927,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_20)) = k1_funct_1(sK4,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_171836,c_116408]) ).
tcf(c_171928,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_171836,c_116002]) ).
tcf(c_171929,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_20)) = k1_tarski(sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_171836,c_115708]) ).
tcf(c_171930,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_20)))) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_20)),k4_tex_4(sK2,sK16(iPr_def_20))) = k1_struct_0(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_171836,c_114071]) ).
tcf(c_171964,plain,
~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_171472,c_62414,c_91025]) ).
tcf(c_171966,plain,
r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_171489,c_62431,c_91025]) ).
tcf(c_171968,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_171966,c_1179]) ).
tcf(c_171969,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_171966,c_1178]) ).
tcf(c_171970,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_171966,c_152]) ).
tcf(c_171971,plain,
~ r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_171966,c_61]) ).
tcf(c_171973,plain,
m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_171966,c_292]) ).
tcf(c_171974,plain,
( ( k5_subset_1(iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_171966,c_8259]) ).
tcf(c_171975,plain,
( ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_171966,c_8246]) ).
tcf(c_171976,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_171966,c_8245]) ).
tcf(c_172001,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_171968]) ).
tcf(c_172002,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_116849,c_171968]) ).
tcf(c_172003,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_116843,c_171968]) ).
tcf(c_172031,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(global_subsumption_just,[status(thm)],[c_172002,c_62498,c_91025]) ).
tcf(c_172039,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK2,sK12(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))))) = k1_struct_0(sK2,sK12(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_172031]) ).
tcf(c_172051,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_171969]) ).
tcf(c_172052,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_171969]) ).
tcf(c_172053,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK3,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_171969]) ).
tcf(c_172054,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121716,c_171969]) ).
tcf(c_172081,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_172052,c_62412,c_91025,c_172052]) ).
tcf(c_172089,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| v1_xboole_0(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_172081,c_299]) ).
tcf(c_172100,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_171452,c_62394,c_91025]) ).
tcf(c_172143,plain,
m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20),
inference(global_subsumption_just,[status(thm)],[c_172054,c_91025,c_172054]) ).
tcf(c_172145,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_172143,c_299]) ).
tcf(c_172146,plain,
k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_funct_1(sK4,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_172143,c_116408]) ).
tcf(c_172147,plain,
k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_172143,c_116002]) ).
tcf(c_172148,plain,
k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_172143,c_115708]) ).
tcf(c_172149,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))))) = k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_172143,c_114071]) ).
tcf(c_172150,plain,
r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_172145,c_8248]) ).
tcf(c_172154,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_172150,c_1178]) ).
tcf(c_172155,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_172150,c_152]) ).
tcf(c_172156,plain,
~ r2_hidden(iPr_def_20,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_172150,c_61]) ).
tcf(c_172159,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_172150,c_8259]) ).
tcf(c_172160,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_172150,c_8246]) ).
tcf(c_172165,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_172160,c_172147,c_172148]) ).
tcf(c_172166,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172165,c_120337]) ).
tcf(c_172196,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_171970]) ).
tcf(c_172197,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_171970]) ).
tcf(c_172198,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK3,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_171970]) ).
tcf(c_172225,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_172197,c_62412,c_91025,c_172197]) ).
tcf(c_172233,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_172225,c_1179]) ).
tcf(c_172234,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_172225,c_1178]) ).
tcf(c_172235,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_172225,c_152]) ).
tcf(c_172236,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r2_hidden(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172225,c_61]) ).
tcf(c_172239,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK3)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_172225,c_8259]) ).
tcf(c_172240,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_172225,c_8246]) ).
tcf(c_172256,plain,
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| ~ m1_subset_1(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_172240,c_172147,c_172148]) ).
tcf(c_172405,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_131528,c_64709]) ).
tcf(c_172415,plain,
r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(global_subsumption_just,[status(thm)],[c_171453,c_62395,c_91025]) ).
tcf(c_172418,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_172415,c_1178]) ).
tcf(c_172419,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_172415,c_152]) ).
tcf(c_172422,plain,
m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(superposition,[status(thm)],[c_172415,c_292]) ).
tcf(c_172423,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_172415,c_8259]) ).
tcf(c_172424,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_172415,c_8246]) ).
tcf(c_172489,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_172422,c_116416]) ).
tcf(c_172490,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_172422,c_116010]) ).
tcf(c_172491,plain,
r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20),
inference(superposition,[status(thm)],[c_172422,c_114679]) ).
tcf(c_172492,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_172422,c_115716]) ).
tcf(c_172493,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(superposition,[status(thm)],[c_172422,c_116313]) ).
tcf(c_172494,plain,
( v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) ) ),
inference(superposition,[status(thm)],[c_172422,c_114117]) ).
tcf(c_172551,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_170130,c_1178]) ).
tcf(c_172552,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_170130,c_152]) ).
tcf(c_172553,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_61]) ).
tcf(c_172556,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_170130,c_8259]) ).
tcf(c_172557,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170130,c_8246]) ).
tcf(c_172558,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18) ),
inference(superposition,[status(thm)],[c_170130,c_8258]) ).
tcf(c_172559,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_170130,c_8245]) ).
tcf(c_172560,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_170130,c_114471]) ).
tcf(c_172561,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_170130,c_114472]) ).
tcf(c_172562,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_21,sK6(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),X0)) ),
inference(superposition,[status(thm)],[c_170130,c_114497]) ).
tcf(c_172564,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_149891]) ).
tcf(c_172565,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_115529]) ).
tcf(c_172567,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_127905]) ).
tcf(c_172568,plain,
( v1_xboole_0(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(iPr_def_21,sK12(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_170130,c_119169]) ).
tcf(c_172570,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_125947]) ).
tcf(c_172575,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_126913]) ).
tcf(c_172576,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_127040]) ).
tcf(c_172577,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_127267]) ).
tcf(c_172578,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_127375]) ).
tcf(c_172580,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_128180]) ).
tcf(c_172581,plain,
( ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_131210]) ).
tcf(c_172582,plain,
( ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_131277]) ).
tcf(c_172583,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_142563]) ).
tcf(c_172586,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_131706]) ).
tcf(c_172587,plain,
( ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_131771]) ).
tcf(c_172588,plain,
( ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_134036]) ).
tcf(c_172591,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_137793]) ).
tcf(c_172629,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))),
inference(forward_subsumption_resolution,[status(thm)],[c_172568,c_191]) ).
tcf(c_172643,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172561,c_170133]) ).
tcf(c_172646,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ r1_tarski(iPr_def_21,sK5(sK3,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172560,c_164392]) ).
tcf(c_172816,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_125882]) ).
tcf(c_172822,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_172491,c_117091]) ).
tcf(c_172832,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172822,c_120337,c_172422]) ).
tcf(c_172854,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_125882]) ).
tcf(c_172860,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121392,c_117091]) ).
tcf(c_172868,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = iPr_def_18 )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172860,c_116663,c_8268]) ).
tcf(c_172885,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_8238,c_172565]) ).
tcf(c_172886,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_122521,c_172565]) ).
tcf(c_172887,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_116009,c_172565]) ).
tcf(c_172888,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_145177,c_172565]) ).
tcf(c_172889,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151418,c_172565]) ).
tcf(c_172890,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_30)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(iPr_def_32,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_172885,c_8236]) ).
tcf(c_172891,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_172886,c_122520]) ).
tcf(c_172892,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_172887,c_116415]) ).
tcf(c_172893,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_172888,c_145180]) ).
tcf(c_172894,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_172889,c_151421]) ).
tcf(c_172933,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK17(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_133555,c_111747]) ).
tcf(c_173024,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_125946]) ).
tcf(c_173025,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_125946]) ).
tcf(c_173026,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_125946]) ).
tcf(c_173027,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_125946]) ).
tcf(c_173029,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_125946]) ).
tcf(c_173030,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_125946]) ).
tcf(c_173031,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_125946]) ).
tcf(c_173032,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_125946]) ).
tcf(c_173033,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_125946]) ).
tcf(c_173034,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_125946]) ).
tcf(c_173035,plain,
( r2_hidden(sK16(iPr_def_18),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_125946]) ).
tcf(c_173036,plain,
( r2_hidden(sK16(iPr_def_18),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_125946]) ).
tcf(c_173037,plain,
( r2_hidden(sK16(iPr_def_18),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_125946]) ).
tcf(c_173038,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_125946]) ).
tcf(c_173039,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_125946]) ).
tcf(c_173040,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_125946]) ).
tcf(c_173042,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_125946]) ).
tcf(c_173043,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_125946]) ).
tcf(c_173044,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_125946]) ).
tcf(c_173045,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_125946]) ).
tcf(c_173046,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_125946]) ).
tcf(c_173047,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_125946]) ).
tcf(c_173048,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_125946]) ).
tcf(c_173049,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_125946]) ).
tcf(c_173050,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_125946]) ).
tcf(c_173051,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_125946]) ).
tcf(c_173052,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_125946]) ).
tcf(c_173053,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_125946]) ).
tcf(c_173054,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_125946]) ).
tcf(c_173055,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_125946]) ).
tcf(c_173056,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_125946]) ).
tcf(c_173057,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_125946]) ).
tcf(c_173058,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_125946]) ).
tcf(c_173059,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_125946]) ).
tcf(c_173060,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_125946]) ).
tcf(c_173061,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_125946]) ).
tcf(c_173062,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_125946]) ).
tcf(c_173063,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_125946]) ).
tcf(c_173064,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_125946]) ).
tcf(c_173065,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_125946]) ).
tcf(c_173066,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_18),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_125946]) ).
tcf(c_173067,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK16(iPr_def_18),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_125946]) ).
tcf(c_173068,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_125946]) ).
tcf(c_173069,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_125946]) ).
tcf(c_173070,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_18),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_125946]) ).
tcf(c_173071,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_125946]) ).
tcf(c_173073,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_125946]) ).
tcf(c_173074,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_125946]) ).
tcf(c_173075,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_125946]) ).
tcf(c_173076,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_125946]) ).
tcf(c_173077,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_125946]) ).
tcf(c_173078,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_125946]) ).
tcf(c_173079,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_125946]) ).
tcf(c_173080,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_125946]) ).
tcf(c_173084,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_125946]) ).
tcf(c_173088,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_125946]) ).
tcf(c_173089,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_125946]) ).
tcf(c_173090,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_125946]) ).
tcf(c_173091,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_125946]) ).
tcf(c_173092,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_125946]) ).
tcf(c_173093,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_125946]) ).
tcf(c_173094,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_125946]) ).
tcf(c_173095,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_125946]) ).
tcf(c_173096,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_125946]) ).
tcf(c_173097,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_125946]) ).
tcf(c_173098,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_125946]) ).
tcf(c_173099,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_125946]) ).
tcf(c_173100,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_125946]) ).
tcf(c_173101,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_125946]) ).
tcf(c_173102,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_125946]) ).
tcf(c_173103,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_125946]) ).
tcf(c_173104,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_125946]) ).
tcf(c_173105,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_125946]) ).
tcf(c_173106,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_125946]) ).
tcf(c_173107,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_125946]) ).
tcf(c_173108,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_125946]) ).
tcf(c_173109,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_125946]) ).
tcf(c_173110,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_125946]) ).
tcf(c_173111,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_125946]) ).
tcf(c_173112,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_19,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_125946]) ).
tcf(c_173113,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_125946]) ).
tcf(c_173114,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_125946]) ).
tcf(c_173115,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_125946]) ).
tcf(c_173117,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_125946]) ).
tcf(c_173118,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_125946]) ).
tcf(c_173119,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_125946]) ).
tcf(c_173120,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_125946]) ).
tcf(c_173124,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_125946]) ).
tcf(c_173125,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_125946]) ).
tcf(c_173126,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_125946]) ).
tcf(c_173127,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_125946]) ).
tcf(c_173128,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_125946]) ).
tcf(c_173129,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_125946]) ).
tcf(c_173136,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_125946]) ).
tcf(c_173137,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_125946]) ).
tcf(c_173138,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_125946]) ).
tcf(c_173139,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_125946]) ).
tcf(c_173142,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_125946]) ).
tcf(c_173143,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_125946]) ).
tcf(c_173144,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_125946]) ).
tcf(c_173145,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_125946]) ).
tcf(c_173146,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_125946]) ).
tcf(c_173148,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_125946]) ).
tcf(c_173149,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_125946]) ).
tcf(c_173153,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_125946]) ).
tcf(c_173155,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_125946]) ).
tcf(c_173157,plain,
( r2_hidden(sK16(iPr_def_18),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_125946]) ).
tcf(c_173159,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_125946]) ).
tcf(c_173160,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_125946]) ).
tcf(c_173163,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_125946]) ).
tcf(c_173164,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_18),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_125946]) ).
tcf(c_173165,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_125946]) ).
tcf(c_173166,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_125946]) ).
tcf(c_173167,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_125946]) ).
tcf(c_173168,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_125946]) ).
tcf(c_175193,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_126684]) ).
tcf(c_175194,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_126684]) ).
tcf(c_175195,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_126684]) ).
tcf(c_175196,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_126684]) ).
tcf(c_175198,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_126684]) ).
tcf(c_175199,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_126684]) ).
tcf(c_175200,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_126684]) ).
tcf(c_175201,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_126684]) ).
tcf(c_175202,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_126684]) ).
tcf(c_175203,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_126684]) ).
tcf(c_175204,plain,
( r2_hidden(sK17(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_126684]) ).
tcf(c_175205,plain,
( r2_hidden(sK17(sK2),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_126684]) ).
tcf(c_175206,plain,
( r2_hidden(sK17(sK2),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_126684]) ).
tcf(c_175207,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_126684]) ).
tcf(c_175208,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_126684]) ).
tcf(c_175209,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_126684]) ).
tcf(c_175221,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_126684]) ).
tcf(c_175222,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_126684]) ).
tcf(c_175235,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_126684]) ).
tcf(c_175236,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK17(sK2),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_126684]) ).
tcf(c_175237,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_126684]) ).
tcf(c_175238,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_126684]) ).
tcf(c_175239,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK2),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_126684]) ).
tcf(c_175240,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_126684]) ).
tcf(c_175241,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_126684]) ).
tcf(c_175243,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_126684]) ).
tcf(c_175244,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_126684]) ).
tcf(c_175245,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_126684]) ).
tcf(c_175246,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_126684]) ).
tcf(c_175247,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_126684]) ).
tcf(c_175248,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_126684]) ).
tcf(c_175249,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_126684]) ).
tcf(c_175250,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_126684]) ).
tcf(c_175251,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_126684]) ).
tcf(c_175252,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_126684]) ).
tcf(c_175253,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_126684]) ).
tcf(c_175254,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_126684]) ).
tcf(c_175255,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_126684]) ).
tcf(c_175256,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_126684]) ).
tcf(c_175257,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_126684]) ).
tcf(c_175258,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_126684]) ).
tcf(c_175259,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_126684]) ).
tcf(c_175261,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_126684]) ).
tcf(c_175262,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_126684]) ).
tcf(c_175263,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_126684]) ).
tcf(c_175264,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_126684]) ).
tcf(c_175265,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_126684]) ).
tcf(c_175266,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_126684]) ).
tcf(c_175268,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_126684]) ).
tcf(c_175271,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_126684]) ).
tcf(c_175275,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK2),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_126684]) ).
tcf(c_175276,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_126684]) ).
tcf(c_175277,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_126684]) ).
tcf(c_175278,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_126684]) ).
tcf(c_175279,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_126684]) ).
tcf(c_175281,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_21,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_126684]) ).
tcf(c_175282,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_126684]) ).
tcf(c_175283,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_126684]) ).
tcf(c_175284,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_126684]) ).
tcf(c_175285,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_126684]) ).
tcf(c_175290,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_126684]) ).
tcf(c_175291,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_126684]) ).
tcf(c_175292,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_126684]) ).
tcf(c_175299,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_126684]) ).
tcf(c_175300,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_126684]) ).
tcf(c_175301,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_126684]) ).
tcf(c_175302,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_126684]) ).
tcf(c_175303,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_126684]) ).
tcf(c_175304,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_126684]) ).
tcf(c_175305,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_126684]) ).
tcf(c_175306,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_126684]) ).
tcf(c_175309,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_126684]) ).
tcf(c_175310,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_126684]) ).
tcf(c_175313,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_126684]) ).
tcf(c_175314,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_126684]) ).
tcf(c_175316,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_126684]) ).
tcf(c_175317,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_126684]) ).
tcf(c_175318,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_126684]) ).
tcf(c_175319,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_126684]) ).
tcf(c_175320,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_126684]) ).
tcf(c_175321,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_126684]) ).
tcf(c_175323,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_126684]) ).
tcf(c_175325,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_126684]) ).
tcf(c_175326,plain,
( r2_hidden(sK17(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_126684]) ).
tcf(c_175329,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_126684]) ).
tcf(c_175332,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_126684]) ).
tcf(c_175333,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK2),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_126684]) ).
tcf(c_175334,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_126684]) ).
tcf(c_175335,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_126684]) ).
tcf(c_175336,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_126684]) ).
tcf(c_175337,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_126684]) ).
tcf(c_176135,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK16(iPr_def_18),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_173066,c_1178]) ).
tcf(c_176136,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_18),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_173066,c_152]) ).
tcf(c_176137,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173066,c_61]) ).
tcf(c_176139,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK16(iPr_def_18),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173066,c_292]) ).
tcf(c_176140,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_173066,c_8259]) ).
tcf(c_176141,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_173066,c_8246]) ).
tcf(c_176189,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK17(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_175235,c_1178]) ).
tcf(c_176190,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_175235,c_152]) ).
tcf(c_176191,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175235,c_61]) ).
tcf(c_176193,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK17(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175235,c_292]) ).
tcf(c_176194,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_175235,c_8259]) ).
tcf(c_176195,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_175235,c_8246]) ).
tcf(c_176328,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK6(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) ),
inference(superposition,[status(thm)],[c_151421,c_115642]) ).
tcf(c_176329,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151421,c_119176]) ).
tcf(c_176330,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151421,c_137803]) ).
tcf(c_176331,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151421,c_137620]) ).
tcf(c_176332,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_151421,c_135494]) ).
tcf(c_176333,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_151421,c_134047]) ).
tcf(c_176334,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_151421,c_131781]) ).
tcf(c_176335,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_151421,c_131716]) ).
tcf(c_176336,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_151421,c_131647]) ).
tcf(c_176337,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_151421,c_131390]) ).
tcf(c_176338,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_151421,c_131287]) ).
tcf(c_176339,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_151421,c_131220]) ).
tcf(c_176340,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_151421,c_128189]) ).
tcf(c_176341,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_151421,c_128073]) ).
tcf(c_176342,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_151421,c_127914]) ).
tcf(c_176343,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_151421,c_127844]) ).
tcf(c_176344,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_151421,c_127384]) ).
tcf(c_176345,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_151421,c_127276]) ).
tcf(c_176346,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_151421,c_127049]) ).
tcf(c_176347,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_151421,c_126922]) ).
tcf(c_176348,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_151421,c_126834]) ).
tcf(c_176349,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_151421,c_126771]) ).
tcf(c_176350,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_151421,c_126694]) ).
tcf(c_176351,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_151421,c_125956]) ).
tcf(c_176352,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_151421,c_125892]) ).
tcf(c_176354,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151421,c_123330]) ).
tcf(c_176355,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151421,c_127185]) ).
tcf(c_176356,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_28)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_29) ),
inference(superposition,[status(thm)],[c_151421,c_121839]) ).
tcf(c_176357,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151421,c_121727]) ).
tcf(c_176358,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_151421,c_121402]) ).
tcf(c_176359,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151421,c_114887]) ).
tcf(c_176360,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151421,c_120313]) ).
tcf(c_176361,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_151421,c_115617]) ).
tcf(c_176362,plain,
( v1_tsp_2(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK7(sK2,sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151421,c_117916]) ).
tcf(c_176363,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_151421,c_116655]) ).
tcf(c_176364,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK5(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151421,c_115537]) ).
tcf(c_176365,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK5(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_151421,c_115536]) ).
tcf(c_176366,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151421,c_115531]) ).
tcf(c_176367,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(superposition,[status(thm)],[c_151421,c_115276]) ).
tcf(c_176368,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151421,c_114473]) ).
tcf(c_176369,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151421,c_114316]) ).
tcf(c_176370,plain,
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151421,c_114292]) ).
tcf(c_176371,plain,
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_151421,c_8275]) ).
tcf(c_176372,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(X0)) ),
inference(superposition,[status(thm)],[c_151421,c_142573]) ).
tcf(c_176373,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_151421,c_115645]) ).
tcf(c_176374,plain,
! [X0: $i] :
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_151421,c_115529]) ).
tcf(c_176384,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_176367,c_151418]) ).
tcf(c_176388,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(light_normalisation,[status(thm)],[c_176366,c_151418]) ).
tcf(c_176392,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_176358,c_151418]) ).
tcf(c_176396,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_176357,c_151418]) ).
tcf(c_176400,plain,
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_28)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_29) ),
inference(light_normalisation,[status(thm)],[c_176356,c_151418]) ).
tcf(c_176404,plain,
! [X0: $i] :
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(light_normalisation,[status(thm)],[c_176374,c_151418]) ).
tcf(c_176408,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_176361,c_151418]) ).
tcf(c_176412,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK16(iPr_def_20)) ),
inference(light_normalisation,[status(thm)],[c_176352,c_151418]) ).
tcf(c_176416,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK16(iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_176351,c_151418]) ).
tcf(c_176420,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK17(sK2)) ),
inference(light_normalisation,[status(thm)],[c_176350,c_151418]) ).
tcf(c_176424,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK19(sK2)) ),
inference(light_normalisation,[status(thm)],[c_176349,c_151418]) ).
tcf(c_176428,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK25(sK2)) ),
inference(light_normalisation,[status(thm)],[c_176348,c_151418]) ).
tcf(c_176432,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK17(sK3)) ),
inference(light_normalisation,[status(thm)],[c_176347,c_151418]) ).
tcf(c_176436,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK19(sK3)) ),
inference(light_normalisation,[status(thm)],[c_176346,c_151418]) ).
tcf(c_176440,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK25(sK3)) ),
inference(light_normalisation,[status(thm)],[c_176345,c_151418]) ).
tcf(c_176444,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK16(iPr_def_28)) ),
inference(light_normalisation,[status(thm)],[c_176344,c_151418]) ).
tcf(c_176448,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(iPr_def_27)) ),
inference(light_normalisation,[status(thm)],[c_176343,c_151418]) ).
tcf(c_176452,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(iPr_def_19)) ),
inference(light_normalisation,[status(thm)],[c_176342,c_151418]) ).
tcf(c_176456,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(iPr_def_21)) ),
inference(light_normalisation,[status(thm)],[c_176341,c_151418]) ).
tcf(c_176460,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(iPr_def_29)) ),
inference(light_normalisation,[status(thm)],[c_176340,c_151418]) ).
tcf(c_176464,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK13(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_176339,c_151418]) ).
tcf(c_176468,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK11(iPr_def_20,iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_176338,c_151418]) ).
tcf(c_176472,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_176337,c_151418]) ).
tcf(c_176476,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_176336,c_151418]) ).
tcf(c_176480,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_176335,c_151418]) ).
tcf(c_176484,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_176334,c_151418]) ).
tcf(c_176488,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK3,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_176333,c_151418]) ).
tcf(c_176492,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,iPr_def_30)) ),
inference(light_normalisation,[status(thm)],[c_176332,c_151418]) ).
tcf(c_176496,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(sK12(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_176331,c_151418]) ).
tcf(c_176500,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(sK12(iPr_def_18))) ),
inference(light_normalisation,[status(thm)],[c_176330,c_151418]) ).
tcf(c_176504,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK12(X0)) ),
inference(light_normalisation,[status(thm)],[c_176372,c_151418]) ).
tcf(c_176512,plain,
( v1_tsp_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_176363,c_151418,c_151421]) ).
tcf(c_176519,plain,
( ( k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_29)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_176355,c_151418,c_151421]) ).
tcf(c_176527,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_zfmisc_1(X0)) ),
inference(light_normalisation,[status(thm)],[c_176360,c_151418,c_151421]) ).
tcf(c_176593,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_126761]) ).
tcf(c_176594,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_126761]) ).
tcf(c_176595,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_126761]) ).
tcf(c_176596,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_126761]) ).
tcf(c_176598,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_126761]) ).
tcf(c_176599,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_126761]) ).
tcf(c_176600,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_126761]) ).
tcf(c_176601,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_126761]) ).
tcf(c_176602,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_126761]) ).
tcf(c_176603,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_126761]) ).
tcf(c_176604,plain,
( r2_hidden(sK19(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_126761]) ).
tcf(c_176605,plain,
( r2_hidden(sK19(sK2),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_126761]) ).
tcf(c_176606,plain,
( r2_hidden(sK19(sK2),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_126761]) ).
tcf(c_176607,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_126761]) ).
tcf(c_176608,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_126761]) ).
tcf(c_176609,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_126761]) ).
tcf(c_176621,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_126761]) ).
tcf(c_176622,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_126761]) ).
tcf(c_176635,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_126761]) ).
tcf(c_176636,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK19(sK2),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_126761]) ).
tcf(c_176637,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_126761]) ).
tcf(c_176638,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_126761]) ).
tcf(c_176639,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK2),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_126761]) ).
tcf(c_176640,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_126761]) ).
tcf(c_176641,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_126761]) ).
tcf(c_176643,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_126761]) ).
tcf(c_176644,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_126761]) ).
tcf(c_176645,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_126761]) ).
tcf(c_176646,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_126761]) ).
tcf(c_176647,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_126761]) ).
tcf(c_176648,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_126761]) ).
tcf(c_176649,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_126761]) ).
tcf(c_176650,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_126761]) ).
tcf(c_176651,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_126761]) ).
tcf(c_176652,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_126761]) ).
tcf(c_176653,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_126761]) ).
tcf(c_176654,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_126761]) ).
tcf(c_176655,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_126761]) ).
tcf(c_176656,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_126761]) ).
tcf(c_176657,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_126761]) ).
tcf(c_176658,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_126761]) ).
tcf(c_176659,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_126761]) ).
tcf(c_176661,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_126761]) ).
tcf(c_176662,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_126761]) ).
tcf(c_176663,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_126761]) ).
tcf(c_176664,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_126761]) ).
tcf(c_176665,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_126761]) ).
tcf(c_176666,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_126761]) ).
tcf(c_176668,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_126761]) ).
tcf(c_176671,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_126761]) ).
tcf(c_176675,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK2),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_126761]) ).
tcf(c_176676,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_126761]) ).
tcf(c_176677,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_126761]) ).
tcf(c_176678,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_126761]) ).
tcf(c_176679,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_126761]) ).
tcf(c_176681,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_21,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_126761]) ).
tcf(c_176682,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_126761]) ).
tcf(c_176683,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_126761]) ).
tcf(c_176684,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_126761]) ).
tcf(c_176685,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_126761]) ).
tcf(c_176690,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_126761]) ).
tcf(c_176691,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_126761]) ).
tcf(c_176692,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_126761]) ).
tcf(c_176699,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_126761]) ).
tcf(c_176700,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_126761]) ).
tcf(c_176701,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_126761]) ).
tcf(c_176702,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_126761]) ).
tcf(c_176703,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_126761]) ).
tcf(c_176704,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_126761]) ).
tcf(c_176705,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_126761]) ).
tcf(c_176706,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_126761]) ).
tcf(c_176709,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_126761]) ).
tcf(c_176710,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_126761]) ).
tcf(c_176713,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_126761]) ).
tcf(c_176714,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_126761]) ).
tcf(c_176716,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_126761]) ).
tcf(c_176717,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_126761]) ).
tcf(c_176718,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_126761]) ).
tcf(c_176719,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_126761]) ).
tcf(c_176720,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_126761]) ).
tcf(c_176721,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_126761]) ).
tcf(c_176723,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_126761]) ).
tcf(c_176725,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_126761]) ).
tcf(c_176726,plain,
( r2_hidden(sK19(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_126761]) ).
tcf(c_176729,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_126761]) ).
tcf(c_176732,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_126761]) ).
tcf(c_176733,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK2),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_126761]) ).
tcf(c_176734,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_126761]) ).
tcf(c_176735,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_126761]) ).
tcf(c_176736,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_126761]) ).
tcf(c_176737,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_126761]) ).
tcf(c_177563,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_126824]) ).
tcf(c_177564,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_126824]) ).
tcf(c_177565,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_126824]) ).
tcf(c_177566,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_126824]) ).
tcf(c_177568,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_126824]) ).
tcf(c_177569,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_126824]) ).
tcf(c_177570,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_126824]) ).
tcf(c_177571,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_126824]) ).
tcf(c_177572,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_126824]) ).
tcf(c_177573,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_126824]) ).
tcf(c_177574,plain,
( r2_hidden(sK25(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_126824]) ).
tcf(c_177575,plain,
( r2_hidden(sK25(sK2),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_126824]) ).
tcf(c_177576,plain,
( r2_hidden(sK25(sK2),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_126824]) ).
tcf(c_177577,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_126824]) ).
tcf(c_177578,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_126824]) ).
tcf(c_177579,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_126824]) ).
tcf(c_177591,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_126824]) ).
tcf(c_177592,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_126824]) ).
tcf(c_177605,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_126824]) ).
tcf(c_177606,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK25(sK2),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_126824]) ).
tcf(c_177607,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_126824]) ).
tcf(c_177608,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_126824]) ).
tcf(c_177609,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK2),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_126824]) ).
tcf(c_177610,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_126824]) ).
tcf(c_177611,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_126824]) ).
tcf(c_177613,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_126824]) ).
tcf(c_177614,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_126824]) ).
tcf(c_177615,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_126824]) ).
tcf(c_177616,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_126824]) ).
tcf(c_177617,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_126824]) ).
tcf(c_177618,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_126824]) ).
tcf(c_177619,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_126824]) ).
tcf(c_177620,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_126824]) ).
tcf(c_177621,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_126824]) ).
tcf(c_177622,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_126824]) ).
tcf(c_177623,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_126824]) ).
tcf(c_177624,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_126824]) ).
tcf(c_177625,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_126824]) ).
tcf(c_177626,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_126824]) ).
tcf(c_177627,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_126824]) ).
tcf(c_177628,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_126824]) ).
tcf(c_177629,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_126824]) ).
tcf(c_177631,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_126824]) ).
tcf(c_177632,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_126824]) ).
tcf(c_177633,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_126824]) ).
tcf(c_177634,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_126824]) ).
tcf(c_177635,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_126824]) ).
tcf(c_177636,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_126824]) ).
tcf(c_177638,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_126824]) ).
tcf(c_177641,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_126824]) ).
tcf(c_177645,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK2),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_126824]) ).
tcf(c_177646,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_126824]) ).
tcf(c_177647,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_126824]) ).
tcf(c_177648,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_126824]) ).
tcf(c_177649,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_126824]) ).
tcf(c_177651,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_21,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_126824]) ).
tcf(c_177652,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_126824]) ).
tcf(c_177653,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_126824]) ).
tcf(c_177654,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_126824]) ).
tcf(c_177655,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_126824]) ).
tcf(c_177660,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_126824]) ).
tcf(c_177661,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_126824]) ).
tcf(c_177662,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_126824]) ).
tcf(c_177669,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_126824]) ).
tcf(c_177670,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_126824]) ).
tcf(c_177671,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_126824]) ).
tcf(c_177672,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_126824]) ).
tcf(c_177673,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_126824]) ).
tcf(c_177674,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_126824]) ).
tcf(c_177675,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_126824]) ).
tcf(c_177676,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_126824]) ).
tcf(c_177679,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_126824]) ).
tcf(c_177680,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_126824]) ).
tcf(c_177683,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_126824]) ).
tcf(c_177684,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_126824]) ).
tcf(c_177686,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_126824]) ).
tcf(c_177687,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_126824]) ).
tcf(c_177688,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_126824]) ).
tcf(c_177689,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_126824]) ).
tcf(c_177690,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_126824]) ).
tcf(c_177691,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_126824]) ).
tcf(c_177693,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_126824]) ).
tcf(c_177695,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_126824]) ).
tcf(c_177696,plain,
( r2_hidden(sK25(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_126824]) ).
tcf(c_177699,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_126824]) ).
tcf(c_177702,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_126824]) ).
tcf(c_177703,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK2),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_126824]) ).
tcf(c_177704,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_126824]) ).
tcf(c_177705,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_126824]) ).
tcf(c_177706,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_126824]) ).
tcf(c_177707,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_126824]) ).
tcf(c_178389,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_126912]) ).
tcf(c_178390,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_126912]) ).
tcf(c_178391,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_126912]) ).
tcf(c_178392,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_126912]) ).
tcf(c_178394,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_126912]) ).
tcf(c_178395,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_126912]) ).
tcf(c_178396,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_126912]) ).
tcf(c_178397,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_126912]) ).
tcf(c_178398,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_126912]) ).
tcf(c_178399,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_126912]) ).
tcf(c_178400,plain,
( r2_hidden(sK17(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_126912]) ).
tcf(c_178401,plain,
( r2_hidden(sK17(sK3),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_126912]) ).
tcf(c_178402,plain,
( r2_hidden(sK17(sK3),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_126912]) ).
tcf(c_178403,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_126912]) ).
tcf(c_178404,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_126912]) ).
tcf(c_178405,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_126912]) ).
tcf(c_178407,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_126912]) ).
tcf(c_178408,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_126912]) ).
tcf(c_178409,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_126912]) ).
tcf(c_178410,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_126912]) ).
tcf(c_178411,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_126912]) ).
tcf(c_178412,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_126912]) ).
tcf(c_178413,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_126912]) ).
tcf(c_178414,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_126912]) ).
tcf(c_178415,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_126912]) ).
tcf(c_178416,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_126912]) ).
tcf(c_178417,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_126912]) ).
tcf(c_178418,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_126912]) ).
tcf(c_178419,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_126912]) ).
tcf(c_178420,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_126912]) ).
tcf(c_178421,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_126912]) ).
tcf(c_178422,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_126912]) ).
tcf(c_178423,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_126912]) ).
tcf(c_178424,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_126912]) ).
tcf(c_178425,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_126912]) ).
tcf(c_178426,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_126912]) ).
tcf(c_178427,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_126912]) ).
tcf(c_178428,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_126912]) ).
tcf(c_178429,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_126912]) ).
tcf(c_178430,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_126912]) ).
tcf(c_178431,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_126912]) ).
tcf(c_178432,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK17(sK3),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_126912]) ).
tcf(c_178433,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_126912]) ).
tcf(c_178434,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_126912]) ).
tcf(c_178435,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK3),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_126912]) ).
tcf(c_178436,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_126912]) ).
tcf(c_178438,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_126912]) ).
tcf(c_178439,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_126912]) ).
tcf(c_178440,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_126912]) ).
tcf(c_178441,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_126912]) ).
tcf(c_178442,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_126912]) ).
tcf(c_178443,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_126912]) ).
tcf(c_178444,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_126912]) ).
tcf(c_178445,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_126912]) ).
tcf(c_178449,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_126912]) ).
tcf(c_178453,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_126912]) ).
tcf(c_178454,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_126912]) ).
tcf(c_178455,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_126912]) ).
tcf(c_178456,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_126912]) ).
tcf(c_178457,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_126912]) ).
tcf(c_178458,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_126912]) ).
tcf(c_178459,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_126912]) ).
tcf(c_178460,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_126912]) ).
tcf(c_178461,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_126912]) ).
tcf(c_178462,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_126912]) ).
tcf(c_178463,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_126912]) ).
tcf(c_178464,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_126912]) ).
tcf(c_178465,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_126912]) ).
tcf(c_178466,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_126912]) ).
tcf(c_178467,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_126912]) ).
tcf(c_178468,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_126912]) ).
tcf(c_178469,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_126912]) ).
tcf(c_178470,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_126912]) ).
tcf(c_178471,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK3),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_126912]) ).
tcf(c_178472,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_126912]) ).
tcf(c_178473,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_126912]) ).
tcf(c_178474,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_126912]) ).
tcf(c_178475,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_126912]) ).
tcf(c_178476,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_126912]) ).
tcf(c_178477,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_19,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_126912]) ).
tcf(c_178478,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_126912]) ).
tcf(c_178479,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_126912]) ).
tcf(c_178480,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_126912]) ).
tcf(c_178482,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_126912]) ).
tcf(c_178483,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_126912]) ).
tcf(c_178484,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_126912]) ).
tcf(c_178485,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_126912]) ).
tcf(c_178489,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_126912]) ).
tcf(c_178490,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_126912]) ).
tcf(c_178491,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_126912]) ).
tcf(c_178492,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_126912]) ).
tcf(c_178493,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_126912]) ).
tcf(c_178494,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_126912]) ).
tcf(c_178501,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_126912]) ).
tcf(c_178502,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_126912]) ).
tcf(c_178503,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_126912]) ).
tcf(c_178504,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_126912]) ).
tcf(c_178507,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_126912]) ).
tcf(c_178508,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_126912]) ).
tcf(c_178509,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_126912]) ).
tcf(c_178510,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_126912]) ).
tcf(c_178511,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_126912]) ).
tcf(c_178513,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_126912]) ).
tcf(c_178514,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_126912]) ).
tcf(c_178518,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_126912]) ).
tcf(c_178520,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_126912]) ).
tcf(c_178522,plain,
( r2_hidden(sK17(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_126912]) ).
tcf(c_178524,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_126912]) ).
tcf(c_178525,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_126912]) ).
tcf(c_178528,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_126912]) ).
tcf(c_178529,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK17(sK3),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_126912]) ).
tcf(c_178530,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_126912]) ).
tcf(c_178531,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_126912]) ).
tcf(c_178532,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_126912]) ).
tcf(c_178533,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_126912]) ).
tcf(c_179700,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_127039]) ).
tcf(c_179701,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_127039]) ).
tcf(c_179702,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_127039]) ).
tcf(c_179703,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_127039]) ).
tcf(c_179705,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_127039]) ).
tcf(c_179706,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_127039]) ).
tcf(c_179707,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_127039]) ).
tcf(c_179708,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_127039]) ).
tcf(c_179709,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_127039]) ).
tcf(c_179710,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_127039]) ).
tcf(c_179711,plain,
( r2_hidden(sK19(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_127039]) ).
tcf(c_179712,plain,
( r2_hidden(sK19(sK3),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_127039]) ).
tcf(c_179713,plain,
( r2_hidden(sK19(sK3),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_127039]) ).
tcf(c_179714,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_127039]) ).
tcf(c_179715,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_127039]) ).
tcf(c_179716,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_127039]) ).
tcf(c_179718,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_127039]) ).
tcf(c_179719,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_127039]) ).
tcf(c_179720,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_127039]) ).
tcf(c_179721,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_127039]) ).
tcf(c_179722,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_127039]) ).
tcf(c_179723,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_127039]) ).
tcf(c_179724,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_127039]) ).
tcf(c_179725,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_127039]) ).
tcf(c_179726,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_127039]) ).
tcf(c_179727,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_127039]) ).
tcf(c_179728,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_127039]) ).
tcf(c_179729,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_127039]) ).
tcf(c_179730,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_127039]) ).
tcf(c_179731,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_127039]) ).
tcf(c_179732,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_127039]) ).
tcf(c_179733,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_127039]) ).
tcf(c_179734,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_127039]) ).
tcf(c_179735,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_127039]) ).
tcf(c_179736,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_127039]) ).
tcf(c_179737,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_127039]) ).
tcf(c_179738,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_127039]) ).
tcf(c_179739,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_127039]) ).
tcf(c_179740,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_127039]) ).
tcf(c_179741,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_127039]) ).
tcf(c_179742,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127039]) ).
tcf(c_179743,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK19(sK3),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127039]) ).
tcf(c_179744,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_127039]) ).
tcf(c_179745,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_127039]) ).
tcf(c_179746,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK3),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_127039]) ).
tcf(c_179747,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_127039]) ).
tcf(c_179749,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_127039]) ).
tcf(c_179750,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_127039]) ).
tcf(c_179751,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_127039]) ).
tcf(c_179752,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_127039]) ).
tcf(c_179753,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_127039]) ).
tcf(c_179754,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_127039]) ).
tcf(c_179755,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_127039]) ).
tcf(c_179756,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_127039]) ).
tcf(c_179760,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_127039]) ).
tcf(c_179764,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_127039]) ).
tcf(c_179765,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_127039]) ).
tcf(c_179766,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_127039]) ).
tcf(c_179767,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_127039]) ).
tcf(c_179768,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_127039]) ).
tcf(c_179769,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_127039]) ).
tcf(c_179770,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_127039]) ).
tcf(c_179771,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_127039]) ).
tcf(c_179772,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_127039]) ).
tcf(c_179773,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_127039]) ).
tcf(c_179774,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_127039]) ).
tcf(c_179775,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_127039]) ).
tcf(c_179776,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_127039]) ).
tcf(c_179777,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_127039]) ).
tcf(c_179778,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_127039]) ).
tcf(c_179779,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_127039]) ).
tcf(c_179780,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_127039]) ).
tcf(c_179781,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_127039]) ).
tcf(c_179782,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK3),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_127039]) ).
tcf(c_179783,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_127039]) ).
tcf(c_179784,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_127039]) ).
tcf(c_179785,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_127039]) ).
tcf(c_179786,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_127039]) ).
tcf(c_179787,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_127039]) ).
tcf(c_179788,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_19,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_127039]) ).
tcf(c_179789,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_127039]) ).
tcf(c_179790,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_127039]) ).
tcf(c_179791,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_127039]) ).
tcf(c_179793,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_127039]) ).
tcf(c_179794,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_127039]) ).
tcf(c_179795,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_127039]) ).
tcf(c_179796,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_127039]) ).
tcf(c_179800,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_127039]) ).
tcf(c_179801,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_127039]) ).
tcf(c_179802,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_127039]) ).
tcf(c_179803,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_127039]) ).
tcf(c_179804,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_127039]) ).
tcf(c_179805,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_127039]) ).
tcf(c_179812,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_127039]) ).
tcf(c_179813,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_127039]) ).
tcf(c_179814,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_127039]) ).
tcf(c_179815,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_127039]) ).
tcf(c_179818,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_127039]) ).
tcf(c_179819,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_127039]) ).
tcf(c_179820,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_127039]) ).
tcf(c_179821,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_127039]) ).
tcf(c_179822,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_127039]) ).
tcf(c_179824,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_127039]) ).
tcf(c_179825,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_127039]) ).
tcf(c_179829,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_127039]) ).
tcf(c_179831,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_127039]) ).
tcf(c_179833,plain,
( r2_hidden(sK19(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_127039]) ).
tcf(c_179835,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_127039]) ).
tcf(c_179836,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_127039]) ).
tcf(c_179839,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_127039]) ).
tcf(c_179840,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK19(sK3),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_127039]) ).
tcf(c_179841,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_127039]) ).
tcf(c_179842,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_127039]) ).
tcf(c_179843,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_127039]) ).
tcf(c_179844,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_127039]) ).
tcf(c_180825,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK19(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_176635,c_1178]) ).
tcf(c_180826,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_176635,c_152]) ).
tcf(c_180827,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176635,c_61]) ).
tcf(c_180829,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK19(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176635,c_292]) ).
tcf(c_180830,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_176635,c_8259]) ).
tcf(c_180831,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_176635,c_8246]) ).
tcf(c_180879,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK25(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_177605,c_1178]) ).
tcf(c_180880,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK2),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_177605,c_152]) ).
tcf(c_180881,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177605,c_61]) ).
tcf(c_180883,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK25(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177605,c_292]) ).
tcf(c_180884,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_177605,c_8259]) ).
tcf(c_180885,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_177605,c_8246]) ).
tcf(c_180933,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK17(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_178431,c_1178]) ).
tcf(c_180934,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK17(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_178431,c_152]) ).
tcf(c_180935,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178431,c_61]) ).
tcf(c_180937,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK17(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178431,c_292]) ).
tcf(c_180938,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_178431,c_8259]) ).
tcf(c_180939,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_178431,c_8246]) ).
tcf(c_180987,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK19(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_179742,c_1178]) ).
tcf(c_180988,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK19(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_179742,c_152]) ).
tcf(c_180989,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179742,c_61]) ).
tcf(c_180991,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK19(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179742,c_292]) ).
tcf(c_180992,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_179742,c_8259]) ).
tcf(c_180993,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_179742,c_8246]) ).
tcf(c_181050,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_176354,c_72322,c_91025]) ).
tcf(c_181060,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_127266]) ).
tcf(c_181061,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_127266]) ).
tcf(c_181062,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_127266]) ).
tcf(c_181063,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_127266]) ).
tcf(c_181065,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_127266]) ).
tcf(c_181066,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_127266]) ).
tcf(c_181067,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_127266]) ).
tcf(c_181068,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_127266]) ).
tcf(c_181069,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_127266]) ).
tcf(c_181070,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_127266]) ).
tcf(c_181071,plain,
( r2_hidden(sK25(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_127266]) ).
tcf(c_181072,plain,
( r2_hidden(sK25(sK3),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_127266]) ).
tcf(c_181073,plain,
( r2_hidden(sK25(sK3),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_127266]) ).
tcf(c_181074,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_127266]) ).
tcf(c_181075,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_127266]) ).
tcf(c_181076,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_127266]) ).
tcf(c_181078,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_127266]) ).
tcf(c_181079,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_127266]) ).
tcf(c_181080,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_127266]) ).
tcf(c_181081,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_127266]) ).
tcf(c_181082,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_127266]) ).
tcf(c_181083,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_127266]) ).
tcf(c_181084,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_127266]) ).
tcf(c_181085,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_127266]) ).
tcf(c_181086,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_127266]) ).
tcf(c_181087,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_127266]) ).
tcf(c_181088,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_127266]) ).
tcf(c_181089,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_127266]) ).
tcf(c_181090,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_127266]) ).
tcf(c_181091,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_127266]) ).
tcf(c_181092,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_127266]) ).
tcf(c_181093,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_127266]) ).
tcf(c_181094,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_127266]) ).
tcf(c_181095,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_127266]) ).
tcf(c_181096,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_127266]) ).
tcf(c_181097,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_127266]) ).
tcf(c_181098,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_127266]) ).
tcf(c_181099,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_127266]) ).
tcf(c_181100,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_127266]) ).
tcf(c_181101,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_127266]) ).
tcf(c_181102,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127266]) ).
tcf(c_181103,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK25(sK3),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127266]) ).
tcf(c_181104,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_127266]) ).
tcf(c_181105,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_127266]) ).
tcf(c_181106,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK3),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_127266]) ).
tcf(c_181107,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_127266]) ).
tcf(c_181109,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_127266]) ).
tcf(c_181110,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_127266]) ).
tcf(c_181111,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_127266]) ).
tcf(c_181112,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_127266]) ).
tcf(c_181113,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_127266]) ).
tcf(c_181114,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_127266]) ).
tcf(c_181115,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_127266]) ).
tcf(c_181116,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_127266]) ).
tcf(c_181120,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_127266]) ).
tcf(c_181124,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_127266]) ).
tcf(c_181125,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_127266]) ).
tcf(c_181126,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_127266]) ).
tcf(c_181127,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_127266]) ).
tcf(c_181128,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_127266]) ).
tcf(c_181129,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_127266]) ).
tcf(c_181130,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_127266]) ).
tcf(c_181131,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_127266]) ).
tcf(c_181132,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_127266]) ).
tcf(c_181133,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_127266]) ).
tcf(c_181134,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_127266]) ).
tcf(c_181135,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_127266]) ).
tcf(c_181136,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_127266]) ).
tcf(c_181137,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_127266]) ).
tcf(c_181138,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_127266]) ).
tcf(c_181139,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_127266]) ).
tcf(c_181140,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_127266]) ).
tcf(c_181141,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_127266]) ).
tcf(c_181142,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK3),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_127266]) ).
tcf(c_181143,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_127266]) ).
tcf(c_181144,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_127266]) ).
tcf(c_181145,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_127266]) ).
tcf(c_181146,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_127266]) ).
tcf(c_181147,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_127266]) ).
tcf(c_181148,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_19,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_127266]) ).
tcf(c_181149,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_127266]) ).
tcf(c_181150,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_127266]) ).
tcf(c_181151,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_127266]) ).
tcf(c_181153,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_127266]) ).
tcf(c_181154,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_127266]) ).
tcf(c_181155,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_127266]) ).
tcf(c_181156,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_127266]) ).
tcf(c_181160,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_127266]) ).
tcf(c_181161,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_127266]) ).
tcf(c_181162,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_127266]) ).
tcf(c_181163,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_127266]) ).
tcf(c_181164,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_127266]) ).
tcf(c_181165,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_127266]) ).
tcf(c_181172,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_127266]) ).
tcf(c_181173,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_127266]) ).
tcf(c_181174,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_127266]) ).
tcf(c_181175,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_127266]) ).
tcf(c_181178,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_127266]) ).
tcf(c_181179,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_127266]) ).
tcf(c_181180,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_127266]) ).
tcf(c_181181,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_127266]) ).
tcf(c_181182,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_127266]) ).
tcf(c_181184,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_127266]) ).
tcf(c_181185,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_127266]) ).
tcf(c_181189,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_127266]) ).
tcf(c_181191,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_127266]) ).
tcf(c_181193,plain,
( r2_hidden(sK25(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_127266]) ).
tcf(c_181195,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_127266]) ).
tcf(c_181196,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_127266]) ).
tcf(c_181199,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_127266]) ).
tcf(c_181200,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK25(sK3),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_127266]) ).
tcf(c_181201,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_127266]) ).
tcf(c_181202,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_127266]) ).
tcf(c_181203,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_127266]) ).
tcf(c_181204,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_127266]) ).
tcf(c_181964,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_127374]) ).
tcf(c_181965,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_127374]) ).
tcf(c_181966,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_127374]) ).
tcf(c_181967,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_127374]) ).
tcf(c_181969,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_127374]) ).
tcf(c_181970,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_29,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_127374]) ).
