%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 03:55:04 PM UTC 2026
% Result : Theorem 152.10s 29.63s
% Output : CNFRefutation 175.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 86
% Syntax : Number of formulae : 14323 ( 756 unt; 19 def)
% Number of atoms : 107939 (7871 equ)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 65525 (29855 ~;35203 |; 368 &)
% ( 18 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 58 ( 56 usr; 25 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 7 con; 0-4 aty)
% Number of variables : 7664 ( 2 sgn7611 !; 53 ?;7066 :)
% 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))
& 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)) )
=> ( 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) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_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))
& 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)) )
=> ( 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) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(f50,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f66,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f74,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(f76,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m1_pre_topc(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_pre_topc) ).
fof(f77,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f78,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f79,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f80,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m2_tsp_1(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f84,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f88,axiom,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f101,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(f108,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f121,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t11_tsp_2) ).
fof(f123,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))
& 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) )
=> ( 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) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_tsp_2) ).
fof(f124,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f125,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/sandbox2/benchmark/theBenchmark.p',t1_tsep_1) ).
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/sandbox2/benchmark/theBenchmark.p',t23_tex_4) ).
fof(f127,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f132,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f133,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f134,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/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))
& 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)) )
& ( ~ 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) ) ) ) ),
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))
& 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)) )
& ( ~ 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) ) ) ) ),
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] :
( ~ 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))
| ~ 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
| ( 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) ) ) ) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f290,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))
| ~ 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
| ( 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) ) ) ) ) ),
inference(flattening,[],[f289]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f292,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,[],[f125]) ).
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))
& 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)) )
& ( ~ 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) ) ),
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))
| ~ 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
| ( 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) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X4,sK27(X0,X1,X2,X3))],[f290]) ).
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,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f307]) ).
fof(f354,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f307]) ).
fof(f355,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(f356,plain,
( ~ 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) ),
inference(cnf_transformation,[],[f307]) ).
fof(f357,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f365,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(f403,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(f449,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(f472,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f473,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(f474,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(f475,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(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)))
| r2_hidden(sK5(X0,X1),X1)
| 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)))
| 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(f478,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f479,plain,
! [X0,X1