tcf(c_181971,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_29,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_127374]) ).
tcf(c_181972,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_127374]) ).
tcf(c_181973,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_127374]) ).
tcf(c_181974,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_127374]) ).
tcf(c_181975,plain,
( r2_hidden(sK16(iPr_def_28),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_127374]) ).
tcf(c_181976,plain,
( r2_hidden(sK16(iPr_def_28),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_29,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_127374]) ).
tcf(c_181977,plain,
( r2_hidden(sK16(iPr_def_28),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_29,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_127374]) ).
tcf(c_181978,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_127374]) ).
tcf(c_181979,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_127374]) ).
tcf(c_181980,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_127374]) ).
tcf(c_181981,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_114677,c_127374]) ).
tcf(c_181982,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_127374]) ).
tcf(c_181983,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_127374]) ).
tcf(c_181984,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_127374]) ).
tcf(c_181985,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_127374]) ).
tcf(c_181986,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_127374]) ).
tcf(c_181987,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_127374]) ).
tcf(c_181988,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_127374]) ).
tcf(c_181989,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_127374]) ).
tcf(c_181990,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_127374]) ).
tcf(c_181991,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_127374]) ).
tcf(c_181992,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_127374]) ).
tcf(c_181993,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_127374]) ).
tcf(c_181994,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_127374]) ).
tcf(c_181995,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_127374]) ).
tcf(c_181996,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_127374]) ).
tcf(c_181997,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_127374]) ).
tcf(c_181998,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_127374]) ).
tcf(c_181999,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_127374]) ).
tcf(c_182000,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_127374]) ).
tcf(c_182001,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_127374]) ).
tcf(c_182002,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_127374]) ).
tcf(c_182003,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_127374]) ).
tcf(c_182004,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_127374]) ).
tcf(c_182005,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_127374]) ).
tcf(c_182006,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_28),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127374]) ).
tcf(c_182007,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK16(iPr_def_28),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127374]) ).
tcf(c_182008,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_127374]) ).
tcf(c_182009,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_127374]) ).
tcf(c_182010,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_28),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_127374]) ).
tcf(c_182011,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_127374]) ).
tcf(c_182012,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_127374]) ).
tcf(c_182013,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_127374]) ).
tcf(c_182017,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_127374]) ).
tcf(c_182018,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_127374]) ).
tcf(c_182019,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_127374]) ).
tcf(c_182020,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_127374]) ).
tcf(c_182021,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_127374]) ).
tcf(c_182022,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_127374]) ).
tcf(c_182023,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_127374]) ).
tcf(c_182024,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_127374]) ).
tcf(c_182025,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_127374]) ).
tcf(c_182026,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_127374]) ).
tcf(c_182027,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_127374]) ).
tcf(c_182028,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_127374]) ).
tcf(c_182029,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_127374]) ).
tcf(c_182030,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_127374]) ).
tcf(c_182031,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_127374]) ).
tcf(c_182032,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_127374]) ).
tcf(c_182033,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_127374]) ).
tcf(c_182034,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_127374]) ).
tcf(c_182035,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_127374]) ).
tcf(c_182036,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_127374]) ).
tcf(c_182037,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_127374]) ).
tcf(c_182038,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_127374]) ).
tcf(c_182039,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_127374]) ).
tcf(c_182040,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_127374]) ).
tcf(c_182041,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_127374]) ).
tcf(c_182042,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_127374]) ).
tcf(c_182043,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_127374]) ).
tcf(c_182044,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_127374]) ).
tcf(c_182045,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_127374]) ).
tcf(c_182046,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_127374]) ).
tcf(c_182047,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_127374]) ).
tcf(c_182049,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_127374]) ).
tcf(c_182050,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_127374]) ).
tcf(c_182051,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_127374]) ).
tcf(c_182052,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_29,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_127374]) ).
tcf(c_182053,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_127374]) ).
tcf(c_182054,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_127374]) ).
tcf(c_182055,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_127374]) ).
tcf(c_182056,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_127374]) ).
tcf(c_182057,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_127374]) ).
tcf(c_182058,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_127374]) ).
tcf(c_182059,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_127374]) ).
tcf(c_182060,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_127374]) ).
tcf(c_182061,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_127374]) ).
tcf(c_182062,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_127374]) ).
tcf(c_182063,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_127374]) ).
tcf(c_182064,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_127374]) ).
tcf(c_182065,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_127374]) ).
tcf(c_182066,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_127374]) ).
tcf(c_182067,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_127374]) ).
tcf(c_182068,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_127374]) ).
tcf(c_182069,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_127374]) ).
tcf(c_182070,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_127374]) ).
tcf(c_182071,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_127374]) ).
tcf(c_182072,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_127374]) ).
tcf(c_182073,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_127374]) ).
tcf(c_182074,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_127374]) ).
tcf(c_182075,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_127374]) ).
tcf(c_182078,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_127374]) ).
tcf(c_182079,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_127374]) ).
tcf(c_182080,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_127374]) ).
tcf(c_182081,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_127374]) ).
tcf(c_182082,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_127374]) ).
tcf(c_182083,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_127374]) ).
tcf(c_182086,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_127374]) ).
tcf(c_182087,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_127374]) ).
tcf(c_182090,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_127374]) ).
tcf(c_182091,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_127374]) ).
tcf(c_182092,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_127374]) ).
tcf(c_182093,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_127374]) ).
tcf(c_182094,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_127374]) ).
tcf(c_182095,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_127374]) ).
tcf(c_182096,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_127374]) ).
tcf(c_182097,plain,
( r2_hidden(sK16(iPr_def_28),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_127374]) ).
tcf(c_182098,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_127374]) ).
tcf(c_182099,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_127374]) ).
tcf(c_182100,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_127374]) ).
tcf(c_182101,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151649,c_127374]) ).
tcf(c_182102,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156169,c_127374]) ).
tcf(c_182103,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_127374]) ).
tcf(c_182104,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK16(iPr_def_28),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_127374]) ).
tcf(c_182105,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_127374]) ).
tcf(c_182106,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_127374]) ).
tcf(c_182107,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_127374]) ).
tcf(c_182108,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_127374]) ).
tcf(c_183084,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_127834]) ).
tcf(c_183085,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_127834]) ).
tcf(c_183086,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_127834]) ).
tcf(c_183087,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_127834]) ).
tcf(c_183089,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_127834]) ).
tcf(c_183090,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_127834]) ).
tcf(c_183091,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_127834]) ).
tcf(c_183092,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_127834]) ).
tcf(c_183093,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_127834]) ).
tcf(c_183094,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_127834]) ).
tcf(c_183095,plain,
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_127834]) ).
tcf(c_183096,plain,
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_127834]) ).
tcf(c_183097,plain,
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_127834]) ).
tcf(c_183098,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_127834]) ).
tcf(c_183099,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_127834]) ).
tcf(c_183100,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_127834]) ).
tcf(c_183112,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_127834]) ).
tcf(c_183113,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_127834]) ).
tcf(c_183126,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_tarski(iPr_def_27),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127834]) ).
tcf(c_183127,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(k1_tarski(iPr_def_27),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127834]) ).
tcf(c_183128,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_127834]) ).
tcf(c_183129,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_127834]) ).
tcf(c_183130,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_tarski(iPr_def_27),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_127834]) ).
tcf(c_183131,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_127834]) ).
tcf(c_183132,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_127834]) ).
tcf(c_183134,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_127834]) ).
tcf(c_183135,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_127834]) ).
tcf(c_183136,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_127834]) ).
tcf(c_183137,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_127834]) ).
tcf(c_183138,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_127834]) ).
tcf(c_183139,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_127834]) ).
tcf(c_183140,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_127834]) ).
tcf(c_183141,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_127834]) ).
tcf(c_183142,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_127834]) ).
tcf(c_183143,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_127834]) ).
tcf(c_183144,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_127834]) ).
tcf(c_183145,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_127834]) ).
tcf(c_183146,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_127834]) ).
tcf(c_183147,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_127834]) ).
tcf(c_183148,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_127834]) ).
tcf(c_183149,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_127834]) ).
tcf(c_183150,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_127834]) ).
tcf(c_183152,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_127834]) ).
tcf(c_183153,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_127834]) ).
tcf(c_183154,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_127834]) ).
tcf(c_183155,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_127834]) ).
tcf(c_183156,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_127834]) ).
tcf(c_183157,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_127834]) ).
tcf(c_183159,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_127834]) ).
tcf(c_183162,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_127834]) ).
tcf(c_183166,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_127834]) ).
tcf(c_183167,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_127834]) ).
tcf(c_183168,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_127834]) ).
tcf(c_183169,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_127834]) ).
tcf(c_183170,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_127834]) ).
tcf(c_183172,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_21,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_127834]) ).
tcf(c_183173,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_127834]) ).
tcf(c_183174,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_127834]) ).
tcf(c_183175,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_127834]) ).
tcf(c_183176,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_127834]) ).
tcf(c_183181,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_127834]) ).
tcf(c_183182,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_127834]) ).
tcf(c_183183,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_127834]) ).
tcf(c_183190,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_127834]) ).
tcf(c_183191,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_127834]) ).
tcf(c_183192,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_127834]) ).
tcf(c_183193,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_127834]) ).
tcf(c_183194,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_127834]) ).
tcf(c_183195,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_127834]) ).
tcf(c_183196,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_127834]) ).
tcf(c_183197,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_127834]) ).
tcf(c_183200,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_127834]) ).
tcf(c_183201,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_127834]) ).
tcf(c_183204,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_127834]) ).
tcf(c_183205,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_127834]) ).
tcf(c_183207,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_127834]) ).
tcf(c_183208,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_127834]) ).
tcf(c_183209,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_127834]) ).
tcf(c_183210,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_127834]) ).
tcf(c_183211,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_127834]) ).
tcf(c_183212,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_127834]) ).
tcf(c_183214,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_127834]) ).
tcf(c_183216,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_127834]) ).
tcf(c_183217,plain,
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_127834]) ).
tcf(c_183220,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_127834]) ).
tcf(c_183223,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_127834]) ).
tcf(c_183224,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_127834]) ).
tcf(c_183225,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_127834]) ).
tcf(c_183226,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_127834]) ).
tcf(c_183227,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_127834]) ).
tcf(c_183228,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_127834]) ).
tcf(c_183874,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_127904]) ).
tcf(c_183875,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_127904]) ).
tcf(c_183876,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_127904]) ).
tcf(c_183877,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_127904]) ).
tcf(c_183879,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_127904]) ).
tcf(c_183880,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_127904]) ).
tcf(c_183881,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_127904]) ).
tcf(c_183882,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_127904]) ).
tcf(c_183883,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_127904]) ).
tcf(c_183884,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_127904]) ).
tcf(c_183885,plain,
( r2_hidden(sK12(iPr_def_19),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_127904]) ).
tcf(c_183886,plain,
( r2_hidden(sK12(iPr_def_19),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_127904]) ).
tcf(c_183887,plain,
( r2_hidden(sK12(iPr_def_19),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_127904]) ).
tcf(c_183888,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_127904]) ).
tcf(c_183889,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_127904]) ).
tcf(c_183890,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_127904]) ).
tcf(c_183892,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_127904]) ).
tcf(c_183893,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_127904]) ).
tcf(c_183894,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_127904]) ).
tcf(c_183895,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_127904]) ).
tcf(c_183896,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_127904]) ).
tcf(c_183897,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_127904]) ).
tcf(c_183898,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_127904]) ).
tcf(c_183899,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_127904]) ).
tcf(c_183900,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_127904]) ).
tcf(c_183901,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_127904]) ).
tcf(c_183902,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_127904]) ).
tcf(c_183903,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_127904]) ).
tcf(c_183904,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_127904]) ).
tcf(c_183905,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_127904]) ).
tcf(c_183906,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_127904]) ).
tcf(c_183907,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_127904]) ).
tcf(c_183908,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_127904]) ).
tcf(c_183909,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_127904]) ).
tcf(c_183910,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_127904]) ).
tcf(c_183911,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_127904]) ).
tcf(c_183912,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_127904]) ).
tcf(c_183913,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_127904]) ).
tcf(c_183914,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_127904]) ).
tcf(c_183915,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_127904]) ).
tcf(c_183916,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_19),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127904]) ).
tcf(c_183917,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK12(iPr_def_19),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127904]) ).
tcf(c_183918,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_127904]) ).
tcf(c_183919,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_127904]) ).
tcf(c_183920,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_19),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_127904]) ).
tcf(c_183921,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_127904]) ).
tcf(c_183923,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_127904]) ).
tcf(c_183924,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_127904]) ).
tcf(c_183925,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_127904]) ).
tcf(c_183926,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_127904]) ).
tcf(c_183927,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_127904]) ).
tcf(c_183928,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_127904]) ).
tcf(c_183929,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_127904]) ).
tcf(c_183930,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_127904]) ).
tcf(c_183934,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_127904]) ).
tcf(c_183938,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_127904]) ).
tcf(c_183939,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_127904]) ).
tcf(c_183940,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_127904]) ).
tcf(c_183941,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_127904]) ).
tcf(c_183942,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_127904]) ).
tcf(c_183943,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_127904]) ).
tcf(c_183944,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_127904]) ).
tcf(c_183945,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_127904]) ).
tcf(c_183946,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_127904]) ).
tcf(c_183947,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_127904]) ).
tcf(c_183948,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_127904]) ).
tcf(c_183949,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_127904]) ).
tcf(c_183950,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_127904]) ).
tcf(c_183951,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_127904]) ).
tcf(c_183952,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_127904]) ).
tcf(c_183953,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_127904]) ).
tcf(c_183954,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_127904]) ).
tcf(c_183955,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_127904]) ).
tcf(c_183956,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_127904]) ).
tcf(c_183957,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_127904]) ).
tcf(c_183958,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_127904]) ).
tcf(c_183959,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_127904]) ).
tcf(c_183960,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_127904]) ).
tcf(c_183961,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_127904]) ).
tcf(c_183962,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_19,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_127904]) ).
tcf(c_183963,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_127904]) ).
tcf(c_183964,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_127904]) ).
tcf(c_183965,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_127904]) ).
tcf(c_183967,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_127904]) ).
tcf(c_183968,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_127904]) ).
tcf(c_183969,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_127904]) ).
tcf(c_183970,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_127904]) ).
tcf(c_183974,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_127904]) ).
tcf(c_183975,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_127904]) ).
tcf(c_183976,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_127904]) ).
tcf(c_183977,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_127904]) ).
tcf(c_183978,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_127904]) ).
tcf(c_183979,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_127904]) ).
tcf(c_183986,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_127904]) ).
tcf(c_183987,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_127904]) ).
tcf(c_183988,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_127904]) ).
tcf(c_183989,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_127904]) ).
tcf(c_183992,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_127904]) ).
tcf(c_183993,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_127904]) ).
tcf(c_183994,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_127904]) ).
tcf(c_183995,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_127904]) ).
tcf(c_183996,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_127904]) ).
tcf(c_183998,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_127904]) ).
tcf(c_183999,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_127904]) ).
tcf(c_184003,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_127904]) ).
tcf(c_184005,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_127904]) ).
tcf(c_184007,plain,
( r2_hidden(sK12(iPr_def_19),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_127904]) ).
tcf(c_184009,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_127904]) ).
tcf(c_184010,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_127904]) ).
tcf(c_184013,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_127904]) ).
tcf(c_184014,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_19),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_127904]) ).
tcf(c_184015,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_127904]) ).
tcf(c_184016,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_127904]) ).
tcf(c_184017,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_127904]) ).
tcf(c_184018,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_127904]) ).
tcf(c_195938,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK25(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_181102,c_1178]) ).
tcf(c_195939,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK25(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_181102,c_152]) ).
tcf(c_195940,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181102,c_61]) ).
tcf(c_195942,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK25(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181102,c_292]) ).
tcf(c_195943,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_181102,c_8259]) ).
tcf(c_195944,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_181102,c_8246]) ).
tcf(c_196020,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_182006,c_1179]) ).
tcf(c_196021,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK16(iPr_def_28),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_182006,c_1178]) ).
tcf(c_196022,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK16(iPr_def_28),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_182006,c_152]) ).
tcf(c_196023,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182006,c_61]) ).
tcf(c_196024,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_182006,c_305]) ).
tcf(c_196025,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK16(iPr_def_28),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182006,c_292]) ).
tcf(c_196026,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_182006,c_8259]) ).
tcf(c_196027,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_182006,c_8246]) ).
tcf(c_196147,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_tarski(iPr_def_27),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_183126,c_1178]) ).
tcf(c_196148,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_tarski(iPr_def_27),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_183126,c_152]) ).
tcf(c_196149,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183126,c_61]) ).
tcf(c_196151,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_tarski(iPr_def_27),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183126,c_292]) ).
tcf(c_196152,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_183126,c_8259]) ).
tcf(c_196153,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_183126,c_8246]) ).
tcf(c_196224,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK12(iPr_def_19),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_183916,c_1178]) ).
tcf(c_196225,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_19),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_183916,c_152]) ).
tcf(c_196226,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183916,c_61]) ).
tcf(c_196228,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK12(iPr_def_19),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183916,c_292]) ).
tcf(c_196229,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_183916,c_8259]) ).
tcf(c_196230,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_183916,c_8246]) ).
tcf(c_196301,plain,
r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18),
inference(global_subsumption_just,[status(thm)],[c_176359,c_72327,c_91025]) ).
tcf(c_196304,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196301,c_1178]) ).
tcf(c_196305,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196301,c_152]) ).
tcf(c_196308,plain,
m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18),
inference(superposition,[status(thm)],[c_196301,c_292]) ).
tcf(c_196309,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196301,c_8259]) ).
tcf(c_196310,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196301,c_8246]) ).
tcf(c_196315,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_196310,c_172147,c_172148]) ).
tcf(c_196316,plain,
k5_subset_1(iPr_def_20,iPr_def_18,k2_tex_4(sK2,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_196315,c_116663,c_8268]) ).
tcf(c_196317,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))) = k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) )
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_196309,c_119983]) ).
tcf(c_196331,plain,
k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_196308,c_116034]) ).
tcf(c_196332,plain,
k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_196308,c_115761]) ).
tcf(c_196380,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_128063]) ).
tcf(c_196381,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_128063]) ).
tcf(c_196382,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_128063]) ).
tcf(c_196383,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_128063]) ).
tcf(c_196385,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_128063]) ).
tcf(c_196386,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_128063]) ).
tcf(c_196387,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_21,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_128063]) ).
tcf(c_196388,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_128063]) ).
tcf(c_196389,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_128063]) ).
tcf(c_196390,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_128063]) ).
tcf(c_196391,plain,
( r2_hidden(sK12(iPr_def_21),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_128063]) ).
tcf(c_196392,plain,
( r2_hidden(sK12(iPr_def_21),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_128063]) ).
tcf(c_196393,plain,
( r2_hidden(sK12(iPr_def_21),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_21,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_128063]) ).
tcf(c_196394,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_128063]) ).
tcf(c_196395,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_128063]) ).
tcf(c_196396,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_128063]) ).
tcf(c_196408,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_128063]) ).
tcf(c_196409,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_128063]) ).
tcf(c_196422,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_21),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_128063]) ).
tcf(c_196423,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK12(iPr_def_21),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_128063]) ).
tcf(c_196424,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_128063]) ).
tcf(c_196425,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_128063]) ).
tcf(c_196426,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_21),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_128063]) ).
tcf(c_196427,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_128063]) ).
tcf(c_196428,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_128063]) ).
tcf(c_196430,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_128063]) ).
tcf(c_196431,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_128063]) ).
tcf(c_196432,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_128063]) ).
tcf(c_196433,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_128063]) ).
tcf(c_196434,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_128063]) ).
tcf(c_196435,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_128063]) ).
tcf(c_196436,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_128063]) ).
tcf(c_196437,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_128063]) ).
tcf(c_196438,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_128063]) ).
tcf(c_196439,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_128063]) ).
tcf(c_196440,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_128063]) ).
tcf(c_196441,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_128063]) ).
tcf(c_196442,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_128063]) ).
tcf(c_196443,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_128063]) ).
tcf(c_196444,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_128063]) ).
tcf(c_196445,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_128063]) ).
tcf(c_196446,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_128063]) ).
tcf(c_196448,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_128063]) ).
tcf(c_196449,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_128063]) ).
tcf(c_196450,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_128063]) ).
tcf(c_196451,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_128063]) ).
tcf(c_196452,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_128063]) ).
tcf(c_196453,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_128063]) ).
tcf(c_196455,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_128063]) ).
tcf(c_196458,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_128063]) ).
tcf(c_196462,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_128063]) ).
tcf(c_196463,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_128063]) ).
tcf(c_196464,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_128063]) ).
tcf(c_196465,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_21,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_128063]) ).
tcf(c_196466,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_128063]) ).
tcf(c_196468,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_21,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_128063]) ).
tcf(c_196469,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_128063]) ).
tcf(c_196470,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_128063]) ).
tcf(c_196471,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_128063]) ).
tcf(c_196472,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_128063]) ).
tcf(c_196477,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_128063]) ).
tcf(c_196478,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_128063]) ).
tcf(c_196479,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_128063]) ).
tcf(c_196486,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_128063]) ).
tcf(c_196487,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_128063]) ).
tcf(c_196488,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_128063]) ).
tcf(c_196489,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_128063]) ).
tcf(c_196490,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_128063]) ).
tcf(c_196491,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_128063]) ).
tcf(c_196492,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_128063]) ).
tcf(c_196493,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_128063]) ).
tcf(c_196496,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_128063]) ).
tcf(c_196497,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_128063]) ).
tcf(c_196500,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_128063]) ).
tcf(c_196501,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_128063]) ).
tcf(c_196503,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_128063]) ).
tcf(c_196504,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_128063]) ).
tcf(c_196505,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_128063]) ).
tcf(c_196506,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_128063]) ).
tcf(c_196507,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_128063]) ).
tcf(c_196508,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_128063]) ).
tcf(c_196510,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_128063]) ).
tcf(c_196512,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_128063]) ).
tcf(c_196513,plain,
( r2_hidden(sK12(iPr_def_21),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_128063]) ).
tcf(c_196516,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_128063]) ).
tcf(c_196519,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_128063]) ).
tcf(c_196520,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_21),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_128063]) ).
tcf(c_196521,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_128063]) ).
tcf(c_196522,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_128063]) ).
tcf(c_196523,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_128063]) ).
tcf(c_196524,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_128063]) ).
tcf(c_197305,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_128179]) ).
tcf(c_197306,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_128179]) ).
tcf(c_197307,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_128179]) ).
tcf(c_197308,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_128179]) ).
tcf(c_197310,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_128179]) ).
tcf(c_197311,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_29,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_128179]) ).
tcf(c_197312,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_29,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_128179]) ).
tcf(c_197313,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_128179]) ).
tcf(c_197314,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_128179]) ).
tcf(c_197315,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_128179]) ).
tcf(c_197316,plain,
( r2_hidden(sK12(iPr_def_29),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_128179]) ).
tcf(c_197317,plain,
( r2_hidden(sK12(iPr_def_29),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_29,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_128179]) ).
tcf(c_197318,plain,
( r2_hidden(sK12(iPr_def_29),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_29,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_128179]) ).
tcf(c_197319,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_128179]) ).
tcf(c_197320,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_128179]) ).
tcf(c_197321,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_128179]) ).
tcf(c_197322,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_114677,c_128179]) ).
tcf(c_197323,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_128179]) ).
tcf(c_197324,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_128179]) ).
tcf(c_197325,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_128179]) ).
tcf(c_197326,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_128179]) ).
tcf(c_197327,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_128179]) ).
tcf(c_197328,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_128179]) ).
tcf(c_197329,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_128179]) ).
tcf(c_197330,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_128179]) ).
tcf(c_197331,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_128179]) ).
tcf(c_197332,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_128179]) ).
tcf(c_197333,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_128179]) ).
tcf(c_197334,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_128179]) ).
tcf(c_197335,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_128179]) ).
tcf(c_197336,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_128179]) ).
tcf(c_197337,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_128179]) ).
tcf(c_197338,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_128179]) ).
tcf(c_197339,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_128179]) ).
tcf(c_197340,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_128179]) ).
tcf(c_197341,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_128179]) ).
tcf(c_197342,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_128179]) ).
tcf(c_197343,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_128179]) ).
tcf(c_197344,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_128179]) ).
tcf(c_197345,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_128179]) ).
tcf(c_197346,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_128179]) ).
tcf(c_197347,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_29),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_128179]) ).
tcf(c_197348,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(sK12(iPr_def_29),sK7(sK3,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_128179]) ).
tcf(c_197349,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_128179]) ).
tcf(c_197350,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_128179]) ).
tcf(c_197351,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_29),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_128179]) ).
tcf(c_197352,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_128179]) ).
tcf(c_197353,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114712,c_128179]) ).
tcf(c_197354,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_128179]) ).
tcf(c_197358,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_128179]) ).
tcf(c_197359,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_128179]) ).
tcf(c_197360,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_128179]) ).
tcf(c_197361,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_128179]) ).
tcf(c_197362,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121394,c_128179]) ).
tcf(c_197363,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_121400,c_128179]) ).
tcf(c_197364,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_121401,c_128179]) ).
tcf(c_197365,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_128179]) ).
tcf(c_197366,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_121403,c_128179]) ).
tcf(c_197367,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_121404,c_128179]) ).
tcf(c_197368,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_121405,c_128179]) ).
tcf(c_197369,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_128179]) ).
tcf(c_197370,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_128179]) ).
tcf(c_197371,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_128179]) ).
tcf(c_197372,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_128179]) ).
tcf(c_197373,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_128179]) ).
tcf(c_197374,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_128179]) ).
tcf(c_197375,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_128179]) ).
tcf(c_197376,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_128179]) ).
tcf(c_197377,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_128179]) ).
tcf(c_197378,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_128179]) ).
tcf(c_197379,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_128179]) ).
tcf(c_197380,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_128179]) ).
tcf(c_197381,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_128179]) ).
tcf(c_197382,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_128179]) ).
tcf(c_197383,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_128179]) ).
tcf(c_197384,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_128179]) ).
tcf(c_197385,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_128179]) ).
tcf(c_197386,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_128179]) ).
tcf(c_197387,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_128179]) ).
tcf(c_197388,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_128179]) ).
tcf(c_197390,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_29,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_128179]) ).
tcf(c_197391,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_128179]) ).
tcf(c_197392,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_128179]) ).
tcf(c_197393,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_29,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_128179]) ).
tcf(c_197394,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_128179]) ).
tcf(c_197395,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_128179]) ).
tcf(c_197396,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_128179]) ).
tcf(c_197397,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_126296,c_128179]) ).
tcf(c_197398,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_128179]) ).
tcf(c_197399,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_128179]) ).
tcf(c_197400,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_128179]) ).
tcf(c_197401,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_128179]) ).
tcf(c_197402,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_151014,c_128179]) ).
tcf(c_197403,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128650,c_128179]) ).
tcf(c_197404,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_128663,c_128179]) ).
tcf(c_197405,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_128179]) ).
tcf(c_197406,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_128179]) ).
tcf(c_197407,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_128179]) ).
tcf(c_197408,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_128179]) ).
tcf(c_197409,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_128179]) ).
tcf(c_197410,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_128179]) ).
tcf(c_197411,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129415,c_128179]) ).
tcf(c_197412,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_129428,c_128179]) ).
tcf(c_197413,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129615,c_128179]) ).
tcf(c_197414,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_129628,c_128179]) ).
tcf(c_197415,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129751,c_128179]) ).
tcf(c_197416,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_129764,c_128179]) ).
tcf(c_197419,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_128179]) ).
tcf(c_197420,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_128179]) ).
tcf(c_197421,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130232,c_128179]) ).
tcf(c_197422,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_130245,c_128179]) ).
tcf(c_197423,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_128179]) ).
tcf(c_197424,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_128179]) ).
tcf(c_197427,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_128179]) ).
tcf(c_197428,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_131125,c_128179]) ).
tcf(c_197431,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_139563,c_128179]) ).
tcf(c_197432,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_139717,c_128179]) ).
tcf(c_197433,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_139941,c_128179]) ).
tcf(c_197434,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_128179]) ).
tcf(c_197435,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_140811,c_128179]) ).
tcf(c_197436,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_128179]) ).
tcf(c_197437,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_142091,c_128179]) ).
tcf(c_197438,plain,
( r2_hidden(sK12(iPr_def_29),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_128179]) ).
tcf(c_197439,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_145140,c_128179]) ).
tcf(c_197440,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_128179]) ).
tcf(c_197441,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_128179]) ).
tcf(c_197442,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_151649,c_128179]) ).
tcf(c_197443,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156169,c_128179]) ).
tcf(c_197444,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_128179]) ).
tcf(c_197445,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK12(iPr_def_29),X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_128179]) ).
tcf(c_197446,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_128179]) ).
tcf(c_197447,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_128179]) ).
tcf(c_197448,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_128179]) ).
tcf(c_197449,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_128179]) ).
tcf(c_198423,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(k1_xboole_0)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_219,c_143352]) ).
tcf(c_198424,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(sK22(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_255,c_143352]) ).
tcf(c_198426,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164158,c_143352]) ).
tcf(c_198427,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164107,c_143352]) ).
tcf(c_198428,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164094,c_143352]) ).
tcf(c_198429,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK10(sK2)))) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK10(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164086,c_143352]) ).
tcf(c_198430,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164153,c_143352]) ).
tcf(c_198431,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164103,c_143352]) ).
tcf(c_198432,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164090,c_143352]) ).
tcf(c_198433,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(u1_struct_0(sK14(sK2)))) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK12(u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK12(u1_struct_0(sK14(sK2)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164082,c_143352]) ).
tcf(c_198434,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK17(sK2))) = X0 )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164148,c_143352]) ).
tcf(c_198435,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK17(sK2))) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164078,c_143352]) ).
tcf(c_198436,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK17(sK2))) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164060,c_143352]) ).
tcf(c_198437,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK17(sK2))) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK12(sK17(sK2)))) = k1_struct_0(sK2,sK12(sK17(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164048,c_143352]) ).
tcf(c_198438,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK19(sK2))) = X0 )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164143,c_143352]) ).
tcf(c_198439,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK19(sK2))) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164074,c_143352]) ).
tcf(c_198440,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK19(sK2))) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164056,c_143352]) ).
tcf(c_198441,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK19(sK2))) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK12(sK19(sK2)))) = k1_struct_0(sK2,sK12(sK19(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164044,c_143352]) ).
tcf(c_198442,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK25(sK2))) = X0 )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164138,c_143352]) ).
tcf(c_198443,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK25(sK2))) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164070,c_143352]) ).
tcf(c_198444,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK25(sK2))) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164052,c_143352]) ).
tcf(c_198445,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK25(sK2))) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK12(sK25(sK2)))) = k1_struct_0(sK2,sK12(sK25(sK2))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_164040,c_143352]) ).
tcf(c_198446,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK12(k1_zfmisc_1(sK7(sK2,X0))) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_143352]) ).
tcf(c_198447,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(sK12(k1_zfmisc_1(X0)))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_142848,c_143352]) ).
tcf(c_198746,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK12(iPr_def_21),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_196422,c_1178]) ).
tcf(c_198747,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_21),X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_196422,c_152]) ).
tcf(c_198748,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196422,c_61]) ).
tcf(c_198750,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK12(iPr_def_21),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196422,c_292]) ).
tcf(c_198751,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_196422,c_8259]) ).
tcf(c_198752,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_196422,c_8246]) ).
tcf(c_198836,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK12(iPr_def_29),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_197347,c_1178]) ).
tcf(c_198837,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(sK12(iPr_def_29),X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_197347,c_152]) ).
tcf(c_198838,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197347,c_61]) ).
tcf(c_198840,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(sK12(iPr_def_29),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197347,c_292]) ).
tcf(c_198841,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_197347,c_8259]) ).
tcf(c_198842,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_197347,c_8246]) ).
tcf(c_198910,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_148075,c_1179]) ).
tcf(c_198911,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_148075,c_1178]) ).
tcf(c_198912,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_tarski(sK12(u1_struct_0(sK20))),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_148075,c_152]) ).
tcf(c_198913,plain,
! [X0: $i] :
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0)
| ~ r2_hidden(X0,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_148075,c_61]) ).
tcf(c_198916,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(sK12(u1_struct_0(sK20))))) = k1_struct_0(sK3,k1_tarski(sK12(u1_struct_0(sK20)))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_148075,c_8259]) ).
tcf(c_198917,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(sK12(u1_struct_0(sK20))))) = k1_struct_0(sK2,k1_tarski(sK12(u1_struct_0(sK20)))) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_148075,c_8246]) ).
tcf(c_198918,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,k1_tarski(sK12(u1_struct_0(sK20)))) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_18)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_148075,c_8258]) ).
tcf(c_198919,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,k1_tarski(sK12(u1_struct_0(sK20)))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_148075,c_8245]) ).
tcf(c_198920,plain,
( v1_tsp_1(k1_tarski(sK12(u1_struct_0(sK20))),sK3)
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_19)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK5(sK3,k1_tarski(sK12(u1_struct_0(sK20))))) ),
inference(superposition,[status(thm)],[c_148075,c_114471]) ).
tcf(c_198921,plain,
( v1_tsp_1(k1_tarski(sK12(u1_struct_0(sK20))),sK2)
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_21)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK5(sK2,k1_tarski(sK12(u1_struct_0(sK20))))) ),
inference(superposition,[status(thm)],[c_148075,c_114472]) ).
tcf(c_198922,plain,
! [X0: $i] :
( r1_tarski(k1_tarski(sK12(u1_struct_0(sK20))),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK6(k1_tarski(sK12(u1_struct_0(sK20))),X0)) ),
inference(superposition,[status(thm)],[c_148075,c_114497]) ).
tcf(c_198923,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_148075,c_149729]) ).
tcf(c_198924,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_148075,c_149891]) ).
tcf(c_198925,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_148075,c_115529]) ).
tcf(c_198927,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_148075,c_128064]) ).
tcf(c_198928,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_148075,c_127905]) ).
tcf(c_198929,plain,
( v1_xboole_0(k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK12(k1_tarski(sK12(u1_struct_0(sK20))))) ),
inference(superposition,[status(thm)],[c_148075,c_119169]) ).
tcf(c_198930,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_148075,c_125883]) ).
tcf(c_198931,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_148075,c_125947]) ).
tcf(c_198932,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_148075,c_126685]) ).
tcf(c_198933,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_148075,c_126762]) ).
tcf(c_198934,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_148075,c_126825]) ).
tcf(c_198935,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_148075,c_126913]) ).
tcf(c_198936,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_148075,c_127040]) ).
tcf(c_198937,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_148075,c_127267]) ).
tcf(c_198938,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_148075,c_127375]) ).
tcf(c_198939,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_148075,c_127835]) ).
tcf(c_198940,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_148075,c_128180]) ).
tcf(c_198941,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_148075,c_131210]) ).
tcf(c_198942,plain,
( ~ r1_tarski(iPr_def_29,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_148075,c_131277]) ).
tcf(c_198943,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK12(X0)) ),
inference(superposition,[status(thm)],[c_148075,c_142563]) ).
tcf(c_198944,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_148075,c_131380]) ).
tcf(c_198945,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_148075,c_131637]) ).
tcf(c_198946,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_148075,c_131706]) ).
tcf(c_198947,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_148075,c_131771]) ).
tcf(c_198948,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_148075,c_134036]) ).
tcf(c_198949,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_148075,c_135483]) ).
tcf(c_198950,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_148075,c_137610]) ).
tcf(c_198951,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_148075,c_137793]) ).
tcf(c_198952,plain,
( ~ r1_tarski(iPr_def_18,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_148075,c_144958]) ).
tcf(c_198953,plain,
( ~ r1_tarski(iPr_def_18,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_148075,c_151171]) ).
tcf(c_198954,plain,
( ~ r1_tarski(iPr_def_21,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_148075,c_156248]) ).
tcf(c_198955,plain,
( ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20))))
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_148075,c_154067]) ).
tcf(c_199009,plain,
~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),sK12(k1_tarski(sK12(u1_struct_0(sK20))))),
inference(forward_subsumption_resolution,[status(thm)],[c_198929,c_191]) ).
tcf(c_199272,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| r1_tarski(sK6(X0,X2),X1)
| ~ r1_tarski(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_151673,c_301]) ).
tcf(c_199273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1_tarski(X0,X1)
| ( sK6(X0,X1) = X3 )
| ~ l1_pre_topc(X2)
| ~ v1_tsp_2(X3,X2)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X3,sK6(X0,X1))
| ~ v1_tsp_1(sK6(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_151673,c_158]) ).
tcf(c_199274,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| v1_tsp_2(sK6(X0,X1),X2)
| r1_tarski(sK6(X0,X1),sK7(X2,sK6(X0,X1)))
| ~ l1_pre_topc(X2)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_1(sK6(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_151673,c_155]) ).
tcf(c_199275,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| v1_tsp_2(sK6(X0,X1),X2)
| v1_tsp_1(sK7(X2,sK6(X0,X1)),X2)
| ~ l1_pre_topc(X2)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_1(sK6(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_151673,c_154]) ).
tcf(c_199276,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),X2)
| ~ l1_pre_topc(X2)
| ~ r1_tarski(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(sK6(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_151673,c_157]) ).
tcf(c_199277,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k1_struct_0(sK20,sK6(X0,X1)) = k1_tarski(sK6(X0,X1)) )
| ~ r1_tarski(X0,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_151673,c_6743]) ).
tcf(c_199278,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK6(X0,X1))) = k1_funct_1(sK4,sK5(sK2,sK6(X0,X1))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151673,c_116416]) ).
tcf(c_199279,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK6(X0,X1))) = k2_tex_4(sK2,sK5(sK2,sK6(X0,X1))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151673,c_116010]) ).
tcf(c_199280,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK6(X0,X1),iPr_def_20)
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151673,c_114679]) ).
tcf(c_199281,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK6(X0,X1))) = k1_tarski(sK5(sK2,sK6(X0,X1))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151673,c_115716]) ).
tcf(c_199282,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK2)
| ~ r1_tarski(X0,iPr_def_21)
| ~ v1_tsp_2(sK6(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_151673,c_116313]) ).
tcf(c_199283,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK6(X0,X1))))) = k2_tex_4(sK2,sK5(sK2,sK6(X0,X1))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK6(X0,X1))),k4_tex_4(sK2,sK5(sK2,sK6(X0,X1)))) = k1_struct_0(sK2,sK5(sK2,sK6(X0,X1))) )
| ~ r1_tarski(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_151673,c_114117]) ).
tcf(c_199284,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK6(X0,X1)) = k1_funct_1(sK4,sK6(X0,X1)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151673,c_116408]) ).
tcf(c_199285,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k4_tex_4(sK2,sK6(X0,X1)) = k2_tex_4(sK2,sK6(X0,X1)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151673,c_116002]) ).
tcf(c_199286,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k1_struct_0(sK2,sK6(X0,X1)) = k1_tarski(sK6(X0,X1)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151673,c_115708]) ).
tcf(c_199287,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK6(X0,X1)))) = k2_tex_4(sK2,sK6(X0,X1)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK6(X0,X1)),k4_tex_4(sK2,sK6(X0,X1))) = k1_struct_0(sK2,sK6(X0,X1)) )
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_151673,c_114071]) ).
tcf(c_199288,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK6(X0,X1))) = k2_tex_4(sK3,sK5(sK3,sK6(X0,X1))) )
| ~ r1_tarski(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151673,c_116042]) ).
tcf(c_199289,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK6(X0,X1))) = k1_tarski(sK5(sK3,sK6(X0,X1))) )
| ~ r1_tarski(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151673,c_115769]) ).
tcf(c_199290,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK6(X0,X1),iPr_def_18)
| ~ r1_tarski(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_151673,c_114678]) ).
tcf(c_199291,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| v1_tsp_1(sK6(X0,X1),sK3)
| ~ r1_tarski(X0,iPr_def_19)
| ~ v1_tsp_2(sK6(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_151673,c_116308]) ).
tcf(c_199292,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k4_tex_4(sK3,sK6(X0,X1)) = k2_tex_4(sK3,sK6(X0,X1)) )
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_151673,c_116034]) ).
tcf(c_199293,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k1_struct_0(sK3,sK6(X0,X1)) = k1_tarski(sK6(X0,X1)) )
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_151673,c_115761]) ).
tcf(c_199294,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r1_tarski(sK6(X0,X1),iPr_def_28)
| ~ r1_tarski(X0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_151673,c_114680]) ).
tcf(c_199738,plain,
! [X0: $i] :
( ( sK22(sK14(sK2)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8273,c_154681]) ).
tcf(c_199739,plain,
! [X0: $i] :
( ( sK22(sK14(sK8)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_169,c_154681]) ).
tcf(c_199740,plain,
! [X0: $i] :
( ( sK22(sK14(sK3)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8269,c_154681]) ).
tcf(c_199741,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK14(sK14(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_154681]) ).
tcf(c_199742,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK14(sK10(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_154681]) ).
tcf(c_199763,plain,
! [X0: $i] :
( ( sK22(sK10(sK2)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8273,c_154682]) ).
tcf(c_199764,plain,
! [X0: $i] :
( ( sK22(sK10(sK8)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_169,c_154682]) ).
tcf(c_199765,plain,
! [X0: $i] :
( ( sK22(sK10(sK3)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8269,c_154682]) ).
tcf(c_199766,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK10(sK14(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_154682]) ).
tcf(c_199767,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK10(sK10(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_154682]) ).
tcf(c_200468,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))))) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) = k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) ) ),
inference(light_normalisation,[status(thm)],[c_151458,c_151414,c_151418]) ).
tcf(c_200479,plain,
sK22(sK14(sK14(sK14(sK14(sK2))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_157939]) ).
tcf(c_200480,plain,
sK22(sK14(sK14(sK14(sK14(sK8))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_157939]) ).
tcf(c_200481,plain,
sK22(sK14(sK14(sK14(sK14(sK3))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_157939]) ).
tcf(c_200482,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK14(sK14(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_157939]) ).
tcf(c_200483,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK14(sK10(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_157939]) ).
tcf(c_200491,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK14(sK2))))),sK14(sK14(sK14(sK14(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK14(sK2))))) ),
inference(superposition,[status(thm)],[c_200479,c_116277]) ).
tcf(c_200492,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2)))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2)))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_200479,c_130886]) ).
tcf(c_200493,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2))))) ),
inference(superposition,[status(thm)],[c_200479,c_114892]) ).
tcf(c_200494,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK2))))) = sK22(sK14(sK14(sK14(sK14(sK2))))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2))))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK14(sK2))))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2))))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_200479,c_124845]) ).
tcf(c_200495,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK14(sK2))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2))))) ),
inference(superposition,[status(thm)],[c_200479,c_114795]) ).
tcf(c_200496,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2))))) ),
inference(superposition,[status(thm)],[c_200479,c_254]) ).
tcf(c_200498,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK14(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK14(sK2))))) ),
inference(light_normalisation,[status(thm)],[c_200491,c_200479]) ).
tcf(c_200502,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK2))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2))))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_200494,c_200479]) ).
tcf(c_200503,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK2))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK2)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK2))))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200502,c_114344]) ).
tcf(c_200509,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK14(sK8))))),sK14(sK14(sK14(sK14(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK14(sK8))))) ),
inference(superposition,[status(thm)],[c_200480,c_116277]) ).
tcf(c_200510,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8)))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8)))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_200480,c_130886]) ).
tcf(c_200511,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8))))) ),
inference(superposition,[status(thm)],[c_200480,c_114892]) ).
tcf(c_200512,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK8))))) = sK22(sK14(sK14(sK14(sK14(sK8))))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8))))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK14(sK8))))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8))))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_200480,c_124845]) ).
tcf(c_200513,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK14(sK8))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8))))) ),
inference(superposition,[status(thm)],[c_200480,c_114795]) ).
tcf(c_200514,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8))))) ),
inference(superposition,[status(thm)],[c_200480,c_254]) ).
tcf(c_200516,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK14(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK14(sK8))))) ),
inference(light_normalisation,[status(thm)],[c_200509,c_200480]) ).
tcf(c_200520,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK8))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8))))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_200512,c_200480]) ).
tcf(c_200521,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK8))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK8)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK8))))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200520,c_114344]) ).
tcf(c_200545,plain,
sK22(sK14(sK14(sK14(sK10(sK2))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8273,c_157940]) ).
tcf(c_200546,plain,
sK22(sK14(sK14(sK14(sK10(sK8))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_169,c_157940]) ).
tcf(c_200547,plain,
sK22(sK14(sK14(sK14(sK10(sK3))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8269,c_157940]) ).
tcf(c_200548,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK10(sK14(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6695,c_157940]) ).
tcf(c_200549,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK10(sK10(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6699,c_157940]) ).
tcf(c_200992,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173077,c_1179]) ).
tcf(c_200993,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173077,c_1178]) ).
tcf(c_200994,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173077,c_152]) ).
tcf(c_200995,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173077,c_61]) ).
tcf(c_200997,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_173077,c_292]) ).
tcf(c_200998,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173077,c_8259]) ).
tcf(c_200999,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173077,c_8246]) ).
tcf(c_201013,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200999,c_116663,c_8268]) ).
tcf(c_201016,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200998,c_119983]) ).
tcf(c_201069,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK10(sK2))))),sK14(sK14(sK14(sK10(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK10(sK2))))) ),
inference(superposition,[status(thm)],[c_200545,c_116277]) ).
tcf(c_201070,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2)))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2)))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_200545,c_130886]) ).
tcf(c_201071,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2))))) ),
inference(superposition,[status(thm)],[c_200545,c_114892]) ).
tcf(c_201072,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK2))))) = sK22(sK14(sK14(sK14(sK10(sK2))))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2))))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK10(sK2))))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2))))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_200545,c_124845]) ).
tcf(c_201073,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK10(sK2))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2))))) ),
inference(superposition,[status(thm)],[c_200545,c_114795]) ).
tcf(c_201074,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2))))) ),
inference(superposition,[status(thm)],[c_200545,c_254]) ).
tcf(c_201076,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK10(sK2)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK10(sK2))))) ),
inference(light_normalisation,[status(thm)],[c_201069,c_200545]) ).
tcf(c_201080,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK2))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2))))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_201072,c_200545]) ).
tcf(c_201081,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK2))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK2)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK2))))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201080,c_114344]) ).
tcf(c_201092,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK14(sK3))))),sK14(sK14(sK14(sK14(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK14(sK3))))) ),
inference(superposition,[status(thm)],[c_200481,c_116277]) ).
tcf(c_201093,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3)))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3)))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_200481,c_130886]) ).
tcf(c_201094,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3))))) ),
inference(superposition,[status(thm)],[c_200481,c_114892]) ).
tcf(c_201095,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK3))))) = sK22(sK14(sK14(sK14(sK14(sK3))))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3))))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK14(sK3))))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3))))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_200481,c_124845]) ).
tcf(c_201096,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK14(sK3))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3))))) ),
inference(superposition,[status(thm)],[c_200481,c_114795]) ).
tcf(c_201097,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3))))) ),
inference(superposition,[status(thm)],[c_200481,c_254]) ).
tcf(c_201099,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK14(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK14(sK3))))) ),
inference(light_normalisation,[status(thm)],[c_201092,c_200481]) ).
tcf(c_201103,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK3))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3))))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_201095,c_200481]) ).
tcf(c_201104,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK14(sK3))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK14(sK3)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK14(sK3))))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201103,c_114344]) ).
tcf(c_201110,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK10(sK3))))),sK14(sK14(sK14(sK10(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK10(sK3))))) ),
inference(superposition,[status(thm)],[c_200547,c_116277]) ).
tcf(c_201111,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3)))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3)))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_200547,c_130886]) ).
tcf(c_201112,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3))))) ),
inference(superposition,[status(thm)],[c_200547,c_114892]) ).
tcf(c_201113,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK3))))) = sK22(sK14(sK14(sK14(sK10(sK3))))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3))))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK10(sK3))))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3))))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_200547,c_124845]) ).
tcf(c_201114,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK10(sK3))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3))))) ),
inference(superposition,[status(thm)],[c_200547,c_114795]) ).
tcf(c_201115,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3))))) ),
inference(superposition,[status(thm)],[c_200547,c_254]) ).
tcf(c_201117,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK10(sK3)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK10(sK3))))) ),
inference(light_normalisation,[status(thm)],[c_201110,c_200547]) ).
tcf(c_201121,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK3))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3))))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_201113,c_200547]) ).
tcf(c_201122,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK3))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK3)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK3))))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201121,c_114344]) ).
tcf(c_201138,plain,
( ( k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k4_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_159973,c_132427]) ).
tcf(c_201139,plain,
( r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_159973,c_121406]) ).
tcf(c_201140,plain,
( ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_159973,c_124185]) ).
tcf(c_201141,plain,
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_159973,c_115986]) ).
tcf(c_201142,plain,
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_159973,c_115978]) ).
tcf(c_201143,plain,
( ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_159973,c_115087]) ).
tcf(c_201144,plain,
~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_201143,c_159671]) ).
tcf(c_201145,plain,
m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_201142,c_159671]) ).
tcf(c_201146,plain,
r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_201141,c_159671]) ).
tcf(c_201147,plain,
r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_201139,c_159671]) ).
tcf(c_201148,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_201140,c_159671]) ).
tcf(c_201149,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_201138,c_159973]) ).
tcf(c_201150,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201149,c_159671]) ).
tcf(c_201205,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_200997,c_116034]) ).
tcf(c_201206,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_200997,c_115761]) ).
tcf(c_201211,plain,
( v1_tsp_1(sK22(sK14(sK14(sK14(sK10(sK8))))),sK14(sK14(sK14(sK10(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK10(sK8))))) ),
inference(superposition,[status(thm)],[c_200546,c_116277]) ).
tcf(c_201212,plain,
( ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8)))))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8)))))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_200546,c_130886]) ).
tcf(c_201213,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8))))) ),
inference(superposition,[status(thm)],[c_200546,c_114892]) ).
tcf(c_201214,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK8))))) = sK22(sK14(sK14(sK14(sK10(sK8))))) )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8))))),sK2)
| ~ m1_subset_1(sK22(sK14(sK14(sK14(sK10(sK8))))),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8))))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_200546,c_124845]) ).
tcf(c_201215,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK14(sK10(sK8))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8))))) ),
inference(superposition,[status(thm)],[c_200546,c_114795]) ).
tcf(c_201216,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8)))))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8))))) ),
inference(superposition,[status(thm)],[c_200546,c_254]) ).
tcf(c_201218,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK14(sK14(sK10(sK8)))))
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8)))))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK14(sK14(sK10(sK8))))) ),
inference(light_normalisation,[status(thm)],[c_201211,c_200546]) ).
tcf(c_201222,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK8))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8))))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_201214,c_200546]) ).
tcf(c_201223,plain,
( ( u1_struct_0(sK14(sK14(sK14(sK10(sK8))))) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ l1_pre_topc(sK14(sK14(sK14(sK10(sK8)))))
| ~ v1_tsp_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8))))),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK14(sK14(sK10(sK8))))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201222,c_114344]) ).
tcf(c_201237,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173078,c_1179]) ).
tcf(c_201238,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173078,c_1178]) ).
tcf(c_201239,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173078,c_152]) ).
tcf(c_201240,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173078,c_61]) ).
tcf(c_201242,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_173078,c_292]) ).
tcf(c_201243,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173078,c_8259]) ).
tcf(c_201244,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173078,c_8246]) ).
tcf(c_201258,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201244,c_116663,c_8268]) ).
tcf(c_201261,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201243,c_119983]) ).
tcf(c_201269,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173079,c_1179]) ).
tcf(c_201270,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173079,c_1178]) ).
tcf(c_201271,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173079,c_152]) ).
tcf(c_201272,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173079,c_61]) ).
tcf(c_201274,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_173079,c_292]) ).
tcf(c_201275,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173079,c_8259]) ).
tcf(c_201276,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173079,c_8246]) ).
tcf(c_201290,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201276,c_116663,c_8268]) ).
tcf(c_201293,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201275,c_119983]) ).
tcf(c_201368,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173090,c_1179]) ).
tcf(c_201369,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173090,c_1178]) ).
tcf(c_201370,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_173090,c_152]) ).
tcf(c_201371,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173090,c_61]) ).
tcf(c_201373,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_173090,c_292]) ).
tcf(c_201374,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173090,c_8259]) ).
tcf(c_201375,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173090,c_8246]) ).
tcf(c_201389,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201375,c_116663,c_8268]) ).
tcf(c_201392,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201374,c_119983]) ).
tcf(c_201451,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173092,c_1179]) ).
tcf(c_201452,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173092,c_1178]) ).
tcf(c_201453,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173092,c_152]) ).
tcf(c_201454,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173092,c_61]) ).
tcf(c_201456,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_173092,c_292]) ).
tcf(c_201457,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173092,c_8259]) ).
tcf(c_201458,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173092,c_8246]) ).
tcf(c_201472,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201458,c_120337]) ).
tcf(c_201561,plain,
! [X0: $i] :
( m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_201146,c_1178]) ).
tcf(c_201562,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_201146,c_152]) ).
tcf(c_201566,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k1_struct_0(sK3,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_201146,c_8259]) ).
tcf(c_201567,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k1_struct_0(sK2,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_201146,c_8246]) ).
tcf(c_201583,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_201242,c_116034]) ).
tcf(c_201584,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_201242,c_115761]) ).
tcf(c_201612,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_201274,c_116034]) ).
tcf(c_201613,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_201274,c_115761]) ).
tcf(c_201702,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_201373,c_116034]) ).
tcf(c_201703,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_201373,c_115761]) ).
tcf(c_201713,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_201456,c_116408]) ).
tcf(c_201714,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_201456,c_116002]) ).
tcf(c_201715,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_201456,c_115708]) ).
tcf(c_201716,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_201456,c_114071]) ).
tcf(c_201748,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173093,c_1179]) ).
tcf(c_201749,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173093,c_1178]) ).
tcf(c_201750,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173093,c_152]) ).
tcf(c_201751,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173093,c_61]) ).
tcf(c_201753,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_173093,c_292]) ).
tcf(c_201754,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173093,c_8259]) ).
tcf(c_201755,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173093,c_8246]) ).
tcf(c_201769,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201755,c_120337]) ).
tcf(c_201846,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173094,c_1179]) ).
tcf(c_201847,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173094,c_1178]) ).
tcf(c_201848,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173094,c_152]) ).
tcf(c_201849,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173094,c_61]) ).
tcf(c_201851,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_173094,c_292]) ).
tcf(c_201852,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173094,c_8259]) ).
tcf(c_201853,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173094,c_8246]) ).
tcf(c_201867,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201853,c_120337]) ).
tcf(c_201940,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173095,c_1179]) ).
tcf(c_201941,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173095,c_1178]) ).
tcf(c_201942,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173095,c_152]) ).
tcf(c_201943,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173095,c_61]) ).
tcf(c_201945,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_173095,c_292]) ).
tcf(c_201946,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173095,c_8259]) ).
tcf(c_201947,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173095,c_8246]) ).
tcf(c_201961,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201947,c_120337]) ).
tcf(c_201991,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173097,c_1179]) ).
tcf(c_201992,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173097,c_1178]) ).
tcf(c_201993,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173097,c_152]) ).
tcf(c_201994,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173097,c_61]) ).
tcf(c_201996,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_173097,c_292]) ).
tcf(c_201997,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173097,c_8259]) ).
tcf(c_201998,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173097,c_8246]) ).
tcf(c_202012,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_201998,c_120337]) ).
tcf(c_202383,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_173096]) ).
tcf(c_202396,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_175265]) ).
tcf(c_202409,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_176665]) ).
tcf(c_202419,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_201753,c_116408]) ).
tcf(c_202420,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_201753,c_116002]) ).
tcf(c_202421,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_201753,c_115708]) ).
tcf(c_202422,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_201753,c_114071]) ).
tcf(c_202437,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_201851,c_116408]) ).
tcf(c_202438,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_201851,c_116002]) ).
tcf(c_202439,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_201851,c_115708]) ).
tcf(c_202440,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_201851,c_114071]) ).
tcf(c_202479,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_201945,c_116408]) ).
tcf(c_202480,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_201945,c_116002]) ).
tcf(c_202481,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_201945,c_115708]) ).
tcf(c_202482,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_201945,c_114071]) ).
tcf(c_202518,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_201996,c_116408]) ).
tcf(c_202519,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_201996,c_116002]) ).
tcf(c_202520,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_201996,c_115708]) ).
tcf(c_202521,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_201996,c_114071]) ).
tcf(c_202568,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_173107,c_1179]) ).
tcf(c_202569,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_173107,c_1178]) ).
tcf(c_202570,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_173107,c_152]) ).
tcf(c_202571,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173107,c_61]) ).
tcf(c_202573,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_173107,c_292]) ).
tcf(c_202574,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173107,c_8259]) ).
tcf(c_202575,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173107,c_8246]) ).
tcf(c_202626,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173110,c_1179]) ).
tcf(c_202627,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173110,c_1178]) ).
tcf(c_202628,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_173110,c_152]) ).
tcf(c_202629,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_173110,c_61]) ).
tcf(c_202631,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_173110,c_292]) ).
tcf(c_202632,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173110,c_8259]) ).
tcf(c_202633,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_173110,c_8246]) ).
tcf(c_202647,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202633,c_120337]) ).
tcf(c_202706,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_177635]) ).
tcf(c_202719,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_178461]) ).
tcf(c_202784,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_179772]) ).
tcf(c_202797,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_181132]) ).
tcf(c_202810,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_182036]) ).
tcf(c_202823,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_183156]) ).
tcf(c_202836,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_183946]) ).
tcf(c_202849,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_196452]) ).
tcf(c_202873,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k2_tex_4(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) ) ),
inference(superposition,[status(thm)],[c_201145,c_116042]) ).
tcf(c_202874,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k1_tarski(sK5(sK3,k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) ) ),
inference(superposition,[status(thm)],[c_201145,c_115769]) ).
tcf(c_202876,plain,
( v1_tsp_1(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3) ),
inference(superposition,[status(thm)],[c_201145,c_116308]) ).
tcf(c_202918,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_202631,c_116408]) ).
tcf(c_202919,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_202631,c_116002]) ).
tcf(c_202920,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_202631,c_115708]) ).
tcf(c_202921,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_202631,c_114071]) ).
tcf(c_202983,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175246,c_1178]) ).
tcf(c_202984,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175246,c_152]) ).
tcf(c_202985,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175246,c_61]) ).
tcf(c_202987,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175246,c_292]) ).
tcf(c_202988,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175246,c_8259]) ).
tcf(c_202989,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175246,c_8246]) ).
tcf(c_203000,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202989,c_116663,c_8268]) ).
tcf(c_203003,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202988,c_119983]) ).
tcf(c_203097,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_197377]) ).
tcf(c_203163,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_196024]) ).
tcf(c_203180,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_173106]) ).
tcf(c_203211,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_203180,c_1179]) ).
tcf(c_203212,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK16(iPr_def_18),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_203180,c_1178]) ).
tcf(c_203213,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK16(iPr_def_18),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_203180,c_152]) ).
tcf(c_203214,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_203180,c_61]) ).
tcf(c_203216,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203180,c_292]) ).
tcf(c_203217,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203180,c_8259]) ).
tcf(c_203218,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203180,c_8246]) ).
tcf(c_203242,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203218,c_120337]) ).
tcf(c_203310,plain,
( ( k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k1_struct_0(sK3,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_159974,c_132441]) ).
tcf(c_203311,plain,
( r1_tarski(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_18)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_159974,c_121407]) ).
tcf(c_203312,plain,
( ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_159974,c_124571]) ).
tcf(c_203313,plain,
( r2_hidden(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_159974,c_115999]) ).
tcf(c_203314,plain,
( m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19)
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18) ),
inference(superposition,[status(thm)],[c_159974,c_115989]) ).
tcf(c_203315,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_203314,c_159671]) ).
tcf(c_203316,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_203313,c_159671]) ).
tcf(c_203317,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_203311,c_159671]) ).
tcf(c_203318,plain,
~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_203312,c_159671]) ).
tcf(c_203319,plain,
( ( k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_203310,c_159974]) ).
tcf(c_203320,plain,
( ( k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203319,c_159671]) ).
tcf(c_203350,plain,
( ( k4_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_202987,c_116034]) ).
tcf(c_203351,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_202987,c_115761]) ).
tcf(c_203357,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) ) ),
inference(superposition,[status(thm)],[c_203315,c_116042]) ).
tcf(c_203358,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k1_tarski(sK5(sK3,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) ) ),
inference(superposition,[status(thm)],[c_203315,c_115769]) ).
tcf(c_203360,plain,
( v1_tsp_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3) ),
inference(superposition,[status(thm)],[c_203315,c_116308]) ).
tcf(c_203404,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175247,c_1178]) ).
tcf(c_203405,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175247,c_152]) ).
tcf(c_203406,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175247,c_61]) ).
tcf(c_203408,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175247,c_292]) ).
tcf(c_203409,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175247,c_8259]) ).
tcf(c_203410,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175247,c_8246]) ).
tcf(c_203421,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203410,c_116663,c_8268]) ).
tcf(c_203424,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203409,c_119983]) ).
tcf(c_203433,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175248,c_1178]) ).
tcf(c_203434,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175248,c_152]) ).
tcf(c_203435,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175248,c_61]) ).
tcf(c_203437,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175248,c_292]) ).
tcf(c_203438,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175248,c_8259]) ).
tcf(c_203439,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175248,c_8246]) ).
tcf(c_203450,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203439,c_116663,c_8268]) ).
tcf(c_203453,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203438,c_119983]) ).
tcf(c_203533,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175259,c_1178]) ).
tcf(c_203534,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_175259,c_152]) ).
tcf(c_203535,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175259,c_61]) ).
tcf(c_203537,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175259,c_292]) ).
tcf(c_203538,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175259,c_8259]) ).
tcf(c_203539,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175259,c_8246]) ).
tcf(c_203550,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203539,c_116663,c_8268]) ).
tcf(c_203553,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203538,c_119983]) ).
tcf(c_203605,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175261,c_1178]) ).
tcf(c_203606,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175261,c_152]) ).
tcf(c_203607,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175261,c_61]) ).
tcf(c_203609,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175261,c_292]) ).
tcf(c_203610,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175261,c_8259]) ).
tcf(c_203611,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175261,c_8246]) ).
tcf(c_203622,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203611,c_120337]) ).
tcf(c_203681,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203216,c_116408]) ).
tcf(c_203682,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203216,c_116002]) ).
tcf(c_203683,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203216,c_115708]) ).
tcf(c_203684,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203216,c_114071]) ).
tcf(c_203749,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK16(iPr_def_18),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_203212,c_301]) ).
tcf(c_203750,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( sK16(iPr_def_18) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_18))
| ~ v1_tsp_1(sK16(iPr_def_18),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_203212,c_158]) ).
tcf(c_203751,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK16(iPr_def_18),X0)
| r1_tarski(sK16(iPr_def_18),sK7(X0,sK16(iPr_def_18)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_203212,c_155]) ).
tcf(c_203752,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK16(iPr_def_18),X0)
| v1_tsp_1(sK7(X0,sK16(iPr_def_18)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_203212,c_154]) ).
tcf(c_203753,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_203212,c_157]) ).
tcf(c_203754,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK20,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_203212,c_6743]) ).
tcf(c_203755,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK16(iPr_def_18))) = k1_funct_1(sK4,sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_116416]) ).
tcf(c_203756,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_116010]) ).
tcf(c_203757,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_114679]) ).
tcf(c_203758,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_18))) = k1_tarski(sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_115716]) ).
tcf(c_203759,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK2) ),
inference(superposition,[status(thm)],[c_203212,c_116313]) ).
tcf(c_203760,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_18))),k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_18)))) = k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_18))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_114117]) ).
tcf(c_203761,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_18)) = k1_funct_1(sK4,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_116408]) ).
tcf(c_203762,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_116002]) ).
tcf(c_203763,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_115708]) ).
tcf(c_203764,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_18)))) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_18)),k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_114071]) ).
tcf(c_203768,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(superposition,[status(thm)],[c_203212,c_116308]) ).
tcf(c_203769,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_116034]) ).
tcf(c_203770,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK3,sK16(iPr_def_18)) = k1_tarski(sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_115761]) ).
tcf(c_203771,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203212,c_114680]) ).
tcf(c_204025,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_203213,c_1179]) ).
tcf(c_204026,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK16(iPr_def_18),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_203213,c_1178]) ).
tcf(c_204027,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK16(iPr_def_18),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_203213,c_152]) ).
tcf(c_204028,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_203213,c_61]) ).
tcf(c_204031,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK16(iPr_def_18))) = k1_struct_0(sK3,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_203213,c_8259]) ).
tcf(c_204032,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK16(iPr_def_18))) = k1_struct_0(sK2,sK16(iPr_def_18)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203213,c_8246]) ).
tcf(c_204033,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK3,sK16(iPr_def_18)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_203213,c_8258]) ).
tcf(c_204034,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_203213,c_8245]) ).
tcf(c_204035,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_203213,c_114471]) ).
tcf(c_204036,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_203213,c_114472]) ).
tcf(c_204037,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK16(iPr_def_18),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK16(iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_203213,c_114497]) ).
tcf(c_204038,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_203213,c_149729]) ).
tcf(c_204040,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_203213,c_115529]) ).
tcf(c_204042,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_203213,c_128064]) ).
tcf(c_204044,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK16(iPr_def_18))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_203213,c_119169]) ).
tcf(c_204045,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_203213,c_125883]) ).
tcf(c_204047,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_203213,c_126685]) ).
tcf(c_204048,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_203213,c_126762]) ).
tcf(c_204049,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_203213,c_126825]) ).
tcf(c_204053,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_203213,c_127375]) ).
tcf(c_204054,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_203213,c_127835]) ).
tcf(c_204055,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_203213,c_128180]) ).
tcf(c_204056,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_203213,c_131210]) ).
tcf(c_204057,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_203213,c_131277]) ).
tcf(c_204058,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_203213,c_142563]) ).
tcf(c_204059,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_203213,c_131380]) ).
tcf(c_204060,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_203213,c_131637]) ).
tcf(c_204064,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_203213,c_135483]) ).
tcf(c_204065,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_203213,c_137610]) ).
tcf(c_204067,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_203213,c_144958]) ).
tcf(c_204068,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_203213,c_151171]) ).
tcf(c_204069,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_203213,c_156248]) ).
tcf(c_204210,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK16(iPr_def_18))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204035,c_114309]) ).
tcf(c_204470,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK17(sK2),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_175275]) ).
tcf(c_204786,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK17(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_204470,c_1178]) ).
tcf(c_204787,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK17(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_204470,c_152]) ).
tcf(c_204788,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204470,c_61]) ).
tcf(c_204790,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK17(sK2),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204470,c_292]) ).
tcf(c_204791,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_204470,c_8259]) ).
tcf(c_204792,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204470,c_8246]) ).
tcf(c_204811,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204792,c_120337]) ).
tcf(c_204824,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_203316,c_1178]) ).
tcf(c_204825,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_203316,c_152]) ).
tcf(c_204829,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k1_struct_0(sK3,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_203316,c_8259]) ).
tcf(c_204830,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))))) = k1_struct_0(sK2,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203316,c_8246]) ).
tcf(c_204846,plain,
( ( k4_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_203408,c_116034]) ).
tcf(c_204847,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_203408,c_115761]) ).
tcf(c_204857,plain,
( ( k4_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_203437,c_116034]) ).
tcf(c_204858,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_203437,c_115761]) ).
tcf(c_204868,plain,
( ( k4_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_203537,c_116034]) ).
tcf(c_204869,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_203537,c_115761]) ).
tcf(c_204879,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_203609,c_116408]) ).
tcf(c_204880,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_203609,c_116002]) ).
tcf(c_204881,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_203609,c_115708]) ).
tcf(c_204882,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_203609,c_114071]) ).
tcf(c_204897,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175262,c_1178]) ).
tcf(c_204898,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175262,c_152]) ).
tcf(c_204899,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175262,c_61]) ).
tcf(c_204901,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175262,c_292]) ).
tcf(c_204902,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175262,c_8259]) ).
tcf(c_204903,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175262,c_8246]) ).
tcf(c_204914,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204903,c_120337]) ).
tcf(c_204927,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175263,c_1178]) ).
tcf(c_204928,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175263,c_152]) ).
tcf(c_204929,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175263,c_61]) ).
tcf(c_204931,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175263,c_292]) ).
tcf(c_204932,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175263,c_8259]) ).
tcf(c_204933,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175263,c_8246]) ).
tcf(c_204944,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204933,c_120337]) ).
tcf(c_205010,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175264,c_1178]) ).
tcf(c_205011,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175264,c_152]) ).
tcf(c_205012,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175264,c_61]) ).
tcf(c_205014,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175264,c_292]) ).
tcf(c_205015,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175264,c_8259]) ).
tcf(c_205016,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175264,c_8246]) ).
tcf(c_205027,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205016,c_120337]) ).
tcf(c_205040,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175266,c_1178]) ).
tcf(c_205041,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175266,c_152]) ).
tcf(c_205042,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175266,c_61]) ).
tcf(c_205044,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175266,c_292]) ).
tcf(c_205045,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175266,c_8259]) ).
tcf(c_205046,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175266,c_8246]) ).
tcf(c_205057,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205046,c_120337]) ).
tcf(c_205111,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204790,c_116408]) ).
tcf(c_205112,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204790,c_116002]) ).
tcf(c_205113,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204790,c_115708]) ).
tcf(c_205114,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204790,c_114071]) ).
tcf(c_205175,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK17(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_204786,c_301]) ).
tcf(c_205176,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( sK17(sK2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK17(sK2))
| ~ v1_tsp_1(sK17(sK2),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_204786,c_158]) ).
tcf(c_205177,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK17(sK2),X0)
| r1_tarski(sK17(sK2),sK7(X0,sK17(sK2)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_204786,c_155]) ).
tcf(c_205178,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK17(sK2),X0)
| v1_tsp_1(sK7(X0,sK17(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_204786,c_154]) ).
tcf(c_205179,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_204786,c_157]) ).
tcf(c_205180,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK20,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_204786,c_6743]) ).
tcf(c_205185,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(superposition,[status(thm)],[c_204786,c_116313]) ).
tcf(c_205187,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_116408]) ).
tcf(c_205188,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_116002]) ).
tcf(c_205189,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_115708]) ).
tcf(c_205190,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_114071]) ).
tcf(c_205191,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK17(sK2))) = k2_tex_4(sK3,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_116042]) ).
tcf(c_205192,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK17(sK2))) = k1_tarski(sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_115769]) ).
tcf(c_205193,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_114678]) ).
tcf(c_205194,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK17(sK2),sK3) ),
inference(superposition,[status(thm)],[c_204786,c_116308]) ).
tcf(c_205195,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_116034]) ).
tcf(c_205196,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_115761]) ).
tcf(c_205197,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_114680]) ).
tcf(c_205198,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_147485]) ).
tcf(c_205199,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_132267]) ).
tcf(c_205200,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_120817]) ).
tcf(c_205201,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK5(sK3,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204786,c_115946]) ).
tcf(c_205382,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK17(sK2),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_204787,c_1178]) ).
tcf(c_205383,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK17(sK2),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_204787,c_152]) ).
tcf(c_205384,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_61]) ).
tcf(c_205387,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_204787,c_8259]) ).
tcf(c_205388,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_204787,c_8246]) ).
tcf(c_205389,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK3,sK17(sK2)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_204787,c_8258]) ).
tcf(c_205390,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_204787,c_8245]) ).
tcf(c_205391,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK17(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK17(sK2))) ),
inference(superposition,[status(thm)],[c_204787,c_114471]) ).
tcf(c_205392,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK17(sK2),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK17(sK2))) ),
inference(superposition,[status(thm)],[c_204787,c_114472]) ).
tcf(c_205393,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK17(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK17(sK2),X0)) ),
inference(superposition,[status(thm)],[c_204787,c_114497]) ).
tcf(c_205395,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_204787,c_149891]) ).
tcf(c_205396,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK17(sK2))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_204787,c_115529]) ).
tcf(c_205399,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_127905]) ).
tcf(c_205400,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK17(sK2))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_204787,c_119169]) ).
tcf(c_205402,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_125947]) ).
tcf(c_205406,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_126913]) ).
tcf(c_205407,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_127040]) ).
tcf(c_205408,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_127267]) ).
tcf(c_205409,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_204787,c_127375]) ).
tcf(c_205411,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_204787,c_128180]) ).
tcf(c_205412,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_204787,c_131210]) ).
tcf(c_205413,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_204787,c_131277]) ).
tcf(c_205414,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_204787,c_142563]) ).
tcf(c_205417,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_204787,c_131706]) ).
tcf(c_205418,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_204787,c_131771]) ).
tcf(c_205419,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_204787,c_134036]) ).
tcf(c_205422,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_204787,c_137793]) ).
tcf(c_205423,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK17(sK2))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_204787,c_144958]) ).
tcf(c_205424,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK17(sK2))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_204787,c_151171]) ).
tcf(c_205426,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_204787,c_154067]) ).
tcf(c_205545,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK17(sK2),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK17(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_205392,c_115361]) ).
tcf(c_205769,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK16(iPr_def_18),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176139,c_299]) ).
tcf(c_205781,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_204901,c_116408]) ).
tcf(c_205782,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_204901,c_116002]) ).
tcf(c_205783,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_204901,c_115708]) ).
tcf(c_205784,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_204901,c_114071]) ).
tcf(c_205799,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_204931,c_116408]) ).
tcf(c_205800,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_204931,c_116002]) ).
tcf(c_205801,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_204931,c_115708]) ).
tcf(c_205802,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_204931,c_114071]) ).
tcf(c_205817,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_205014,c_116408]) ).
tcf(c_205818,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_205014,c_116002]) ).
tcf(c_205819,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_205014,c_115708]) ).
tcf(c_205820,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_205014,c_114071]) ).
tcf(c_205857,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_205044,c_116408]) ).
tcf(c_205858,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_205044,c_116002]) ).
tcf(c_205859,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_205044,c_115708]) ).
tcf(c_205860,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_205044,c_114071]) ).
tcf(c_205951,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_175276,c_1178]) ).
tcf(c_205952,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_175276,c_152]) ).
tcf(c_205953,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175276,c_61]) ).
tcf(c_205955,plain,
( m1_subset_1(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175276,c_292]) ).
tcf(c_205956,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175276,c_8259]) ).
tcf(c_205957,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175276,c_8246]) ).
tcf(c_206029,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175279,c_1178]) ).
tcf(c_206030,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175279,c_152]) ).
tcf(c_206031,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175279,c_61]) ).
tcf(c_206033,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175279,c_292]) ).
tcf(c_206034,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK2))) = k1_struct_0(sK3,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_175279,c_8259]) ).
tcf(c_206035,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_175279,c_8246]) ).
tcf(c_206046,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206035,c_120337]) ).
tcf(c_206152,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176646,c_1178]) ).
tcf(c_206153,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176646,c_152]) ).
tcf(c_206154,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176646,c_61]) ).
tcf(c_206156,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_176646,c_292]) ).
tcf(c_206157,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176646,c_8259]) ).
tcf(c_206158,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176646,c_8246]) ).
tcf(c_206169,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206158,c_116663,c_8268]) ).
tcf(c_206172,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206157,c_119983]) ).
tcf(c_206199,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176647,c_1178]) ).
tcf(c_206200,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176647,c_152]) ).
tcf(c_206201,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176647,c_61]) ).
tcf(c_206203,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_176647,c_292]) ).
tcf(c_206204,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176647,c_8259]) ).
tcf(c_206205,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176647,c_8246]) ).
tcf(c_206216,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206205,c_116663,c_8268]) ).
tcf(c_206219,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206204,c_119983]) ).
tcf(c_206279,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK17(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176193,c_299]) ).
tcf(c_206297,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK19(sK2),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_176675]) ).
tcf(c_206311,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK19(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_206297,c_1178]) ).
tcf(c_206312,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK19(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_206297,c_152]) ).
tcf(c_206313,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206297,c_61]) ).
tcf(c_206315,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK19(sK2),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206297,c_292]) ).
tcf(c_206316,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_206297,c_8259]) ).
tcf(c_206317,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206297,c_8246]) ).
tcf(c_206336,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206317,c_120337]) ).
tcf(c_206388,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206315,c_116408]) ).
tcf(c_206389,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206315,c_116002]) ).
tcf(c_206390,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206315,c_115708]) ).
tcf(c_206391,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206315,c_114071]) ).
tcf(c_206446,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK19(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_206311,c_301]) ).
tcf(c_206447,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( sK19(sK2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK19(sK2))
| ~ v1_tsp_1(sK19(sK2),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_206311,c_158]) ).
tcf(c_206448,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK19(sK2),X0)
| r1_tarski(sK19(sK2),sK7(X0,sK19(sK2)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_206311,c_155]) ).
tcf(c_206449,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK19(sK2),X0)
| v1_tsp_1(sK7(X0,sK19(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_206311,c_154]) ).
tcf(c_206450,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_206311,c_157]) ).
tcf(c_206451,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK20,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_206311,c_6743]) ).
tcf(c_206456,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(superposition,[status(thm)],[c_206311,c_116313]) ).
tcf(c_206458,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_116408]) ).
tcf(c_206459,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_116002]) ).
tcf(c_206460,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_115708]) ).
tcf(c_206461,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_114071]) ).
tcf(c_206462,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK19(sK2))) = k2_tex_4(sK3,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_116042]) ).
tcf(c_206463,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK19(sK2))) = k1_tarski(sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_115769]) ).
tcf(c_206464,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_114678]) ).
tcf(c_206465,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK19(sK2),sK3) ),
inference(superposition,[status(thm)],[c_206311,c_116308]) ).
tcf(c_206466,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_116034]) ).
tcf(c_206467,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_115761]) ).
tcf(c_206468,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_114680]) ).
tcf(c_206469,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_147511]) ).
tcf(c_206470,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_132551]) ).
tcf(c_206471,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_120857]) ).
tcf(c_206472,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK5(sK3,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206311,c_116135]) ).
tcf(c_206674,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK19(sK2),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_206312,c_1178]) ).
tcf(c_206675,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK19(sK2),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_206312,c_152]) ).
tcf(c_206676,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_61]) ).
tcf(c_206679,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_206312,c_8259]) ).
tcf(c_206680,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_206312,c_8246]) ).
tcf(c_206681,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_206312,c_8258]) ).
tcf(c_206682,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_206312,c_8245]) ).
tcf(c_206683,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK19(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK19(sK2))) ),
inference(superposition,[status(thm)],[c_206312,c_114471]) ).
tcf(c_206684,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK19(sK2),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK19(sK2))) ),
inference(superposition,[status(thm)],[c_206312,c_114472]) ).
tcf(c_206685,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK19(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK19(sK2),X0)) ),
inference(superposition,[status(thm)],[c_206312,c_114497]) ).
tcf(c_206687,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_206312,c_149891]) ).
tcf(c_206688,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK19(sK2))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_206312,c_115529]) ).
tcf(c_206691,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_127905]) ).
tcf(c_206692,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK19(sK2))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_206312,c_119169]) ).
tcf(c_206694,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_125947]) ).
tcf(c_206698,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_126913]) ).
tcf(c_206699,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_127040]) ).
tcf(c_206700,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_127267]) ).
tcf(c_206701,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_206312,c_127375]) ).
tcf(c_206703,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_206312,c_128180]) ).
tcf(c_206704,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_206312,c_131210]) ).
tcf(c_206705,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_206312,c_131277]) ).
tcf(c_206706,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_206312,c_142563]) ).
tcf(c_206709,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_206312,c_131706]) ).
tcf(c_206710,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_206312,c_131771]) ).
tcf(c_206711,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_206312,c_134036]) ).
tcf(c_206714,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_206312,c_137793]) ).
tcf(c_206715,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK19(sK2))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_206312,c_144958]) ).
tcf(c_206716,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK19(sK2))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_206312,c_151171]) ).
tcf(c_206718,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_206312,c_154067]) ).
tcf(c_206837,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK19(sK2),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK19(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_206684,c_115387]) ).
tcf(c_207083,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK2)) = k1_funct_1(sK4,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_206033,c_116408]) ).
tcf(c_207084,plain,
( ( k4_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_206033,c_116002]) ).
tcf(c_207085,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_206033,c_115708]) ).
tcf(c_207086,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK2)))) = k2_tex_4(sK2,sK17(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK2)),k4_tex_4(sK2,sK17(sK2))) = k1_struct_0(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_206033,c_114071]) ).
tcf(c_207101,plain,
( ( k4_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_206156,c_116034]) ).
tcf(c_207102,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_206156,c_115761]) ).
tcf(c_207126,plain,
( ( k4_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_206203,c_116034]) ).
tcf(c_207127,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_206203,c_115761]) ).
tcf(c_207137,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176648,c_1178]) ).
tcf(c_207138,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176648,c_152]) ).
tcf(c_207139,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176648,c_61]) ).
tcf(c_207141,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_176648,c_292]) ).
tcf(c_207142,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176648,c_8259]) ).
tcf(c_207143,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176648,c_8246]) ).
tcf(c_207154,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207143,c_116663,c_8268]) ).
tcf(c_207157,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207142,c_119983]) ).
tcf(c_207201,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176659,c_1178]) ).
tcf(c_207202,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_176659,c_152]) ).
tcf(c_207203,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176659,c_61]) ).
tcf(c_207205,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176659,c_292]) ).
tcf(c_207206,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176659,c_8259]) ).
tcf(c_207207,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176659,c_8246]) ).
tcf(c_207218,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207207,c_116663,c_8268]) ).
tcf(c_207221,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207206,c_119983]) ).
tcf(c_207252,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176661,c_1178]) ).
tcf(c_207253,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176661,c_152]) ).
tcf(c_207254,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176661,c_61]) ).
tcf(c_207256,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_176661,c_292]) ).
tcf(c_207257,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176661,c_8259]) ).
tcf(c_207258,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176661,c_8246]) ).
tcf(c_207269,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207258,c_120337]) ).
tcf(c_207317,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176662,c_1178]) ).
tcf(c_207318,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176662,c_152]) ).
tcf(c_207319,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176662,c_61]) ).
tcf(c_207321,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_176662,c_292]) ).
tcf(c_207322,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176662,c_8259]) ).
tcf(c_207323,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176662,c_8246]) ).
tcf(c_207334,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207323,c_120337]) ).
tcf(c_207398,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK25(sK2),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_177645]) ).
tcf(c_207429,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK25(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_207398,c_1178]) ).
tcf(c_207430,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK25(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_207398,c_152]) ).
tcf(c_207431,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207398,c_61]) ).
tcf(c_207433,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK25(sK2),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207398,c_292]) ).
tcf(c_207434,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_207398,c_8259]) ).
tcf(c_207435,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207398,c_8246]) ).
tcf(c_207454,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207435,c_120337]) ).
tcf(c_207475,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207433,c_116408]) ).
tcf(c_207476,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207433,c_116002]) ).
tcf(c_207477,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207433,c_115708]) ).
tcf(c_207478,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207433,c_114071]) ).
tcf(c_207557,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK25(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_207429,c_301]) ).
tcf(c_207558,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( sK25(sK2) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK25(sK2))
| ~ v1_tsp_1(sK25(sK2),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_207429,c_158]) ).
tcf(c_207559,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK25(sK2),X0)
| r1_tarski(sK25(sK2),sK7(X0,sK25(sK2)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_207429,c_155]) ).
tcf(c_207560,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK25(sK2),X0)
| v1_tsp_1(sK7(X0,sK25(sK2)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_207429,c_154]) ).
tcf(c_207561,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_207429,c_157]) ).
tcf(c_207562,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK20,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_207429,c_6743]) ).
tcf(c_207567,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(superposition,[status(thm)],[c_207429,c_116313]) ).
tcf(c_207569,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_116408]) ).
tcf(c_207570,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_116002]) ).
tcf(c_207571,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_115708]) ).
tcf(c_207572,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_114071]) ).
tcf(c_207573,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK25(sK2))) = k2_tex_4(sK3,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_116042]) ).
tcf(c_207574,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK25(sK2))) = k1_tarski(sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_115769]) ).
tcf(c_207575,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_114678]) ).
tcf(c_207576,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK25(sK2),sK3) ),
inference(superposition,[status(thm)],[c_207429,c_116308]) ).
tcf(c_207577,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_116034]) ).
tcf(c_207578,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_115761]) ).
tcf(c_207579,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_114680]) ).
tcf(c_207580,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_147550]) ).
tcf(c_207581,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_132577]) ).
tcf(c_207582,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_120883]) ).
tcf(c_207583,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK5(sK3,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207429,c_116154]) ).
tcf(c_207809,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK25(sK2),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_207430,c_1178]) ).
tcf(c_207810,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK25(sK2),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_207430,c_152]) ).
tcf(c_207811,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_61]) ).
tcf(c_207814,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_207430,c_8259]) ).
tcf(c_207815,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_207430,c_8246]) ).
tcf(c_207816,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_207430,c_8258]) ).
tcf(c_207817,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_207430,c_8245]) ).
tcf(c_207818,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK25(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK25(sK2))) ),
inference(superposition,[status(thm)],[c_207430,c_114471]) ).
tcf(c_207819,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK25(sK2),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK25(sK2))) ),
inference(superposition,[status(thm)],[c_207430,c_114472]) ).
tcf(c_207820,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK25(sK2),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK25(sK2),X0)) ),
inference(superposition,[status(thm)],[c_207430,c_114497]) ).
tcf(c_207822,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_207430,c_149891]) ).
tcf(c_207823,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK25(sK2))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_207430,c_115529]) ).
tcf(c_207826,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_127905]) ).
tcf(c_207827,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK25(sK2))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_207430,c_119169]) ).
tcf(c_207829,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_125947]) ).
tcf(c_207833,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_126913]) ).
tcf(c_207834,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_127040]) ).
tcf(c_207835,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_127267]) ).
tcf(c_207836,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_207430,c_127375]) ).
tcf(c_207838,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_207430,c_128180]) ).
tcf(c_207839,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_207430,c_131210]) ).
tcf(c_207840,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_207430,c_131277]) ).
tcf(c_207841,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_207430,c_142563]) ).
tcf(c_207844,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_207430,c_131706]) ).
tcf(c_207845,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_207430,c_131771]) ).
tcf(c_207846,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_207430,c_134036]) ).
tcf(c_207849,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_207430,c_137793]) ).
tcf(c_207850,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK25(sK2))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_207430,c_144958]) ).
tcf(c_207851,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK25(sK2))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_207430,c_151171]) ).
tcf(c_207853,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_207430,c_154067]) ).
tcf(c_207972,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK25(sK2),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK25(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_207819,c_115432]) ).
tcf(c_208149,plain,
( ( k4_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_207141,c_116034]) ).
tcf(c_208150,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_207141,c_115761]) ).
tcf(c_208229,plain,
( ( k4_tex_4(sK3,sK19(sK2)) = k2_tex_4(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_207205,c_116034]) ).
tcf(c_208230,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_207205,c_115761]) ).
tcf(c_208240,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_207256,c_116408]) ).
tcf(c_208241,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_207256,c_116002]) ).
tcf(c_208242,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_207256,c_115708]) ).
tcf(c_208243,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_207256,c_114071]) ).
tcf(c_208258,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_207321,c_116408]) ).
tcf(c_208259,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_207321,c_116002]) ).
tcf(c_208260,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_207321,c_115708]) ).
tcf(c_208261,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_207321,c_114071]) ).
tcf(c_208289,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176663,c_1178]) ).
tcf(c_208290,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176663,c_152]) ).
tcf(c_208291,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176663,c_61]) ).
tcf(c_208293,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_176663,c_292]) ).
tcf(c_208294,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176663,c_8259]) ).
tcf(c_208295,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176663,c_8246]) ).
tcf(c_208306,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208295,c_120337]) ).
tcf(c_208341,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176664,c_1178]) ).
tcf(c_208342,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176664,c_152]) ).
tcf(c_208343,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176664,c_61]) ).
tcf(c_208345,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_176664,c_292]) ).
tcf(c_208346,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176664,c_8259]) ).
tcf(c_208347,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176664,c_8246]) ).
tcf(c_208358,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208347,c_120337]) ).
tcf(c_208371,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176666,c_1178]) ).
tcf(c_208372,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176666,c_152]) ).
tcf(c_208373,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176666,c_61]) ).
tcf(c_208375,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_176666,c_292]) ).
tcf(c_208376,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176666,c_8259]) ).
tcf(c_208377,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176666,c_8246]) ).
tcf(c_208388,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208377,c_120337]) ).
tcf(c_208418,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_176676,c_1178]) ).
tcf(c_208419,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_176676,c_152]) ).
tcf(c_208420,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176676,c_61]) ).
tcf(c_208422,plain,
( m1_subset_1(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_176676,c_292]) ).
tcf(c_208423,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176676,c_8259]) ).
tcf(c_208424,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176676,c_8246]) ).
tcf(c_208489,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK17(sK3),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_178471]) ).
tcf(c_208503,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK17(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_208489,c_1178]) ).
tcf(c_208504,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK17(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_208489,c_152]) ).
tcf(c_208505,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_208489,c_61]) ).
tcf(c_208507,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK17(sK3),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208489,c_292]) ).
tcf(c_208508,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208489,c_8259]) ).
tcf(c_208509,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208489,c_8246]) ).
tcf(c_208528,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208509,c_120337]) ).
tcf(c_208603,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208507,c_116408]) ).
tcf(c_208604,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208507,c_116002]) ).
tcf(c_208605,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208507,c_115708]) ).
tcf(c_208606,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208507,c_114071]) ).
tcf(c_208682,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK17(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_208503,c_301]) ).
tcf(c_208683,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( sK17(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK17(sK3))
| ~ v1_tsp_1(sK17(sK3),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_208503,c_158]) ).
tcf(c_208684,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK17(sK3),X0)
| r1_tarski(sK17(sK3),sK7(X0,sK17(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_208503,c_155]) ).
tcf(c_208685,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK17(sK3),X0)
| v1_tsp_1(sK7(X0,sK17(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_208503,c_154]) ).
tcf(c_208686,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_208503,c_157]) ).
tcf(c_208687,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK20,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_208503,c_6743]) ).
tcf(c_208688,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK3))) = k1_funct_1(sK4,sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_116416]) ).
tcf(c_208689,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK3))) = k2_tex_4(sK2,sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_116010]) ).
tcf(c_208690,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_114679]) ).
tcf(c_208691,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK3))) = k1_tarski(sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_115716]) ).
tcf(c_208692,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK2) ),
inference(superposition,[status(thm)],[c_208503,c_116313]) ).
tcf(c_208693,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK3))),k4_tex_4(sK2,sK5(sK2,sK17(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_114117]) ).
tcf(c_208694,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_116408]) ).
tcf(c_208695,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_116002]) ).
tcf(c_208696,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_115708]) ).
tcf(c_208697,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_114071]) ).
tcf(c_208701,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(superposition,[status(thm)],[c_208503,c_116308]) ).
tcf(c_208702,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_116034]) ).
tcf(c_208703,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_115761]) ).
tcf(c_208704,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208503,c_114680]) ).
tcf(c_209067,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK17(sK3),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_208504,c_1178]) ).
tcf(c_209068,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK17(sK3),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_208504,c_152]) ).
tcf(c_209069,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_208504,c_61]) ).
tcf(c_209072,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_208504,c_8259]) ).
tcf(c_209073,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_208504,c_8246]) ).
tcf(c_209074,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_208504,c_8258]) ).
tcf(c_209075,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_208504,c_8245]) ).
tcf(c_209076,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK17(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK17(sK3))) ),
inference(superposition,[status(thm)],[c_208504,c_114471]) ).
tcf(c_209077,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK17(sK3))) ),
inference(superposition,[status(thm)],[c_208504,c_114472]) ).
tcf(c_209078,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK17(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK17(sK3),X0)) ),
inference(superposition,[status(thm)],[c_208504,c_114497]) ).
tcf(c_209079,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_208504,c_149729]) ).
tcf(c_209081,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK17(sK3))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_208504,c_115529]) ).
tcf(c_209083,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_208504,c_128064]) ).
tcf(c_209085,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK17(sK3))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK17(sK3))) ),
inference(superposition,[status(thm)],[c_208504,c_119169]) ).
tcf(c_209086,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_208504,c_125883]) ).
tcf(c_209088,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_208504,c_126685]) ).
tcf(c_209089,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_208504,c_126762]) ).
tcf(c_209090,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_208504,c_126825]) ).
tcf(c_209094,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_208504,c_127375]) ).
tcf(c_209095,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_208504,c_127835]) ).
tcf(c_209096,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_208504,c_128180]) ).
tcf(c_209097,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_208504,c_131210]) ).
tcf(c_209098,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_208504,c_131277]) ).
tcf(c_209099,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_208504,c_142563]) ).
tcf(c_209100,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_208504,c_131380]) ).
tcf(c_209101,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_208504,c_131637]) ).
tcf(c_209105,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_208504,c_135483]) ).
tcf(c_209106,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_208504,c_137610]) ).
tcf(c_209108,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_208504,c_144958]) ).
tcf(c_209109,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_208504,c_151171]) ).
tcf(c_209110,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_208504,c_156248]) ).
tcf(c_209241,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK17(sK3),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK17(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209076,c_115359]) ).
tcf(c_209382,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_208293,c_116408]) ).
tcf(c_209383,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_208293,c_116002]) ).
tcf(c_209384,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_208293,c_115708]) ).
tcf(c_209385,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_208293,c_114071]) ).
tcf(c_209400,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_208345,c_116408]) ).
tcf(c_209401,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_208345,c_116002]) ).
tcf(c_209402,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_208345,c_115708]) ).
tcf(c_209403,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_208345,c_114071]) ).
tcf(c_209418,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_208375,c_116408]) ).
tcf(c_209419,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_208375,c_116002]) ).
tcf(c_209420,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_208375,c_115708]) ).
tcf(c_209421,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_208375,c_114071]) ).
tcf(c_209441,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176679,c_1178]) ).
tcf(c_209442,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_176679,c_152]) ).
tcf(c_209443,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_176679,c_61]) ).
tcf(c_209445,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176679,c_292]) ).
tcf(c_209446,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK2))) = k1_struct_0(sK3,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_176679,c_8259]) ).
tcf(c_209447,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176679,c_8246]) ).
tcf(c_209458,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209447,c_120337]) ).
tcf(c_209471,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177616,c_1178]) ).
tcf(c_209472,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177616,c_152]) ).
tcf(c_209473,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177616,c_61]) ).
tcf(c_209475,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_177616,c_292]) ).
tcf(c_209476,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177616,c_8259]) ).
tcf(c_209477,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177616,c_8246]) ).
tcf(c_209488,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209477,c_116663,c_8268]) ).
tcf(c_209491,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209476,c_119983]) ).
tcf(c_209516,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177617,c_1178]) ).
tcf(c_209517,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177617,c_152]) ).
tcf(c_209518,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177617,c_61]) ).
tcf(c_209520,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_177617,c_292]) ).
tcf(c_209521,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177617,c_8259]) ).
tcf(c_209522,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177617,c_8246]) ).
tcf(c_209533,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209522,c_116663,c_8268]) ).
tcf(c_209536,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209521,c_119983]) ).
tcf(c_209612,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177618,c_1178]) ).
tcf(c_209613,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177618,c_152]) ).
tcf(c_209614,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177618,c_61]) ).
tcf(c_209616,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_177618,c_292]) ).
tcf(c_209617,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177618,c_8259]) ).
tcf(c_209618,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177618,c_8246]) ).
tcf(c_209629,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209618,c_116663,c_8268]) ).
tcf(c_209632,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209617,c_119983]) ).
tcf(c_209647,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK19(sK3),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_179782]) ).
tcf(c_209686,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK19(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_209647,c_1178]) ).
tcf(c_209687,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK19(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_209647,c_152]) ).
tcf(c_209688,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_209647,c_61]) ).
tcf(c_209690,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK19(sK3),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209647,c_292]) ).
tcf(c_209691,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209647,c_8259]) ).
tcf(c_209692,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209647,c_8246]) ).
tcf(c_209711,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209692,c_120337]) ).
tcf(c_209732,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209690,c_116408]) ).
tcf(c_209733,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209690,c_116002]) ).
tcf(c_209734,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209690,c_115708]) ).
tcf(c_209735,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209690,c_114071]) ).
tcf(c_209793,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK19(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_209686,c_301]) ).
tcf(c_209794,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( sK19(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK19(sK3))
| ~ v1_tsp_1(sK19(sK3),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_209686,c_158]) ).
tcf(c_209795,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK19(sK3),X0)
| r1_tarski(sK19(sK3),sK7(X0,sK19(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_209686,c_155]) ).
tcf(c_209796,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK19(sK3),X0)
| v1_tsp_1(sK7(X0,sK19(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_209686,c_154]) ).
tcf(c_209797,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_209686,c_157]) ).
tcf(c_209798,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK20,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_209686,c_6743]) ).
tcf(c_209799,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK3))) = k1_funct_1(sK4,sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_116416]) ).
tcf(c_209800,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK3))) = k2_tex_4(sK2,sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_116010]) ).
tcf(c_209801,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_114679]) ).
tcf(c_209802,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK3))) = k1_tarski(sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_115716]) ).
tcf(c_209803,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK2) ),
inference(superposition,[status(thm)],[c_209686,c_116313]) ).
tcf(c_209804,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK3))),k4_tex_4(sK2,sK5(sK2,sK19(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_114117]) ).
tcf(c_209805,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_116408]) ).
tcf(c_209806,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_116002]) ).
tcf(c_209807,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_115708]) ).
tcf(c_209808,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_114071]) ).
tcf(c_209812,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(superposition,[status(thm)],[c_209686,c_116308]) ).
tcf(c_209813,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_116034]) ).
tcf(c_209814,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_115761]) ).
tcf(c_209815,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209686,c_114680]) ).
tcf(c_210108,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK19(sK3),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_209687,c_1178]) ).
tcf(c_210109,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK19(sK3),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_209687,c_152]) ).
tcf(c_210110,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_209687,c_61]) ).
tcf(c_210113,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_209687,c_8259]) ).
tcf(c_210114,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_209687,c_8246]) ).
tcf(c_210115,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_209687,c_8258]) ).
tcf(c_210116,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_209687,c_8245]) ).
tcf(c_210117,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK19(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK19(sK3))) ),
inference(superposition,[status(thm)],[c_209687,c_114471]) ).
tcf(c_210118,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK19(sK3))) ),
inference(superposition,[status(thm)],[c_209687,c_114472]) ).
tcf(c_210119,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK19(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK19(sK3),X0)) ),
inference(superposition,[status(thm)],[c_209687,c_114497]) ).
tcf(c_210120,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_209687,c_149729]) ).
tcf(c_210122,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK19(sK3))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_209687,c_115529]) ).
tcf(c_210124,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_209687,c_128064]) ).
tcf(c_210126,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK19(sK3))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK19(sK3))) ),
inference(superposition,[status(thm)],[c_209687,c_119169]) ).
tcf(c_210127,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_209687,c_125883]) ).
tcf(c_210129,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_209687,c_126685]) ).
tcf(c_210130,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_209687,c_126762]) ).
tcf(c_210131,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_209687,c_126825]) ).
tcf(c_210135,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_209687,c_127375]) ).
tcf(c_210136,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_209687,c_127835]) ).
tcf(c_210137,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_209687,c_128180]) ).
tcf(c_210138,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_209687,c_131210]) ).
tcf(c_210139,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_209687,c_131277]) ).
tcf(c_210140,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_209687,c_142563]) ).
tcf(c_210141,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_209687,c_131380]) ).
tcf(c_210142,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_209687,c_131637]) ).
tcf(c_210146,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_209687,c_135483]) ).
tcf(c_210147,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_209687,c_137610]) ).
tcf(c_210149,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_209687,c_144958]) ).
tcf(c_210150,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_209687,c_151171]) ).
tcf(c_210151,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_209687,c_156248]) ).
tcf(c_210282,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK19(sK3),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK19(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210117,c_115385]) ).
tcf(c_210820,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK19(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180829,c_299]) ).
tcf(c_210836,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK2)) = k1_funct_1(sK4,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_209445,c_116408]) ).
tcf(c_210837,plain,
( ( k4_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_209445,c_116002]) ).
tcf(c_210838,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_209445,c_115708]) ).
tcf(c_210839,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK2)))) = k2_tex_4(sK2,sK19(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK2)),k4_tex_4(sK2,sK19(sK2))) = k1_struct_0(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_209445,c_114071]) ).
tcf(c_210854,plain,
( ( k4_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_209475,c_116034]) ).
tcf(c_210855,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_209475,c_115761]) ).
tcf(c_210865,plain,
( ( k4_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_209520,c_116034]) ).
tcf(c_210866,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_209520,c_115761]) ).
tcf(c_210876,plain,
( ( k4_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_209616,c_116034]) ).
tcf(c_210877,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_209616,c_115761]) ).
tcf(c_210887,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177629,c_1178]) ).
tcf(c_210888,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_177629,c_152]) ).
tcf(c_210889,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177629,c_61]) ).
tcf(c_210891,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_177629,c_292]) ).
tcf(c_210892,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177629,c_8259]) ).
tcf(c_210893,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177629,c_8246]) ).
tcf(c_210904,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210893,c_116663,c_8268]) ).
tcf(c_210907,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210892,c_119983]) ).
tcf(c_211062,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177631,c_1178]) ).
tcf(c_211063,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177631,c_152]) ).
tcf(c_211064,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177631,c_61]) ).
tcf(c_211066,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_177631,c_292]) ).
tcf(c_211067,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177631,c_8259]) ).
tcf(c_211068,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177631,c_8246]) ).
tcf(c_211079,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211068,c_120337]) ).
tcf(c_211092,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177632,c_1178]) ).
tcf(c_211093,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177632,c_152]) ).
tcf(c_211094,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177632,c_61]) ).
tcf(c_211096,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_177632,c_292]) ).
tcf(c_211097,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177632,c_8259]) ).
tcf(c_211098,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177632,c_8246]) ).
tcf(c_211109,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211098,c_120337]) ).
tcf(c_211143,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177633,c_1178]) ).
tcf(c_211144,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177633,c_152]) ).
tcf(c_211145,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177633,c_61]) ).
tcf(c_211147,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_177633,c_292]) ).
tcf(c_211148,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177633,c_8259]) ).
tcf(c_211149,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177633,c_8246]) ).
tcf(c_211160,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211149,c_120337]) ).
tcf(c_211295,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK25(sK2),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180883,c_299]) ).
tcf(c_211312,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK17(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180937,c_299]) ).
tcf(c_211329,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK19(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180991,c_299]) ).
tcf(c_211347,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK25(sK3),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_181142]) ).
tcf(c_211361,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK25(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_211347,c_1178]) ).
tcf(c_211362,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK25(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_211347,c_152]) ).
tcf(c_211363,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_211347,c_61]) ).
tcf(c_211365,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK25(sK3),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211347,c_292]) ).
tcf(c_211366,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211347,c_8259]) ).
tcf(c_211367,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211347,c_8246]) ).
tcf(c_211386,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211367,c_120337]) ).
tcf(c_211407,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211365,c_116408]) ).
tcf(c_211408,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211365,c_116002]) ).
tcf(c_211409,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211365,c_115708]) ).
tcf(c_211410,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211365,c_114071]) ).
tcf(c_211458,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK25(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_211361,c_301]) ).
tcf(c_211459,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( sK25(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK25(sK3))
| ~ v1_tsp_1(sK25(sK3),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_211361,c_158]) ).
tcf(c_211460,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK25(sK3),X0)
| r1_tarski(sK25(sK3),sK7(X0,sK25(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_211361,c_155]) ).
tcf(c_211461,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK25(sK3),X0)
| v1_tsp_1(sK7(X0,sK25(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_211361,c_154]) ).
tcf(c_211462,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_211361,c_157]) ).
tcf(c_211463,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK20,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_211361,c_6743]) ).
tcf(c_211464,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK3))) = k1_funct_1(sK4,sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_116416]) ).
tcf(c_211465,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK3))) = k2_tex_4(sK2,sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_116010]) ).
tcf(c_211466,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_114679]) ).
tcf(c_211467,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK3))) = k1_tarski(sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_115716]) ).
tcf(c_211468,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK2) ),
inference(superposition,[status(thm)],[c_211361,c_116313]) ).
tcf(c_211469,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK3))),k4_tex_4(sK2,sK5(sK2,sK25(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK3))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_114117]) ).
tcf(c_211470,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_116408]) ).
tcf(c_211471,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_116002]) ).
tcf(c_211472,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_115708]) ).
tcf(c_211473,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_114071]) ).
tcf(c_211477,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(superposition,[status(thm)],[c_211361,c_116308]) ).
tcf(c_211478,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_116034]) ).
tcf(c_211479,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_115761]) ).
tcf(c_211480,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211361,c_114680]) ).
tcf(c_211696,plain,
( ( k4_tex_4(sK3,sK25(sK2)) = k2_tex_4(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_210891,c_116034]) ).
tcf(c_211697,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_210891,c_115761]) ).
tcf(c_211707,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_211066,c_116408]) ).
tcf(c_211708,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_211066,c_116002]) ).
tcf(c_211709,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_211066,c_115708]) ).
tcf(c_211710,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_211066,c_114071]) ).
tcf(c_211843,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_211096,c_116408]) ).
tcf(c_211844,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_211096,c_116002]) ).
tcf(c_211845,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_211096,c_115708]) ).
tcf(c_211846,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_211096,c_114071]) ).
tcf(c_211951,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_211147,c_116408]) ).
tcf(c_211952,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_211147,c_116002]) ).
tcf(c_211953,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_211147,c_115708]) ).
tcf(c_211954,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_211147,c_114071]) ).
tcf(c_211992,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177634,c_1178]) ).
tcf(c_211993,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177634,c_152]) ).
tcf(c_211994,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177634,c_61]) ).
tcf(c_211996,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_177634,c_292]) ).
tcf(c_211997,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177634,c_8259]) ).
tcf(c_211998,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177634,c_8246]) ).
tcf(c_212009,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211998,c_120337]) ).
tcf(c_212032,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177636,c_1178]) ).
tcf(c_212033,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177636,c_152]) ).
tcf(c_212034,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177636,c_61]) ).
tcf(c_212036,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_177636,c_292]) ).
tcf(c_212037,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177636,c_8259]) ).
tcf(c_212038,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177636,c_8246]) ).
tcf(c_212049,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212038,c_120337]) ).
tcf(c_212073,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_177646,c_1178]) ).
tcf(c_212074,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_177646,c_152]) ).
tcf(c_212075,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177646,c_61]) ).
tcf(c_212077,plain,
( m1_subset_1(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_177646,c_292]) ).
tcf(c_212078,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177646,c_8259]) ).
tcf(c_212079,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177646,c_8246]) ).
tcf(c_212147,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177649,c_1178]) ).
tcf(c_212148,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_177649,c_152]) ).
tcf(c_212149,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_177649,c_61]) ).
tcf(c_212151,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_177649,c_292]) ).
tcf(c_212152,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK2))) = k1_struct_0(sK3,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_177649,c_8259]) ).
tcf(c_212153,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_177649,c_8246]) ).
tcf(c_212164,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212153,c_120337]) ).
tcf(c_212195,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK25(sK3),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_211362,c_1178]) ).
tcf(c_212196,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK25(sK3),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_211362,c_152]) ).
tcf(c_212197,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_211362,c_61]) ).
tcf(c_212200,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_211362,c_8259]) ).
tcf(c_212201,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_211362,c_8246]) ).
tcf(c_212202,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_211362,c_8258]) ).
tcf(c_212203,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_211362,c_8245]) ).
tcf(c_212204,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK25(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK25(sK3))) ),
inference(superposition,[status(thm)],[c_211362,c_114471]) ).
tcf(c_212205,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK25(sK3))) ),
inference(superposition,[status(thm)],[c_211362,c_114472]) ).
tcf(c_212206,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK25(sK3),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK25(sK3),X0)) ),
inference(superposition,[status(thm)],[c_211362,c_114497]) ).
tcf(c_212207,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_211362,c_149729]) ).
tcf(c_212209,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK25(sK3))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_211362,c_115529]) ).
tcf(c_212211,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_211362,c_128064]) ).
tcf(c_212213,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK25(sK3))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK25(sK3))) ),
inference(superposition,[status(thm)],[c_211362,c_119169]) ).
tcf(c_212214,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_211362,c_125883]) ).
tcf(c_212216,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_211362,c_126685]) ).
tcf(c_212217,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_211362,c_126762]) ).
tcf(c_212218,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_211362,c_126825]) ).
tcf(c_212222,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_211362,c_127375]) ).
tcf(c_212223,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_211362,c_127835]) ).
tcf(c_212224,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_211362,c_128180]) ).
tcf(c_212225,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_211362,c_131210]) ).
tcf(c_212226,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_211362,c_131277]) ).
tcf(c_212227,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_211362,c_142563]) ).
tcf(c_212228,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_211362,c_131380]) ).
tcf(c_212229,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_211362,c_131637]) ).
tcf(c_212233,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_211362,c_135483]) ).
tcf(c_212234,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_211362,c_137610]) ).
tcf(c_212236,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_211362,c_144958]) ).
tcf(c_212237,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_211362,c_151171]) ).
tcf(c_212238,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_211362,c_156248]) ).
tcf(c_212369,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK25(sK3),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK25(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212204,c_115430]) ).
tcf(c_212639,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_182046]) ).
tcf(c_212652,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_212639,c_1179]) ).
tcf(c_212653,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK16(iPr_def_28),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_212639,c_1178]) ).
tcf(c_212654,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK16(iPr_def_28),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_212639,c_152]) ).
tcf(c_212655,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212639,c_61]) ).
tcf(c_212657,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212639,c_292]) ).
tcf(c_212658,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_212639,c_8259]) ).
tcf(c_212659,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212639,c_8246]) ).
tcf(c_212683,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212659,c_120337]) ).
tcf(c_212713,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212657,c_116408]) ).
tcf(c_212714,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212657,c_116002]) ).
tcf(c_212715,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212657,c_115708]) ).
tcf(c_212716,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212657,c_114071]) ).
tcf(c_212762,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK16(iPr_def_28),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_212653,c_301]) ).
tcf(c_212763,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( sK16(iPr_def_28) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK16(iPr_def_28))
| ~ v1_tsp_1(sK16(iPr_def_28),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_212653,c_158]) ).
tcf(c_212764,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK16(iPr_def_28),X0)
| r1_tarski(sK16(iPr_def_28),sK7(X0,sK16(iPr_def_28)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_212653,c_155]) ).
tcf(c_212765,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK16(iPr_def_28),X0)
| v1_tsp_1(sK7(X0,sK16(iPr_def_28)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_212653,c_154]) ).
tcf(c_212766,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_212653,c_157]) ).
tcf(c_212767,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK20,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_212653,c_6743]) ).
tcf(c_212768,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK16(iPr_def_28))) = k1_funct_1(sK4,sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_116416]) ).
tcf(c_212769,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_116010]) ).
tcf(c_212770,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_114679]) ).
tcf(c_212771,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_28))) = k1_tarski(sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_115716]) ).
tcf(c_212772,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2) ),
inference(superposition,[status(thm)],[c_212653,c_116313]) ).
tcf(c_212773,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))))) = k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK16(iPr_def_28))),k4_tex_4(sK2,sK5(sK2,sK16(iPr_def_28)))) = k1_struct_0(sK2,sK5(sK2,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_114117]) ).
tcf(c_212774,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_116408]) ).
tcf(c_212775,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_116002]) ).
tcf(c_212776,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_115708]) ).
tcf(c_212777,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_114071]) ).
tcf(c_212778,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK16(iPr_def_28))) = k2_tex_4(sK3,sK5(sK3,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_116042]) ).
tcf(c_212779,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK16(iPr_def_28))) = k1_tarski(sK5(sK3,sK16(iPr_def_28))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_115769]) ).
tcf(c_212780,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_114678]) ).
tcf(c_212781,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK16(iPr_def_28),sK3) ),
inference(superposition,[status(thm)],[c_212653,c_116308]) ).
tcf(c_212782,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k4_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_116034]) ).
tcf(c_212783,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK3,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212653,c_115761]) ).
tcf(c_212955,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_211996,c_116408]) ).
tcf(c_212956,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_211996,c_116002]) ).
tcf(c_212957,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_211996,c_115708]) ).
tcf(c_212958,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_211996,c_114071]) ).
tcf(c_213032,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_212036,c_116408]) ).
tcf(c_213033,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_212036,c_116002]) ).
tcf(c_213034,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_212036,c_115708]) ).
tcf(c_213035,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_212036,c_114071]) ).
tcf(c_213083,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK2)) = k1_funct_1(sK4,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_212151,c_116408]) ).
tcf(c_213084,plain,
( ( k4_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_212151,c_116002]) ).
tcf(c_213085,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_212151,c_115708]) ).
tcf(c_213086,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK2)))) = k2_tex_4(sK2,sK25(sK2)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK2)),k4_tex_4(sK2,sK25(sK2))) = k1_struct_0(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_212151,c_114071]) ).
tcf(c_213101,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178442,c_1178]) ).
tcf(c_213102,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178442,c_152]) ).
tcf(c_213103,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178442,c_61]) ).
tcf(c_213105,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_178442,c_292]) ).
tcf(c_213106,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178442,c_8259]) ).
tcf(c_213107,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178442,c_8246]) ).
tcf(c_213118,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213107,c_116663,c_8268]) ).
tcf(c_213121,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213106,c_119983]) ).
tcf(c_213130,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178443,c_1178]) ).
tcf(c_213131,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178443,c_152]) ).
tcf(c_213132,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178443,c_61]) ).
tcf(c_213134,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_178443,c_292]) ).
tcf(c_213135,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178443,c_8259]) ).
tcf(c_213136,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178443,c_8246]) ).
tcf(c_213147,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213136,c_116663,c_8268]) ).
tcf(c_213150,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213135,c_119983]) ).
tcf(c_213159,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178444,c_1178]) ).
tcf(c_213160,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178444,c_152]) ).
tcf(c_213161,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178444,c_61]) ).
tcf(c_213163,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_178444,c_292]) ).
tcf(c_213164,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178444,c_8259]) ).
tcf(c_213165,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178444,c_8246]) ).
tcf(c_213176,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213165,c_116663,c_8268]) ).
tcf(c_213179,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213164,c_119983]) ).
tcf(c_213233,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178455,c_1178]) ).
tcf(c_213234,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_178455,c_152]) ).
tcf(c_213235,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178455,c_61]) ).
tcf(c_213237,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_178455,c_292]) ).
tcf(c_213238,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178455,c_8259]) ).
tcf(c_213239,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178455,c_8246]) ).
tcf(c_213250,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213239,c_116663,c_8268]) ).
tcf(c_213253,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213238,c_119983]) ).
tcf(c_213279,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_212654,c_1179]) ).
tcf(c_213280,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK16(iPr_def_28),X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_212654,c_1178]) ).
tcf(c_213281,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK16(iPr_def_28),X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_212654,c_152]) ).
tcf(c_213282,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_61]) ).
tcf(c_213285,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_212654,c_8259]) ).
tcf(c_213286,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212654,c_8246]) ).
tcf(c_213287,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_212654,c_8258]) ).
tcf(c_213288,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_212654,c_8245]) ).
tcf(c_213289,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK3)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_212654,c_114471]) ).
tcf(c_213290,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK16(iPr_def_28),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_212654,c_114472]) ).
tcf(c_213291,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK16(iPr_def_28),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK16(iPr_def_28),X0)) ),
inference(superposition,[status(thm)],[c_212654,c_114497]) ).
tcf(c_213292,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_212654,c_149729]) ).
tcf(c_213293,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_212654,c_149891]) ).
tcf(c_213294,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_212654,c_115529]) ).
tcf(c_213296,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_212654,c_128064]) ).
tcf(c_213297,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_127905]) ).
tcf(c_213298,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_xboole_0(sK16(iPr_def_28))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_212654,c_119169]) ).
tcf(c_213299,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_212654,c_125883]) ).
tcf(c_213300,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_125947]) ).
tcf(c_213301,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_212654,c_126685]) ).
tcf(c_213302,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_212654,c_126762]) ).
tcf(c_213303,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_212654,c_126825]) ).
tcf(c_213304,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_126913]) ).
tcf(c_213305,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_127040]) ).
tcf(c_213306,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_127267]) ).
tcf(c_213308,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_212654,c_127835]) ).
tcf(c_213312,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_212654,c_142563]) ).
tcf(c_213313,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_212654,c_131380]) ).
tcf(c_213314,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_212654,c_131637]) ).
tcf(c_213315,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_212654,c_131706]) ).
tcf(c_213316,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_212654,c_131771]) ).
tcf(c_213317,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_212654,c_134036]) ).
tcf(c_213318,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_212654,c_135483]) ).
tcf(c_213319,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_212654,c_137610]) ).
tcf(c_213320,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_212654,c_137793]) ).
tcf(c_213321,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_212654,c_144958]) ).
tcf(c_213322,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_212654,c_151171]) ).
tcf(c_213323,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_212654,c_156248]) ).
tcf(c_213324,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_212654,c_154067]) ).
tcf(c_213762,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_183166]) ).
tcf(c_213776,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_213762,c_1178]) ).
tcf(c_213777,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_213762,c_152]) ).
tcf(c_213778,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213762,c_61]) ).
tcf(c_213780,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213762,c_292]) ).
tcf(c_213781,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_213762,c_8259]) ).
tcf(c_213782,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213762,c_8246]) ).
tcf(c_213801,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213782,c_120337]) ).
tcf(c_213822,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213780,c_116408]) ).
tcf(c_213823,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213780,c_116002]) ).
tcf(c_213824,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213780,c_115708]) ).
tcf(c_213825,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213780,c_114071]) ).
tcf(c_213870,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(k1_tarski(iPr_def_27),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_213776,c_301]) ).
tcf(c_213871,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_tarski(iPr_def_27) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,k1_tarski(iPr_def_27))
| ~ v1_tsp_1(k1_tarski(iPr_def_27),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_213776,c_158]) ).
tcf(c_213872,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(k1_tarski(iPr_def_27),X0)
| r1_tarski(k1_tarski(iPr_def_27),sK7(X0,k1_tarski(iPr_def_27)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_213776,c_155]) ).
tcf(c_213873,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(k1_tarski(iPr_def_27),X0)
| v1_tsp_1(sK7(X0,k1_tarski(iPr_def_27)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_213776,c_154]) ).
tcf(c_213874,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_213776,c_157]) ).
tcf(c_213875,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK20,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_213776,c_6743]) ).
tcf(c_213880,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK2) ),
inference(superposition,[status(thm)],[c_213776,c_116313]) ).
tcf(c_213882,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_116408]) ).
tcf(c_213883,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_116002]) ).
tcf(c_213884,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_115708]) ).
tcf(c_213885,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_114071]) ).
tcf(c_213886,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ( k4_tex_4(sK3,sK5(sK3,k1_tarski(iPr_def_27))) = k2_tex_4(sK3,sK5(sK3,k1_tarski(iPr_def_27))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_116042]) ).
tcf(c_213887,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ( k1_struct_0(sK3,sK5(sK3,k1_tarski(iPr_def_27))) = k1_tarski(sK5(sK3,k1_tarski(iPr_def_27))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_115769]) ).
tcf(c_213888,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_114678]) ).
tcf(c_213889,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK3) ),
inference(superposition,[status(thm)],[c_213776,c_116308]) ).
tcf(c_213890,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_116034]) ).
tcf(c_213891,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK3,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_115761]) ).
tcf(c_213892,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213776,c_114680]) ).
tcf(c_214147,plain,
( ( k4_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_213105,c_116034]) ).
tcf(c_214148,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_213105,c_115761]) ).
tcf(c_214178,plain,
( ( k4_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_213134,c_116034]) ).
tcf(c_214179,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_213134,c_115761]) ).
tcf(c_214189,plain,
( ( k4_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_213163,c_116034]) ).
tcf(c_214190,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_213163,c_115761]) ).
tcf(c_214222,plain,
( ( k4_tex_4(sK3,sK17(sK3)) = k2_tex_4(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_213237,c_116034]) ).
tcf(c_214223,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_213237,c_115761]) ).
tcf(c_214247,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178457,c_1178]) ).
tcf(c_214248,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178457,c_152]) ).
tcf(c_214249,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178457,c_61]) ).
tcf(c_214251,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_178457,c_292]) ).
tcf(c_214252,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178457,c_8259]) ).
tcf(c_214253,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178457,c_8246]) ).
tcf(c_214264,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214253,c_120337]) ).
tcf(c_214312,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178458,c_1178]) ).
tcf(c_214313,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178458,c_152]) ).
tcf(c_214314,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178458,c_61]) ).
tcf(c_214316,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_178458,c_292]) ).
tcf(c_214317,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178458,c_8259]) ).
tcf(c_214318,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178458,c_8246]) ).
tcf(c_214329,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214318,c_120337]) ).
tcf(c_214369,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178459,c_1178]) ).
tcf(c_214370,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178459,c_152]) ).
tcf(c_214371,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178459,c_61]) ).
tcf(c_214373,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_178459,c_292]) ).
tcf(c_214374,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178459,c_8259]) ).
tcf(c_214375,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178459,c_8246]) ).
tcf(c_214386,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214375,c_120337]) ).
tcf(c_214549,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178460,c_1178]) ).
tcf(c_214550,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178460,c_152]) ).
tcf(c_214551,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178460,c_61]) ).
tcf(c_214553,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_178460,c_292]) ).
tcf(c_214554,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178460,c_8259]) ).
tcf(c_214555,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178460,c_8246]) ).
tcf(c_214566,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214555,c_120337]) ).
tcf(c_214585,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(k1_tarski(iPr_def_27),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_213777,c_1178]) ).
tcf(c_214586,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(k1_tarski(iPr_def_27),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_213777,c_152]) ).
tcf(c_214587,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_61]) ).
tcf(c_214590,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_213777,c_8259]) ).
tcf(c_214591,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_213777,c_8246]) ).
tcf(c_214592,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_213777,c_8258]) ).
tcf(c_214593,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_213777,c_8245]) ).
tcf(c_214594,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,k1_tarski(iPr_def_27))) ),
inference(superposition,[status(thm)],[c_213777,c_114471]) ).
tcf(c_214595,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,k1_tarski(iPr_def_27))) ),
inference(superposition,[status(thm)],[c_213777,c_114472]) ).
tcf(c_214596,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(k1_tarski(iPr_def_27),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(k1_tarski(iPr_def_27),X0)) ),
inference(superposition,[status(thm)],[c_213777,c_114497]) ).
tcf(c_214598,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_213777,c_149891]) ).
tcf(c_214599,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_213777,c_115529]) ).
tcf(c_214602,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_127905]) ).
tcf(c_214603,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(k1_tarski(iPr_def_27))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(k1_tarski(iPr_def_27))) ),
inference(superposition,[status(thm)],[c_213777,c_119169]) ).
tcf(c_214605,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_125947]) ).
tcf(c_214609,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_126913]) ).
tcf(c_214610,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_127040]) ).
tcf(c_214611,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_127267]) ).
tcf(c_214612,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_213777,c_127375]) ).
tcf(c_214614,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_213777,c_128180]) ).
tcf(c_214615,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_213777,c_131210]) ).
tcf(c_214616,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_213777,c_131277]) ).
tcf(c_214617,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_213777,c_142563]) ).
tcf(c_214620,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_213777,c_131706]) ).
tcf(c_214621,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_213777,c_131771]) ).
tcf(c_214622,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_213777,c_134036]) ).
tcf(c_214625,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_213777,c_137793]) ).
tcf(c_214626,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_213777,c_144958]) ).
tcf(c_214627,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_213777,c_151171]) ).
tcf(c_214629,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_213777,c_154067]) ).
tcf(c_214630,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(k1_tarski(iPr_def_27))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214603,c_191]) ).
tcf(c_214748,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(k1_tarski(iPr_def_27),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,k1_tarski(iPr_def_27))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214595,c_123747]) ).
tcf(c_215064,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_183956]) ).
tcf(c_215078,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK12(iPr_def_19),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_215064,c_1178]) ).
tcf(c_215079,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK12(iPr_def_19),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_215064,c_152]) ).
tcf(c_215080,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_215064,c_61]) ).
tcf(c_215082,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215064,c_292]) ).
tcf(c_215083,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215064,c_8259]) ).
tcf(c_215084,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215064,c_8246]) ).
tcf(c_215103,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215084,c_120337]) ).
tcf(c_215197,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215082,c_116408]) ).
tcf(c_215198,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215082,c_116002]) ).
tcf(c_215199,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215082,c_115708]) ).
tcf(c_215200,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215082,c_114071]) ).
tcf(c_215237,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK12(iPr_def_19),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_215078,c_301]) ).
tcf(c_215238,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( sK12(iPr_def_19) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_19))
| ~ v1_tsp_1(sK12(iPr_def_19),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_215078,c_158]) ).
tcf(c_215239,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK12(iPr_def_19),X0)
| r1_tarski(sK12(iPr_def_19),sK7(X0,sK12(iPr_def_19)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_215078,c_155]) ).
tcf(c_215240,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK12(iPr_def_19),X0)
| v1_tsp_1(sK7(X0,sK12(iPr_def_19)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_215078,c_154]) ).
tcf(c_215241,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_215078,c_157]) ).
tcf(c_215242,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK20,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_215078,c_6743]) ).
tcf(c_215243,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(iPr_def_19))) = k1_funct_1(sK4,sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_116416]) ).
tcf(c_215244,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_116010]) ).
tcf(c_215245,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_114679]) ).
tcf(c_215246,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_19))) = k1_tarski(sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_115716]) ).
tcf(c_215247,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2) ),
inference(superposition,[status(thm)],[c_215078,c_116313]) ).
tcf(c_215248,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_19))),k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_19)))) = k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_19))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_114117]) ).
tcf(c_215249,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_116408]) ).
tcf(c_215250,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_116002]) ).
tcf(c_215251,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_115708]) ).
tcf(c_215252,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_114071]) ).
tcf(c_215256,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(superposition,[status(thm)],[c_215078,c_116308]) ).
tcf(c_215257,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k4_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_116034]) ).
tcf(c_215258,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ( k1_struct_0(sK3,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_115761]) ).
tcf(c_215259,plain,
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215078,c_114680]) ).
tcf(c_215400,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK12(iPr_def_19),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_215079,c_1178]) ).
tcf(c_215401,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(sK12(iPr_def_19),X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_215079,c_152]) ).
tcf(c_215402,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_215079,c_61]) ).
tcf(c_215405,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_215079,c_8259]) ).
tcf(c_215406,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_215079,c_8246]) ).
tcf(c_215407,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_215079,c_8258]) ).
tcf(c_215408,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ( k2_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_215079,c_8245]) ).
tcf(c_215409,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_215079,c_114471]) ).
tcf(c_215410,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_215079,c_114472]) ).
tcf(c_215411,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r1_tarski(sK12(iPr_def_19),X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK12(iPr_def_19),X0)) ),
inference(superposition,[status(thm)],[c_215079,c_114497]) ).
tcf(c_215412,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_215079,c_149729]) ).
tcf(c_215414,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_215079,c_115529]) ).
tcf(c_215416,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_215079,c_128064]) ).
tcf(c_215418,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_xboole_0(sK12(iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_215079,c_119169]) ).
tcf(c_215419,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_215079,c_125883]) ).
tcf(c_215421,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_215079,c_126685]) ).
tcf(c_215422,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_215079,c_126762]) ).
tcf(c_215423,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_215079,c_126825]) ).
tcf(c_215427,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_215079,c_127375]) ).
tcf(c_215428,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_215079,c_127835]) ).
tcf(c_215429,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_215079,c_128180]) ).
tcf(c_215430,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_215079,c_131210]) ).
tcf(c_215431,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_215079,c_131277]) ).
tcf(c_215432,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_215079,c_142563]) ).
tcf(c_215433,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_215079,c_131380]) ).
tcf(c_215434,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_215079,c_131637]) ).
tcf(c_215438,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_215079,c_135483]) ).
tcf(c_215439,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_215079,c_137610]) ).
tcf(c_215441,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_215079,c_144958]) ).
tcf(c_215442,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_215079,c_151171]) ).
tcf(c_215443,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_215079,c_156248]) ).
tcf(c_215574,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK12(iPr_def_19))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215409,c_173]) ).
tcf(c_215831,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_214251,c_116408]) ).
tcf(c_215832,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_214251,c_116002]) ).
tcf(c_215833,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_214251,c_115708]) ).
tcf(c_215834,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_214251,c_114071]) ).
tcf(c_215857,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_214316,c_116408]) ).
tcf(c_215858,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_214316,c_116002]) ).
tcf(c_215859,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_214316,c_115708]) ).
tcf(c_215860,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_214316,c_114071]) ).
tcf(c_215924,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_214373,c_116408]) ).
tcf(c_215925,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_214373,c_116002]) ).
tcf(c_215926,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_214373,c_115708]) ).
tcf(c_215927,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_214373,c_114071]) ).
tcf(c_215977,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_214553,c_116408]) ).
tcf(c_215978,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_214553,c_116002]) ).
tcf(c_215979,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_214553,c_115708]) ).
tcf(c_215980,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_214553,c_114071]) ).
tcf(c_216043,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178462,c_1178]) ).
tcf(c_216044,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178462,c_152]) ).
tcf(c_216045,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178462,c_61]) ).
tcf(c_216047,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_178462,c_292]) ).
tcf(c_216048,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178462,c_8259]) ).
tcf(c_216049,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178462,c_8246]) ).
tcf(c_216060,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216049,c_120337]) ).
tcf(c_216208,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_178472,c_1178]) ).
tcf(c_216209,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_178472,c_152]) ).
tcf(c_216210,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178472,c_61]) ).
tcf(c_216212,plain,
( m1_subset_1(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_178472,c_292]) ).
tcf(c_216213,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178472,c_8259]) ).
tcf(c_216214,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178472,c_8246]) ).
tcf(c_216298,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178475,c_1178]) ).
tcf(c_216299,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_178475,c_152]) ).
tcf(c_216300,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_178475,c_61]) ).
tcf(c_216302,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_178475,c_292]) ).
tcf(c_216303,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK17(sK3))) = k1_struct_0(sK3,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_178475,c_8259]) ).
tcf(c_216304,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_178475,c_8246]) ).
tcf(c_216315,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216304,c_120337]) ).
tcf(c_216343,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179753,c_1178]) ).
tcf(c_216344,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179753,c_152]) ).
tcf(c_216345,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179753,c_61]) ).
tcf(c_216347,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_179753,c_292]) ).
tcf(c_216348,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179753,c_8259]) ).
tcf(c_216349,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179753,c_8246]) ).
tcf(c_216360,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216349,c_116663,c_8268]) ).
tcf(c_216363,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216348,c_119983]) ).
tcf(c_216399,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK25(sK3),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_195942,c_299]) ).
tcf(c_216416,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK16(iPr_def_28),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196025,c_299]) ).
tcf(c_216439,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(k1_tarski(iPr_def_27),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196151,c_299]) ).
tcf(c_216472,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK12(iPr_def_19),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196228,c_299]) ).
tcf(c_216490,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_196462]) ).
tcf(c_216504,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK12(iPr_def_21),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_216490,c_1178]) ).
tcf(c_216505,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK12(iPr_def_21),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_216490,c_152]) ).
tcf(c_216506,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216490,c_61]) ).
tcf(c_216508,plain,
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216490,c_292]) ).
tcf(c_216509,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_216490,c_8259]) ).
tcf(c_216510,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216490,c_8246]) ).
tcf(c_216529,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216510,c_120337]) ).
tcf(c_216550,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216508,c_116408]) ).
tcf(c_216551,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216508,c_116002]) ).
tcf(c_216552,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216508,c_115708]) ).
tcf(c_216553,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216508,c_114071]) ).
tcf(c_216639,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_216047,c_116408]) ).
tcf(c_216640,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_216047,c_116002]) ).
tcf(c_216641,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_216047,c_115708]) ).
tcf(c_216642,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_216047,c_114071]) ).
tcf(c_216670,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK17(sK3)) = k1_funct_1(sK4,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_216302,c_116408]) ).
tcf(c_216671,plain,
( ( k4_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_216302,c_116002]) ).
tcf(c_216672,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_216302,c_115708]) ).
tcf(c_216673,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK17(sK3)))) = k2_tex_4(sK2,sK17(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK17(sK3)),k4_tex_4(sK2,sK17(sK3))) = k1_struct_0(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_216302,c_114071]) ).
tcf(c_216704,plain,
( ( k4_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_216347,c_116034]) ).
tcf(c_216705,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_216347,c_115761]) ).
tcf(c_216715,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179754,c_1178]) ).
tcf(c_216716,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179754,c_152]) ).
tcf(c_216717,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179754,c_61]) ).
tcf(c_216719,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_179754,c_292]) ).
tcf(c_216720,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179754,c_8259]) ).
tcf(c_216721,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179754,c_8246]) ).
tcf(c_216732,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216721,c_116663,c_8268]) ).
tcf(c_216735,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216720,c_119983]) ).
tcf(c_216767,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179755,c_1178]) ).
tcf(c_216768,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179755,c_152]) ).
tcf(c_216769,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179755,c_61]) ).
tcf(c_216771,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_179755,c_292]) ).
tcf(c_216772,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179755,c_8259]) ).
tcf(c_216773,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179755,c_8246]) ).
tcf(c_216784,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216773,c_116663,c_8268]) ).
tcf(c_216787,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216772,c_119983]) ).
tcf(c_216806,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179766,c_1178]) ).
tcf(c_216807,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_179766,c_152]) ).
tcf(c_216808,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179766,c_61]) ).
tcf(c_216810,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_179766,c_292]) ).
tcf(c_216811,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179766,c_8259]) ).
tcf(c_216812,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179766,c_8246]) ).
tcf(c_216823,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216812,c_116663,c_8268]) ).
tcf(c_216826,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216811,c_119983]) ).
tcf(c_216877,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179768,c_1178]) ).
tcf(c_216878,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179768,c_152]) ).
tcf(c_216879,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179768,c_61]) ).
tcf(c_216881,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_179768,c_292]) ).
tcf(c_216882,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179768,c_8259]) ).
tcf(c_216883,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179768,c_8246]) ).
tcf(c_216894,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216883,c_120337]) ).
tcf(c_216924,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK12(iPr_def_21),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_216504,c_301]) ).
tcf(c_216925,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( sK12(iPr_def_21) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_21))
| ~ v1_tsp_1(sK12(iPr_def_21),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_216504,c_158]) ).
tcf(c_216926,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK12(iPr_def_21),X0)
| r1_tarski(sK12(iPr_def_21),sK7(X0,sK12(iPr_def_21)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_216504,c_155]) ).
tcf(c_216927,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK12(iPr_def_21),X0)
| v1_tsp_1(sK7(X0,sK12(iPr_def_21)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_216504,c_154]) ).
tcf(c_216928,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_216504,c_157]) ).
tcf(c_216929,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK20,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_216504,c_6743]) ).
tcf(c_216934,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(superposition,[status(thm)],[c_216504,c_116313]) ).
tcf(c_216936,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_116408]) ).
tcf(c_216937,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_116002]) ).
tcf(c_216938,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_115708]) ).
tcf(c_216939,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_114071]) ).
tcf(c_216940,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(iPr_def_21))) = k2_tex_4(sK3,sK5(sK3,sK12(iPr_def_21))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_116042]) ).
tcf(c_216941,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(iPr_def_21))) = k1_tarski(sK5(sK3,sK12(iPr_def_21))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_115769]) ).
tcf(c_216942,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_114678]) ).
tcf(c_216943,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_21),sK3) ),
inference(superposition,[status(thm)],[c_216504,c_116308]) ).
tcf(c_216944,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k4_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_116034]) ).
tcf(c_216945,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ( k1_struct_0(sK3,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_115761]) ).
tcf(c_216946,plain,
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_20,iPr_def_29)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216504,c_114680]) ).
tcf(c_217165,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK12(iPr_def_21),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_216505,c_1178]) ).
tcf(c_217166,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(sK12(iPr_def_21),X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_216505,c_152]) ).
tcf(c_217167,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_61]) ).
tcf(c_217170,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_216505,c_8259]) ).
tcf(c_217171,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_216505,c_8246]) ).
tcf(c_217172,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_216505,c_8258]) ).
tcf(c_217173,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ( k2_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_216505,c_8245]) ).
tcf(c_217174,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK3)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_216505,c_114471]) ).
tcf(c_217175,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_216505,c_114472]) ).
tcf(c_217176,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r1_tarski(sK12(iPr_def_21),X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK12(iPr_def_21),X0)) ),
inference(superposition,[status(thm)],[c_216505,c_114497]) ).
tcf(c_217178,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_216505,c_149891]) ).
tcf(c_217179,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_216505,c_115529]) ).
tcf(c_217182,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_127905]) ).
tcf(c_217183,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_xboole_0(sK12(iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_216505,c_119169]) ).
tcf(c_217185,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_125947]) ).
tcf(c_217189,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_126913]) ).
tcf(c_217190,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_127040]) ).
tcf(c_217191,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_127267]) ).
tcf(c_217192,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_216505,c_127375]) ).
tcf(c_217194,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_216505,c_128180]) ).
tcf(c_217195,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_216505,c_131210]) ).
tcf(c_217196,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_216505,c_131277]) ).
tcf(c_217197,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_216505,c_142563]) ).
tcf(c_217200,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_216505,c_131706]) ).
tcf(c_217201,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_216505,c_131771]) ).
tcf(c_217202,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_216505,c_134036]) ).
tcf(c_217205,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_216505,c_137793]) ).
tcf(c_217206,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_216505,c_144958]) ).
tcf(c_217207,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_216505,c_151171]) ).
tcf(c_217209,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_216505,c_154067]) ).
tcf(c_217328,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK12(iPr_def_21))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217175,c_173]) ).
tcf(c_217467,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_197387]) ).
tcf(c_217489,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK12(iPr_def_29),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_217467,c_1178]) ).
tcf(c_217490,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK12(iPr_def_29),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_217467,c_152]) ).
tcf(c_217491,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217467,c_61]) ).
tcf(c_217493,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217467,c_292]) ).
tcf(c_217494,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_217467,c_8259]) ).
tcf(c_217495,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217467,c_8246]) ).
tcf(c_217514,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217495,c_120337]) ).
tcf(c_217574,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217493,c_116408]) ).
tcf(c_217575,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217493,c_116002]) ).
tcf(c_217576,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217493,c_115708]) ).
tcf(c_217577,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217493,c_114071]) ).
tcf(c_217630,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK12(iPr_def_29),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_217489,c_301]) ).
tcf(c_217631,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( sK12(iPr_def_29) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK12(iPr_def_29))
| ~ v1_tsp_1(sK12(iPr_def_29),X1)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_217489,c_158]) ).
tcf(c_217632,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK12(iPr_def_29),X0)
| r1_tarski(sK12(iPr_def_29),sK7(X0,sK12(iPr_def_29)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_217489,c_155]) ).
tcf(c_217633,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK12(iPr_def_29),X0)
| v1_tsp_1(sK7(X0,sK12(iPr_def_29)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_217489,c_154]) ).
tcf(c_217634,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_217489,c_157]) ).
tcf(c_217635,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK20,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_217489,c_6743]) ).
tcf(c_217636,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK12(iPr_def_29))) = k1_funct_1(sK4,sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_116416]) ).
tcf(c_217637,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_116010]) ).
tcf(c_217638,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_114679]) ).
tcf(c_217639,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_29))) = k1_tarski(sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_115716]) ).
tcf(c_217640,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK2)
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2) ),
inference(superposition,[status(thm)],[c_217489,c_116313]) ).
tcf(c_217641,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))))) = k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK12(iPr_def_29))),k4_tex_4(sK2,sK5(sK2,sK12(iPr_def_29)))) = k1_struct_0(sK2,sK5(sK2,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_20,iPr_def_21)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_114117]) ).
tcf(c_217642,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_116408]) ).
tcf(c_217643,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_116002]) ).
tcf(c_217644,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_115708]) ).
tcf(c_217645,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_20,iPr_def_20)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_114071]) ).
tcf(c_217646,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK12(iPr_def_29))) = k2_tex_4(sK3,sK5(sK3,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_116042]) ).
tcf(c_217647,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK12(iPr_def_29))) = k1_tarski(sK5(sK3,sK12(iPr_def_29))) )
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_115769]) ).
tcf(c_217648,plain,
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_114678]) ).
tcf(c_217649,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK3)
| ~ r1_tarski(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_2(sK12(iPr_def_29),sK3) ),
inference(superposition,[status(thm)],[c_217489,c_116308]) ).
tcf(c_217650,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k4_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_116034]) ).
tcf(c_217651,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ( k1_struct_0(sK3,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_20,iPr_def_18)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217489,c_115761]) ).
tcf(c_217888,plain,
( ( k4_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_216719,c_116034]) ).
tcf(c_217889,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_216719,c_115761]) ).
tcf(c_217923,plain,
( ( k4_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_216771,c_116034]) ).
tcf(c_217924,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_216771,c_115761]) ).
tcf(c_217934,plain,
( ( k4_tex_4(sK3,sK19(sK3)) = k2_tex_4(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_216810,c_116034]) ).
tcf(c_217935,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_216810,c_115761]) ).
tcf(c_217945,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_216881,c_116408]) ).
tcf(c_217946,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_216881,c_116002]) ).
tcf(c_217947,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_216881,c_115708]) ).
tcf(c_217948,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_216881,c_114071]) ).
tcf(c_218063,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179769,c_1178]) ).
tcf(c_218064,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179769,c_152]) ).
tcf(c_218065,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179769,c_61]) ).
tcf(c_218067,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_179769,c_292]) ).
tcf(c_218068,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179769,c_8259]) ).
tcf(c_218069,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179769,c_8246]) ).
tcf(c_218080,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218069,c_120337]) ).
tcf(c_218127,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179770,c_1178]) ).
tcf(c_218128,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179770,c_152]) ).
tcf(c_218129,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179770,c_61]) ).
tcf(c_218131,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_179770,c_292]) ).
tcf(c_218132,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179770,c_8259]) ).
tcf(c_218133,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179770,c_8246]) ).
tcf(c_218144,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218133,c_120337]) ).
tcf(c_218245,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179771,c_1178]) ).
tcf(c_218246,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179771,c_152]) ).
tcf(c_218247,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179771,c_61]) ).
tcf(c_218249,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_179771,c_292]) ).
tcf(c_218250,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179771,c_8259]) ).
tcf(c_218251,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179771,c_8246]) ).
tcf(c_218262,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218251,c_120337]) ).
tcf(c_218284,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179773,c_1178]) ).
tcf(c_218285,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179773,c_152]) ).
tcf(c_218286,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179773,c_61]) ).
tcf(c_218288,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_179773,c_292]) ).
tcf(c_218289,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179773,c_8259]) ).
tcf(c_218290,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179773,c_8246]) ).
tcf(c_218301,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218290,c_120337]) ).
tcf(c_218370,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK12(iPr_def_29),X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_217490,c_1178]) ).
tcf(c_218371,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(sK12(iPr_def_29),X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_217490,c_152]) ).
tcf(c_218372,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ r2_hidden(X0,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_61]) ).
tcf(c_218375,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_217490,c_8259]) ).
tcf(c_218376,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_217490,c_8246]) ).
tcf(c_218377,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_217490,c_8258]) ).
tcf(c_218378,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ( k2_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_217490,c_8245]) ).
tcf(c_218379,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK3)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_19)
| ~ r1_tarski(iPr_def_20,sK5(sK3,sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_217490,c_114471]) ).
tcf(c_218380,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_1(sK12(iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK5(sK2,sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_217490,c_114472]) ).
tcf(c_218381,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r1_tarski(sK12(iPr_def_29),X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK6(sK12(iPr_def_29),X0)) ),
inference(superposition,[status(thm)],[c_217490,c_114497]) ).
tcf(c_218382,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_217490,c_149729]) ).
tcf(c_218383,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_217490,c_149891]) ).
tcf(c_218384,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_217490,c_115529]) ).
tcf(c_218386,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_217490,c_128064]) ).
tcf(c_218387,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_127905]) ).
tcf(c_218388,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_xboole_0(sK12(iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_217490,c_119169]) ).
tcf(c_218389,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_217490,c_125883]) ).
tcf(c_218390,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_125947]) ).
tcf(c_218391,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_217490,c_126685]) ).
tcf(c_218392,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_217490,c_126762]) ).
tcf(c_218393,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_217490,c_126825]) ).
tcf(c_218394,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_126913]) ).
tcf(c_218395,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_127040]) ).
tcf(c_218396,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_127267]) ).
tcf(c_218398,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_217490,c_127835]) ).
tcf(c_218402,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK12(X0))
| ~ r1_tarski(X0,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_217490,c_142563]) ).
tcf(c_218403,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_217490,c_131380]) ).
tcf(c_218404,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_217490,c_131637]) ).
tcf(c_218405,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_217490,c_131706]) ).
tcf(c_218406,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_217490,c_131771]) ).
tcf(c_218407,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_217490,c_134036]) ).
tcf(c_218408,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_217490,c_135483]) ).
tcf(c_218409,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_217490,c_137610]) ).
tcf(c_218410,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_217490,c_137793]) ).
tcf(c_218411,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_217490,c_144958]) ).
tcf(c_218412,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_18,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_217490,c_151171]) ).
tcf(c_218413,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_217490,c_156248]) ).
tcf(c_218414,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_20,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_217490,c_154067]) ).
tcf(c_218980,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK12(iPr_def_21),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_198750,c_299]) ).
tcf(c_218997,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(sK12(iPr_def_29),sK7(sK2,X0))
| ~ r1_tarski(iPr_def_29,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_198840,c_299]) ).
tcf(c_219053,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_218067,c_116408]) ).
tcf(c_219054,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_218067,c_116002]) ).
tcf(c_219055,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_218067,c_115708]) ).
tcf(c_219056,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_218067,c_114071]) ).
tcf(c_219071,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_218131,c_116408]) ).
tcf(c_219072,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_218131,c_116002]) ).
tcf(c_219073,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_218131,c_115708]) ).
tcf(c_219074,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_218131,c_114071]) ).
tcf(c_219089,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_218249,c_116408]) ).
tcf(c_219090,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_218249,c_116002]) ).
tcf(c_219091,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_218249,c_115708]) ).
tcf(c_219092,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_218249,c_114071]) ).
tcf(c_219171,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_218288,c_116408]) ).
tcf(c_219172,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_218288,c_116002]) ).
tcf(c_219173,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_218288,c_115708]) ).
tcf(c_219174,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_218288,c_114071]) ).
tcf(c_219189,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_179783,c_1178]) ).
tcf(c_219190,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_179783,c_152]) ).
tcf(c_219191,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179783,c_61]) ).
tcf(c_219193,plain,
( m1_subset_1(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_179783,c_292]) ).
tcf(c_219194,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179783,c_8259]) ).
tcf(c_219195,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179783,c_8246]) ).
tcf(c_219340,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179786,c_1178]) ).
tcf(c_219341,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_179786,c_152]) ).
tcf(c_219342,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_179786,c_61]) ).
tcf(c_219344,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_179786,c_292]) ).
tcf(c_219345,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK19(sK3))) = k1_struct_0(sK3,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179786,c_8259]) ).
tcf(c_219346,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179786,c_8246]) ).
tcf(c_219357,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219346,c_120337]) ).
tcf(c_219370,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181113,c_1178]) ).
tcf(c_219371,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181113,c_152]) ).
tcf(c_219372,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181113,c_61]) ).
tcf(c_219374,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_181113,c_292]) ).
tcf(c_219375,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181113,c_8259]) ).
tcf(c_219376,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181113,c_8246]) ).
tcf(c_219387,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219376,c_116663,c_8268]) ).
tcf(c_219390,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219375,c_119983]) ).
tcf(c_219399,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181114,c_1178]) ).
tcf(c_219400,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181114,c_152]) ).
tcf(c_219401,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181114,c_61]) ).
tcf(c_219403,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_181114,c_292]) ).
tcf(c_219404,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181114,c_8259]) ).
tcf(c_219405,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181114,c_8246]) ).
tcf(c_219416,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219405,c_116663,c_8268]) ).
tcf(c_219419,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219404,c_119983]) ).
tcf(c_219517,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK19(sK3)) = k1_funct_1(sK4,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_219344,c_116408]) ).
tcf(c_219518,plain,
( ( k4_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_219344,c_116002]) ).
tcf(c_219519,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_219344,c_115708]) ).
tcf(c_219520,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK19(sK3)))) = k2_tex_4(sK2,sK19(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK19(sK3)),k4_tex_4(sK2,sK19(sK3))) = k1_struct_0(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_219344,c_114071]) ).
tcf(c_219535,plain,
( ( k4_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_219374,c_116034]) ).
tcf(c_219536,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_219374,c_115761]) ).
tcf(c_219546,plain,
( ( k4_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_219403,c_116034]) ).
tcf(c_219547,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_219403,c_115761]) ).
tcf(c_219557,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181115,c_1178]) ).
tcf(c_219558,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181115,c_152]) ).
tcf(c_219559,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181115,c_61]) ).
tcf(c_219561,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_181115,c_292]) ).
tcf(c_219562,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181115,c_8259]) ).
tcf(c_219563,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181115,c_8246]) ).
tcf(c_219574,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219563,c_116663,c_8268]) ).
tcf(c_219577,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219562,c_119983]) ).
tcf(c_219605,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181126,c_1178]) ).
tcf(c_219606,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_181126,c_152]) ).
tcf(c_219607,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181126,c_61]) ).
tcf(c_219609,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_181126,c_292]) ).
tcf(c_219610,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181126,c_8259]) ).
tcf(c_219611,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181126,c_8246]) ).
tcf(c_219622,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219611,c_116663,c_8268]) ).
tcf(c_219625,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219610,c_119983]) ).
tcf(c_219634,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181128,c_1178]) ).
tcf(c_219635,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181128,c_152]) ).
tcf(c_219636,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181128,c_61]) ).
tcf(c_219638,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_181128,c_292]) ).
tcf(c_219639,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181128,c_8259]) ).
tcf(c_219640,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181128,c_8246]) ).
tcf(c_219651,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219640,c_120337]) ).
tcf(c_219761,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181129,c_1178]) ).
tcf(c_219762,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181129,c_152]) ).
tcf(c_219763,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181129,c_61]) ).
tcf(c_219765,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_181129,c_292]) ).
tcf(c_219766,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181129,c_8259]) ).
tcf(c_219767,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181129,c_8246]) ).
tcf(c_219778,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_219767,c_120337]) ).
tcf(c_219818,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK19(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_136846,c_112012]) ).
tcf(c_219828,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK25(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_137034,c_112049]) ).
tcf(c_219873,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK16(iPr_def_28),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_137083,c_112059]) ).
tcf(c_219883,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_19),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_137349,c_112476]) ).
tcf(c_219903,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,sK12(sK7(sK2,sK7(sK2,iPr_def_19))))) = k1_struct_0(sK2,sK12(sK7(sK2,sK7(sK2,iPr_def_19)))) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_138172]) ).
tcf(c_219921,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_26,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_138173,c_299]) ).
tcf(c_219938,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,sK12(sK7(sK2,sK7(sK2,iPr_def_21))))) = k1_struct_0(sK2,sK12(sK7(sK2,sK7(sK2,iPr_def_21)))) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_138311]) ).
tcf(c_219950,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK6(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)) ),
inference(superposition,[status(thm)],[c_164031,c_115642]) ).
tcf(c_219951,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK12(k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) ),
inference(superposition,[status(thm)],[c_164031,c_119176]) ).
tcf(c_219952,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_164031,c_137803]) ).
tcf(c_219953,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_164031,c_137620]) ).
tcf(c_219954,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_164031,c_135494]) ).
tcf(c_219955,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_164031,c_134047]) ).
tcf(c_219956,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_164031,c_131781]) ).
tcf(c_219957,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_164031,c_131716]) ).
tcf(c_219958,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_164031,c_131647]) ).
tcf(c_219959,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_164031,c_131390]) ).
tcf(c_219960,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164031,c_131287]) ).
tcf(c_219961,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164031,c_131220]) ).
tcf(c_219962,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_164031,c_128189]) ).
tcf(c_219963,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_164031,c_128073]) ).
tcf(c_219964,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_164031,c_127914]) ).
tcf(c_219965,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_164031,c_127844]) ).
tcf(c_219966,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_164031,c_127384]) ).
tcf(c_219967,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_164031,c_127276]) ).
tcf(c_219968,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_164031,c_127049]) ).
tcf(c_219969,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_164031,c_126922]) ).
tcf(c_219970,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_164031,c_126834]) ).
tcf(c_219971,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_164031,c_126771]) ).
tcf(c_219972,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_164031,c_126694]) ).
tcf(c_219973,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164031,c_125956]) ).
tcf(c_219974,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_164031,c_125892]) ).
tcf(c_219975,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164031,c_132457]) ).
tcf(c_219976,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_164031,c_123330]) ).
tcf(c_219977,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164031,c_127185]) ).
tcf(c_219978,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_28)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_29) ),
inference(superposition,[status(thm)],[c_164031,c_121839]) ).
tcf(c_219979,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164031,c_121727]) ).
tcf(c_219980,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_164031,c_121402]) ).
tcf(c_219981,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164031,c_114887]) ).
tcf(c_219982,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164031,c_120313]) ).
tcf(c_219983,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_164031,c_115617]) ).
tcf(c_219984,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK7(sK2,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24)))))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164031,c_117916]) ).
tcf(c_219985,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164031,c_116655]) ).
tcf(c_219986,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK5(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) ),
inference(superposition,[status(thm)],[c_164031,c_115537]) ).
tcf(c_219987,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK5(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) ),
inference(superposition,[status(thm)],[c_164031,c_115536]) ).
tcf(c_219988,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),X0) ),
inference(superposition,[status(thm)],[c_164031,c_115531]) ).
tcf(c_219989,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),X0) ),
inference(superposition,[status(thm)],[c_164031,c_115276]) ).
tcf(c_219990,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_funct_1(sK4,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_164031,c_114473]) ).
tcf(c_219991,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164031,c_114316]) ).
tcf(c_219992,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164031,c_114292]) ).
tcf(c_219993,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164031,c_8275]) ).
tcf(c_219994,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK12(X0)) ),
inference(superposition,[status(thm)],[c_164031,c_142573]) ).
tcf(c_219995,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_164031,c_115645]) ).
tcf(c_219996,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_164031,c_115529]) ).
tcf(c_220506,plain,
( ( k4_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_219561,c_116034]) ).
tcf(c_220507,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_219561,c_115761]) ).
tcf(c_220517,plain,
( ( k4_tex_4(sK3,sK25(sK3)) = k2_tex_4(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_219609,c_116034]) ).
tcf(c_220518,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_219609,c_115761]) ).
tcf(c_220528,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_219638,c_116408]) ).
tcf(c_220529,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_219638,c_116002]) ).
tcf(c_220530,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_219638,c_115708]) ).
tcf(c_220531,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_219638,c_114071]) ).
tcf(c_220560,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_219765,c_116408]) ).
tcf(c_220561,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_219765,c_116002]) ).
tcf(c_220562,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_219765,c_115708]) ).
tcf(c_220563,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_219765,c_114071]) ).
tcf(c_220578,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181130,c_1178]) ).
tcf(c_220579,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181130,c_152]) ).
tcf(c_220580,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181130,c_61]) ).
tcf(c_220582,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_181130,c_292]) ).
tcf(c_220583,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181130,c_8259]) ).
tcf(c_220584,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181130,c_8246]) ).
tcf(c_220595,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220584,c_120337]) ).
tcf(c_220706,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181131,c_1178]) ).
tcf(c_220707,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181131,c_152]) ).
tcf(c_220708,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181131,c_61]) ).
tcf(c_220710,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_181131,c_292]) ).
tcf(c_220711,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181131,c_8259]) ).
tcf(c_220712,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181131,c_8246]) ).
tcf(c_220723,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220712,c_120337]) ).
tcf(c_220736,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181133,c_1178]) ).
tcf(c_220737,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181133,c_152]) ).
tcf(c_220738,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181133,c_61]) ).
tcf(c_220740,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_181133,c_292]) ).
tcf(c_220741,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181133,c_8259]) ).
tcf(c_220742,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181133,c_8246]) ).
tcf(c_220753,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220742,c_120337]) ).
tcf(c_220766,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_181143,c_1178]) ).
tcf(c_220767,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_181143,c_152]) ).
tcf(c_220768,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181143,c_61]) ).
tcf(c_220770,plain,
( m1_subset_1(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_181143,c_292]) ).
tcf(c_220771,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181143,c_8259]) ).
tcf(c_220772,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181143,c_8246]) ).
tcf(c_220879,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) ) ),
inference(global_subsumption_just,[status(thm)],[c_219993,c_107994]) ).
tcf(c_220885,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),X0) ),
inference(superposition,[status(thm)],[c_220879,c_1179]) ).
tcf(c_220886,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),X0) ),
inference(superposition,[status(thm)],[c_220879,c_1178]) ).
tcf(c_220887,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),X0) ),
inference(superposition,[status(thm)],[c_220879,c_152]) ).
tcf(c_220888,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ r2_hidden(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_funct_1(sK4,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_220879,c_61]) ).
tcf(c_220889,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_220879,c_305]) ).
tcf(c_220890,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_220879,c_292]) ).
tcf(c_220891,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_220879,c_8259]) ).
tcf(c_220892,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_220879,c_8246]) ).
tcf(c_220967,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_114498,c_220885]) ).
tcf(c_220970,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24)))) ),
inference(superposition,[status(thm)],[c_116849,c_220885]) ).
tcf(c_220971,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_24)))) ),
inference(superposition,[status(thm)],[c_116843,c_220885]) ).
tcf(c_221033,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_220886]) ).
tcf(c_221034,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_220886]) ).
tcf(c_221035,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_220886]) ).
tcf(c_221062,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_220887]) ).
tcf(c_221063,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_220887]) ).
tcf(c_221064,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_220887]) ).
tcf(c_221152,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK6(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)) ),
inference(superposition,[status(thm)],[c_164034,c_115642]) ).
tcf(c_221153,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK12(k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) ),
inference(superposition,[status(thm)],[c_164034,c_119176]) ).
tcf(c_221154,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_164034,c_137803]) ).
tcf(c_221155,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_164034,c_137620]) ).
tcf(c_221156,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_164034,c_135494]) ).
tcf(c_221157,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_164034,c_134047]) ).
tcf(c_221158,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_164034,c_131781]) ).
tcf(c_221159,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_164034,c_131716]) ).
tcf(c_221160,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_164034,c_131647]) ).
tcf(c_221161,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_164034,c_131390]) ).
tcf(c_221162,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164034,c_131287]) ).
tcf(c_221163,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164034,c_131220]) ).
tcf(c_221164,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_164034,c_128189]) ).
tcf(c_221165,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_164034,c_128073]) ).
tcf(c_221166,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_164034,c_127914]) ).
tcf(c_221167,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_164034,c_127844]) ).
tcf(c_221168,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_164034,c_127384]) ).
tcf(c_221169,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_164034,c_127276]) ).
tcf(c_221170,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_164034,c_127049]) ).
tcf(c_221171,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_164034,c_126922]) ).
tcf(c_221172,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_164034,c_126834]) ).
tcf(c_221173,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_164034,c_126771]) ).
tcf(c_221174,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_164034,c_126694]) ).
tcf(c_221175,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164034,c_125956]) ).
tcf(c_221176,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_164034,c_125892]) ).
tcf(c_221177,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164034,c_132457]) ).
tcf(c_221178,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_164034,c_123330]) ).
tcf(c_221179,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164034,c_127185]) ).
tcf(c_221180,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_28)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_29) ),
inference(superposition,[status(thm)],[c_164034,c_121839]) ).
tcf(c_221181,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164034,c_121727]) ).
tcf(c_221182,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_164034,c_121402]) ).
tcf(c_221183,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164034,c_114887]) ).
tcf(c_221184,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164034,c_120313]) ).
tcf(c_221185,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_164034,c_115617]) ).
tcf(c_221186,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK7(sK2,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23)))))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164034,c_117916]) ).
tcf(c_221187,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164034,c_116655]) ).
tcf(c_221188,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK5(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) ),
inference(superposition,[status(thm)],[c_164034,c_115537]) ).
tcf(c_221189,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK5(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) ),
inference(superposition,[status(thm)],[c_164034,c_115536]) ).
tcf(c_221190,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),X0) ),
inference(superposition,[status(thm)],[c_164034,c_115531]) ).
tcf(c_221191,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),X0) ),
inference(superposition,[status(thm)],[c_164034,c_115276]) ).
tcf(c_221192,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_funct_1(sK4,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_164034,c_114473]) ).
tcf(c_221193,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164034,c_114316]) ).
tcf(c_221194,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164034,c_114292]) ).
tcf(c_221195,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164034,c_8275]) ).
tcf(c_221196,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK12(X0)) ),
inference(superposition,[status(thm)],[c_164034,c_142573]) ).
tcf(c_221197,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_164034,c_115645]) ).
tcf(c_221198,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_164034,c_115529]) ).
tcf(c_221689,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_220582,c_116408]) ).
tcf(c_221690,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_220582,c_116002]) ).
tcf(c_221691,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_220582,c_115708]) ).
tcf(c_221692,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_220582,c_114071]) ).
tcf(c_221707,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_220710,c_116408]) ).
tcf(c_221708,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_220710,c_116002]) ).
tcf(c_221709,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_220710,c_115708]) ).
tcf(c_221710,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_220710,c_114071]) ).
tcf(c_221725,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_220740,c_116408]) ).
tcf(c_221726,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_220740,c_116002]) ).
tcf(c_221727,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_220740,c_115708]) ).
tcf(c_221728,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_220740,c_114071]) ).
tcf(c_221770,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181146,c_1178]) ).
tcf(c_221771,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_181146,c_152]) ).
tcf(c_221772,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_181146,c_61]) ).
tcf(c_221774,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_181146,c_292]) ).
tcf(c_221775,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK25(sK3))) = k1_struct_0(sK3,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181146,c_8259]) ).
tcf(c_221776,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181146,c_8246]) ).
tcf(c_221787,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221776,c_120337]) ).
tcf(c_222056,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182017,c_1179]) ).
tcf(c_222057,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182017,c_1178]) ).
tcf(c_222058,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182017,c_152]) ).
tcf(c_222059,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182017,c_61]) ).
tcf(c_222061,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_182017,c_292]) ).
tcf(c_222062,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182017,c_8259]) ).
tcf(c_222063,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182017,c_8246]) ).
tcf(c_222077,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222063,c_116663,c_8268]) ).
tcf(c_222080,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222062,c_119983]) ).
tcf(c_222106,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182018,c_1179]) ).
tcf(c_222107,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182018,c_1178]) ).
tcf(c_222108,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182018,c_152]) ).
tcf(c_222109,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182018,c_61]) ).
tcf(c_222111,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_182018,c_292]) ).
tcf(c_222112,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182018,c_8259]) ).
tcf(c_222113,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182018,c_8246]) ).
tcf(c_222127,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222113,c_116663,c_8268]) ).
tcf(c_222130,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222112,c_119983]) ).
tcf(c_222328,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) ) ),
inference(global_subsumption_just,[status(thm)],[c_221195,c_109043]) ).
tcf(c_222334,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),X0) ),
inference(superposition,[status(thm)],[c_222328,c_1179]) ).
tcf(c_222335,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),X0) ),
inference(superposition,[status(thm)],[c_222328,c_1178]) ).
tcf(c_222336,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),X0) ),
inference(superposition,[status(thm)],[c_222328,c_152]) ).
tcf(c_222337,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ r2_hidden(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_funct_1(sK4,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_222328,c_61]) ).
tcf(c_222338,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_222328,c_305]) ).
tcf(c_222339,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_222328,c_292]) ).
tcf(c_222340,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_222328,c_8259]) ).
tcf(c_222341,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_222328,c_8246]) ).
tcf(c_222525,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_114498,c_222334]) ).
tcf(c_222528,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23)))) ),
inference(superposition,[status(thm)],[c_116849,c_222334]) ).
tcf(c_222529,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_23)))) ),
inference(superposition,[status(thm)],[c_116843,c_222334]) ).
tcf(c_222560,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_222335]) ).
tcf(c_222561,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_222335]) ).
tcf(c_222562,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_222335]) ).
tcf(c_222584,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_222336]) ).
tcf(c_222585,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_222336]) ).
tcf(c_222586,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_222336]) ).
tcf(c_222875,plain,
! [X0: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK6(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)) ),
inference(superposition,[status(thm)],[c_164037,c_115642]) ).
tcf(c_222876,plain,
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK12(k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) ),
inference(superposition,[status(thm)],[c_164037,c_119176]) ).
tcf(c_222877,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_164037,c_137803]) ).
tcf(c_222878,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_164037,c_137620]) ).
tcf(c_222879,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_164037,c_135494]) ).
tcf(c_222880,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_164037,c_134047]) ).
tcf(c_222881,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_164037,c_131781]) ).
tcf(c_222882,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_164037,c_131716]) ).
tcf(c_222883,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_164037,c_131647]) ).
tcf(c_222884,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_164037,c_131390]) ).
tcf(c_222885,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164037,c_131287]) ).
tcf(c_222886,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164037,c_131220]) ).
tcf(c_222887,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_164037,c_128189]) ).
tcf(c_222888,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_164037,c_128073]) ).
tcf(c_222889,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_164037,c_127914]) ).
tcf(c_222890,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_164037,c_127844]) ).
tcf(c_222891,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_164037,c_127384]) ).
tcf(c_222892,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_164037,c_127276]) ).
tcf(c_222893,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_164037,c_127049]) ).
tcf(c_222894,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_164037,c_126922]) ).
tcf(c_222895,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_164037,c_126834]) ).
tcf(c_222896,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_164037,c_126771]) ).
tcf(c_222897,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_164037,c_126694]) ).
tcf(c_222898,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_164037,c_125956]) ).
tcf(c_222899,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_164037,c_125892]) ).
tcf(c_222900,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ r1_tarski(iPr_def_20,X0)
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164037,c_132457]) ).
tcf(c_222901,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r2_hidden(iPr_def_18,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_164037,c_123330]) ).
tcf(c_222902,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_29)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164037,c_127185]) ).
tcf(c_222903,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_28)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_29) ),
inference(superposition,[status(thm)],[c_164037,c_121839]) ).
tcf(c_222904,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164037,c_121727]) ).
tcf(c_222905,plain,
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_164037,c_121402]) ).
tcf(c_222906,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164037,c_114887]) ).
tcf(c_222907,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164037,c_120313]) ).
tcf(c_222908,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_164037,c_115617]) ).
tcf(c_222909,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| v1_tsp_2(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK7(sK2,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22)))))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164037,c_117916]) ).
tcf(c_222910,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ v1_tsp_2(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK2)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_164037,c_116655]) ).
tcf(c_222911,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK5(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) ),
inference(superposition,[status(thm)],[c_164037,c_115537]) ).
tcf(c_222912,plain,
( v1_tsp_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)),iPr_def_19)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK5(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) ),
inference(superposition,[status(thm)],[c_164037,c_115536]) ).
tcf(c_222913,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),X0) ),
inference(superposition,[status(thm)],[c_164037,c_115531]) ).
tcf(c_222914,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),X0) ),
inference(superposition,[status(thm)],[c_164037,c_115276]) ).
tcf(c_222915,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r2_hidden(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_funct_1(sK4,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_164037,c_114473]) ).
tcf(c_222916,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164037,c_114316]) ).
tcf(c_222917,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_18)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164037,c_114292]) ).
tcf(c_222918,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_164037,c_8275]) ).
tcf(c_222919,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK12(X0)) ),
inference(superposition,[status(thm)],[c_164037,c_142573]) ).
tcf(c_222920,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_164037,c_115645]) ).
tcf(c_222921,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_164037,c_115529]) ).
tcf(c_223474,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK25(sK3)) = k1_funct_1(sK4,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_221774,c_116408]) ).
tcf(c_223475,plain,
( ( k4_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_221774,c_116002]) ).
tcf(c_223476,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_221774,c_115708]) ).
tcf(c_223477,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK25(sK3)))) = k2_tex_4(sK2,sK25(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK25(sK3)),k4_tex_4(sK2,sK25(sK3))) = k1_struct_0(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_221774,c_114071]) ).
tcf(c_223492,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_222061,c_116034]) ).
tcf(c_223493,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_222061,c_115761]) ).
tcf(c_223503,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_222111,c_116034]) ).
tcf(c_223504,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_222111,c_115761]) ).
tcf(c_223517,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182019,c_1179]) ).
tcf(c_223518,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182019,c_1178]) ).
tcf(c_223519,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182019,c_152]) ).
tcf(c_223520,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182019,c_61]) ).
tcf(c_223522,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_182019,c_292]) ).
tcf(c_223523,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182019,c_8259]) ).
tcf(c_223524,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182019,c_8246]) ).
tcf(c_223538,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223524,c_116663,c_8268]) ).
tcf(c_223541,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223523,c_119983]) ).
tcf(c_223549,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182030,c_1179]) ).
tcf(c_223550,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182030,c_1178]) ).
tcf(c_223551,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_182030,c_152]) ).
tcf(c_223552,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182030,c_61]) ).
tcf(c_223554,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_182030,c_292]) ).
tcf(c_223555,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182030,c_8259]) ).
tcf(c_223556,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182030,c_8246]) ).
tcf(c_223570,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223556,c_116663,c_8268]) ).
tcf(c_223573,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223555,c_119983]) ).
tcf(c_223581,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182032,c_1179]) ).
tcf(c_223582,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182032,c_1178]) ).
tcf(c_223583,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182032,c_152]) ).
tcf(c_223584,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182032,c_61]) ).
tcf(c_223586,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_182032,c_292]) ).
tcf(c_223587,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182032,c_8259]) ).
tcf(c_223588,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182032,c_8246]) ).
tcf(c_223602,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223588,c_120337]) ).
tcf(c_223626,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182033,c_1179]) ).
tcf(c_223627,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182033,c_1178]) ).
tcf(c_223628,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182033,c_152]) ).
tcf(c_223629,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182033,c_61]) ).
tcf(c_223631,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_182033,c_292]) ).
tcf(c_223632,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182033,c_8259]) ).
tcf(c_223633,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182033,c_8246]) ).
tcf(c_223647,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223633,c_120337]) ).
tcf(c_223709,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) ) ),
inference(global_subsumption_just,[status(thm)],[c_222918,c_109876]) ).
tcf(c_223715,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),X0) ),
inference(superposition,[status(thm)],[c_223709,c_1179]) ).
tcf(c_223716,plain,
! [X0: $i] :
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),X0) ),
inference(superposition,[status(thm)],[c_223709,c_1178]) ).
tcf(c_223717,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),X0) ),
inference(superposition,[status(thm)],[c_223709,c_152]) ).
tcf(c_223718,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ r2_hidden(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_funct_1(sK4,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_223709,c_61]) ).
tcf(c_223719,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_223709,c_305]) ).
tcf(c_223720,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_223709,c_292]) ).
tcf(c_223721,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_223709,c_8259]) ).
tcf(c_223722,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_223709,c_8246]) ).
tcf(c_223800,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_114498,c_223715]) ).
tcf(c_223803,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22)))) ),
inference(superposition,[status(thm)],[c_116849,c_223715]) ).
tcf(c_223804,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_22)))) ),
inference(superposition,[status(thm)],[c_116843,c_223715]) ).
tcf(c_223835,plain,
( m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_223716]) ).
tcf(c_223836,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_223716]) ).
tcf(c_223837,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_223716]) ).
tcf(c_223859,plain,
( r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20) ),
inference(superposition,[status(thm)],[c_121717,c_223717]) ).
tcf(c_223860,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_223717]) ).
tcf(c_223861,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK7(sK3,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_223717]) ).
tcf(c_223902,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_223522,c_116034]) ).
tcf(c_223903,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_223522,c_115761]) ).
tcf(c_223927,plain,
( ( k4_tex_4(sK3,sK16(iPr_def_28)) = k2_tex_4(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_223554,c_116034]) ).
tcf(c_223928,plain,
( ( k1_struct_0(sK3,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_223554,c_115761]) ).
tcf(c_223938,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_223586,c_116408]) ).
tcf(c_223939,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_223586,c_116002]) ).
tcf(c_223940,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_223586,c_115708]) ).
tcf(c_223941,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_223586,c_114071]) ).
tcf(c_223979,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_223631,c_116408]) ).
tcf(c_223980,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_223631,c_116002]) ).
tcf(c_223981,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_223631,c_115708]) ).
tcf(c_223982,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_223631,c_114071]) ).
tcf(c_224059,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182034,c_1179]) ).
tcf(c_224060,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182034,c_1178]) ).
tcf(c_224061,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182034,c_152]) ).
tcf(c_224062,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182034,c_61]) ).
tcf(c_224064,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_182034,c_292]) ).
tcf(c_224065,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182034,c_8259]) ).
tcf(c_224066,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182034,c_8246]) ).
tcf(c_224080,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224066,c_120337]) ).
tcf(c_224113,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182035,c_1179]) ).
tcf(c_224114,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182035,c_1178]) ).
tcf(c_224115,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182035,c_152]) ).
tcf(c_224116,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182035,c_61]) ).
tcf(c_224118,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_182035,c_292]) ).
tcf(c_224119,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182035,c_8259]) ).
tcf(c_224120,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182035,c_8246]) ).
tcf(c_224134,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224120,c_120337]) ).
tcf(c_224178,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182037,c_1179]) ).
tcf(c_224179,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182037,c_1178]) ).
tcf(c_224180,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182037,c_152]) ).
tcf(c_224181,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182037,c_61]) ).
tcf(c_224183,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_182037,c_292]) ).
tcf(c_224184,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182037,c_8259]) ).
tcf(c_224185,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182037,c_8246]) ).
tcf(c_224199,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224185,c_120337]) ).
tcf(c_224293,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_182047,c_1179]) ).
tcf(c_224294,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_182047,c_1178]) ).
tcf(c_224295,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_182047,c_152]) ).
tcf(c_224296,plain,
( ~ r1_tarski(iPr_def_29,sK4)
| ~ r2_hidden(iPr_def_28,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182047,c_61]) ).
tcf(c_224298,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_182047,c_292]) ).
tcf(c_224299,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182047,c_8259]) ).
tcf(c_224300,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182047,c_8246]) ).
tcf(c_224344,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),k4_tex_4(sK2,sK12(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24)))))) = k1_struct_0(sK2,sK12(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_220970]) ).
tcf(c_224360,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),k4_tex_4(sK2,sK12(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23)))))) = k1_struct_0(sK2,sK12(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_222528]) ).
tcf(c_224377,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_224064,c_116408]) ).
tcf(c_224378,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_224064,c_116002]) ).
tcf(c_224379,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_224064,c_115708]) ).
tcf(c_224380,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_224064,c_114071]) ).
tcf(c_224395,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_224118,c_116408]) ).
tcf(c_224396,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_224118,c_116002]) ).
tcf(c_224397,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_224118,c_115708]) ).
tcf(c_224398,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_224118,c_114071]) ).
tcf(c_224413,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_224183,c_116408]) ).
tcf(c_224414,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_224183,c_116002]) ).
tcf(c_224415,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_224183,c_115708]) ).
tcf(c_224416,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_224183,c_114071]) ).
tcf(c_224435,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182050,c_1179]) ).
tcf(c_224436,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182050,c_1178]) ).
tcf(c_224437,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_182050,c_152]) ).
tcf(c_224438,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_182050,c_61]) ).
tcf(c_224440,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_182050,c_292]) ).
tcf(c_224441,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK16(iPr_def_28))) = k1_struct_0(sK3,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182050,c_8259]) ).
tcf(c_224442,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182050,c_8246]) ).
tcf(c_224456,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224442,c_120337]) ).
tcf(c_224469,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183137,c_1178]) ).
tcf(c_224470,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183137,c_152]) ).
tcf(c_224471,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183137,c_61]) ).
tcf(c_224473,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_183137,c_292]) ).
tcf(c_224474,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183137,c_8259]) ).
tcf(c_224475,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183137,c_8246]) ).
tcf(c_224486,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224475,c_116663,c_8268]) ).
tcf(c_224489,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224474,c_119983]) ).
tcf(c_224498,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183138,c_1178]) ).
tcf(c_224499,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183138,c_152]) ).
tcf(c_224500,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183138,c_61]) ).
tcf(c_224502,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_183138,c_292]) ).
tcf(c_224503,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183138,c_8259]) ).
tcf(c_224504,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183138,c_8246]) ).
tcf(c_224515,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224504,c_116663,c_8268]) ).
tcf(c_224518,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224503,c_119983]) ).
tcf(c_224709,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183139,c_1178]) ).
tcf(c_224710,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183139,c_152]) ).
tcf(c_224711,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183139,c_61]) ).
tcf(c_224713,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_183139,c_292]) ).
tcf(c_224714,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183139,c_8259]) ).
tcf(c_224715,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183139,c_8246]) ).
tcf(c_224726,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224715,c_116663,c_8268]) ).
tcf(c_224729,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224714,c_119983]) ).
tcf(c_224778,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),k4_tex_4(sK2,sK12(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22)))))) = k1_struct_0(sK2,sK12(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_223803]) ).
tcf(c_224794,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| v1_xboole_0(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))))
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_221034,c_299]) ).
tcf(c_224811,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),X0) ),
inference(superposition,[status(thm)],[c_221063,c_1179]) ).
tcf(c_224812,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),X0) ),
inference(superposition,[status(thm)],[c_221063,c_1178]) ).
tcf(c_224813,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_24)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),X0) ),
inference(superposition,[status(thm)],[c_221063,c_152]) ).
tcf(c_224814,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),k1_funct_1(sK4,sK5(sK2,iPr_def_24))) ),
inference(superposition,[status(thm)],[c_221063,c_61]) ).
tcf(c_224817,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_221063,c_8259]) ).
tcf(c_224818,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_24))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_221063,c_8246]) ).
tcf(c_224895,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| v1_xboole_0(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))))
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_222561,c_299]) ).
tcf(c_224912,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),X0) ),
inference(superposition,[status(thm)],[c_222585,c_1179]) ).
tcf(c_224913,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),X0) ),
inference(superposition,[status(thm)],[c_222585,c_1178]) ).
tcf(c_224914,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_23)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),X0) ),
inference(superposition,[status(thm)],[c_222585,c_152]) ).
tcf(c_224915,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),k1_funct_1(sK4,sK5(sK2,iPr_def_23))) ),
inference(superposition,[status(thm)],[c_222585,c_61]) ).
tcf(c_224918,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_222585,c_8259]) ).
tcf(c_224919,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_23))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_222585,c_8246]) ).
tcf(c_224993,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| v1_xboole_0(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))))
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_223836,c_299]) ).
tcf(c_225010,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),X0) ),
inference(superposition,[status(thm)],[c_223860,c_1179]) ).
tcf(c_225011,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| m1_subset_1(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),X0) ),
inference(superposition,[status(thm)],[c_223860,c_1178]) ).
tcf(c_225012,plain,
! [X0: $i] :
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| r2_hidden(k1_funct_1(sK4,sK5(sK2,iPr_def_22)),X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),X0) ),
inference(superposition,[status(thm)],[c_223860,c_152]) ).
tcf(c_225013,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ r2_hidden(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),k1_funct_1(sK4,sK5(sK2,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_223860,c_61]) ).
tcf(c_225016,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_18,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),sK3)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_223860,c_8259]) ).
tcf(c_225017,plain,
( v1_tsp_2(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) )
| ~ v1_tsp_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK2)
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),sK2)
| ~ m1_subset_1(sK7(sK2,k4_tex_4(sK2,sK5(sK2,iPr_def_22))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_223860,c_8246]) ).
tcf(c_225063,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_220891]) ).
tcf(c_225104,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK16(iPr_def_28)) = k1_funct_1(sK4,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_224440,c_116408]) ).
tcf(c_225105,plain,
( ( k4_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_224440,c_116002]) ).
tcf(c_225106,plain,
( ( k1_struct_0(sK2,sK16(iPr_def_28)) = k1_tarski(sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_224440,c_115708]) ).
tcf(c_225107,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK16(iPr_def_28)))) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK16(iPr_def_28)),k4_tex_4(sK2,sK16(iPr_def_28))) = k1_struct_0(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_224440,c_114071]) ).
tcf(c_225122,plain,
( ( k4_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_224473,c_116034]) ).
tcf(c_225123,plain,
( ( k1_struct_0(sK3,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_224473,c_115761]) ).
tcf(c_225133,plain,
( ( k4_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_224502,c_116034]) ).
tcf(c_225134,plain,
( ( k1_struct_0(sK3,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_224502,c_115761]) ).
tcf(c_225144,plain,
( ( k4_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_224713,c_116034]) ).
tcf(c_225145,plain,
( ( k1_struct_0(sK3,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_224713,c_115761]) ).
tcf(c_225229,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183150,c_1178]) ).
tcf(c_225230,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183150,c_152]) ).
tcf(c_225231,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183150,c_61]) ).
tcf(c_225233,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_183150,c_292]) ).
tcf(c_225234,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183150,c_8259]) ).
tcf(c_225235,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183150,c_8246]) ).
tcf(c_225246,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225235,c_116663,c_8268]) ).
tcf(c_225249,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225234,c_119983]) ).
tcf(c_225441,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183152,c_1178]) ).
tcf(c_225442,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183152,c_152]) ).
tcf(c_225443,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183152,c_61]) ).
tcf(c_225445,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_183152,c_292]) ).
tcf(c_225446,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183152,c_8259]) ).
tcf(c_225447,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183152,c_8246]) ).
tcf(c_225458,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225447,c_120337]) ).
tcf(c_225497,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183153,c_1178]) ).
tcf(c_225498,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183153,c_152]) ).
tcf(c_225499,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183153,c_61]) ).
tcf(c_225501,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_183153,c_292]) ).
tcf(c_225502,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183153,c_8259]) ).
tcf(c_225503,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183153,c_8246]) ).
tcf(c_225514,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225503,c_120337]) ).
tcf(c_225527,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183154,c_1178]) ).
tcf(c_225528,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183154,c_152]) ).
tcf(c_225529,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183154,c_61]) ).
tcf(c_225531,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_183154,c_292]) ).
tcf(c_225532,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183154,c_8259]) ).
tcf(c_225533,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183154,c_8246]) ).
tcf(c_225544,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225533,c_120337]) ).
tcf(c_225560,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_24))) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_24)))
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114403,c_220892]) ).
tcf(c_225734,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_222340]) ).
tcf(c_225747,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_23))) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_23)))
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114403,c_222341]) ).
tcf(c_225760,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_18,k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) = k1_struct_0(sK3,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_223721]) ).
tcf(c_225773,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))) = k1_struct_0(sK2,k1_funct_1(sK4,sK5(sK2,iPr_def_22))) )
| ~ v1_xboole_0(k4_tex_4(sK2,sK5(sK2,iPr_def_22)))
| ~ m1_subset_1(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114403,c_223722]) ).
tcf(c_225788,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_138312,c_299]) ).
tcf(c_225795,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK12(iPr_def_29),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_139257,c_112538]) ).
tcf(c_225815,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK2,sK12(sK7(sK2,sK7(sK2,iPr_def_29))))) = k1_struct_0(sK2,sK12(sK7(sK2,sK7(sK2,iPr_def_29)))) )
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_139344]) ).
tcf(c_225834,plain,
( ( k4_tex_4(sK3,k1_tarski(iPr_def_27)) = k2_tex_4(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_225233,c_116034]) ).
tcf(c_225835,plain,
( ( k1_struct_0(sK3,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_225233,c_115761]) ).
tcf(c_225845,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_225445,c_116408]) ).
tcf(c_225846,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_225445,c_116002]) ).
tcf(c_225847,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_225445,c_115708]) ).
tcf(c_225848,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_225445,c_114071]) ).
tcf(c_225863,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_225501,c_116408]) ).
tcf(c_225864,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_225501,c_116002]) ).
tcf(c_225865,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_225501,c_115708]) ).
tcf(c_225866,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_225501,c_114071]) ).
tcf(c_225985,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_225531,c_116408]) ).
tcf(c_225986,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_225531,c_116002]) ).
tcf(c_225987,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_225531,c_115708]) ).
tcf(c_225988,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_225531,c_114071]) ).
tcf(c_226003,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183155,c_1178]) ).
tcf(c_226004,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183155,c_152]) ).
tcf(c_226005,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183155,c_61]) ).
tcf(c_226007,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_183155,c_292]) ).
tcf(c_226008,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183155,c_8259]) ).
tcf(c_226009,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183155,c_8246]) ).
tcf(c_226020,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226009,c_120337]) ).
tcf(c_226033,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183157,c_1178]) ).
tcf(c_226034,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183157,c_152]) ).
tcf(c_226035,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183157,c_61]) ).
tcf(c_226037,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_183157,c_292]) ).
tcf(c_226038,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183157,c_8259]) ).
tcf(c_226039,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183157,c_8246]) ).
tcf(c_226050,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226039,c_120337]) ).
tcf(c_226063,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_183167,c_1178]) ).
tcf(c_226064,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_183167,c_152]) ).
tcf(c_226065,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183167,c_61]) ).
tcf(c_226067,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_183167,c_292]) ).
tcf(c_226068,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183167,c_8259]) ).
tcf(c_226069,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183167,c_8246]) ).
tcf(c_226093,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183170,c_1178]) ).
tcf(c_226094,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183170,c_152]) ).
tcf(c_226095,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183170,c_61]) ).
tcf(c_226097,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_183170,c_292]) ).
tcf(c_226098,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,k1_tarski(iPr_def_27))) = k1_struct_0(sK3,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183170,c_8259]) ).
tcf(c_226099,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183170,c_8246]) ).
tcf(c_226110,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226099,c_120337]) ).
tcf(c_226128,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29)))
| r2_hidden(sK4,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_139345,c_299]) ).
tcf(c_226145,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_32,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_139473,c_299]) ).
tcf(c_226162,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_140363,c_299]) ).
tcf(c_226179,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_140495,c_299]) ).
tcf(c_226196,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141095,c_299]) ).
tcf(c_226213,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_25,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141245,c_299]) ).
tcf(c_226230,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_24,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_141932,c_299]) ).
tcf(c_226310,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_23,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142033,c_299]) ).
tcf(c_226328,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_226007,c_116408]) ).
tcf(c_226329,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_226007,c_116002]) ).
tcf(c_226330,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_226007,c_115708]) ).
tcf(c_226331,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_226007,c_114071]) ).
tcf(c_226346,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_226037,c_116408]) ).
tcf(c_226347,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_226037,c_116002]) ).
tcf(c_226348,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_226037,c_115708]) ).
tcf(c_226349,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_226037,c_114071]) ).
tcf(c_226369,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,k1_tarski(iPr_def_27)) = k1_funct_1(sK4,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_226097,c_116408]) ).
tcf(c_226370,plain,
( ( k4_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_226097,c_116002]) ).
tcf(c_226371,plain,
( ( k1_struct_0(sK2,k1_tarski(iPr_def_27)) = k1_tarski(k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_226097,c_115708]) ).
tcf(c_226372,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,k1_tarski(iPr_def_27)))) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,k1_tarski(iPr_def_27)),k4_tex_4(sK2,k1_tarski(iPr_def_27))) = k1_struct_0(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_226097,c_114071]) ).
tcf(c_226387,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183927,c_1178]) ).
tcf(c_226388,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183927,c_152]) ).
tcf(c_226389,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183927,c_61]) ).
tcf(c_226391,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_183927,c_292]) ).
tcf(c_226392,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183927,c_8259]) ).
tcf(c_226393,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183927,c_8246]) ).
tcf(c_226404,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226393,c_116663,c_8268]) ).
tcf(c_226407,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226392,c_119983]) ).
tcf(c_226416,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183928,c_1178]) ).
tcf(c_226417,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183928,c_152]) ).
tcf(c_226418,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183928,c_61]) ).
tcf(c_226420,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_183928,c_292]) ).
tcf(c_226421,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183928,c_8259]) ).
tcf(c_226422,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183928,c_8246]) ).
tcf(c_226433,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226422,c_116663,c_8268]) ).
tcf(c_226436,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226421,c_119983]) ).
tcf(c_226475,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183929,c_1178]) ).
tcf(c_226476,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183929,c_152]) ).
tcf(c_226477,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183929,c_61]) ).
tcf(c_226479,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_183929,c_292]) ).
tcf(c_226480,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183929,c_8259]) ).
tcf(c_226481,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183929,c_8246]) ).
tcf(c_226492,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226481,c_116663,c_8268]) ).
tcf(c_226495,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226480,c_119983]) ).
tcf(c_226504,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183940,c_1178]) ).
tcf(c_226505,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_183940,c_152]) ).
tcf(c_226506,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183940,c_61]) ).
tcf(c_226508,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_183940,c_292]) ).
tcf(c_226509,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183940,c_8259]) ).
tcf(c_226510,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183940,c_8246]) ).
tcf(c_226521,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226510,c_116663,c_8268]) ).
tcf(c_226524,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226509,c_119983]) ).
tcf(c_226538,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_22,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142230,c_299]) ).
tcf(c_226555,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_17,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142380,c_299]) ).
tcf(c_226675,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_142497,c_299]) ).
tcf(c_226694,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_143379]) ).
tcf(c_226696,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(X0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_143379]) ).
tcf(c_226697,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| r2_hidden(X0,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_143379]) ).
tcf(c_226698,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X1)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_143379]) ).
tcf(c_226699,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X0,iPr_def_20)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_143379]) ).
tcf(c_226741,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r2_hidden(X0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226696,c_116492,c_116991]) ).
tcf(c_226760,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_226741,c_1179]) ).
tcf(c_226761,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X1,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_226741,c_1178]) ).
tcf(c_226762,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| r2_hidden(X1,X0)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_226741,c_152]) ).
tcf(c_226763,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_19)),X0) ),
inference(superposition,[status(thm)],[c_226741,c_61]) ).
tcf(c_226764,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19))) ),
inference(superposition,[status(thm)],[c_226741,c_305]) ).
tcf(c_226765,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| m1_subset_1(X0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_226741,c_292]) ).
tcf(c_226766,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_226741,c_8259]) ).
tcf(c_226767,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_19)),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_19)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_226741,c_8246]) ).
tcf(c_226768,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| r1_tarski(X0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,sK7(sK2,sK7(sK2,iPr_def_19)))) ),
inference(superposition,[status(thm)],[c_226741,c_150]) ).
tcf(c_226769,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK7(sK2,sK7(sK2,iPr_def_19)))) ),
inference(superposition,[status(thm)],[c_226741,c_114474]) ).
tcf(c_226770,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_19)),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK7(sK2,sK7(sK2,iPr_def_19)))) ),
inference(superposition,[status(thm)],[c_226741,c_114475]) ).
tcf(c_227166,plain,
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_19)))
| r2_hidden(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_143580,c_299]) ).
tcf(c_227185,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_226391,c_116034]) ).
tcf(c_227186,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_226391,c_115761]) ).
tcf(c_227226,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_226420,c_116034]) ).
tcf(c_227227,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_226420,c_115761]) ).
tcf(c_227653,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(sK12(X0),X0) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_237476,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_226479,c_116034]) ).
tcf(c_237477,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_226479,c_115761]) ).
tcf(c_242739,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_19)) = k2_tex_4(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_226508,c_116034]) ).
tcf(c_242740,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_226508,c_115761]) ).
tcf(c_242750,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183942,c_1178]) ).
tcf(c_242751,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183942,c_152]) ).
tcf(c_242752,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183942,c_61]) ).
tcf(c_242754,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_183942,c_292]) ).
tcf(c_242755,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183942,c_8259]) ).
tcf(c_242756,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183942,c_8246]) ).
tcf(c_242767,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242756,c_120337]) ).
tcf(c_242792,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183943,c_1178]) ).
tcf(c_242793,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183943,c_152]) ).
tcf(c_242794,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183943,c_61]) ).
tcf(c_242796,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_183943,c_292]) ).
tcf(c_242797,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183943,c_8259]) ).
tcf(c_242798,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183943,c_8246]) ).
tcf(c_242809,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242798,c_120337]) ).
tcf(c_242822,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183944,c_1178]) ).
tcf(c_242823,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183944,c_152]) ).
tcf(c_242824,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183944,c_61]) ).
tcf(c_242826,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_183944,c_292]) ).
tcf(c_242827,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183944,c_8259]) ).
tcf(c_242828,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183944,c_8246]) ).
tcf(c_242839,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242828,c_120337]) ).
tcf(c_242854,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183945,c_1178]) ).
tcf(c_242855,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183945,c_152]) ).
tcf(c_242856,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183945,c_61]) ).
tcf(c_242858,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_183945,c_292]) ).
tcf(c_242859,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183945,c_8259]) ).
tcf(c_242860,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183945,c_8246]) ).
tcf(c_242871,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242860,c_120337]) ).
tcf(c_242904,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_143783]) ).
tcf(c_242906,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(X0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_143783]) ).
tcf(c_242907,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| r2_hidden(X0,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_143783]) ).
tcf(c_242908,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X1)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_143783]) ).
tcf(c_242909,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X0,iPr_def_20)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_143783]) ).
tcf(c_242957,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r2_hidden(X0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242906,c_116492,c_116991]) ).
tcf(c_242976,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_242957,c_1179]) ).
tcf(c_242977,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X1,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_242957,c_1178]) ).
tcf(c_242978,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| r2_hidden(X1,X0)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_242957,c_152]) ).
tcf(c_242979,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_21)),X0) ),
inference(superposition,[status(thm)],[c_242957,c_61]) ).
tcf(c_242980,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_242957,c_305]) ).
tcf(c_242981,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| m1_subset_1(X0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_242957,c_292]) ).
tcf(c_242982,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_242957,c_8259]) ).
tcf(c_242983,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_21)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_242957,c_8246]) ).
tcf(c_242984,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| r1_tarski(X0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,sK7(sK2,sK7(sK2,iPr_def_21)))) ),
inference(superposition,[status(thm)],[c_242957,c_150]) ).
tcf(c_242985,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK7(sK2,sK7(sK2,iPr_def_21)))) ),
inference(superposition,[status(thm)],[c_242957,c_114474]) ).
tcf(c_242986,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_21)),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK7(sK2,sK7(sK2,iPr_def_21)))) ),
inference(superposition,[status(thm)],[c_242957,c_114475]) ).
tcf(c_243141,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_143917]) ).
tcf(c_243143,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(X0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK2)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_143917]) ).
tcf(c_243144,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| r2_hidden(X0,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_143917]) ).
tcf(c_243145,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X1)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_143917]) ).
tcf(c_243146,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X0,iPr_def_20)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_143917]) ).
tcf(c_243195,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r2_hidden(X0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243143,c_116492,c_116991]) ).
tcf(c_243214,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_243195,c_1179]) ).
tcf(c_243215,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X1,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_243195,c_1178]) ).
tcf(c_243216,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| r2_hidden(X1,X0)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_243195,c_152]) ).
tcf(c_243217,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,iPr_def_29)),X0) ),
inference(superposition,[status(thm)],[c_243195,c_61]) ).
tcf(c_243218,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29))) ),
inference(superposition,[status(thm)],[c_243195,c_305]) ).
tcf(c_243219,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| m1_subset_1(X0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_243195,c_292]) ).
tcf(c_243220,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK3,X0)) = k1_struct_0(sK3,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_243195,c_8259]) ).
tcf(c_243221,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_29)),k4_tex_4(sK2,X0)) = k1_struct_0(sK2,X0) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,iPr_def_29)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_243195,c_8246]) ).
tcf(c_243222,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| r1_tarski(X0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,sK7(sK2,sK7(sK2,iPr_def_29)))) ),
inference(superposition,[status(thm)],[c_243195,c_150]) ).
tcf(c_243223,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,sK7(sK2,sK7(sK2,iPr_def_29)))) ),
inference(superposition,[status(thm)],[c_243195,c_114474]) ).
tcf(c_243224,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,iPr_def_29)),iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,sK7(sK2,sK7(sK2,iPr_def_29)))) ),
inference(superposition,[status(thm)],[c_243195,c_114475]) ).
tcf(c_243382,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_242754,c_116408]) ).
tcf(c_243383,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_242754,c_116002]) ).
tcf(c_243384,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_242754,c_115708]) ).
tcf(c_243385,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_242754,c_114071]) ).
tcf(c_243400,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_242796,c_116408]) ).
tcf(c_243401,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_242796,c_116002]) ).
tcf(c_243402,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_242796,c_115708]) ).
tcf(c_243403,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_242796,c_114071]) ).
tcf(c_243418,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_242826,c_116408]) ).
tcf(c_243419,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_242826,c_116002]) ).
tcf(c_243420,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_242826,c_115708]) ).
tcf(c_243421,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_242826,c_114071]) ).
tcf(c_243436,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_242858,c_116408]) ).
tcf(c_243437,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_242858,c_116002]) ).
tcf(c_243438,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_242858,c_115708]) ).
tcf(c_243439,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_242858,c_114071]) ).
tcf(c_243629,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183947,c_1178]) ).
tcf(c_243630,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183947,c_152]) ).
tcf(c_243631,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183947,c_61]) ).
tcf(c_243633,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_183947,c_292]) ).
tcf(c_243634,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183947,c_8259]) ).
tcf(c_243635,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183947,c_8246]) ).
tcf(c_243646,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243635,c_120337]) ).
tcf(c_243661,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_183957,c_1178]) ).
tcf(c_243662,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_183957,c_152]) ).
tcf(c_243663,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183957,c_61]) ).
tcf(c_243665,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_183957,c_292]) ).
tcf(c_243666,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183957,c_8259]) ).
tcf(c_243667,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183957,c_8246]) ).
tcf(c_243693,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183960,c_1178]) ).
tcf(c_243694,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_183960,c_152]) ).
tcf(c_243695,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183960,c_61]) ).
tcf(c_243697,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_183960,c_292]) ).
tcf(c_243698,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_19))) = k1_struct_0(sK3,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183960,c_8259]) ).
tcf(c_243699,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183960,c_8246]) ).
tcf(c_243710,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243699,c_120337]) ).
tcf(c_243725,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196433,c_1178]) ).
tcf(c_243726,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196433,c_152]) ).
tcf(c_243727,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196433,c_61]) ).
tcf(c_243729,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_196433,c_292]) ).
tcf(c_243730,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196433,c_8259]) ).
tcf(c_243731,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196433,c_8246]) ).
tcf(c_243742,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243731,c_116663,c_8268]) ).
tcf(c_243745,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243730,c_119983]) ).
tcf(c_243775,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_20,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144566,c_299]) ).
tcf(c_243792,plain,
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_29)))
| r2_hidden(iPr_def_28,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144695,c_299]) ).
tcf(c_243823,plain,
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,iPr_def_21)))
| r2_hidden(iPr_def_31,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_144910,c_299]) ).
tcf(c_243842,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_114498,c_151833]) ).
tcf(c_243845,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK3)
| m1_subset_1(X0,sK7(sK3,sK7(sK2,iPr_def_19)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_19),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151833]) ).
tcf(c_243846,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_19),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_19),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_19),X1)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151833]) ).
tcf(c_243847,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151833]) ).
tcf(c_243913,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114498,c_151834]) ).
tcf(c_243916,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_21),sK3)
| m1_subset_1(X0,sK7(sK3,sK7(sK2,iPr_def_21)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_21),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151834]) ).
tcf(c_243917,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_21),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_21),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_21),X1)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151834]) ).
tcf(c_243918,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151834]) ).
tcf(c_243984,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X0,X1)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114498,c_151835]) ).
tcf(c_243987,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| v1_tsp_2(sK7(sK2,iPr_def_29),sK3)
| m1_subset_1(X0,sK7(sK3,sK7(sK2,iPr_def_29)))
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,iPr_def_29),sK3)
| ~ m1_subset_1(sK7(sK2,iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151835]) ).
tcf(c_243988,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,iPr_def_29),k4_tex_4(sK2,sK6(sK7(sK2,iPr_def_29),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,iPr_def_29),X1)) )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151835]) ).
tcf(c_243989,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151835]) ).
tcf(c_244048,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_243633,c_116408]) ).
tcf(c_244049,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_243633,c_116002]) ).
tcf(c_244050,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_243633,c_115708]) ).
tcf(c_244051,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_243633,c_114071]) ).
tcf(c_244071,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_19)) = k1_funct_1(sK4,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_243697,c_116408]) ).
tcf(c_244072,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_243697,c_116002]) ).
tcf(c_244073,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_19)) = k1_tarski(sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_243697,c_115708]) ).
tcf(c_244074,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_19)))) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_19)),k4_tex_4(sK2,sK12(iPr_def_19))) = k1_struct_0(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_243697,c_114071]) ).
tcf(c_244124,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_243729,c_116034]) ).
tcf(c_244125,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_243729,c_115761]) ).
tcf(c_244135,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196434,c_1178]) ).
tcf(c_244136,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196434,c_152]) ).
tcf(c_244137,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196434,c_61]) ).
tcf(c_244139,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_196434,c_292]) ).
tcf(c_244140,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196434,c_8259]) ).
tcf(c_244141,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196434,c_8246]) ).
tcf(c_244152,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244141,c_116663,c_8268]) ).
tcf(c_244155,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244140,c_119983]) ).
tcf(c_244166,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196435,c_1178]) ).
tcf(c_244167,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196435,c_152]) ).
tcf(c_244168,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196435,c_61]) ).
tcf(c_244170,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_196435,c_292]) ).
tcf(c_244171,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196435,c_8259]) ).
tcf(c_244172,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196435,c_8246]) ).
tcf(c_244183,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244172,c_116663,c_8268]) ).
tcf(c_244186,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244171,c_119983]) ).
tcf(c_244197,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196446,c_1178]) ).
tcf(c_244198,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_196446,c_152]) ).
tcf(c_244199,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196446,c_61]) ).
tcf(c_244201,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_196446,c_292]) ).
tcf(c_244202,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196446,c_8259]) ).
tcf(c_244203,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196446,c_8246]) ).
tcf(c_244214,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244203,c_116663,c_8268]) ).
tcf(c_244217,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244202,c_119983]) ).
tcf(c_244283,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196448,c_1178]) ).
tcf(c_244284,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196448,c_152]) ).
tcf(c_244285,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196448,c_61]) ).
tcf(c_244287,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_196448,c_292]) ).
tcf(c_244288,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196448,c_8259]) ).
tcf(c_244289,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196448,c_8246]) ).
tcf(c_244300,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244289,c_120337]) ).
tcf(c_244342,plain,
( v1_xboole_0(iPr_def_18)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| m1_subset_1(sK16(iPr_def_18),sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_156692]) ).
tcf(c_244343,plain,
( v1_xboole_0(iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| m1_subset_1(sK16(iPr_def_20),sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_156692]) ).
tcf(c_244344,plain,
( v1_xboole_0(iPr_def_28)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| m1_subset_1(sK16(iPr_def_28),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_156692]) ).
tcf(c_244345,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_xboole_0(sK7(sK2,k1_zfmisc_1(X0)))
| r2_hidden(sK16(X0),sK7(sK2,k1_zfmisc_1(X0)))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_156692,c_299]) ).
tcf(c_244346,plain,
( v1_xboole_0(iPr_def_28)
| v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK16(iPr_def_28),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_244344,c_8235]) ).
tcf(c_244347,plain,
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(sK16(iPr_def_28),sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244346,c_114788]) ).
tcf(c_244352,plain,
( v1_xboole_0(iPr_def_20)
| v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(sK16(iPr_def_20),sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_244343,c_8227]) ).
tcf(c_244354,plain,
( v1_xboole_0(iPr_def_18)
| v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK16(iPr_def_18),sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_244342,c_8225]) ).
tcf(c_244355,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(sK16(iPr_def_18),sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244354,c_8242]) ).
tcf(c_244375,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(X1,X2)) ),
inference(superposition,[status(thm)],[c_114498,c_165415]) ).
tcf(c_244377,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| r1_tarski(sK16(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK16(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1)) ),
inference(superposition,[status(thm)],[c_114668,c_165415]) ).
tcf(c_244378,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tex_4(sK3,X1),X2)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k2_tex_4(sK3,X1) )
| ~ m1_subset_1(X1,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k2_tex_4(sK3,X1),X2)) ),
inference(superposition,[status(thm)],[c_114621,c_165415]) ).
tcf(c_244379,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k2_tex_4(sK2,X1),X2)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) = k2_tex_4(sK2,X1) )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k2_tex_4(sK2,X1),X2)) ),
inference(superposition,[status(thm)],[c_114629,c_165415]) ).
tcf(c_244380,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK12(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK12(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))),X1)) ),
inference(superposition,[status(thm)],[c_114667,c_165415]) ).
tcf(c_244381,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_xboole_0,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k1_xboole_0,X1)) ),
inference(superposition,[status(thm)],[c_114677,c_165415]) ).
tcf(c_244382,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK10(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_147592,c_165415]) ).
tcf(c_244383,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK10(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_138881,c_165415]) ).
tcf(c_244384,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK10(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_132626,c_165415]) ).
tcf(c_244385,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK10(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_120927,c_165415]) ).
tcf(c_244386,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK10(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_115010,c_165415]) ).
tcf(c_244387,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK14(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_147642,c_165415]) ).
tcf(c_244388,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK14(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_139038,c_165415]) ).
tcf(c_244389,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK14(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_132652,c_165415]) ).
tcf(c_244390,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK14(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_120961,c_165415]) ).
tcf(c_244391,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK14(sK2)),X1)) ),
inference(superposition,[status(thm)],[c_115177,c_165415]) ).
tcf(c_244392,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1),X2)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X1),k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X1),X2)) ),
inference(superposition,[status(thm)],[c_115617,c_165415]) ).
tcf(c_244393,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK17(sK2),X1)) ),
inference(superposition,[status(thm)],[c_147481,c_165415]) ).
tcf(c_244394,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK17(sK2),X1)) ),
inference(superposition,[status(thm)],[c_132263,c_165415]) ).
tcf(c_244395,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK17(sK2),X1)) ),
inference(superposition,[status(thm)],[c_120813,c_165415]) ).
tcf(c_244396,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK17(sK2),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK17(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK17(sK2),X1)) ),
inference(superposition,[status(thm)],[c_115941,c_165415]) ).
tcf(c_244397,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK19(sK2),X1)) ),
inference(superposition,[status(thm)],[c_147507,c_165415]) ).
tcf(c_244398,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK19(sK2),X1)) ),
inference(superposition,[status(thm)],[c_132547,c_165415]) ).
tcf(c_244399,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK19(sK2),X1)) ),
inference(superposition,[status(thm)],[c_120853,c_165415]) ).
tcf(c_244400,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK19(sK2),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK19(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK19(sK2),X1)) ),
inference(superposition,[status(thm)],[c_116130,c_165415]) ).
tcf(c_244401,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK25(sK2),X1)) ),
inference(superposition,[status(thm)],[c_147546,c_165415]) ).
tcf(c_244402,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK25(sK2),X1)) ),
inference(superposition,[status(thm)],[c_132573,c_165415]) ).
tcf(c_244403,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK25(sK2),X1)) ),
inference(superposition,[status(thm)],[c_120879,c_165415]) ).
tcf(c_244404,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK25(sK2),X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK25(sK2),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK25(sK2),X1)) ),
inference(superposition,[status(thm)],[c_116149,c_165415]) ).
tcf(c_244405,plain,
! [X0: $i,X1: $i] :
( r1_tarski(iPr_def_22,X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_22,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(iPr_def_22,X1)) ),
inference(superposition,[status(thm)],[c_114612,c_165415]) ).
tcf(c_244406,plain,
! [X0: $i,X1: $i] :
( r1_tarski(iPr_def_23,X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_23,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(iPr_def_23,X1)) ),
inference(superposition,[status(thm)],[c_114607,c_165415]) ).
tcf(c_244407,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(X1,sK2)
| r1_tarski(sK7(sK2,X1),X2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X1),k4_tex_4(sK2,sK6(sK7(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(sK7(sK2,X1),k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ v1_tsp_1(X1,sK2)
| ~ m1_subset_1(X1,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK7(sK2,X1),X2)) ),
inference(superposition,[status(thm)],[c_118158,c_165415]) ).
tcf(c_244408,plain,
! [X0: $i,X1: $i] :
( r1_tarski(iPr_def_24,X1)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))) = k1_struct_0(sK2,sK6(iPr_def_24,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(iPr_def_24,X1)) ),
inference(superposition,[status(thm)],[c_114602,c_165415]) ).
tcf(c_244409,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k2_tex_4(sK2,sK12(iPr_def_20)),X1)) ),
inference(superposition,[status(thm)],[c_150895,c_165415]) ).
tcf(c_244410,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1)
| r1_tarski(sK6(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1),X2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK6(k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)),X1),X2)) ),
inference(superposition,[status(thm)],[c_124673,c_165415]) ).
tcf(c_244411,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,iPr_def_30),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k2_tex_4(sK2,iPr_def_30),X1)) ),
inference(superposition,[status(thm)],[c_140193,c_165415]) ).
tcf(c_244412,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k2_tex_4(sK3,sK12(iPr_def_18)),X1)) ),
inference(superposition,[status(thm)],[c_151014,c_165415]) ).
tcf(c_244413,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK13(iPr_def_20,iPr_def_18),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK13(iPr_def_20,iPr_def_18),X1)) ),
inference(superposition,[status(thm)],[c_138461,c_165415]) ).
tcf(c_244414,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK11(iPr_def_20,iPr_def_18),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK11(iPr_def_20,iPr_def_18),X1)) ),
inference(superposition,[status(thm)],[c_138639,c_165415]) ).
tcf(c_244415,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK10(sK3)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK10(sK3)),X1)) ),
inference(superposition,[status(thm)],[c_139563,c_165415]) ).
tcf(c_244416,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_struct_0(sK14(sK3)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(u1_struct_0(sK14(sK3)),X1)) ),
inference(superposition,[status(thm)],[c_139717,c_165415]) ).
tcf(c_244417,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,iPr_def_30),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k2_tex_4(sK3,iPr_def_30),X1)) ),
inference(superposition,[status(thm)],[c_139941,c_165415]) ).
tcf(c_244418,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_tarski(sK12(iPr_def_20)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k1_tarski(sK12(iPr_def_20)),X1)) ),
inference(superposition,[status(thm)],[c_140640,c_165415]) ).
tcf(c_244419,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_tarski(sK12(iPr_def_18)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k1_tarski(sK12(iPr_def_18)),X1)) ),
inference(superposition,[status(thm)],[c_140811,c_165415]) ).
tcf(c_244420,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k1_funct_1(sK4,iPr_def_30),X1)) ),
inference(superposition,[status(thm)],[c_145140,c_165415]) ).
tcf(c_244421,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)))
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(k1_funct_1(sK4,sK12(iPr_def_20)),X1)) ),
inference(superposition,[status(thm)],[c_151380,c_165415]) ).
tcf(c_244422,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X1)),X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK6(sK12(k1_zfmisc_1(X1)),X2)) ),
inference(superposition,[status(thm)],[c_153694,c_165415]) ).
tcf(c_244423,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(X0,iPr_def_30)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_8236,c_165415]) ).
tcf(c_244424,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_116415,c_165415]) ).
tcf(c_244425,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_122520,c_165415]) ).
tcf(c_244426,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_145180,c_165415]) ).
tcf(c_244427,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_164037,c_165415]) ).
tcf(c_244428,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_164034,c_165415]) ).
tcf(c_244429,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_164031,c_165415]) ).
tcf(c_244430,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_151421,c_165415]) ).
tcf(c_244435,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(X0,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK6(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_244423,c_8238]) ).
tcf(c_244436,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK6(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244435,c_8266]) ).
tcf(c_244440,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK6(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_244425,c_122521]) ).
tcf(c_244441,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK6(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244440,c_122454]) ).
tcf(c_244449,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK6(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_244424,c_116009]) ).
tcf(c_244450,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK6(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244449,c_173]) ).
tcf(c_244454,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_244426,c_145177]) ).
tcf(c_244455,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK6(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244454,c_157069]) ).
tcf(c_244506,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(X0,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK6(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_244430,c_151418]) ).
tcf(c_245252,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0) ),
inference(global_subsumption_just,[status(thm)],[c_171448,c_11656,c_171968,c_227653]) ).
tcf(c_245262,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),X0)) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_245252]) ).
tcf(c_245263,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21)
| ~ r1_tarski(sK7(sK2,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_116849,c_245252]) ).
tcf(c_245264,plain,
! [X0: $i] :
( v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19)
| ~ r1_tarski(sK7(sK3,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),X0) ),
inference(superposition,[status(thm)],[c_116843,c_245252]) ).
tcf(c_245284,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20)))
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_114498,c_198925]) ).
tcf(c_245285,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_30)
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_27),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_8236,c_198925]) ).
tcf(c_245286,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_116415,c_198925]) ).
tcf(c_245287,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_122520,c_198925]) ).
tcf(c_245288,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_145180,c_198925]) ).
tcf(c_245289,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK12(iPr_def_22))) = k1_struct_0(sK2,sK12(iPr_def_22)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_22),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK5(sK2,iPr_def_22)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_22)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_164037,c_198925]) ).
tcf(c_245290,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK12(iPr_def_23))) = k1_struct_0(sK2,sK12(iPr_def_23)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_23),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK5(sK2,iPr_def_23)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_23)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_164034,c_198925]) ).
tcf(c_245291,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK12(iPr_def_24))) = k1_struct_0(sK2,sK12(iPr_def_24)) )
| ~ m1_subset_1(sK5(sK2,iPr_def_24),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK5(sK2,iPr_def_24)))
| ~ r1_tarski(k4_tex_4(sK2,sK5(sK2,iPr_def_24)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_164031,c_198925]) ).
tcf(c_245292,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_151421,c_198925]) ).
tcf(c_245293,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_30)
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(light_normalisation,[status(thm)],[c_245285,c_8238]) ).
tcf(c_245294,plain,
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),iPr_def_30)
| ~ r1_tarski(iPr_def_32,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245293,c_8266]) ).
tcf(c_245297,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(light_normalisation,[status(thm)],[c_245287,c_122521]) ).
tcf(c_245298,plain,
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245297,c_122454]) ).
tcf(c_245301,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(light_normalisation,[status(thm)],[c_245286,c_116009]) ).
tcf(c_245302,plain,
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245301,c_173]) ).
tcf(c_245305,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(light_normalisation,[status(thm)],[c_245288,c_145177]) ).
tcf(c_245306,plain,
( ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245305,c_157069]) ).
tcf(c_245309,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(light_normalisation,[status(thm)],[c_245292,c_151418]) ).
tcf(c_245357,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_244139,c_116034]) ).
tcf(c_245358,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_244139,c_115761]) ).
tcf(c_245385,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_244170,c_116034]) ).
tcf(c_245386,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_244170,c_115761]) ).
tcf(c_245396,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_21)) = k2_tex_4(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_244201,c_116034]) ).
tcf(c_245397,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_244201,c_115761]) ).
tcf(c_245439,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_244287,c_116408]) ).
tcf(c_245440,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_244287,c_116002]) ).
tcf(c_245441,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_244287,c_115708]) ).
tcf(c_245442,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_244287,c_114071]) ).
tcf(c_245461,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196449,c_1178]) ).
tcf(c_245462,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196449,c_152]) ).
tcf(c_245463,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196449,c_61]) ).
tcf(c_245465,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_196449,c_292]) ).
tcf(c_245466,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196449,c_8259]) ).
tcf(c_245467,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196449,c_8246]) ).
tcf(c_245478,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245467,c_120337]) ).
tcf(c_245531,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196450,c_1178]) ).
tcf(c_245532,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196450,c_152]) ).
tcf(c_245533,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196450,c_61]) ).
tcf(c_245535,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_196450,c_292]) ).
tcf(c_245536,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196450,c_8259]) ).
tcf(c_245537,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196450,c_8246]) ).
tcf(c_245548,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245537,c_120337]) ).
tcf(c_245656,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196451,c_1178]) ).
tcf(c_245657,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196451,c_152]) ).
tcf(c_245658,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196451,c_61]) ).
tcf(c_245660,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_196451,c_292]) ).
tcf(c_245661,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196451,c_8259]) ).
tcf(c_245662,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196451,c_8246]) ).
tcf(c_245673,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245662,c_120337]) ).
tcf(c_245688,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196453,c_1178]) ).
tcf(c_245689,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196453,c_152]) ).
tcf(c_245690,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196453,c_61]) ).
tcf(c_245692,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_196453,c_292]) ).
tcf(c_245693,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196453,c_8259]) ).
tcf(c_245694,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196453,c_8246]) ).
tcf(c_245705,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245694,c_120337]) ).
tcf(c_245813,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114498,c_117083]) ).
tcf(c_245815,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( sK16(X0) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK16(X0),sK3)
| ~ m1_subset_1(sK16(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114668,c_117083]) ).
tcf(c_245816,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK17(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK17(X0),sK3)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(sK17(X0),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115354,c_117083]) ).
tcf(c_245817,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK19(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK19(X0),sK3)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(sK19(X0),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115380,c_117083]) ).
tcf(c_245818,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK22(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),sK3)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(sK22(X0),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114795,c_117083]) ).
tcf(c_245820,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK25(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK25(X0),sK3)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(sK25(X0),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115425,c_117083]) ).
tcf(c_245821,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,X1) = sK11(X0,X1) )
| ~ v1_tsp_2(sK11(X0,X1),sK3)
| ~ v1_tsp_1(k2_zfmisc_1(X0,X1),sK3)
| ~ m1_subset_1(sK11(X0,X1),iPr_def_19)
| ~ m1_subset_1(k2_zfmisc_1(X0,X1),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114670,c_117083]) ).
tcf(c_245822,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(X0,X1) = sK13(X0,X1) )
| ~ v1_tsp_2(sK13(X0,X1),sK3)
| ~ v1_tsp_1(k2_zfmisc_1(X0,X1),sK3)
| ~ m1_subset_1(sK13(X0,X1),iPr_def_19)
| ~ m1_subset_1(k2_zfmisc_1(X0,X1),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114671,c_117083]) ).
tcf(c_245823,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(X0)) = u1_struct_0(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(X0)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114769,c_117083]) ).
tcf(c_245824,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(X0)) = u1_struct_0(X0) )
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(X0)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115071,c_117083]) ).
tcf(c_245825,plain,
! [X0: $i] :
( ( k1_struct_0(sK20,X0) = u1_struct_0(sK20) )
| ~ v1_tsp_1(u1_struct_0(sK20),sK3)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_19)
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ v1_tsp_2(k1_struct_0(sK20,X0),sK3)
| ~ m1_subset_1(k1_struct_0(sK20,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115755,c_117083]) ).
tcf(c_245826,plain,
( ( u1_struct_0(sK20) = sK23(sK20) )
| ~ v1_tsp_2(sK23(sK20),sK3)
| ~ v1_tsp_1(u1_struct_0(sK20),sK3)
| ~ m1_subset_1(sK23(sK20),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114672,c_117083]) ).
tcf(c_245827,plain,
( ( u1_struct_0(sK20) = sK26(sK20) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(sK26(sK20),sK3)
| ~ v1_tsp_1(u1_struct_0(sK20),sK3)
| ~ m1_subset_1(sK26(sK20),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114673,c_117083]) ).
tcf(c_245828,plain,
( ( u1_struct_0(sK20) = sK21(sK20) )
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_tsp_2(sK21(sK20),sK3)
| ~ v1_tsp_1(u1_struct_0(sK20),sK3)
| ~ m1_subset_1(sK21(sK20),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114674,c_117083]) ).
tcf(c_245829,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK3,X0) = X1 )
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114621,c_117083]) ).
tcf(c_245830,plain,
! [X0: $i,X1: $i] :
( ( k2_tex_4(sK2,X0) = X1 )
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114629,c_117083]) ).
tcf(c_245831,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114667,c_117083]) ).
tcf(c_245832,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK3)
| ~ m1_subset_1(k1_xboole_0,iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114677,c_117083]) ).
tcf(c_245833,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147592,c_117083]) ).
tcf(c_245834,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138881,c_117083]) ).
tcf(c_245835,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132626,c_117083]) ).
tcf(c_245836,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120927,c_117083]) ).
tcf(c_245837,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115010,c_117083]) ).
tcf(c_245838,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147642,c_117083]) ).
tcf(c_245839,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_139038,c_117083]) ).
tcf(c_245840,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132652,c_117083]) ).
tcf(c_245841,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120961,c_117083]) ).
tcf(c_245842,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK2)) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115177,c_117083]) ).
tcf(c_245843,plain,
! [X0: $i,X1: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = X1 )
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115617,c_117083]) ).
tcf(c_245844,plain,
! [X0: $i] :
( ( k4_tex_4(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k4_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121717,c_117083]) ).
tcf(c_245845,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147481,c_117083]) ).
tcf(c_245846,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132263,c_117083]) ).
tcf(c_245847,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120813,c_117083]) ).
tcf(c_245848,plain,
! [X0: $i] :
( ( sK17(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_115941,c_117083]) ).
tcf(c_245849,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147507,c_117083]) ).
tcf(c_245850,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132547,c_117083]) ).
tcf(c_245851,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120853,c_117083]) ).
tcf(c_245852,plain,
! [X0: $i] :
( ( sK19(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116130,c_117083]) ).
tcf(c_245853,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147546,c_117083]) ).
tcf(c_245854,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_132573,c_117083]) ).
tcf(c_245855,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_120879,c_117083]) ).
tcf(c_245856,plain,
! [X0: $i] :
( ( sK25(sK2) = X0 )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116149,c_117083]) ).
tcf(c_245857,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X0 )
| ~ v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116849,c_117083]) ).
tcf(c_245859,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ v1_tsp_2(iPr_def_22,sK3)
| ~ m1_subset_1(iPr_def_22,iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114612,c_117083]) ).
tcf(c_245860,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ v1_tsp_2(iPr_def_23,sK3)
| ~ m1_subset_1(iPr_def_23,iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114607,c_117083]) ).
tcf(c_245861,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X1 )
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X1,sK3)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_118158,c_117083]) ).
tcf(c_245862,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ v1_tsp_2(iPr_def_24,sK3)
| ~ m1_subset_1(iPr_def_24,iPr_def_19)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114602,c_117083]) ).
tcf(c_245863,plain,
( ( sK12(iPr_def_19) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114712,c_117083]) ).
tcf(c_245864,plain,
( ( sK12(iPr_def_21) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_21),sK3)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114713,c_117083]) ).
tcf(c_245865,plain,
( ( sK12(iPr_def_29) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_29),sK3)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114714,c_117083]) ).
tcf(c_245866,plain,
( ( sK11(iPr_def_20,iPr_def_18) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121345,c_117083]) ).
tcf(c_245867,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121359,c_117083]) ).
tcf(c_245868,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ v1_tsp_2(iPr_def_17,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(iPr_def_17,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121388,c_117083]) ).
tcf(c_245869,plain,
( ( iPr_def_18 = iPr_def_25 )
| ~ v1_tsp_2(iPr_def_25,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_25,iPr_def_19)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121390,c_117083]) ).
tcf(c_245870,plain,
( ( iPr_def_18 = iPr_def_26 )
| ~ v1_tsp_2(iPr_def_26,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_26,iPr_def_19)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121391,c_117083]) ).
tcf(c_245871,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121392,c_117083]) ).
tcf(c_245872,plain,
( ( sK16(iPr_def_18) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121394,c_117083]) ).
tcf(c_245873,plain,
( ( u1_struct_0(sK10(sK3)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121400,c_117083]) ).
tcf(c_245874,plain,
( ( u1_struct_0(sK14(sK3)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121401,c_117083]) ).
tcf(c_245875,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121402,c_117083]) ).
tcf(c_245876,plain,
( ( sK17(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK17(sK3),sK3)
| ~ m1_subset_1(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121403,c_117083]) ).
tcf(c_245877,plain,
( ( sK19(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK19(sK3),sK3)
| ~ m1_subset_1(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121404,c_117083]) ).
tcf(c_245878,plain,
( ( sK25(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK25(sK3),sK3)
| ~ m1_subset_1(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121405,c_117083]) ).
tcf(c_245879,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k4_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121406,c_117083]) ).
tcf(c_245880,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k1_struct_0(sK3,X0),sK3)
| ~ m1_subset_1(k1_struct_0(sK3,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121407,c_117083]) ).
tcf(c_245881,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_31,iPr_def_19)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121408,c_117083]) ).
tcf(c_245882,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_150895,c_117083]) ).
tcf(c_245883,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ v1_tsp_2(iPr_def_22,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_22,iPr_def_19)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121712,c_117083]) ).
tcf(c_245884,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ v1_tsp_2(iPr_def_23,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_23,iPr_def_19)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121713,c_117083]) ).
tcf(c_245885,plain,
( ( iPr_def_20 = iPr_def_24 )
| ~ v1_tsp_2(iPr_def_24,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_24,iPr_def_19)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121714,c_117083]) ).
tcf(c_245886,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ v1_tsp_2(iPr_def_18,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121715,c_117083]) ).
tcf(c_245887,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k2_tex_4(sK2,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121716,c_117083]) ).
tcf(c_245888,plain,
( ( iPr_def_20 = iPr_def_32 )
| ~ v1_tsp_2(iPr_def_32,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_32,iPr_def_19)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121718,c_117083]) ).
tcf(c_245889,plain,
( ( sK16(iPr_def_20) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_20),sK3)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121719,c_117083]) ).
tcf(c_245890,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_tsp_2(k1_struct_0(sK2,X0),sK3)
| ~ m1_subset_1(k1_struct_0(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121723,c_117083]) ).
tcf(c_245891,plain,
( ( u1_struct_0(sK10(sK2)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121725,c_117083]) ).
tcf(c_245892,plain,
( ( u1_struct_0(sK14(sK2)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121726,c_117083]) ).
tcf(c_245893,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121727,c_117083]) ).
tcf(c_245894,plain,
( ( sK17(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121728,c_117083]) ).
tcf(c_245895,plain,
( ( sK19(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121729,c_117083]) ).
tcf(c_245896,plain,
( ( sK25(sK2) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121730,c_117083]) ).
tcf(c_245897,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121731,c_117083]) ).
tcf(c_245898,plain,
( ( sK4 = iPr_def_28 )
| ~ v1_tsp_2(sK4,sK3)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ m1_subset_1(sK4,iPr_def_19) ),
inference(superposition,[status(thm)],[c_121831,c_117083]) ).
tcf(c_245899,plain,
( ( sK16(iPr_def_28) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_28),sK3)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121834,c_117083]) ).
tcf(c_245900,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_121839,c_117083]) ).
tcf(c_245901,plain,
( ( iPr_def_20 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_31,iPr_def_19)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_122556,c_117083]) ).
tcf(c_245902,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK3)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_123950,c_117083]) ).
tcf(c_245903,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(X0),X1)
| ( sK6(k1_zfmisc_1(X0),X1) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_tsp_2(sK6(k1_zfmisc_1(X0),X1),sK3)
| ~ m1_subset_1(sK6(k1_zfmisc_1(X0),X1),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124673,c_117083]) ).
tcf(c_245904,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| ( sK6(iPr_def_21,X0) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK6(iPr_def_21,X0),sK3)
| ~ m1_subset_1(sK6(iPr_def_21,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124679,c_117083]) ).
tcf(c_245905,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| ( sK6(iPr_def_19,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK6(iPr_def_19,X0),sK3)
| ~ m1_subset_1(sK6(iPr_def_19,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124687,c_117083]) ).
tcf(c_245906,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| ( sK6(iPr_def_29,X0) = iPr_def_28 )
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK6(iPr_def_29,X0),sK3)
| ~ m1_subset_1(sK6(iPr_def_29,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_124691,c_117083]) ).
tcf(c_245907,plain,
( ( k2_tex_4(sK3,iPr_def_30) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_126296,c_117083]) ).
tcf(c_245908,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_140193,c_117083]) ).
tcf(c_245909,plain,
( ( k2_tex_4(sK2,iPr_def_30) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_127734,c_117083]) ).
tcf(c_245910,plain,
( ( sK16(iPr_def_20) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_20),sK3)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_128571,c_117083]) ).
tcf(c_245911,plain,
( ( sK16(iPr_def_20) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_20),sK3)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_19) ),
inference(superposition,[status(thm)],[c_128575,c_117083]) ).
tcf(c_245912,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_151014,c_117083]) ).
tcf(c_245913,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_128650,c_117083]) ).
tcf(c_245914,plain,
( ( sK16(iPr_def_18) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_128663,c_117083]) ).
tcf(c_245915,plain,
( ( sK17(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129028,c_117083]) ).
tcf(c_245916,plain,
( ( sK17(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129032,c_117083]) ).
tcf(c_245917,plain,
( ( sK19(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129208,c_117083]) ).
tcf(c_245918,plain,
( ( sK19(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129212,c_117083]) ).
tcf(c_245919,plain,
( ( sK25(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129339,c_117083]) ).
tcf(c_245920,plain,
( ( sK25(sK2) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129343,c_117083]) ).
tcf(c_245921,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK17(sK3),sK3)
| ~ m1_subset_1(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129415,c_117083]) ).
tcf(c_245922,plain,
( ( sK17(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK17(sK3),sK3)
| ~ m1_subset_1(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129428,c_117083]) ).
tcf(c_245923,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK19(sK3),sK3)
| ~ m1_subset_1(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129615,c_117083]) ).
tcf(c_245924,plain,
( ( sK19(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK19(sK3),sK3)
| ~ m1_subset_1(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129628,c_117083]) ).
tcf(c_245925,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK25(sK3),sK3)
| ~ m1_subset_1(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129751,c_117083]) ).
tcf(c_245926,plain,
( ( sK25(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK25(sK3),sK3)
| ~ m1_subset_1(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129764,c_117083]) ).
tcf(c_245927,plain,
( ( sK16(iPr_def_28) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_28),sK3)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129916,c_117083]) ).
tcf(c_245928,plain,
( ( sK16(iPr_def_28) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_28),sK3)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_19) ),
inference(superposition,[status(thm)],[c_129925,c_117083]) ).
tcf(c_245929,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK3)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130064,c_117083]) ).
tcf(c_245930,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK3)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130068,c_117083]) ).
tcf(c_245931,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130232,c_117083]) ).
tcf(c_245932,plain,
( ( sK12(iPr_def_19) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130245,c_117083]) ).
tcf(c_245933,plain,
( ( sK12(iPr_def_21) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_21),sK3)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130319,c_117083]) ).
tcf(c_245934,plain,
( ( sK12(iPr_def_21) = iPr_def_28 )
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_21),sK3)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130323,c_117083]) ).
tcf(c_245935,plain,
( ( sK12(iPr_def_29) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_29),sK3)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130439,c_117083]) ).
tcf(c_245936,plain,
( ( sK12(iPr_def_29) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_29),sK3)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_19) ),
inference(superposition,[status(thm)],[c_130448,c_117083]) ).
tcf(c_245937,plain,
( ( k1_tarski(sK12(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_131018,c_117083]) ).
tcf(c_245938,plain,
( ( k1_tarski(sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK3)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_131125,c_117083]) ).
tcf(c_245939,plain,
! [X0: $i] :
( ( sK13(iPr_def_20,iPr_def_18) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138461,c_117083]) ).
tcf(c_245940,plain,
! [X0: $i] :
( ( sK11(iPr_def_20,iPr_def_18) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ v1_tsp_2(sK11(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138639,c_117083]) ).
tcf(c_245941,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK3)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_139563,c_117083]) ).
tcf(c_245942,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK3)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_139717,c_117083]) ).
tcf(c_245943,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_139941,c_117083]) ).
tcf(c_245944,plain,
! [X0: $i] :
( ( k1_tarski(sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_140640,c_117083]) ).
tcf(c_245945,plain,
! [X0: $i] :
( ( k1_tarski(sK12(iPr_def_18)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK3)
| ~ m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_140811,c_117083]) ).
tcf(c_245946,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_20)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK2,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_141415,c_117083]) ).
tcf(c_245947,plain,
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_142091,c_117083]) ).
tcf(c_245948,plain,
( ( k1_tarski(sK12(u1_struct_0(sK20))) = u1_struct_0(sK20) )
| ~ v1_tsp_1(u1_struct_0(sK20),sK3)
| ~ m1_subset_1(u1_struct_0(sK20),iPr_def_19)
| ~ v1_tsp_2(k1_tarski(sK12(u1_struct_0(sK20))),sK3)
| ~ m1_subset_1(k1_tarski(sK12(u1_struct_0(sK20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_147715,c_117083]) ).
tcf(c_245949,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_funct_1(sK4,iPr_def_30),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_19) ),
inference(superposition,[status(thm)],[c_145140,c_117083]) ).
tcf(c_245950,plain,
! [X0: $i] :
( ( k1_funct_1(sK4,sK12(iPr_def_20)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_funct_1(sK4,sK12(iPr_def_20)),sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_151380,c_117083]) ).
tcf(c_245951,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_150755,c_117083]) ).
tcf(c_245952,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_151649,c_117083]) ).
tcf(c_245953,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_156169,c_117083]) ).
tcf(c_245954,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_157453,c_117083]) ).
tcf(c_245955,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(X1,sK3)
| ~ m1_subset_1(X1,iPr_def_19)
| ~ v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_153694,c_117083]) ).
tcf(c_245956,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_161408,c_117083]) ).
tcf(c_245957,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_164394,c_117083]) ).
tcf(c_245958,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_170151,c_117083]) ).
tcf(c_245959,plain,
( ( k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_172491,c_117083]) ).
tcf(c_245960,plain,
( ( iPr_def_20 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245901,c_115998]) ).
tcf(c_245975,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ v1_tsp_2(iPr_def_18,sK3)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245886,c_119983]) ).
tcf(c_245995,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245881,c_115998,c_119983]) ).
tcf(c_245999,plain,
( ( iPr_def_18 = iPr_def_26 )
| ~ v1_tsp_2(iPr_def_26,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245870,c_8263,c_119983]) ).
tcf(c_246003,plain,
( ( iPr_def_18 = iPr_def_25 )
| ~ v1_tsp_2(iPr_def_25,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245869,c_8261,c_119983]) ).
tcf(c_246007,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ v1_tsp_2(iPr_def_17,sK3)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245868,c_119983,c_8241]) ).
tcf(c_246011,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK3)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245832,c_114343]) ).
tcf(c_246046,plain,
( ( sK25(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245878,c_119983,c_115430]) ).
tcf(c_246050,plain,
( ( sK19(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245877,c_119983,c_115385]) ).
tcf(c_246054,plain,
( ( sK17(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245876,c_119983,c_115359]) ).
tcf(c_246058,plain,
( ( sK16(iPr_def_18) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245872,c_119983,c_114309]) ).
tcf(c_246072,plain,
( ( sK12(iPr_def_19) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245863,c_119983,c_173]) ).
tcf(c_246088,plain,
( ( k1_tarski(sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245938,c_119983,c_131041]) ).
tcf(c_246102,plain,
( ( k2_tex_4(sK3,iPr_def_30) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245907,c_119983,c_126268]) ).
tcf(c_246116,plain,
( ( u1_struct_0(sK14(sK3)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245874,c_119983,c_115075]) ).
tcf(c_246120,plain,
( ( u1_struct_0(sK10(sK3)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245873,c_119983,c_114773]) ).
tcf(c_246144,plain,
( ( sK12(iPr_def_29) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK12(iPr_def_29),sK3)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245936,c_119983]) ).
tcf(c_246162,plain,
( ( sK12(iPr_def_21) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK12(iPr_def_21),sK3)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245933,c_119983]) ).
tcf(c_246168,plain,
( ( sK12(iPr_def_19) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245932,c_173]) ).
tcf(c_246174,plain,
( ( sK12(iPr_def_19) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245931,c_173]) ).
tcf(c_246186,plain,
( ( k1_tarski(iPr_def_27) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k1_tarski(iPr_def_27),sK3)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245929,c_119983]) ).
tcf(c_246192,plain,
( ( sK16(iPr_def_28) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK16(iPr_def_28),sK3)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245928,c_119983]) ).
tcf(c_246204,plain,
( ( sK25(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245926,c_115430]) ).
tcf(c_246210,plain,
( ( sK25(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245925,c_115430]) ).
tcf(c_246216,plain,
( ( sK19(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245924,c_115385]) ).
tcf(c_246222,plain,
( ( sK19(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245923,c_115385]) ).
tcf(c_246228,plain,
( ( sK17(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245922,c_115359]) ).
tcf(c_246234,plain,
( ( sK17(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245921,c_115359]) ).
tcf(c_246246,plain,
( ( sK25(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK25(sK2),sK3)
| ~ m1_subset_1(sK25(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245919,c_119983]) ).
tcf(c_246258,plain,
( ( sK19(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK19(sK2),sK3)
| ~ m1_subset_1(sK19(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245917,c_119983]) ).
tcf(c_246270,plain,
( ( sK17(sK2) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK17(sK2),sK3)
| ~ m1_subset_1(sK17(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245915,c_119983]) ).
tcf(c_246276,plain,
( ( sK16(iPr_def_18) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245914,c_114309]) ).
tcf(c_246282,plain,
( ( sK16(iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245913,c_114309]) ).
tcf(c_246294,plain,
( ( sK16(iPr_def_20) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK16(iPr_def_20),sK3)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245910,c_119983]) ).
tcf(c_246306,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245953,c_151647]) ).
tcf(c_246311,plain,
( ( k1_tarski(k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,iPr_def_30)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245952,c_119983,c_151647]) ).
tcf(c_246315,plain,
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245947,c_119983,c_142089]) ).
tcf(c_246330,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| ( sK6(iPr_def_19,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK6(iPr_def_19,X0),sK3)
| ~ m1_subset_1(sK6(iPr_def_19,X0),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245905,c_119983]) ).
tcf(c_246360,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k1_struct_0(sK3,X0),sK3)
| ~ m1_subset_1(k1_struct_0(sK3,X0),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245880,c_119983]) ).
tcf(c_246366,plain,
! [X0: $i] :
( ( k4_tex_4(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k4_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k4_tex_4(sK3,X0),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245879,c_119983]) ).
tcf(c_246372,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_tsp_2(k2_tex_4(sK3,X0),sK3)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245871,c_119983]) ).
tcf(c_246390,plain,
! [X0: $i] :
( ( k1_tarski(sK12(iPr_def_18)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k1_tarski(sK12(iPr_def_18)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245945,c_131041]) ).
tcf(c_246402,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,iPr_def_30) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK3,iPr_def_30),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245943,c_126268]) ).
tcf(c_246408,plain,
! [X0: $i] :
( ( u1_struct_0(sK14(sK3)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245942,c_115075]) ).
tcf(c_246414,plain,
! [X0: $i] :
( ( u1_struct_0(sK10(sK3)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245941,c_114773]) ).
tcf(c_246450,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245958,c_164392]) ).
tcf(c_246455,plain,
( ( k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245957,c_119983,c_164392]) ).
tcf(c_246464,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245951,c_119983,c_150753]) ).
tcf(c_246549,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK12(iPr_def_18)) = X0 )
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0))
| ~ v1_tsp_2(k2_tex_4(sK3,sK12(iPr_def_18)),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245912,c_142089]) ).
tcf(c_246572,plain,
( ( k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20))),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245956,c_119983,c_161406]) ).
tcf(c_246606,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ v1_tsp_2(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),sK3)
| ~ m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_245875,c_119983]) ).
tcf(c_247528,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( sK7(sK2,X0) = X0 )
| ~ v1_tsp_2(X0,sK3)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(sK7(sK2,X0))
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114387,c_245857]) ).
tcf(c_247571,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_245465,c_116408]) ).
tcf(c_247572,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_245465,c_116002]) ).
tcf(c_247573,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_245465,c_115708]) ).
tcf(c_247574,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_245465,c_114071]) ).
tcf(c_247613,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_245535,c_116408]) ).
tcf(c_247614,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_245535,c_116002]) ).
tcf(c_247615,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_245535,c_115708]) ).
tcf(c_247616,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_245535,c_114071]) ).
tcf(c_247720,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_245660,c_116408]) ).
tcf(c_247721,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_245660,c_116002]) ).
tcf(c_247722,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_245660,c_115708]) ).
tcf(c_247723,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_245660,c_114071]) ).
tcf(c_247738,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_245692,c_116408]) ).
tcf(c_247739,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_245692,c_116002]) ).
tcf(c_247740,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_245692,c_115708]) ).
tcf(c_247741,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_245692,c_114071]) ).
tcf(c_247756,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_196463,c_1178]) ).
tcf(c_247757,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_196463,c_152]) ).
tcf(c_247758,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196463,c_61]) ).
tcf(c_247760,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_196463,c_292]) ).
tcf(c_247761,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196463,c_8259]) ).
tcf(c_247762,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196463,c_8246]) ).
tcf(c_247788,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196466,c_1178]) ).
tcf(c_247789,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_196466,c_152]) ).
tcf(c_247790,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_196466,c_61]) ).
tcf(c_247792,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_196466,c_292]) ).
tcf(c_247793,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_21))) = k1_struct_0(sK3,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_196466,c_8259]) ).
tcf(c_247794,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_196466,c_8246]) ).
tcf(c_247805,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247794,c_120337]) ).
tcf(c_247944,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197358,c_1178]) ).
tcf(c_247945,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197358,c_152]) ).
tcf(c_247946,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197358,c_61]) ).
tcf(c_247948,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_197358,c_292]) ).
tcf(c_247949,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197358,c_8259]) ).
tcf(c_247950,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197358,c_8246]) ).
tcf(c_247961,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247950,c_116663,c_8268]) ).
tcf(c_247964,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_247949,c_119983]) ).
tcf(c_248008,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_20)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_125889]) ).
tcf(c_248009,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK16(iPr_def_20)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_125889]) ).
tcf(c_248010,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_20)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248008,c_116015]) ).
tcf(c_248011,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_20)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK16(iPr_def_20),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248010,c_8266]) ).
tcf(c_248044,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_18)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_125953]) ).
tcf(c_248045,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK16(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_125953]) ).
tcf(c_248046,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_18)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248044,c_116015]) ).
tcf(c_248047,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_18)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK16(iPr_def_18),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248046,c_8266]) ).
tcf(c_248130,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_21)) = k1_funct_1(sK4,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_247792,c_116408]) ).
tcf(c_248131,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_247792,c_116002]) ).
tcf(c_248132,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_21)) = k1_tarski(sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_247792,c_115708]) ).
tcf(c_248133,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_21)))) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_21)),k4_tex_4(sK2,sK12(iPr_def_21))) = k1_struct_0(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_247792,c_114071]) ).
tcf(c_248148,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_247948,c_116034]) ).
tcf(c_248149,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_247948,c_115761]) ).
tcf(c_248163,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197359,c_1178]) ).
tcf(c_248164,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197359,c_152]) ).
tcf(c_248165,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197359,c_61]) ).
tcf(c_248167,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_197359,c_292]) ).
tcf(c_248168,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197359,c_8259]) ).
tcf(c_248169,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197359,c_8246]) ).
tcf(c_248180,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248169,c_116663,c_8268]) ).
tcf(c_248183,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248168,c_119983]) ).
tcf(c_248194,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197360,c_1178]) ).
tcf(c_248195,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197360,c_152]) ).
tcf(c_248196,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197360,c_61]) ).
tcf(c_248198,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_197360,c_292]) ).
tcf(c_248199,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197360,c_8259]) ).
tcf(c_248200,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197360,c_8246]) ).
tcf(c_248211,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248200,c_116663,c_8268]) ).
tcf(c_248214,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248199,c_119983]) ).
tcf(c_248225,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197371,c_1178]) ).
tcf(c_248226,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197371,c_152]) ).
tcf(c_248227,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197371,c_61]) ).
tcf(c_248229,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_197371,c_292]) ).
tcf(c_248230,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197371,c_8259]) ).
tcf(c_248231,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197371,c_8246]) ).
tcf(c_248242,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_18,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248231,c_116663,c_8268]) ).
tcf(c_248245,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_18,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_18,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248230,c_119983]) ).
tcf(c_248365,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197373,c_1178]) ).
tcf(c_248366,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197373,c_152]) ).
tcf(c_248367,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197373,c_61]) ).
tcf(c_248369,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_197373,c_292]) ).
tcf(c_248370,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197373,c_8259]) ).
tcf(c_248371,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197373,c_8246]) ).
tcf(c_248382,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248371,c_120337]) ).
tcf(c_248479,plain,
( ( k2_tex_4(sK2,sK17(sK2)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK17(sK2),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_126691]) ).
tcf(c_248480,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK17(sK2),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_126691]) ).
tcf(c_248481,plain,
( ( k2_tex_4(sK2,sK17(sK2)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK17(sK2),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248479,c_116015]) ).
tcf(c_248482,plain,
( ( k2_tex_4(sK2,sK17(sK2)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK17(sK2),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248481,c_8266]) ).
tcf(c_248509,plain,
( ( k2_tex_4(sK2,sK19(sK2)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK19(sK2),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_126768]) ).
tcf(c_248510,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK19(sK2),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_126768]) ).
tcf(c_248511,plain,
( ( k2_tex_4(sK2,sK19(sK2)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK19(sK2),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248509,c_116015]) ).
tcf(c_248512,plain,
( ( k2_tex_4(sK2,sK19(sK2)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK19(sK2),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248511,c_8266]) ).
tcf(c_248542,plain,
( ( k2_tex_4(sK2,sK25(sK2)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK25(sK2),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_126831]) ).
tcf(c_248543,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK25(sK2),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_126831]) ).
tcf(c_248544,plain,
( ( k2_tex_4(sK2,sK25(sK2)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK25(sK2),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248542,c_116015]) ).
tcf(c_248545,plain,
( ( k2_tex_4(sK2,sK25(sK2)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK25(sK2),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248544,c_8266]) ).
tcf(c_248580,plain,
( ( k2_tex_4(sK2,sK17(sK3)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK17(sK3),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_126919]) ).
tcf(c_248581,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK17(sK3),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_126919]) ).
tcf(c_248582,plain,
( ( k2_tex_4(sK2,sK17(sK3)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK17(sK3),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248580,c_116015]) ).
tcf(c_248583,plain,
( ( k2_tex_4(sK2,sK17(sK3)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK17(sK3),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248582,c_8266]) ).
tcf(c_248603,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_248167,c_116034]) ).
tcf(c_248604,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_248167,c_115761]) ).
tcf(c_248614,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_248198,c_116034]) ).
tcf(c_248615,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_248198,c_115761]) ).
tcf(c_248625,plain,
( ( k4_tex_4(sK3,sK12(iPr_def_29)) = k2_tex_4(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_248229,c_116034]) ).
tcf(c_248626,plain,
( ( k1_struct_0(sK3,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_248229,c_115761]) ).
tcf(c_248636,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_248369,c_116408]) ).
tcf(c_248637,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_248369,c_116002]) ).
tcf(c_248638,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_248369,c_115708]) ).
tcf(c_248639,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_248369,c_114071]) ).
tcf(c_248677,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197374,c_1178]) ).
tcf(c_248678,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197374,c_152]) ).
tcf(c_248679,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197374,c_61]) ).
tcf(c_248681,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_197374,c_292]) ).
tcf(c_248682,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197374,c_8259]) ).
tcf(c_248683,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197374,c_8246]) ).
tcf(c_248694,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248683,c_120337]) ).
tcf(c_248709,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197375,c_1178]) ).
tcf(c_248710,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197375,c_152]) ).
tcf(c_248711,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197375,c_61]) ).
tcf(c_248713,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_197375,c_292]) ).
tcf(c_248714,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197375,c_8259]) ).
tcf(c_248715,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197375,c_8246]) ).
tcf(c_248726,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248715,c_120337]) ).
tcf(c_248839,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197376,c_1178]) ).
tcf(c_248840,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197376,c_152]) ).
tcf(c_248841,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197376,c_61]) ).
tcf(c_248843,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_197376,c_292]) ).
tcf(c_248844,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197376,c_8259]) ).
tcf(c_248845,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197376,c_8246]) ).
tcf(c_248856,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248845,c_120337]) ).
tcf(c_248871,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197378,c_1178]) ).
tcf(c_248872,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197378,c_152]) ).
tcf(c_248873,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197378,c_61]) ).
tcf(c_248875,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_197378,c_292]) ).
tcf(c_248876,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197378,c_8259]) ).
tcf(c_248877,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197378,c_8246]) ).
tcf(c_248888,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248877,c_120337]) ).
tcf(c_248916,plain,
( ( k2_tex_4(sK2,sK19(sK3)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK19(sK3),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_127046]) ).
tcf(c_248917,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK19(sK3),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_127046]) ).
tcf(c_248918,plain,
( ( k2_tex_4(sK2,sK19(sK3)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK19(sK3),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248916,c_116015]) ).
tcf(c_248919,plain,
( ( k2_tex_4(sK2,sK19(sK3)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK19(sK3),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248918,c_8266]) ).
tcf(c_248940,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_127119]) ).
tcf(c_248941,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,sK7(sK2,k1_zfmisc_1(X0))))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_127119]) ).
tcf(c_248942,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,sK6(sK7(sK2,k1_zfmisc_1(X0)),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,k1_zfmisc_1(X0)),X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_127119]) ).
tcf(c_248943,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_127119]) ).
tcf(c_248944,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_8225,c_127119]) ).
tcf(c_248945,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_8227,c_127119]) ).
tcf(c_248946,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_8235,c_127119]) ).
tcf(c_249008,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248940,c_116492,c_116991]) ).
tcf(c_249024,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(iPr_def_18)),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_19)))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_249008]) ).
tcf(c_249025,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(iPr_def_20)),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_21)))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_249008]) ).
tcf(c_249026,plain,
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(iPr_def_28)),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,iPr_def_29)))
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_249008]) ).
tcf(c_249027,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),X1) ),
inference(superposition,[status(thm)],[c_249008,c_1179]) ).
tcf(c_249028,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_xboole_0,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),X1) ),
inference(superposition,[status(thm)],[c_249008,c_1178]) ).
tcf(c_249029,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),X1) ),
inference(superposition,[status(thm)],[c_249008,c_152]) ).
tcf(c_249030,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_249008,c_61]) ).
tcf(c_249031,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0)))) ),
inference(superposition,[status(thm)],[c_249008,c_305]) ).
tcf(c_249032,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_249008,c_292]) ).
tcf(c_249033,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_249008,c_8259]) ).
tcf(c_249034,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_249008,c_8246]) ).
tcf(c_249122,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2) ),
inference(superposition,[status(thm)],[c_8225,c_248943]) ).
tcf(c_249123,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2) ),
inference(superposition,[status(thm)],[c_8227,c_248943]) ).
tcf(c_249124,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2) ),
inference(superposition,[status(thm)],[c_8235,c_248943]) ).
tcf(c_249146,plain,
( ( k2_tex_4(sK2,sK25(sK3)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK25(sK3),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_127273]) ).
tcf(c_249147,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK25(sK3),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_127273]) ).
tcf(c_249148,plain,
( ( k2_tex_4(sK2,sK25(sK3)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK25(sK3),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_249146,c_116015]) ).
tcf(c_249149,plain,
( ( k2_tex_4(sK2,sK25(sK3)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK25(sK3),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249148,c_8266]) ).
tcf(c_249178,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_248681,c_116408]) ).
tcf(c_249179,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_248681,c_116002]) ).
tcf(c_249180,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_248681,c_115708]) ).
tcf(c_249181,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_248681,c_114071]) ).
tcf(c_249196,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_248713,c_116408]) ).
tcf(c_249197,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_248713,c_116002]) ).
tcf(c_249198,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_248713,c_115708]) ).
tcf(c_249199,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_248713,c_114071]) ).
tcf(c_249220,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_248843,c_116408]) ).
tcf(c_249221,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_248843,c_116002]) ).
tcf(c_249222,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_248843,c_115708]) ).
tcf(c_249223,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_248843,c_114071]) ).
tcf(c_249238,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_248875,c_116408]) ).
tcf(c_249239,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_248875,c_116002]) ).
tcf(c_249240,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_248875,c_115708]) ).
tcf(c_249241,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_248875,c_114071]) ).
tcf(c_249263,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_197388,c_1178]) ).
tcf(c_249264,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_197388,c_152]) ).
tcf(c_249265,plain,
( ~ r1_tarski(iPr_def_29,sK4)
| ~ r2_hidden(iPr_def_28,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197388,c_61]) ).
tcf(c_249267,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_197388,c_292]) ).
tcf(c_249268,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_28,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,sK4)
| ~ v1_tsp_1(iPr_def_28,sK3)
| ~ m1_subset_1(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197388,c_8259]) ).
tcf(c_249269,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_28,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,sK4)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197388,c_8246]) ).
tcf(c_249335,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197391,c_1178]) ).
tcf(c_249336,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_197391,c_152]) ).
tcf(c_249337,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_197391,c_61]) ).
tcf(c_249339,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_197391,c_292]) ).
tcf(c_249340,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_20,k4_tex_4(sK3,sK12(iPr_def_29))) = k1_struct_0(sK3,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19) ),
inference(superposition,[status(thm)],[c_197391,c_8259]) ).
tcf(c_249341,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_197391,c_8246]) ).
tcf(c_249352,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_20,k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249341,c_120337]) ).
tcf(c_249416,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_28)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_127381]) ).
tcf(c_249417,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK16(iPr_def_28)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_127381]) ).
tcf(c_249418,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_28)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_249416,c_116015]) ).
tcf(c_249419,plain,
( ( k2_tex_4(sK2,sK16(iPr_def_28)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(sK16(iPr_def_28),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249418,c_8266]) ).
tcf(c_249456,plain,
( ( k2_tex_4(sK2,k1_tarski(iPr_def_27)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_127841]) ).
tcf(c_249457,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,k1_tarski(iPr_def_27)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_127841]) ).
tcf(c_249458,plain,
( ( k2_tex_4(sK2,k1_tarski(iPr_def_27)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_249456,c_116015]) ).
tcf(c_249459,plain,
( ( k2_tex_4(sK2,k1_tarski(iPr_def_27)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(k1_tarski(iPr_def_27),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249458,c_8266]) ).
tcf(c_249509,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_19)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_127911]) ).
tcf(c_249510,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK12(iPr_def_19)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_127911]) ).
tcf(c_249511,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_19)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_249509,c_116015]) ).
tcf(c_249512,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_19)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK12(iPr_def_19),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249511,c_8266]) ).
tcf(c_249539,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_21)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_128070]) ).
tcf(c_249540,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK12(iPr_def_21)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_128070]) ).
tcf(c_249541,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_21)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_249539,c_116015]) ).
tcf(c_249542,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_21)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ m1_subset_1(sK12(iPr_def_21),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249541,c_8266]) ).
tcf(c_249576,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK12(iPr_def_29)) = k1_funct_1(sK4,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_249339,c_116408]) ).
tcf(c_249577,plain,
( ( k4_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_249339,c_116002]) ).
tcf(c_249578,plain,
( ( k1_struct_0(sK2,sK12(iPr_def_29)) = k1_tarski(sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_249339,c_115708]) ).
tcf(c_249579,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK12(iPr_def_29)))) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK12(iPr_def_29)),k4_tex_4(sK2,sK12(iPr_def_29))) = k1_struct_0(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_249339,c_114071]) ).
tcf(c_249619,plain,
( ( k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_19) ),
inference(superposition,[status(thm)],[c_203317,c_117083]) ).
tcf(c_249620,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_128179]) ).
tcf(c_249621,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_128063]) ).
tcf(c_249622,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_127904]) ).
tcf(c_249623,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_127834]) ).
tcf(c_249624,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_127374]) ).
tcf(c_249625,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_127266]) ).
tcf(c_249626,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_127039]) ).
tcf(c_249627,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_126912]) ).
tcf(c_249628,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_126824]) ).
tcf(c_249629,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_126761]) ).
tcf(c_249630,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_126684]) ).
tcf(c_249632,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_125946]) ).
tcf(c_249633,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_125882]) ).
tcf(c_249639,plain,
( ( k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK2)
| ~ m1_subset_1(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),iPr_def_21) ),
inference(superposition,[status(thm)],[c_203317,c_117091]) ).
tcf(c_249673,plain,
( ( k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249619,c_119983,c_203315]) ).
tcf(c_249829,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_29)) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_128186]) ).
tcf(c_249830,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,sK12(iPr_def_29)) )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_128186]) ).
tcf(c_249831,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_29)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_249829,c_116015]) ).
tcf(c_249832,plain,
( ( k2_tex_4(sK2,sK12(iPr_def_29)) = iPr_def_32 )
| ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ m1_subset_1(sK12(iPr_def_29),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249831,c_8266]) ).
tcf(c_250083,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_30),X0)) = k2_tex_4(sK2,iPr_def_30) )
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_127580]) ).
tcf(c_250084,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK2)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116849,c_127580]) ).
tcf(c_250085,plain,
( v1_tsp_2(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ v1_tsp_1(k2_tex_4(sK2,iPr_def_30),sK3)
| ~ m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,k2_tex_4(sK2,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_116843,c_127580]) ).
tcf(c_250089,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_30),X0)) = k2_tex_4(sK2,iPr_def_30) )
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250083,c_122454]) ).
tcf(c_250142,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,sK7(sK2,k1_zfmisc_1(X0))))
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_151798]) ).
tcf(c_250143,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_xboole_0,X1)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,sK6(sK7(sK2,k1_zfmisc_1(X0)),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,k1_zfmisc_1(X0)),X1)) )
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_151798]) ).
tcf(c_250144,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_151798]) ).
tcf(c_250145,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_8225,c_151798]) ).
tcf(c_250146,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_8227,c_151798]) ).
tcf(c_250147,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_8235,c_151798]) ).
tcf(c_250179,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2) ),
inference(superposition,[status(thm)],[c_8225,c_250144]) ).
tcf(c_250180,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2) ),
inference(superposition,[status(thm)],[c_8227,c_250144]) ).
tcf(c_250181,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2) ),
inference(superposition,[status(thm)],[c_8235,c_250144]) ).
tcf(c_250195,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114498,c_152908]) ).
tcf(c_250197,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK2)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,k1_zfmisc_1(X0)))) ),
inference(superposition,[status(thm)],[c_116849,c_152908]) ).
tcf(c_250198,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_tsp_2(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,k1_zfmisc_1(X0)),sK3)
| ~ m1_subset_1(sK7(sK2,k1_zfmisc_1(X0)),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,k1_zfmisc_1(X0)))) ),
inference(superposition,[status(thm)],[c_116843,c_152908]) ).
tcf(c_250199,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,k1_zfmisc_1(X0)),k4_tex_4(sK2,sK6(sK7(sK2,k1_zfmisc_1(X0)),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,k1_zfmisc_1(X0)),X1)) )
| ~ v1_xboole_0(X1)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_152908]) ).
tcf(c_250201,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_19),X0) ),
inference(superposition,[status(thm)],[c_8225,c_152908]) ).
tcf(c_250202,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_21),X0) ),
inference(superposition,[status(thm)],[c_8227,c_152908]) ).
tcf(c_250203,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_xboole_0(X0)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21)
| ~ r1_tarski(sK7(sK2,iPr_def_29),X0) ),
inference(superposition,[status(thm)],[c_8235,c_152908]) ).
tcf(c_250248,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_155883]) ).
tcf(c_250250,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116849,c_155883]) ).
tcf(c_250251,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116843,c_155883]) ).
tcf(c_250252,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_155883]) ).
tcf(c_250285,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_250250,c_13563,c_14239,c_250250]) ).
tcf(c_250300,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK2,sK12(sK7(sK2,sK7(sK2,X0))))) = k1_struct_0(sK2,sK12(sK7(sK2,sK7(sK2,X0)))) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_250285]) ).
tcf(c_250348,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(iPr_def_30,X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_155884]) ).
tcf(c_250350,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| m1_subset_1(iPr_def_30,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_155884]) ).
tcf(c_250351,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| m1_subset_1(iPr_def_30,sK7(sK3,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_155884]) ).
tcf(c_250352,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(iPr_def_30,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_155884]) ).
tcf(c_250384,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| m1_subset_1(iPr_def_30,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_250350,c_13563,c_14239,c_250350]) ).
tcf(c_250399,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,X0)))
| r2_hidden(iPr_def_30,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_250384,c_299]) ).
tcf(c_250420,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(iPr_def_30,X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_155885]) ).
tcf(c_250422,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| r2_hidden(iPr_def_30,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_155885]) ).
tcf(c_250423,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| r2_hidden(iPr_def_30,sK7(sK3,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_155885]) ).
tcf(c_250424,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(iPr_def_30,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_155885]) ).
tcf(c_250464,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| r2_hidden(iPr_def_30,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_250422,c_250285,c_250399]) ).
tcf(c_250479,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_250464,c_1179]) ).
tcf(c_250480,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(iPr_def_30,X1)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_250464,c_1178]) ).
tcf(c_250481,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(iPr_def_30,X1)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_250464,c_152]) ).
tcf(c_250482,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,X0)),iPr_def_30) ),
inference(superposition,[status(thm)],[c_250464,c_61]) ).
tcf(c_250485,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK3,iPr_def_30)) = k1_struct_0(sK3,iPr_def_30) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_250464,c_8259]) ).
tcf(c_250486,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK2,iPr_def_30)) = k1_struct_0(sK2,iPr_def_30) )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_250464,c_8246]) ).
tcf(c_250514,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,X0)),k2_tex_4(sK2,iPr_def_30)) = iPr_def_31 )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,X0)),iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_250486,c_122521,c_122524]) ).
tcf(c_250523,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,X0)),k2_tex_4(sK3,iPr_def_30)) = iPr_def_31 )
| ~ r1_tarski(iPr_def_32,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,X0)),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_250485,c_8237,c_116046]) ).
tcf(c_250584,plain,
( v1_xboole_0(iPr_def_18)
| v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_8225,c_156690]) ).
tcf(c_250585,plain,
( v1_xboole_0(iPr_def_20)
| v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_8227,c_156690]) ).
tcf(c_250586,plain,
( v1_xboole_0(iPr_def_28)
| v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_8235,c_156690]) ).
tcf(c_250587,plain,
( v1_xboole_0(iPr_def_28)
| v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),sK16(iPr_def_28)) ),
inference(light_normalisation,[status(thm)],[c_250586,c_8235]) ).
tcf(c_250588,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_29),sK16(iPr_def_28)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250587,c_114788]) ).
tcf(c_250593,plain,
( v1_xboole_0(iPr_def_20)
| v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_21),sK16(iPr_def_20)) ),
inference(light_normalisation,[status(thm)],[c_250585,c_8227]) ).
tcf(c_250595,plain,
( v1_xboole_0(iPr_def_18)
| v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),sK16(iPr_def_18)) ),
inference(light_normalisation,[status(thm)],[c_250584,c_8225]) ).
tcf(c_250596,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r2_hidden(sK7(sK2,iPr_def_19),sK16(iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250595,c_8242]) ).
tcf(c_250635,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_18),sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_19))
| ~ r1_tarski(X0,iPr_def_18)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_18),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8225,c_166740]) ).
tcf(c_250636,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_20),sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_21))
| ~ r1_tarski(X0,iPr_def_20)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_20),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8227,c_166740]) ).
tcf(c_250637,plain,
! [X0: $i] :
( v1_tsp_2(k1_zfmisc_1(iPr_def_28),sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_29))
| ~ r1_tarski(X0,iPr_def_28)
| ~ v1_tsp_1(k1_zfmisc_1(iPr_def_28),sK2)
| ~ m1_subset_1(k1_zfmisc_1(iPr_def_28),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8235,c_166740]) ).
tcf(c_250638,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(k1_zfmisc_1(X0),sK2)
| v1_xboole_0(sK7(sK2,k1_zfmisc_1(X0)))
| r2_hidden(X1,sK7(sK2,k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X0)
| ~ v1_tsp_1(k1_zfmisc_1(X0),sK2)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166740,c_299]) ).
tcf(c_250639,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_29,sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_29))
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(light_normalisation,[status(thm)],[c_250637,c_8235]) ).
tcf(c_250645,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_21,sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_21))
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_250636,c_8227]) ).
tcf(c_250651,plain,
! [X0: $i] :
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(X0,sK7(sK2,iPr_def_19))
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_250635,c_8225]) ).
tcf(c_250679,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_169685]) ).
tcf(c_250681,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116849,c_169685]) ).
tcf(c_250682,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116843,c_169685]) ).
tcf(c_250683,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_169685]) ).
tcf(c_250738,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_250681,c_13563,c_14239,c_250681]) ).
tcf(c_250753,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK2,sK12(sK7(sK2,sK7(sK2,X0))))) = k1_struct_0(sK2,sK12(sK7(sK2,sK7(sK2,X0)))) )
| ~ r1_tarski(iPr_def_21,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_250738]) ).
tcf(c_252463,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK3)
| ~ m1_subset_1(iPr_def_20,iPr_def_19)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138468,c_117083]) ).
tcf(c_252465,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_128063]) ).
tcf(c_252466,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_127904]) ).
tcf(c_252467,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_127834]) ).
tcf(c_252469,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_127266]) ).
tcf(c_252470,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_127039]) ).
tcf(c_252471,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_126912]) ).
tcf(c_252472,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_126824]) ).
tcf(c_252473,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_126761]) ).
tcf(c_252474,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_126684]) ).
tcf(c_252476,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_125946]) ).
tcf(c_252477,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_125882]) ).
tcf(c_252483,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138468,c_117091]) ).
tcf(c_252524,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_20 )
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252483,c_120337]) ).
tcf(c_252563,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ m1_subset_1(iPr_def_18,iPr_def_19)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_138478,c_117083]) ).
tcf(c_252565,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_128063]) ).
tcf(c_252566,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_127904]) ).
tcf(c_252567,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_127834]) ).
tcf(c_252569,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_127266]) ).
tcf(c_252570,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_127039]) ).
tcf(c_252571,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_126912]) ).
tcf(c_252572,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_126824]) ).
tcf(c_252573,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_126761]) ).
tcf(c_252574,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_126684]) ).
tcf(c_252576,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_125946]) ).
tcf(c_252577,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_125882]) ).
tcf(c_252583,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(superposition,[status(thm)],[c_138478,c_117091]) ).
tcf(c_252624,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252583,c_116663,c_8268]) ).
tcf(c_252629,plain,
( ( sK13(iPr_def_20,iPr_def_18) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(sK13(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252563,c_119983]) ).
fof(f303,definition,
! [X1,X0] :
( ~ sP0(X1,X0)
| ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f304,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| sP0(X1,X0) ) ),
inference(definition_folding,[],[f207,f303]) ).
fof(f305,definition,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f306,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP1(X0) ),
inference(definition_folding,[],[f273,f305]) ).
fof(f308,plain,
! [X1,X0] :
( ~ sP0(X1,X0)
| ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ),
inference(nnf_transformation,[],[f303]) ).
fof(f309,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ( v3_tops_1(X0,X1)
& v2_tops_1(X0,X1)
& v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& v4_pre_topc(X0,X1)
& v3_pre_topc(X0,X1)
& v1_xboole_0(X0) ) ),
inference(rectify,[],[f308]) ).
fof(f336,plain,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(nnf_transformation,[],[f305]) ).
fof(f337,plain,
! [X0] :
( ~ sP1(X0)
| ( v3_tops_1(sK24(X0),X0)
& v2_tops_1(sK24(X0),X0)
& v5_membered(sK24(X0))
& v4_membered(sK24(X0))
& v3_membered(sK24(X0))
& v2_membered(sK24(X0))
& v1_membered(sK24(X0))
& v4_pre_topc(sK24(X0),X0)
& v3_pre_topc(sK24(X0),X0)
& v1_xboole_0(sK24(X0))
& m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24(X0))],[f336]) ).
fof(f449,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f593,plain,
! [X0] :
( ~ sP1(X0)
| v3_tops_1(sK24(X0),X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f601,plain,
! [X0] :
( ~ sP1(X0)
| v3_pre_topc(sK24(X0),X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f602,plain,
! [X0] :
( ~ sP1(X0)
| v1_xboole_0(sK24(X0)) ),
inference(cnf_transformation,[],[f337]) ).
fof(f603,plain,
! [X0] :
( ~ sP1(X0)
| m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_264,plain,
! [X0: $i] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_265,plain,
! [X0: $i] :
( v1_xboole_0(sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f602]) ).
tcf(c_266,plain,
! [X0: $i] :
( v3_pre_topc(sK24(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f601]) ).
tcf(c_274,plain,
! [X0: $i] :
( v3_tops_1(sK24(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f593]) ).
tcf(c_329,plain,
( v1_xboole_0(sK24(sK2))
| ~ sP1(sK2) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( ~ sP0(X0,X1)
| v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ sP0(X0,X1) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_736,plain,
! [X0: $i] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_264]) ).
tcf(c_740,plain,
! [X0: $i] :
( v3_pre_topc(sK24(X0),X0)
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_266]) ).
tcf(c_756,plain,
! [X0: $i] :
( v3_tops_1(sK24(X0),X0)
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_274]) ).
tcf(c_3916,plain,
! [X0: $i,X1: $i] :
( v3_pre_topc(sK24(X1),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_275,c_740]) ).
tcf(c_3917,plain,
! [X0: $i] :
( v3_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_3916]) ).
tcf(c_3940,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK24(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_275,c_736]) ).
tcf(c_3941,plain,
! [X0: $i] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_3940]) ).
tcf(c_4482,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2)
| ~ sP1(X0)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ v3_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ( X0 != X2 )
| ( sK24(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_135,c_756]) ).
tcf(c_4483,plain,
! [X0: $i] :
( sP0(sK24(X0),X0)
| ~ sP1(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_pre_topc(sK24(X0),X0)
| ~ m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(unflattening,[status(thm)],[c_4482]) ).
tcf(c_4485,plain,
! [X0: $i] :
( sP0(sK24(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4483,c_275,c_3917,c_3941,c_4483]) ).
tcf(c_4486,plain,
! [X0: $i] :
( sP0(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(renaming,[status(thm)],[c_4485]) ).
tcf(c_4679,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != X2 )
| ( sK24(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_597,c_4486]) ).
tcf(c_4680,plain,
! [X0: $i] :
( v1_xboole_0(sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4679]) ).
tcf(c_4702,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK24(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_275,c_736]) ).
tcf(c_4703,plain,
! [X0: $i] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4702]) ).
tcf(c_10760,plain,
( m1_subset_1(sK24(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_4703]) ).
tcf(c_10761,plain,
( m1_subset_1(sK24(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_10760,c_8225]) ).
tcf(c_10762,plain,
m1_subset_1(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_10761,c_8269,c_8267]) ).
tcf(c_10765,plain,
( m1_subset_1(sK24(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_4703]) ).
tcf(c_10766,plain,
( m1_subset_1(sK24(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_10765,c_8227]) ).
tcf(c_10767,plain,
m1_subset_1(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_10766,c_8273,c_8274]) ).
tcf(c_11255,plain,
( v1_tsp_1(sK24(sK2),sK2)
| ~ v1_xboole_0(sK24(sK2)) ),
inference(superposition,[status(thm)],[c_10767,c_11153]) ).
tcf(c_11676,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK24(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_10762,c_299]) ).
tcf(c_11714,plain,
r2_hidden(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11676,c_10764]) ).
tcf(c_12818,plain,
! [X0: $i] :
( r2_hidden(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11714,c_152]) ).
tcf(c_14511,plain,
( m1_subset_1(sK24(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_4703]) ).
tcf(c_14512,plain,
( m1_subset_1(sK24(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_14511,c_8227]) ).
tcf(c_14513,plain,
m1_subset_1(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_14512,c_8273,c_8274]) ).
tcf(c_15847,plain,
( v1_tsp_1(sK24(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK24(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK24(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK24(sK2))),k4_tex_4(sK2,sK5(sK2,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK24(sK2))) ) ),
inference(superposition,[status(thm)],[c_14513,c_15668]) ).
tcf(c_15989,plain,
v1_tsp_1(sK24(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_15847,c_60,c_59,c_329,c_392,c_11255]) ).
tcf(c_15991,plain,
( v1_tsp_1(sK24(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ~ m1_subset_1(sK24(sK2),iPr_def_21)
| ~ m1_subset_1(sK24(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_15989,c_14533]) ).
tcf(c_15992,plain,
( v1_tsp_1(sK24(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ~ m1_subset_1(sK24(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15991,c_14513]) ).
tcf(c_22877,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_12818,c_61]) ).
tcf(c_22879,plain,
! [X0: $i] :
( m1_subset_1(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_12818,c_292]) ).
tcf(c_25293,plain,
( r1_tarski(sK24(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_22879,c_11372]) ).
tcf(c_27709,plain,
( ( sK24(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_25293,c_14345]) ).
tcf(c_27711,plain,
( m1_subset_1(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25293,c_11345]) ).
tcf(c_27716,plain,
( ( sK24(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27709,c_17498]) ).
tcf(c_45835,plain,
( v1_tsp_1(sK24(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ~ v1_xboole_0(sK24(sK2)) ),
inference(superposition,[status(thm)],[c_45018,c_15992]) ).
tcf(c_62181,plain,
! [X0: $i] :
( ( sK24(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4680,c_304]) ).
tcf(c_62765,plain,
( ( sK24(sK3) = k1_xboole_0 )
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8267,c_62181]) ).
tcf(c_62767,plain,
sK24(sK3) = k1_xboole_0,
inference(forward_subsumption_resolution,[status(thm)],[c_62765,c_8269]) ).
tcf(c_62782,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(demodulation,[status(thm)],[c_22877,c_62767]) ).
tcf(c_62855,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_62782,c_219,c_12237]) ).
tcf(c_62866,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_11996,c_62855]) ).
tcf(c_62929,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_48285,c_62866]) ).
tcf(c_111744,plain,
( ( sK24(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK24(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_27716,c_27711,c_27716]) ).
tcf(c_113864,plain,
( m1_subset_1(sK24(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_4703]) ).
tcf(c_113865,plain,
( m1_subset_1(sK24(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_113864,c_8225]) ).
tcf(c_113866,plain,
m1_subset_1(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_113865,c_8269,c_8267]) ).
tcf(c_113869,plain,
( m1_subset_1(sK24(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_4703]) ).
tcf(c_113870,plain,
( m1_subset_1(sK24(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_113869,c_8227]) ).
tcf(c_113871,plain,
m1_subset_1(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_113870,c_8273,c_8274]) ).
tcf(c_114141,plain,
( v1_tsp_1(sK24(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK24(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK24(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK24(sK2))),k4_tex_4(sK2,sK5(sK2,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK24(sK2))) ) ),
inference(superposition,[status(thm)],[c_113871,c_114117]) ).
tcf(c_114164,plain,
v1_tsp_1(sK24(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_114141,c_60,c_59,c_329,c_392,c_11255]) ).
tcf(c_114166,plain,
( v1_tsp_1(sK24(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ~ m1_subset_1(sK24(sK2),iPr_def_21)
| ~ m1_subset_1(sK24(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114164,c_113891]) ).
tcf(c_114167,plain,
( v1_tsp_1(sK24(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ~ m1_subset_1(sK24(sK2),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114166,c_113871]) ).
tcf(c_114171,plain,
( v1_tsp_1(sK24(sK2),sK3)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) ) ),
inference(global_subsumption_just,[status(thm)],[c_114167,c_60,c_59,c_329,c_392,c_45835]) ).
tcf(c_114561,plain,
! [X0: $i] :
( r1_tarski(sK24(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ( k5_subset_1(iPr_def_18,sK24(sK2),k4_tex_4(sK3,sK6(sK24(sK2),X0))) = k1_struct_0(sK3,sK6(sK24(sK2),X0)) )
| ~ m1_subset_1(sK24(sK2),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114171,c_114500]) ).
tcf(c_114589,plain,
! [X0: $i] :
( r1_tarski(sK24(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK6(sK24(sK2),X0))) = k1_struct_0(sK2,sK6(sK24(sK2),X0)) )
| ~ m1_subset_1(sK24(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114164,c_114501]) ).
tcf(c_114594,plain,
! [X0: $i] :
( r1_tarski(sK24(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK6(sK24(sK2),X0))) = k1_struct_0(sK2,sK6(sK24(sK2),X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114589,c_113871]) ).
tcf(c_114669,plain,
! [X0: $i] :
( r1_tarski(sK24(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4703,c_301]) ).
tcf(c_114812,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4703,c_299]) ).
tcf(c_114830,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK24(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_113866,c_299]) ).
tcf(c_114831,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK24(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_113871,c_299]) ).
tcf(c_114867,plain,
r2_hidden(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_114831,c_14791]) ).
tcf(c_114868,plain,
r2_hidden(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_114830,c_14510]) ).
tcf(c_114914,plain,
! [X0: $i] :
( r2_hidden(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114812,c_186]) ).
tcf(c_115232,plain,
~ r2_hidden(iPr_def_21,sK24(sK2)),
inference(superposition,[status(thm)],[c_114867,c_61]) ).
tcf(c_115235,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_21,k4_tex_4(sK3,sK24(sK2))) = k1_struct_0(sK3,sK24(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK3)
| ~ m1_subset_1(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114867,c_8259]) ).
tcf(c_115236,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_21,k4_tex_4(sK2,sK24(sK2))) = k1_struct_0(sK2,sK24(sK2)) )
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114867,c_8246]) ).
tcf(c_115284,plain,
! [X0: $i] :
( r2_hidden(sK24(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_114867,c_152]) ).
tcf(c_116085,plain,
! [X0: $i] :
( r2_hidden(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_114868,c_152]) ).
tcf(c_116086,plain,
~ r2_hidden(iPr_def_19,sK24(sK3)),
inference(superposition,[status(thm)],[c_114868,c_61]) ).
tcf(c_116089,plain,
( ( k5_subset_1(iPr_def_18,iPr_def_19,k4_tex_4(sK3,sK24(sK3))) = k1_struct_0(sK3,sK24(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_19) ),
inference(superposition,[status(thm)],[c_114868,c_8259]) ).
tcf(c_116090,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_19,k4_tex_4(sK2,sK24(sK3))) = k1_struct_0(sK2,sK24(sK3)) )
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114868,c_8246]) ).
tcf(c_116278,plain,
! [X0: $i] :
( v1_tsp_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK24(X0),X0) ),
inference(superposition,[status(thm)],[c_4703,c_157]) ).
tcf(c_116459,plain,
! [X0: $i] :
( v1_tsp_2(sK24(X0),X0)
| v1_tsp_1(sK7(X0,sK24(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK24(X0),X0) ),
inference(superposition,[status(thm)],[c_4703,c_154]) ).
tcf(c_116820,plain,
! [X0: $i] :
( v1_tsp_2(sK24(X0),X0)
| r1_tarski(sK24(X0),sK7(X0,sK24(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(sK24(X0),X0) ),
inference(superposition,[status(thm)],[c_4703,c_155]) ).
tcf(c_117050,plain,
! [X0: $i,X1: $i] :
( ( sK24(X1) = X0 )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK24(X1))
| ~ v1_tsp_1(sK24(X1),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_4703,c_158]) ).
tcf(c_117360,plain,
! [X0: $i] :
( ( sK24(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK6(sK24(sK2),X0))) = k1_struct_0(sK2,sK6(sK24(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK24(sK2),sK2)
| ~ m1_subset_1(sK24(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114594,c_117091]) ).
tcf(c_117404,plain,
! [X0: $i] :
( ( sK24(sK2) = X0 )
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK6(sK24(sK2),X0))) = k1_struct_0(sK2,sK6(sK24(sK2),X0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK24(sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117360,c_113871]) ).
tcf(c_118718,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ~ v1_tsp_2(sK24(sK3),sK3) ),
inference(superposition,[status(thm)],[c_113866,c_116308]) ).
tcf(c_119357,plain,
! [X0: $i] :
( ( sK24(sK2) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(sK24(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114164,c_119339]) ).
tcf(c_119374,plain,
! [X0: $i] :
( ( sK24(sK2) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119357,c_113871]) ).
tcf(c_119858,plain,
( ( sK24(sK2) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ m1_subset_1(sK24(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114164,c_117374]) ).
tcf(c_119869,plain,
( ( sK24(sK2) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119858,c_113871]) ).
tcf(c_119989,plain,
( m1_subset_1(sK24(sK2),iPr_def_19)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK6(sK24(sK2),iPr_def_18))) = k1_struct_0(sK2,sK6(sK24(sK2),iPr_def_18)) ) ),
inference(superposition,[status(thm)],[c_114594,c_114653]) ).
tcf(c_120134,plain,
! [X0: $i] :
( r1_tarski(sK24(sK2),X0)
| ( k5_subset_1(iPr_def_20,sK24(sK2),k4_tex_4(sK2,sK5(sK3,sK24(sK2)))) = k1_struct_0(sK2,sK5(sK3,sK24(sK2))) )
| ( k5_subset_1(iPr_def_18,sK24(sK2),k4_tex_4(sK3,sK6(sK24(sK2),X0))) = k1_struct_0(sK3,sK6(sK24(sK2),X0)) )
| ~ v1_xboole_0(sK24(sK2)) ),
inference(superposition,[status(thm)],[c_119982,c_114561]) ).
tcf(c_120241,plain,
sK24(sK2) = k1_xboole_0,
inference(global_subsumption_just,[status(thm)],[c_119869,c_60,c_59,c_329,c_392,c_12607]) ).
tcf(c_120252,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_120241,c_4703]) ).
tcf(c_120253,plain,
( m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_120252,c_8226,c_8227]) ).
tcf(c_121393,plain,
r1_tarski(sK24(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_113866,c_114678]) ).
tcf(c_122650,plain,
( ( sK24(sK3) = iPr_def_18 )
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_121393,c_117091]) ).
tcf(c_122652,plain,
( ( sK24(sK3) = iPr_def_18 )
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122650,c_116663,c_8268]) ).
tcf(c_126325,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK24(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_116085,c_152]) ).
tcf(c_126326,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_116085,c_61]) ).
tcf(c_126328,plain,
! [X0: $i] :
( m1_subset_1(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_116085,c_292]) ).
tcf(c_126329,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,X0,k4_tex_4(sK3,sK24(sK3))) = k1_struct_0(sK3,sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116085,c_8259]) ).
tcf(c_126330,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,X0,k4_tex_4(sK2,sK24(sK3))) = k1_struct_0(sK2,sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116085,c_8246]) ).
tcf(c_126331,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,sK24(sK3)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ m1_subset_1(sK24(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_116085,c_8258]) ).
tcf(c_126332,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,sK24(sK3)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ m1_subset_1(sK24(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_116085,c_8245]) ).
tcf(c_126333,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ~ m1_subset_1(sK24(sK3),iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK24(sK3))) ),
inference(superposition,[status(thm)],[c_116085,c_114471]) ).
tcf(c_126334,plain,
( v1_tsp_1(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK5(sK2,sK24(sK3))) ),
inference(superposition,[status(thm)],[c_116085,c_114472]) ).
tcf(c_126335,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),sK24(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_116085,c_115529]) ).
tcf(c_126336,plain,
( v1_xboole_0(sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK24(sK3))) ),
inference(superposition,[status(thm)],[c_116085,c_119169]) ).
tcf(c_126349,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK24(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_126333,c_113866]) ).
tcf(c_128309,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ( k1_struct_0(sK3,sK5(sK3,sK24(sK3))) = k1_tarski(sK5(sK3,sK24(sK3))) ) ),
inference(superposition,[status(thm)],[c_113866,c_115769]) ).
tcf(c_128863,plain,
! [X0: $i] :
( r1_tarski(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_126328,c_301]) ).
tcf(c_128864,plain,
! [X0: $i,X1: $i] :
( ( sK24(sK3) = X0 )
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ r1_tarski(X0,sK24(sK3))
| ~ v1_tsp_1(sK24(sK3),X1)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_126328,c_158]) ).
tcf(c_128865,plain,
! [X0: $i] :
( v1_tsp_2(sK24(sK3),X0)
| r1_tarski(sK24(sK3),sK7(X0,sK24(sK3)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126328,c_155]) ).
tcf(c_128866,plain,
! [X0: $i] :
( v1_tsp_2(sK24(sK3),X0)
| v1_tsp_1(sK7(X0,sK24(sK3)),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126328,c_154]) ).
tcf(c_128867,plain,
! [X0: $i] :
( v1_tsp_1(sK24(sK3),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_126328,c_157]) ).
tcf(c_128868,plain,
( ( k1_struct_0(sK20,sK24(sK3)) = k1_tarski(sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK20)) ),
inference(superposition,[status(thm)],[c_126328,c_6743]) ).
tcf(c_128869,plain,
( r1_tarski(sK24(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126328,c_114679]) ).
tcf(c_128870,plain,
( v1_tsp_1(sK24(sK3),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK24(sK3))) = k1_tarski(sK5(sK2,sK24(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126328,c_115716]) ).
tcf(c_128871,plain,
( v1_tsp_1(sK24(sK3),sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_2(sK24(sK3),sK2) ),
inference(superposition,[status(thm)],[c_126328,c_116313]) ).
tcf(c_128872,plain,
( v1_tsp_1(sK24(sK3),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK24(sK3))))) = k2_tex_4(sK2,sK5(sK2,sK24(sK3))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK24(sK3))),k4_tex_4(sK2,sK5(sK2,sK24(sK3)))) = k1_struct_0(sK2,sK5(sK2,sK24(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126328,c_114117]) ).
tcf(c_128873,plain,
( ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK24(sK3)) = k1_funct_1(sK4,sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126328,c_116408]) ).
tcf(c_128874,plain,
( ( k4_tex_4(sK2,sK24(sK3)) = k2_tex_4(sK2,sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126328,c_116002]) ).
tcf(c_128875,plain,
( ( k1_struct_0(sK2,sK24(sK3)) = k1_tarski(sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126328,c_115708]) ).
tcf(c_128876,plain,
( ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK24(sK3)))) = k2_tex_4(sK2,sK24(sK3)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK24(sK3)),k4_tex_4(sK2,sK24(sK3))) = k1_struct_0(sK2,sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_126328,c_114071]) ).
tcf(c_128879,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ~ r1_tarski(iPr_def_19,iPr_def_19)
| ~ v1_tsp_2(sK24(sK3),sK3) ),
inference(superposition,[status(thm)],[c_126328,c_116308]) ).
tcf(c_128880,plain,
( ( k4_tex_4(sK3,sK24(sK3)) = k2_tex_4(sK3,sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126328,c_116034]) ).
tcf(c_128881,plain,
( ( k1_struct_0(sK3,sK24(sK3)) = k1_tarski(sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_126328,c_115761]) ).
tcf(c_128882,plain,
( r1_tarski(sK24(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_126328,c_114680]) ).
tcf(c_130714,plain,
! [X0: $i] :
( r1_tarski(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK24(sK3),X0)) ),
inference(superposition,[status(thm)],[c_116085,c_114497]) ).
tcf(c_131863,plain,
( ( sK24(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_128869,c_117091]) ).
tcf(c_131864,plain,
( r2_hidden(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128869,c_125045]) ).
tcf(c_131865,plain,
( m1_subset_1(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_128869,c_114654]) ).
tcf(c_131870,plain,
( ( sK24(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131863,c_120337]) ).
tcf(c_131880,plain,
( ( sK24(sK3) = iPr_def_28 )
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ v1_tsp_2(sK24(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_128882,c_117091]) ).
tcf(c_131881,plain,
( r2_hidden(sK24(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128882,c_125046]) ).
tcf(c_131882,plain,
( m1_subset_1(sK24(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_128882,c_114655]) ).
tcf(c_132074,plain,
( v1_tsp_1(sK24(sK3),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK24(sK3))) = k2_tex_4(sK2,sK5(sK2,sK24(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126328,c_116010]) ).
tcf(c_133283,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_128869,c_133078]) ).
tcf(c_133367,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_128882,c_133079]) ).
tcf(c_133863,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_116085,c_125883]) ).
tcf(c_134139,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK3,X0)) ),
inference(superposition,[status(thm)],[c_115274,c_126326]) ).
tcf(c_134140,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK5(sK2,X0)) ),
inference(superposition,[status(thm)],[c_115275,c_126326]) ).
tcf(c_134144,plain,
~ r1_tarski(iPr_def_19,sK24(sK3)),
inference(superposition,[status(thm)],[c_116085,c_126326]) ).
tcf(c_134145,plain,
( ~ r1_tarski(iPr_def_29,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116220,c_126326]) ).
tcf(c_134146,plain,
( ~ r1_tarski(iPr_def_29,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_116789,c_126326]) ).
tcf(c_134147,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_117727,c_126326]) ).
tcf(c_134148,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_117747,c_126326]) ).
tcf(c_134149,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_117775,c_126326]) ).
tcf(c_134153,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_118070,c_126326]) ).
tcf(c_134154,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_118120,c_126326]) ).
tcf(c_134157,plain,
( ~ r1_tarski(iPr_def_29,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_118672,c_126326]) ).
tcf(c_134158,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123915,c_126326]) ).
tcf(c_134160,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_125662,c_126326]) ).
tcf(c_134161,plain,
( ~ r1_tarski(iPr_def_29,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_125687,c_126326]) ).
tcf(c_135498,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127743,c_126326]) ).
tcf(c_135764,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_20,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_132457,c_126326]) ).
tcf(c_135893,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ( k4_tex_4(sK3,sK5(sK3,sK24(sK3))) = k2_tex_4(sK3,sK5(sK3,sK24(sK3))) ) ),
inference(superposition,[status(thm)],[c_113866,c_116042]) ).
tcf(c_136168,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_120241,c_114914]) ).
tcf(c_136169,plain,
( r2_hidden(sK24(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_114914]) ).
tcf(c_136170,plain,
( r2_hidden(sK24(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8224,c_114914]) ).
tcf(c_136171,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK24(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114914,c_152]) ).
tcf(c_136172,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK24(X0)) ),
inference(superposition,[status(thm)],[c_114914,c_61]) ).
tcf(c_136173,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_114914,c_305]) ).
tcf(c_136175,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_18,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK3,sK24(X0))) = k1_struct_0(sK3,sK24(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK3)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114914,c_8259]) ).
tcf(c_136176,plain,
! [X0: $i] :
( ( k5_subset_1(iPr_def_20,k1_zfmisc_1(u1_struct_0(X0)),k4_tex_4(sK2,sK24(X0))) = k1_struct_0(sK2,sK24(X0)) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_1(k1_zfmisc_1(u1_struct_0(X0)),sK2)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114914,c_8246]) ).
tcf(c_136177,plain,
( r2_hidden(sK24(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_136170,c_8225]) ).
tcf(c_136178,plain,
( r2_hidden(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_136169,c_8227,c_120241]) ).
tcf(c_137626,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131043,c_126326]) ).
tcf(c_142579,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_119168,c_126326]) ).
tcf(c_143625,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK24(sK2)) ),
inference(superposition,[status(thm)],[c_8226,c_136172]) ).
tcf(c_143626,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK24(sK3)) ),
inference(superposition,[status(thm)],[c_8224,c_136172]) ).
tcf(c_143627,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_120241,c_136172]) ).
tcf(c_143628,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_143627,c_8226,c_8227]) ).
tcf(c_143629,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK24(sK3)) ),
inference(light_normalisation,[status(thm)],[c_143626,c_8225]) ).
tcf(c_144134,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k4_tex_4(sK2,iPr_def_30),sK24(sK3)) ),
inference(superposition,[status(thm)],[c_122520,c_126335]) ).
tcf(c_144197,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK24(sK3)) ),
inference(light_normalisation,[status(thm)],[c_144134,c_122521]) ).
tcf(c_144198,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),sK24(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144197,c_122454]) ).
tcf(c_144974,plain,
( ~ r1_tarski(iPr_def_18,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_144510,c_126326]) ).
tcf(c_146690,plain,
( v1_tsp_1(sK24(sK3),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK24(sK3))) = k1_funct_1(sK4,sK5(sK2,sK24(sK3))) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_126328,c_116416]) ).
tcf(c_149302,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k4_tex_4(sK2,sK12(iPr_def_20)),sK24(sK3)) ),
inference(superposition,[status(thm)],[c_116415,c_126335]) ).
tcf(c_149369,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK24(sK3)) ),
inference(light_normalisation,[status(thm)],[c_149302,c_116009]) ).
tcf(c_149370,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),sK24(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149369,c_173]) ).
tcf(c_149746,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141738,c_126326]) ).
tcf(c_151187,plain,
( ~ r1_tarski(iPr_def_18,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150296,c_126326]) ).
tcf(c_151684,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK24(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_114914,c_1178]) ).
tcf(c_151732,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK24(sK3),X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_116085,c_1178]) ).
tcf(c_154360,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK2))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_120241,c_114669]) ).
tcf(c_154361,plain,
( r1_tarski(sK24(sK2),iPr_def_20)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8226,c_114669]) ).
tcf(c_154363,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK24(X0),X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_152783]) ).
tcf(c_154365,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK24(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK24(X0),sK2)
| ~ v1_tsp_1(u1_struct_0(X0),sK2)
| ~ m1_subset_1(sK24(X0),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114669,c_117091]) ).
tcf(c_154366,plain,
( r1_tarski(k1_xboole_0,iPr_def_20)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_154361,c_120241]) ).
tcf(c_154493,plain,
( ( u1_struct_0(sK2) = sK24(sK2) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK2),sK2)
| ~ m1_subset_1(sK24(sK2),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120241,c_154365]) ).
tcf(c_154494,plain,
( ( k1_xboole_0 = iPr_def_20 )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ m1_subset_1(iPr_def_20,iPr_def_21)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_154493,c_8226,c_120241]) ).
tcf(c_155175,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_115690]) ).
tcf(c_155269,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_128882,c_115690]) ).
tcf(c_156264,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_156136,c_126326]) ).
tcf(c_159646,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k4_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK24(sK3)) ),
inference(superposition,[status(thm)],[c_145180,c_126335]) ).
tcf(c_159712,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK24(sK3)) ),
inference(light_normalisation,[status(thm)],[c_159646,c_145177]) ).
tcf(c_159713,plain,
( ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),sK24(sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159712,c_157069]) ).
tcf(c_160849,plain,
( m1_subset_1(k1_xboole_0,iPr_def_19)
| ( k5_subset_1(iPr_def_20,k1_xboole_0,k4_tex_4(sK2,sK6(k1_xboole_0,iPr_def_18))) = k1_struct_0(sK2,sK6(k1_xboole_0,iPr_def_18)) ) ),
inference(light_normalisation,[status(thm)],[c_119989,c_120241]) ).
tcf(c_162037,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(iPr_def_32,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_153355]) ).
tcf(c_162536,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_32,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_153403]) ).
tcf(c_162633,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_32,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_128882,c_153403]) ).
tcf(c_163677,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_158222,c_126326]) ).
tcf(c_164480,plain,
( ~ r1_tarski(iPr_def_18,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_160055,c_126326]) ).
tcf(c_165421,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_115273,c_126326]) ).
tcf(c_167785,plain,
! [X0: $i] :
( r2_hidden(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_128869,c_166688]) ).
tcf(c_168261,plain,
! [X0: $i] :
( r2_hidden(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_128882,c_166689]) ).
tcf(c_168767,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_125882]) ).
tcf(c_168819,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_121393,c_125882]) ).
tcf(c_168863,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_128869,c_125882]) ).
tcf(c_168864,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r1_tarski(iPr_def_21,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_128882,c_125882]) ).
tcf(c_170978,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21)
| ~ r1_tarski(iPr_def_20,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_170379,c_126326]) ).
tcf(c_171947,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK24(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4680,c_143353]) ).
tcf(c_171948,plain,
! [X0: $i,X1: $i] :
( ( sK24(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4680,c_306]) ).
tcf(c_171949,plain,
! [X0: $i] :
( ( sK24(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4680,c_304]) ).
tcf(c_172571,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170130,c_126326]) ).
tcf(c_172923,plain,
( ( sK24(sK3) = iPr_def_20 )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(sK24(sK3),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_131870,c_111744]) ).
tcf(c_172970,plain,
! [X0: $i] :
( ( sK24(sK10(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(sK10(X0)) ),
inference(superposition,[status(thm)],[c_4170,c_171949]) ).
tcf(c_172971,plain,
( ( sK24(sK3) = k1_xboole_0 )
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8267,c_171949]) ).
tcf(c_172972,plain,
! [X0: $i] :
( ( sK24(sK14(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(sK14(X0)) ),
inference(superposition,[status(thm)],[c_4209,c_171949]) ).
tcf(c_172973,plain,
sK24(sK3) = k1_xboole_0,
inference(forward_subsumption_resolution,[status(thm)],[c_172971,c_8269]) ).
tcf(c_172982,plain,
( ( k1_xboole_0 = iPr_def_20 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(demodulation,[status(thm)],[c_172923,c_172973]) ).
tcf(c_172986,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_xboole_0)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(demodulation,[status(thm)],[c_126335,c_172973]) ).
tcf(c_172988,plain,
~ r1_tarski(iPr_def_19,k1_xboole_0),
inference(demodulation,[status(thm)],[c_134144,c_172973]) ).
tcf(c_172989,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(demodulation,[status(thm)],[c_126326,c_172973]) ).
tcf(c_172990,plain,
( ( k1_xboole_0 = iPr_def_28 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21) ),
inference(demodulation,[status(thm)],[c_131880,c_172973]) ).
tcf(c_172991,plain,
( r1_tarski(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(demodulation,[status(thm)],[c_128882,c_172973]) ).
tcf(c_172992,plain,
( r1_tarski(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(demodulation,[status(thm)],[c_128869,c_172973]) ).
tcf(c_173001,plain,
( ( k1_xboole_0 = iPr_def_28 )
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ v1_tsp_1(iPr_def_28,sK2)
| ~ m1_subset_1(iPr_def_28,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_172990,c_114344]) ).
tcf(c_173028,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_125946]) ).
tcf(c_174041,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_126325,c_172973]) ).
tcf(c_174053,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_114668,c_174041]) ).
tcf(c_174054,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK17(X0)) ),
inference(superposition,[status(thm)],[c_115354,c_174041]) ).
tcf(c_174055,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK19(X0)) ),
inference(superposition,[status(thm)],[c_115380,c_174041]) ).
tcf(c_174056,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK22(X0)) ),
inference(superposition,[status(thm)],[c_114795,c_174041]) ).
tcf(c_174057,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_174041]) ).
tcf(c_174058,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK25(X0)) ),
inference(superposition,[status(thm)],[c_115425,c_174041]) ).
tcf(c_174059,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK11(X0,X1)) ),
inference(superposition,[status(thm)],[c_114670,c_174041]) ).
tcf(c_174060,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(iPr_def_19,sK13(X0,X1)) ),
inference(superposition,[status(thm)],[c_114671,c_174041]) ).
tcf(c_174061,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(X0))) ),
inference(superposition,[status(thm)],[c_114769,c_174041]) ).
tcf(c_174062,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(X0))) ),
inference(superposition,[status(thm)],[c_115071,c_174041]) ).
tcf(c_174063,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,u1_struct_0(sK20))
| ~ m1_subset_1(X0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK20,X0)) ),
inference(superposition,[status(thm)],[c_115755,c_174041]) ).
tcf(c_174064,plain,
( r2_hidden(k1_xboole_0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_114672,c_174041]) ).
tcf(c_174065,plain,
( r2_hidden(k1_xboole_0,u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK26(sK20)) ),
inference(superposition,[status(thm)],[c_114673,c_174041]) ).
tcf(c_174066,plain,
( r2_hidden(k1_xboole_0,u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ r1_tarski(iPr_def_19,sK21(sK20)) ),
inference(superposition,[status(thm)],[c_114674,c_174041]) ).
tcf(c_174067,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),X1)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_114621,c_174041]) ).
tcf(c_174068,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),X1)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114629,c_174041]) ).
tcf(c_174069,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_114667,c_174041]) ).
tcf(c_174071,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_147592,c_174041]) ).
tcf(c_174072,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_138881,c_174041]) ).
tcf(c_174073,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_132626,c_174041]) ).
tcf(c_174074,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_120927,c_174041]) ).
tcf(c_174075,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_115010,c_174041]) ).
tcf(c_174076,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_147642,c_174041]) ).
tcf(c_174077,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_139038,c_174041]) ).
tcf(c_174078,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_132652,c_174041]) ).
tcf(c_174079,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_120961,c_174041]) ).
tcf(c_174080,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),X0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_115177,c_174041]) ).
tcf(c_174081,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(X1))
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_115617,c_174041]) ).
tcf(c_174082,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121717,c_174041]) ).
tcf(c_174083,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_147481,c_174041]) ).
tcf(c_174084,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_132263,c_174041]) ).
tcf(c_174085,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_120813,c_174041]) ).
tcf(c_174086,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),X0))) = k1_struct_0(sK2,sK6(sK17(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_115941,c_174041]) ).
tcf(c_174087,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_147507,c_174041]) ).
tcf(c_174088,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_132547,c_174041]) ).
tcf(c_174089,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_120853,c_174041]) ).
tcf(c_174090,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),X0))) = k1_struct_0(sK2,sK6(sK19(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_116130,c_174041]) ).
tcf(c_174091,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_147546,c_174041]) ).
tcf(c_174092,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_132573,c_174041]) ).
tcf(c_174093,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_120879,c_174041]) ).
tcf(c_174094,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),X0))) = k1_struct_0(sK2,sK6(sK25(sK2),X0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_116149,c_174041]) ).
tcf(c_174095,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_174041]) ).
tcf(c_174096,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK3)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_174041]) ).
tcf(c_174097,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,X0))) = k1_struct_0(sK2,sK6(iPr_def_22,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_114612,c_174041]) ).
tcf(c_174098,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,X0))) = k1_struct_0(sK2,sK6(iPr_def_23,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_114607,c_174041]) ).
tcf(c_174099,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_xboole_0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_118158,c_174041]) ).
tcf(c_174100,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,X0))) = k1_struct_0(sK2,sK6(iPr_def_24,X0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_114602,c_174041]) ).
tcf(c_174102,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_114713,c_174041]) ).
tcf(c_174103,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_114714,c_174041]) ).
tcf(c_174104,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121345,c_174041]) ).
tcf(c_174105,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_121359,c_174041]) ).
tcf(c_174106,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_121388,c_174041]) ).
tcf(c_174107,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_121390,c_174041]) ).
tcf(c_174108,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_121391,c_174041]) ).
tcf(c_174109,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121392,c_174041]) ).
tcf(c_174113,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_19)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121402,c_174041]) ).
tcf(c_174117,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k4_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121406,c_174041]) ).
tcf(c_174118,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK3,X0)) ),
inference(superposition,[status(thm)],[c_121407,c_174041]) ).
tcf(c_174119,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_121408,c_174041]) ).
tcf(c_174120,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_150895,c_174041]) ).
tcf(c_174121,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_121712,c_174041]) ).
tcf(c_174122,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_121713,c_174041]) ).
tcf(c_174123,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_121714,c_174041]) ).
tcf(c_174124,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_121715,c_174041]) ).
tcf(c_174125,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121716,c_174041]) ).
tcf(c_174126,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_121718,c_174041]) ).
tcf(c_174127,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_121719,c_174041]) ).
tcf(c_174128,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_struct_0(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121723,c_174041]) ).
tcf(c_174129,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_121725,c_174041]) ).
tcf(c_174130,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_121726,c_174041]) ).
tcf(c_174131,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_21)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121727,c_174041]) ).
tcf(c_174132,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_121728,c_174041]) ).
tcf(c_174133,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_121729,c_174041]) ).
tcf(c_174134,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_121730,c_174041]) ).
tcf(c_174135,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(X0,sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_121731,c_174041]) ).
tcf(c_174136,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_121831,c_174041]) ).
tcf(c_174137,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_121834,c_174041]) ).
tcf(c_174138,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),iPr_def_29)
| ~ r1_tarski(iPr_def_19,k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0)) ),
inference(superposition,[status(thm)],[c_121839,c_174041]) ).
tcf(c_174139,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_122556,c_174041]) ).
tcf(c_174140,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_123950,c_174041]) ).
tcf(c_174141,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X0)
| r1_tarski(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(iPr_def_19,sK6(k1_zfmisc_1(X0),X1)) ),
inference(superposition,[status(thm)],[c_124673,c_174041]) ).
tcf(c_174142,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_124679,c_174041]) ).
tcf(c_174143,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_18)
| r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_124687,c_174041]) ).
tcf(c_174144,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_28)
| r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(iPr_def_19,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_124691,c_174041]) ).
tcf(c_174146,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_140193,c_174041]) ).
tcf(c_174147,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_127734,c_174041]) ).
tcf(c_174148,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128571,c_174041]) ).
tcf(c_174149,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_128575,c_174041]) ).
tcf(c_174153,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129028,c_174041]) ).
tcf(c_174154,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_129032,c_174041]) ).
tcf(c_174155,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129208,c_174041]) ).
tcf(c_174156,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_129212,c_174041]) ).
tcf(c_174157,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129339,c_174041]) ).
tcf(c_174158,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_129343,c_174041]) ).
tcf(c_174165,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129916,c_174041]) ).
tcf(c_174166,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_129925,c_174041]) ).
tcf(c_174167,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130064,c_174041]) ).
tcf(c_174168,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_130068,c_174041]) ).
tcf(c_174171,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130319,c_174041]) ).
tcf(c_174172,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_130323,c_174041]) ).
tcf(c_174173,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130439,c_174041]) ).
tcf(c_174174,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_130448,c_174041]) ).
tcf(c_174175,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_131018,c_174041]) ).
tcf(c_174177,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138461,c_174041]) ).
tcf(c_174178,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138639,c_174041]) ).
tcf(c_174182,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_140640,c_174041]) ).
tcf(c_174184,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_141415,c_174041]) ).
tcf(c_174186,plain,
( r2_hidden(k1_xboole_0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(u1_struct_0(sK20)))) ),
inference(superposition,[status(thm)],[c_147715,c_174041]) ).
tcf(c_174188,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(X0))
| ~ r1_tarski(iPr_def_19,k1_funct_1(sK4,sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_151380,c_174041]) ).
tcf(c_174189,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_150755,c_174041]) ).
tcf(c_174192,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))) ),
inference(superposition,[status(thm)],[c_157453,c_174041]) ).
tcf(c_174193,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_153694,c_174041]) ).
tcf(c_174194,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_161408,c_174041]) ).
tcf(c_174195,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_164394,c_174041]) ).
tcf(c_174196,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_170151,c_174041]) ).
tcf(c_174197,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_172491,c_174041]) ).
tcf(c_175197,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_126684]) ).
tcf(c_176019,plain,
( ( u1_struct_0(sK3) = sK24(sK3) )
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(u1_struct_0(sK3),sK2)
| ~ m1_subset_1(sK24(sK3),iPr_def_21)
| ~ m1_subset_1(u1_struct_0(sK3),iPr_def_21) ),
inference(superposition,[status(thm)],[c_172973,c_154365]) ).
tcf(c_176020,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK3))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_172973,c_114669]) ).
tcf(c_176021,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK3)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_172973,c_136172]) ).
tcf(c_176022,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_172973,c_114914]) ).
tcf(c_176023,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_172973,c_4703]) ).
tcf(c_176024,plain,
( r1_tarski(k1_xboole_0,iPr_def_18)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_176020,c_8224]) ).
tcf(c_176025,plain,
( m1_subset_1(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_176023,c_8224,c_8225]) ).
tcf(c_176026,plain,
( r2_hidden(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_176022,c_8224,c_8225]) ).
tcf(c_176027,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_176021,c_8224,c_8225]) ).
tcf(c_176028,plain,
( ( k1_xboole_0 = iPr_def_18 )
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_1(iPr_def_18,sK2)
| ~ m1_subset_1(iPr_def_18,iPr_def_21)
| ~ m1_subset_1(k1_xboole_0,iPr_def_21) ),
inference(light_normalisation,[status(thm)],[c_176019,c_8224,c_172973]) ).
tcf(c_176050,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_174095,c_1179]) ).
tcf(c_176051,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_xboole_0,X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_174095,c_1178]) ).
tcf(c_176052,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_xboole_0,X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_174095,c_152]) ).
tcf(c_176053,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,X0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_174095,c_61]) ).
tcf(c_176054,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_174095,c_305]) ).
tcf(c_176055,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_174095,c_292]) ).
tcf(c_176056,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,X0),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_174095,c_8259]) ).
tcf(c_176057,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_174095,c_8246]) ).
tcf(c_176597,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_126761]) ).
tcf(c_177567,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_126824]) ).
tcf(c_178393,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_126912]) ).
tcf(c_179704,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_127039]) ).
tcf(c_181064,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_127266]) ).
tcf(c_181968,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_127374]) ).
tcf(c_183088,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_127834]) ).
tcf(c_183878,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_19,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_127904]) ).
tcf(c_196384,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_21,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_128063]) ).
tcf(c_197309,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ r1_tarski(iPr_def_29,sK24(X0)) ),
inference(superposition,[status(thm)],[c_114669,c_128179]) ).
tcf(c_198425,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(sK24(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4680,c_143352]) ).
tcf(c_198653,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_172989,c_219,c_12237]) ).
tcf(c_198659,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_115273,c_198653]) ).
tcf(c_198660,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ r1_tarski(X0,k1_xboole_0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_115274,c_198653]) ).
tcf(c_198661,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ r1_tarski(X0,k1_xboole_0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_115275,c_198653]) ).
tcf(c_198662,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_20,k1_xboole_0)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_132457,c_198653]) ).
tcf(c_198663,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_115276,c_198653]) ).
tcf(c_198664,plain,
( v1_tsp_2(iPr_def_21,sK2)
| ~ r1_tarski(iPr_def_20,k1_xboole_0)
| ~ v1_tsp_1(iPr_def_21,sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_21) ),
inference(superposition,[status(thm)],[c_170379,c_198653]) ).
tcf(c_198680,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_119168,c_198653]) ).
tcf(c_198684,plain,
~ r1_tarski(iPr_def_29,k1_xboole_0),
inference(superposition,[status(thm)],[c_125687,c_198653]) ).
tcf(c_198696,plain,
~ r1_tarski(iPr_def_18,k1_xboole_0),
inference(superposition,[status(thm)],[c_160055,c_198653]) ).
tcf(c_198726,plain,
( ~ m1_subset_1(iPr_def_30,iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_122521,c_198663]) ).
tcf(c_198727,plain,
( ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_116009,c_198663]) ).
tcf(c_198728,plain,
( ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_145177,c_198663]) ).
tcf(c_198729,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20)
| ~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_151418,c_198663]) ).
tcf(c_198730,plain,
~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_198726,c_122454]) ).
tcf(c_198731,plain,
~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_198727,c_173]) ).
tcf(c_198732,plain,
~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_198728,c_157069]) ).
tcf(c_198926,plain,
~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_xboole_0),
inference(superposition,[status(thm)],[c_148075,c_198653]) ).
tcf(c_199789,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK3,X0))
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),k1_xboole_0)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_198680]) ).
tcf(c_199790,plain,
! [X0: $i] :
( v1_xboole_0(k2_tex_4(sK2,X0))
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),k1_xboole_0)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_198680]) ).
tcf(c_199791,plain,
v1_xboole_0(sK12(k1_zfmisc_1(k1_xboole_0))),
inference(superposition,[status(thm)],[c_114667,c_198680]) ).
tcf(c_199793,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147592,c_198680]) ).
tcf(c_199795,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132626,c_198680]) ).
tcf(c_199796,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120927,c_198680]) ).
tcf(c_199797,plain,
( v1_xboole_0(u1_struct_0(sK10(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_198680]) ).
tcf(c_199798,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147642,c_198680]) ).
tcf(c_199800,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132652,c_198680]) ).
tcf(c_199801,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120961,c_198680]) ).
tcf(c_199802,plain,
( v1_xboole_0(u1_struct_0(sK14(sK2)))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_198680]) ).
tcf(c_199803,plain,
! [X0: $i] :
( v1_xboole_0(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0))
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_115617,c_198680]) ).
tcf(c_199804,plain,
( v1_xboole_0(sK17(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147481,c_198680]) ).
tcf(c_199805,plain,
( v1_xboole_0(sK17(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132263,c_198680]) ).
tcf(c_199806,plain,
( v1_xboole_0(sK17(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120813,c_198680]) ).
tcf(c_199807,plain,
( v1_xboole_0(sK17(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_198680]) ).
tcf(c_199808,plain,
( v1_xboole_0(sK19(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147507,c_198680]) ).
tcf(c_199809,plain,
( v1_xboole_0(sK19(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132547,c_198680]) ).
tcf(c_199810,plain,
( v1_xboole_0(sK19(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120853,c_198680]) ).
tcf(c_199811,plain,
( v1_xboole_0(sK19(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_198680]) ).
tcf(c_199812,plain,
( v1_xboole_0(sK25(sK2))
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147546,c_198680]) ).
tcf(c_199813,plain,
( v1_xboole_0(sK25(sK2))
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132573,c_198680]) ).
tcf(c_199814,plain,
( v1_xboole_0(sK25(sK2))
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120879,c_198680]) ).
tcf(c_199815,plain,
( v1_xboole_0(sK25(sK2))
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_198680]) ).
tcf(c_199816,plain,
( v1_xboole_0(iPr_def_22)
| ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k1_xboole_0))) = k1_struct_0(sK2,sK6(iPr_def_22,k1_xboole_0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(superposition,[status(thm)],[c_114612,c_198680]) ).
tcf(c_199817,plain,
( v1_xboole_0(iPr_def_23)
| ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k1_xboole_0))) = k1_struct_0(sK2,sK6(iPr_def_23,k1_xboole_0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(superposition,[status(thm)],[c_114607,c_198680]) ).
tcf(c_199818,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),k1_xboole_0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_198680]) ).
tcf(c_199819,plain,
( v1_xboole_0(iPr_def_24)
| ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k1_xboole_0))) = k1_struct_0(sK2,sK6(iPr_def_24,k1_xboole_0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(superposition,[status(thm)],[c_114602,c_198680]) ).
tcf(c_199821,plain,
! [X0: $i] :
( r1_tarski(k1_zfmisc_1(k1_xboole_0),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(k1_xboole_0),X0)) ),
inference(superposition,[status(thm)],[c_124673,c_198680]) ).
tcf(c_199824,plain,
( v1_xboole_0(sK13(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_138461,c_198680]) ).
tcf(c_199825,plain,
( v1_xboole_0(sK11(iPr_def_20,iPr_def_18))
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_138639,c_198680]) ).
tcf(c_199829,plain,
( v1_xboole_0(k1_tarski(sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_140640,c_198680]) ).
tcf(c_199830,plain,
( v1_xboole_0(k1_tarski(sK12(iPr_def_18)))
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_140811,c_198680]) ).
tcf(c_199831,plain,
( v1_xboole_0(k1_funct_1(sK4,iPr_def_30))
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_145140,c_198680]) ).
tcf(c_199832,plain,
( v1_xboole_0(k1_funct_1(sK4,sK12(iPr_def_20)))
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_151380,c_198680]) ).
tcf(c_199837,plain,
~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_xboole_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199830,c_191]) ).
tcf(c_199838,plain,
~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_xboole_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_199829,c_191]) ).
tcf(c_199906,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_24,k4_tex_4(sK2,sK6(iPr_def_24,k1_xboole_0))) = k1_struct_0(sK2,sK6(iPr_def_24,k1_xboole_0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199819,c_8254]) ).
tcf(c_199910,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_23,k4_tex_4(sK2,sK6(iPr_def_23,k1_xboole_0))) = k1_struct_0(sK2,sK6(iPr_def_23,k1_xboole_0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199817,c_8252]) ).
tcf(c_199914,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_22,k4_tex_4(sK2,sK6(iPr_def_22,k1_xboole_0))) = k1_struct_0(sK2,sK6(iPr_def_22,k1_xboole_0)) )
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_199816,c_8250]) ).
tcf(c_200422,plain,
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_30),k1_xboole_0)) = k2_tex_4(sK2,iPr_def_30) )
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_198730]) ).
tcf(c_200424,plain,
k2_tex_4(sK2,sK6(k2_tex_4(sK2,iPr_def_30),k1_xboole_0)) = k2_tex_4(sK2,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_200422,c_122454]) ).
tcf(c_200669,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK3,X0),X1)
| ( k2_tex_4(sK3,sK6(k2_tex_4(sK3,X0),k1_xboole_0)) = k2_tex_4(sK3,X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_114621,c_198659]) ).
tcf(c_200670,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k2_tex_4(sK2,X0),X1)
| ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,X0),k1_xboole_0)) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_198659]) ).
tcf(c_200671,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(k1_xboole_0)),X0),
inference(superposition,[status(thm)],[c_114667,c_198659]) ).
tcf(c_200673,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147592,c_198659]) ).
tcf(c_200675,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132626,c_198659]) ).
tcf(c_200676,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120927,c_198659]) ).
tcf(c_200677,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK10(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK10(sK2)),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115010,c_198659]) ).
tcf(c_200678,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147642,c_198659]) ).
tcf(c_200680,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132652,c_198659]) ).
tcf(c_200681,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120961,c_198659]) ).
tcf(c_200682,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(sK2)),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,u1_struct_0(sK14(sK2)),k4_tex_4(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0))) = k1_struct_0(sK2,sK6(u1_struct_0(sK14(sK2)),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) ) ),
inference(superposition,[status(thm)],[c_115177,c_198659]) ).
tcf(c_200683,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(k4_tex_4(sK2,X0),k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_115617,c_198659]) ).
tcf(c_200684,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147481,c_198659]) ).
tcf(c_200685,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132263,c_198659]) ).
tcf(c_200686,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120813,c_198659]) ).
tcf(c_200687,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,sK17(sK2),k4_tex_4(sK2,sK6(sK17(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK17(sK2),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) ) ),
inference(superposition,[status(thm)],[c_115941,c_198659]) ).
tcf(c_200688,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147507,c_198659]) ).
tcf(c_200689,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132547,c_198659]) ).
tcf(c_200690,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120853,c_198659]) ).
tcf(c_200691,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,sK19(sK2),k4_tex_4(sK2,sK6(sK19(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK19(sK2),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) ) ),
inference(superposition,[status(thm)],[c_116130,c_198659]) ).
tcf(c_200692,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_147546,c_198659]) ).
tcf(c_200693,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_132573,c_198659]) ).
tcf(c_200694,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) ) ),
inference(superposition,[status(thm)],[c_120879,c_198659]) ).
tcf(c_200695,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,sK25(sK2),k4_tex_4(sK2,sK6(sK25(sK2),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK25(sK2),k1_xboole_0)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) ) ),
inference(superposition,[status(thm)],[c_116149,c_198659]) ).
tcf(c_200698,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r1_tarski(sK7(sK2,X0),X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),k1_xboole_0))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),k1_xboole_0)) )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_198659]) ).
tcf(c_200701,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_zfmisc_1(k1_xboole_0),X0)
| r1_tarski(sK6(k1_zfmisc_1(k1_xboole_0),X0),X1) ),
inference(superposition,[status(thm)],[c_124673,c_198659]) ).
tcf(c_200704,plain,
! [X0: $i] :
( r1_tarski(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_138461,c_198659]) ).
tcf(c_200705,plain,
! [X0: $i] :
( r1_tarski(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_138639,c_198659]) ).
tcf(c_200711,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_145140,c_198659]) ).
tcf(c_200712,plain,
! [X0: $i] :
( r1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_18,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_151380,c_198659]) ).
tcf(c_200985,plain,
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,sK12(iPr_def_20)),k1_xboole_0)) = k2_tex_4(sK2,sK12(iPr_def_20)) )
| ~ m1_subset_1(sK12(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_198731]) ).
tcf(c_200987,plain,
k2_tex_4(sK2,sK6(k2_tex_4(sK2,sK12(iPr_def_20)),k1_xboole_0)) = k2_tex_4(sK2,sK12(iPr_def_20)),
inference(forward_subsumption_resolution,[status(thm)],[c_200985,c_173]) ).
tcf(c_202370,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_174125]) ).
tcf(c_203102,plain,
~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_198729,c_62929,c_91025]) ).
tcf(c_203105,plain,
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),k1_xboole_0)) = k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))) )
| ~ m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_203102]) ).
tcf(c_203130,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK12(sK7(sK2,X0)))) = k1_struct_0(sK2,sK12(sK7(sK2,X0))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_176054]) ).
tcf(c_203146,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_xboole_0(sK7(sK2,X0))
| r2_hidden(k1_xboole_0,sK7(sK2,X0))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_176055,c_299]) ).
tcf(c_204041,plain,
( v1_tsp_2(iPr_def_19,sK2)
| ~ r1_tarski(iPr_def_20,k1_xboole_0)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_203213,c_198653]) ).
tcf(c_213295,plain,
( v1_tsp_2(iPr_def_29,sK2)
| ~ r1_tarski(iPr_def_20,k1_xboole_0)
| ~ v1_tsp_1(iPr_def_29,sK2)
| ~ m1_subset_1(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_212654,c_198653]) ).
tcf(c_245819,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = sK24(X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_tsp_2(sK24(X0),sK3)
| ~ v1_tsp_1(u1_struct_0(X0),sK3)
| ~ m1_subset_1(sK24(X0),iPr_def_19)
| ~ m1_subset_1(u1_struct_0(X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_114669,c_117083]) ).
tcf(c_248060,plain,
! [X0: $i] :
( ( k2_tex_4(sK3,X0) = k2_tex_4(sK3,k1_xboole_0) )
| ~ m1_subset_1(k1_xboole_0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_126331,c_172973]) ).
tcf(c_248074,plain,
! [X0: $i] :
( ( k2_tex_4(sK2,X0) = k2_tex_4(sK2,k1_xboole_0) )
| ~ m1_subset_1(k1_xboole_0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_126332,c_172973]) ).
tcf(c_248088,plain,
( ( k2_tex_4(sK2,k1_xboole_0) = k2_tex_4(sK2,iPr_def_27) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k1_xboole_0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_116015,c_248074]) ).
tcf(c_248089,plain,
( ( k5_subset_1(iPr_def_20,iPr_def_32,iPr_def_32) = k1_tarski(iPr_def_27) )
| ( k2_tex_4(sK2,sK5(sK2,iPr_def_32)) = k2_tex_4(sK2,k1_xboole_0) )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(k1_xboole_0,iPr_def_20)
| ~ m1_subset_1(sK5(sK2,iPr_def_32),iPr_def_20) ),
inference(superposition,[status(thm)],[c_146968,c_248074]) ).
tcf(c_248090,plain,
( ( k2_tex_4(sK2,k1_xboole_0) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ m1_subset_1(k1_xboole_0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_248088,c_116015]) ).
tcf(c_248091,plain,
( ( k2_tex_4(sK2,k1_xboole_0) = iPr_def_32 )
| ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ m1_subset_1(k1_xboole_0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248090,c_8266]) ).
tcf(c_249401,plain,
~ r1_tarski(iPr_def_20,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_198662,c_219,c_11704,c_26214]) ).
tcf(c_249405,plain,
( ( k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_xboole_0)) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)) )
| ~ m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20) ),
inference(superposition,[status(thm)],[c_114629,c_198732]) ).
tcf(c_249406,plain,
k2_tex_4(sK2,sK6(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_xboole_0)) = k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_249405,c_157069]) ).
tcf(c_249631,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)))) ),
inference(superposition,[status(thm)],[c_203317,c_174041]) ).
tcf(c_249907,plain,
( v1_xboole_0(k1_xboole_0)
| ~ r1_tarski(iPr_def_19,sK12(k1_xboole_0)) ),
inference(light_normalisation,[status(thm)],[c_126336,c_172973]) ).
tcf(c_250737,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_133283,c_172973]) ).
tcf(c_250775,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_176050]) ).
tcf(c_250777,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116849,c_176050]) ).
tcf(c_250778,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19)
| ~ v1_xboole_0(sK7(sK3,sK7(sK2,X0))) ),
inference(superposition,[status(thm)],[c_116843,c_176050]) ).
tcf(c_250779,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_176050]) ).
tcf(c_250812,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,sK7(sK2,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_250777,c_13563,c_14239,c_250777]) ).
tcf(c_250827,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK2,sK12(sK7(sK2,sK7(sK2,X0))))) = k1_struct_0(sK2,sK12(sK7(sK2,sK7(sK2,X0)))) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167157,c_250812]) ).
tcf(c_250849,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_xboole_0,X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_176051]) ).
tcf(c_250851,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_176051]) ).
tcf(c_250852,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| m1_subset_1(k1_xboole_0,sK7(sK3,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_176051]) ).
tcf(c_250853,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_xboole_0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_176051]) ).
tcf(c_250854,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_176051]) ).
tcf(c_250908,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| m1_subset_1(k1_xboole_0,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_250851,c_13563,c_14239,c_250851]) ).
tcf(c_250923,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| v1_xboole_0(sK7(sK2,sK7(sK2,X0)))
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_250908,c_299]) ).
tcf(c_250943,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146669,c_250854]) ).
tcf(c_250944,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132053,c_250854]) ).
tcf(c_250945,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120613,c_250854]) ).
tcf(c_250946,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116624,c_250854]) ).
tcf(c_250947,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114062,c_250854]) ).
tcf(c_250948,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146665,c_250854]) ).
tcf(c_250949,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132049,c_250854]) ).
tcf(c_250950,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120609,c_250854]) ).
tcf(c_250951,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114137,c_250854]) ).
tcf(c_250952,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146666,c_250854]) ).
tcf(c_250953,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132050,c_250854]) ).
tcf(c_250954,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120610,c_250854]) ).
tcf(c_250955,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114138,c_250854]) ).
tcf(c_250956,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146667,c_250854]) ).
tcf(c_250957,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132051,c_250854]) ).
tcf(c_250958,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120611,c_250854]) ).
tcf(c_250959,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114139,c_250854]) ).
tcf(c_250962,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146679,c_250854]) ).
tcf(c_250963,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132063,c_250854]) ).
tcf(c_250964,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120622,c_250854]) ).
tcf(c_250965,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114962,c_250854]) ).
tcf(c_250966,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146680,c_250854]) ).
tcf(c_250967,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132064,c_250854]) ).
tcf(c_250968,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120623,c_250854]) ).
tcf(c_250969,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115162,c_250854]) ).
tcf(c_250970,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146682,c_250854]) ).
tcf(c_250971,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132066,c_250854]) ).
tcf(c_250972,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120625,c_250854]) ).
tcf(c_250973,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115499,c_250854]) ).
tcf(c_250974,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146683,c_250854]) ).
tcf(c_250975,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132067,c_250854]) ).
tcf(c_250976,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120626,c_250854]) ).
tcf(c_250977,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115506,c_250854]) ).
tcf(c_250978,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146684,c_250854]) ).
tcf(c_250979,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132068,c_250854]) ).
tcf(c_250980,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120627,c_250854]) ).
tcf(c_250981,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115516,c_250854]) ).
tcf(c_250982,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0))
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116492,c_250854]) ).
tcf(c_250983,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0)))
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166453,c_250854]) ).
tcf(c_250989,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250958,c_8253]) ).
tcf(c_250994,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250954,c_8251]) ).
tcf(c_250999,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250950,c_8249]) ).
tcf(c_251004,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250957,c_8253]) ).
tcf(c_251009,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250953,c_8251]) ).
tcf(c_251014,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250949,c_8249]) ).
tcf(c_251019,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250956,c_8253]) ).
tcf(c_251024,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250952,c_8251]) ).
tcf(c_251029,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250948,c_8249]) ).
tcf(c_251034,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250980,c_115432]) ).
tcf(c_251039,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250976,c_115387]) ).
tcf(c_251044,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250972,c_115361]) ).
tcf(c_251056,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250979,c_115432]) ).
tcf(c_251061,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250975,c_115387]) ).
tcf(c_251066,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250971,c_115361]) ).
tcf(c_251071,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250978,c_115432]) ).
tcf(c_251076,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250974,c_115387]) ).
tcf(c_251081,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250970,c_115361]) ).
tcf(c_251086,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250968,c_115077]) ).
tcf(c_251091,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250964,c_114775]) ).
tcf(c_251096,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250967,c_115077]) ).
tcf(c_251101,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250963,c_114775]) ).
tcf(c_251112,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250966,c_115077]) ).
tcf(c_251117,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250962,c_114775]) ).
tcf(c_251140,plain,
( v1_tsp_2(iPr_def_24,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250959,c_8253]) ).
tcf(c_251146,plain,
( v1_tsp_2(iPr_def_23,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250955,c_8251]) ).
tcf(c_251152,plain,
( v1_tsp_2(iPr_def_22,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250951,c_8249]) ).
tcf(c_251158,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250981,c_115432]) ).
tcf(c_251164,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250977,c_115387]) ).
tcf(c_251170,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250973,c_115361]) ).
tcf(c_251176,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250969,c_115077]) ).
tcf(c_251182,plain,
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250965,c_114775]) ).
tcf(c_251391,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_133367,c_172973]) ).
tcf(c_251513,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_250982,c_14239,c_250982]) ).
tcf(c_251529,plain,
( v1_tsp_2(iPr_def_19,sK2)
| m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK7(sK2,iPr_def_19),sK2)
| ~ v1_tsp_1(iPr_def_19,sK2)
| ~ m1_subset_1(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_251513]) ).
tcf(c_251708,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_250983,c_57460,c_250983]) ).
tcf(c_251736,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_xboole_0,X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(sK7(sK2,X0)) ),
inference(superposition,[status(thm)],[c_114498,c_176052]) ).
tcf(c_251738,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK2)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116849,c_176052]) ).
tcf(c_251739,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK3)
| r2_hidden(k1_xboole_0,sK7(sK3,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,X0),sK3)
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_116843,c_176052]) ).
tcf(c_251740,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_xboole_0,X1)
| ( k5_subset_1(iPr_def_20,sK7(sK2,X0),k4_tex_4(sK2,sK6(sK7(sK2,X0),X1))) = k1_struct_0(sK2,sK6(sK7(sK2,X0),X1)) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_118158,c_176052]) ).
tcf(c_251741,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(X0,sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_121731,c_176052]) ).
tcf(c_251778,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| r2_hidden(k1_xboole_0,sK7(sK2,sK7(sK2,X0)))
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_251738,c_250812,c_250923]) ).
tcf(c_251793,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_251778,c_1179]) ).
tcf(c_251794,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| m1_subset_1(k1_xboole_0,X1)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_251778,c_1178]) ).
tcf(c_251795,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,sK2)
| r2_hidden(k1_xboole_0,X1)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(sK7(sK2,sK7(sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_251778,c_152]) ).
tcf(c_251796,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r2_hidden(sK7(sK2,sK7(sK2,X0)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_251778,c_61]) ).
tcf(c_251799,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_18,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK3,k1_xboole_0)) = k1_struct_0(sK3,k1_xboole_0) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,X0)),sK3)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,X0)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_251778,c_8259]) ).
tcf(c_251800,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ( k5_subset_1(iPr_def_20,sK7(sK2,sK7(sK2,X0)),k4_tex_4(sK2,k1_xboole_0)) = k1_struct_0(sK2,k1_xboole_0) )
| ~ r1_tarski(iPr_def_19,X0)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(sK7(sK2,sK7(sK2,X0)),sK2)
| ~ m1_subset_1(sK7(sK2,sK7(sK2,X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_251778,c_8246]) ).
tcf(c_251853,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,k2_tex_4(sK2,X0))) = k1_funct_1(sK4,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146669,c_251741]) ).
tcf(c_251854,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132053,c_251741]) ).
tcf(c_251855,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k1_tarski(sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120613,c_251741]) ).
tcf(c_251856,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))))) = k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))),k4_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0)))) = k1_struct_0(sK2,sK5(sK2,k2_tex_4(sK2,X0))) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116624,c_251741]) ).
tcf(c_251857,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(k2_tex_4(sK2,X0),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,X0))) = k2_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k2_tex_4(sK2,X0))
| ~ m1_subset_1(k2_tex_4(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114062,c_251741]) ).
tcf(c_251858,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146665,c_251741]) ).
tcf(c_251859,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132049,c_251741]) ).
tcf(c_251860,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120609,c_251741]) ).
tcf(c_251861,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ m1_subset_1(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114137,c_251741]) ).
tcf(c_251862,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146666,c_251741]) ).
tcf(c_251863,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132050,c_251741]) ).
tcf(c_251864,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120610,c_251741]) ).
tcf(c_251865,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ m1_subset_1(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114138,c_251741]) ).
tcf(c_251866,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_146667,c_251741]) ).
tcf(c_251867,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_132051,c_251741]) ).
tcf(c_251868,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_120611,c_251741]) ).
tcf(c_251869,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ m1_subset_1(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_114139,c_251741]) ).
tcf(c_251872,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146679,c_251741]) ).
tcf(c_251873,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132063,c_251741]) ).
tcf(c_251874,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120622,c_251741]) ).
tcf(c_251875,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2)))
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_114962,c_251741]) ).
tcf(c_251876,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146680,c_251741]) ).
tcf(c_251877,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132064,c_251741]) ).
tcf(c_251878,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120623,c_251741]) ).
tcf(c_251879,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2)))
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115162,c_251741]) ).
tcf(c_251880,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146682,c_251741]) ).
tcf(c_251881,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132066,c_251741]) ).
tcf(c_251882,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120625,c_251741]) ).
tcf(c_251883,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ m1_subset_1(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115499,c_251741]) ).
tcf(c_251884,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146683,c_251741]) ).
tcf(c_251885,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132067,c_251741]) ).
tcf(c_251886,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120626,c_251741]) ).
tcf(c_251887,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ m1_subset_1(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115506,c_251741]) ).
tcf(c_251888,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_146684,c_251741]) ).
tcf(c_251889,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_132068,c_251741]) ).
tcf(c_251890,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_120627,c_251741]) ).
tcf(c_251891,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ m1_subset_1(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_115516,c_251741]) ).
tcf(c_251892,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(X0,sK2)
| v1_tsp_2(sK7(sK2,X0),sK2)
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK7(sK2,X0))
| ~ m1_subset_1(sK7(sK2,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_116492,c_251741]) ).
tcf(c_251893,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0)))
| ~ m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_166453,c_251741]) ).
tcf(c_251899,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_24)) = k1_tarski(sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251868,c_8253]) ).
tcf(c_251904,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_23)) = k1_tarski(sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251864,c_8251]) ).
tcf(c_251909,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k1_struct_0(sK2,sK5(sK2,iPr_def_22)) = k1_tarski(sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251860,c_8249]) ).
tcf(c_251914,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_24)) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251867,c_8253]) ).
tcf(c_251919,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_23)) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251863,c_8251]) ).
tcf(c_251924,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k4_tex_4(sK2,sK5(sK2,iPr_def_22)) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251859,c_8249]) ).
tcf(c_251929,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_24)) = k1_funct_1(sK4,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251866,c_8253]) ).
tcf(c_251934,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_23)) = k1_funct_1(sK4,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251862,c_8251]) ).
tcf(c_251939,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,iPr_def_22)) = k1_funct_1(sK4,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251858,c_8249]) ).
tcf(c_251944,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK25(sK2))) = k1_tarski(sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251890,c_115432]) ).
tcf(c_251949,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK19(sK2))) = k1_tarski(sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251886,c_115387]) ).
tcf(c_251954,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k1_struct_0(sK2,sK5(sK2,sK17(sK2))) = k1_tarski(sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251882,c_115361]) ).
tcf(c_251966,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK25(sK2))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251889,c_115432]) ).
tcf(c_251971,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK19(sK2))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251885,c_115387]) ).
tcf(c_251976,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k4_tex_4(sK2,sK5(sK2,sK17(sK2))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251881,c_115361]) ).
tcf(c_251981,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK25(sK2))) = k1_funct_1(sK4,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251888,c_115432]) ).
tcf(c_251986,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK19(sK2))) = k1_funct_1(sK4,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251884,c_115387]) ).
tcf(c_251991,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,sK17(sK2))) = k1_funct_1(sK4,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251880,c_115361]) ).
tcf(c_251996,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251878,c_115077]) ).
tcf(c_252001,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_tarski(sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251874,c_114775]) ).
tcf(c_252006,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251877,c_115077]) ).
tcf(c_252011,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251873,c_114775]) ).
tcf(c_252022,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251876,c_115077]) ).
tcf(c_252027,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k8_funct_2(iPr_def_20,iPr_def_18,sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) = k1_funct_1(sK4,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251872,c_114775]) ).
tcf(c_252050,plain,
( v1_tsp_2(iPr_def_24,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_24)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_24)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_24)),k4_tex_4(sK2,sK5(sK2,iPr_def_24))) = k1_struct_0(sK2,sK5(sK2,iPr_def_24)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251869,c_8253]) ).
tcf(c_252056,plain,
( v1_tsp_2(iPr_def_23,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_23)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_23)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_23)),k4_tex_4(sK2,sK5(sK2,iPr_def_23))) = k1_struct_0(sK2,sK5(sK2,iPr_def_23)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251865,c_8251]) ).
tcf(c_252062,plain,
( v1_tsp_2(iPr_def_22,sK2)
| r2_hidden(k1_xboole_0,iPr_def_20)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,iPr_def_22)))) = k2_tex_4(sK2,sK5(sK2,iPr_def_22)) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,iPr_def_22)),k4_tex_4(sK2,sK5(sK2,iPr_def_22))) = k1_struct_0(sK2,sK5(sK2,iPr_def_22)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251861,c_8249]) ).
tcf(c_252068,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK25(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK25(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK25(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK25(sK2))),k4_tex_4(sK2,sK5(sK2,sK25(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK25(sK2))) )
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251891,c_115432]) ).
tcf(c_252074,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK19(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK19(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK19(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK19(sK2))),k4_tex_4(sK2,sK5(sK2,sK19(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK19(sK2))) )
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251887,c_115387]) ).
tcf(c_252080,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(sK17(sK2),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,sK17(sK2))))) = k2_tex_4(sK2,sK5(sK2,sK17(sK2))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,sK17(sK2))),k4_tex_4(sK2,sK5(sK2,sK17(sK2)))) = k1_struct_0(sK2,sK5(sK2,sK17(sK2))) )
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251883,c_115361]) ).
tcf(c_252086,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK14(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK14(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK14(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251879,c_115077]) ).
tcf(c_252092,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| v1_tsp_2(u1_struct_0(sK10(sK2)),sK2)
| ( k2_tex_4(sK2,sK5(sK2,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))))) = k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ( k5_subset_1(iPr_def_20,k2_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))),k4_tex_4(sK2,sK5(sK2,u1_struct_0(sK10(sK2))))) = k1_struct_0(sK2,sK5(sK2,u1_struct_0(sK10(sK2)))) )
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251875,c_114775]) ).
tcf(c_252475,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138468,c_174041]) ).
tcf(c_252575,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_138478,c_174041]) ).
tcf(c_252653,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_252629,c_252624,c_252583,c_252577,c_252576,c_252575,c_252574,c_252573,c_252572,c_252571,c_252570,c_252569,c_252567,c_252566,c_252565,c_252563,c_252524,c_252483,c_252477,c_252476,c_252475,c_252474,c_252473,c_252472,c_252471,c_252470,c_252469,c_252467,c_252466,c_252465,c_252463,c_252092,c_252086,c_252080,c_252074,c_252068,c_252062,c_252056,c_252050,c_252027,c_252022,c_252011,c_252006,c_252001,c_251996,c_251991,c_251986,c_251981,c_251976,c_251971,c_251966,c_251954,c_251949,c_251944,c_251939,c_251934,c_251929,c_251924,c_251919,c_251914,c_251909,c_251904,c_251899,c_251893,c_251892,c_251891,c_251890,c_251889,c_251888,c_251887,c_251886,c_251885,c_251884,c_251883,c_251882,c_251881,c_251880,c_251879,c_251878,c_251877,c_251876,c_251875,c_251874,c_251873,c_251872,c_251869,c_251868,c_251867,c_251866,c_251865,c_251864,c_251863,c_251862,c_251861,c_251860,c_251859,c_251858,c_251857,c_251856,c_251855,c_251854,c_251853,c_251800,c_251799,c_251796,c_251795,c_251794,c_251793,c_251778,c_251741,c_251740,c_251739,c_251738,c_251736,c_251708,c_251529,c_251513,c_251391,c_251182,c_251176,c_251170,c_251164,c_251158,c_251152,c_251146,c_251140,c_251117,c_251112,c_251101,c_251096,c_251091,c_251086,c_251081,c_251076,c_251071,c_251066,c_251061,c_251056,c_251044,c_251039,c_251034,c_251029,c_251024,c_251019,c_251014,c_251009,c_251004,c_250999,c_250994,c_250989,c_250983,c_250982,c_250981,c_250980,c_250979,c_250978,c_250977,c_250976,c_250975,c_250974,c_250973,c_250972,c_250971,c_250970,c_250969,c_250968,c_250967,c_250966,c_250965,c_250964,c_250963,c_250962,c_250959,c_250958,c_250957,c_250956,c_250955,c_250954,c_250953,c_250952,c_250951,c_250950,c_250949,c_250948,c_250947,c_250946,c_250945,c_250944,c_250943,c_250923,c_250908,c_250854,c_250853,c_250852,c_250851,c_250849,c_250827,c_250812,c_250779,c_250778,c_250777,c_250775,c_250753,c_250738,c_250737,c_250683,c_250682,c_250681,c_250679,c_250651,c_250645,c_250639,c_250638,c_250637,c_250636,c_250635,c_250596,c_250595,c_250593,c_250588,c_250587,c_250586,c_250585,c_250584,c_250523,c_250514,c_250486,c_250485,c_250482,c_250481,c_250480,c_250479,c_250464,c_250424,c_250423,c_250422,c_250420,c_250399,c_250384,c_250352,c_250351,c_250350,c_250348,c_250300,c_250285,c_250252,c_250251,c_250250,c_250248,c_250203,c_250202,c_250201,c_250199,c_250198,c_250197,c_250195,c_250181,c_250180,c_250179,c_250147,c_250146,c_250145,c_250144,c_250143,c_250142,c_250089,c_250085,c_250084,c_250083,c_249907,c_249832,c_249831,c_249830,c_249829,c_249673,c_249639,c_249633,c_249632,c_249631,c_249630,c_249629,c_249628,c_249627,c_249626,c_249625,c_249624,c_249623,c_249622,c_249621,c_249620,c_249619,c_249579,c_249578,c_249577,c_249576,c_249542,c_249541,c_249540,c_249539,c_249512,c_249511,c_249510,c_249509,c_249459,c_249458,c_249457,c_249456,c_249418,c_249417,c_249416,c_249406,c_249405,c_249352,c_249341,c_249340,c_249339,c_249337,c_249336,c_249335,c_249269,c_249268,c_249267,c_249265,c_249264,c_249263,c_249241,c_249240,c_249239,c_249238,c_249223,c_249222,c_249221,c_249220,c_249199,c_249198,c_249197,c_249196,c_249181,c_249180,c_249179,c_249178,c_249149,c_249148,c_249147,c_249146,c_249124,c_249123,c_249122,c_249034,c_249033,c_249032,c_249031,c_249030,c_249029,c_249028,c_249027,c_249026,c_249025,c_249024,c_249008,c_248946,c_248945,c_248944,c_248943,c_248942,c_248941,c_248940,c_248919,c_248918,c_248917,c_248916,c_248888,c_248877,c_248876,c_248875,c_248873,c_248872,c_248871,c_248856,c_248845,c_248844,c_248843,c_248841,c_248840,c_248839,c_248726,c_248715,c_248714,c_248713,c_248711,c_248710,c_248709,c_248694,c_248683,c_248682,c_248681,c_248679,c_248678,c_248677,c_248639,c_248638,c_248637,c_248636,c_248626,c_248625,c_248615,c_248614,c_248604,c_248603,c_248583,c_248582,c_248581,c_248580,c_248545,c_248544,c_248543,c_248542,c_248512,c_248511,c_248510,c_248509,c_248482,c_248481,c_248480,c_248479,c_248382,c_248371,c_248370,c_248369,c_248367,c_248366,c_248365,c_248245,c_248242,c_248231,c_248230,c_248229,c_248227,c_248226,c_248225,c_248214,c_248211,c_248200,c_248199,c_248198,c_248196,c_248195,c_248194,c_248183,c_248180,c_248169,c_248168,c_248167,c_248165,c_248164,c_248163,c_248149,c_248148,c_248133,c_248132,c_248131,c_248130,c_248091,c_248090,c_248089,c_248088,c_248074,c_248060,c_248047,c_248046,c_248045,c_248044,c_248010,c_248009,c_248008,c_247964,c_247961,c_247950,c_247949,c_247948,c_247946,c_247945,c_247944,c_247805,c_247794,c_247793,c_247792,c_247790,c_247789,c_247788,c_247762,c_247761,c_247760,c_247758,c_247757,c_247756,c_247741,c_247740,c_247739,c_247738,c_247723,c_247722,c_247721,c_247720,c_247616,c_247615,c_247614,c_247613,c_247574,c_247573,c_247572,c_247571,c_247528,c_246606,c_246572,c_246549,c_246464,c_246455,c_246450,c_246414,c_246408,c_246402,c_246390,c_246372,c_246366,c_246360,c_246330,c_246315,c_246311,c_246306,c_246294,c_246282,c_246276,c_246270,c_246258,c_246246,c_246234,c_246228,c_246222,c_246216,c_246210,c_246204,c_246192,c_246186,c_246174,c_246168,c_246162,c_246144,c_246120,c_246116,c_246102,c_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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 % Computer : n005.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Sep 25 04:13:02 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 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
% 0.15/0.50
% 0.15/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.50
% 0.15/0.50 % Detected problem language: tptp
% 0.23/0.52 % Proving...
% 162.94/29.24 % SZS status Started for theBenchmark.p
% 162.94/29.24 % SZS status Theorem for theBenchmark.p
% 162.94/29.24
% 162.94/29.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 162.94/29.24
% 162.94/29.24 % ------ iProver source info
% 162.94/29.24
% 162.94/29.24 % git: date: 2026-07-19 20:42:38 +0200
% 162.94/29.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 162.94/29.24 % git: non_committed_changes: false
% 162.94/29.24
% 162.94/29.24 % ------ Parsing...
% 162.94/29.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 162.94/29.24
% 162.94/29.24 % ------ Preprocessing... sup_sim: 0 sf_s rm: 126 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 21 0s sf_e pe_s pe_e %
% 162.94/29.24
% 162.94/29.24 % ------ Preprocessing... gs_s sp: 7 0s gs_e snvd_s sp: 0 0s snvd_e %
% 162.94/29.24
% 162.94/29.24 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 162.94/29.24 % ------ Proving...
% 162.94/29.24 % ------ Problem Properties
% 162.94/29.24
% 162.94/29.24 %
% 162.94/29.24 % clauses 144
% 162.94/29.24 % conjectures 3
% 162.94/29.24 % EPR 43
% 162.94/29.24 % Horn 131
% 162.94/29.24 % unary 57
% 162.94/29.24 % binary 31
% 162.94/29.24 % lits 315
% 162.94/29.24 % lits eq 47
% 162.94/29.24 % fd_pure 0
% 162.94/29.24 % fd_pseudo 0
% 162.94/29.24 % fd_cond 1
% 162.94/29.24 % fd_pseudo_cond 2
% 162.94/29.24 % AC symbols 0
% 162.94/29.24
% 162.94/29.24 % ------ Schedule dynamic 5 is on
% 162.94/29.24
% 162.94/29.24 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 162.94/29.24
% 162.94/29.24
% 162.94/29.24 % ------
% 162.94/29.24 % Current options:
% 162.94/29.24 % ------
% 162.94/29.24
% 162.94/29.24
% 162.94/29.24 %
% 162.94/29.24
% 162.94/29.24 % ------ Proving...
% 162.94/29.24 % Proof_search_loop: time out after: 5651 full_loop iterations
% 162.94/29.24
% 162.94/29.24 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 162.94/29.24
% 162.94/29.24
% 162.94/29.24 % ------
% 162.94/29.24 % Current options:
% 162.94/29.24 % ------
% 162.94/29.24
% 162.94/29.24
% 162.94/29.24 %
% 162.94/29.24
% 162.94/29.24 % ------ Proving...
% 162.94/29.24 %
% 162.94/29.24
% 162.94/29.24 % SZS status Theorem for theBenchmark.p
% 162.94/29.24
% 162.94/29.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 214.78/29.42
% 214.78/29.42
%------------------------------------------------------------------------------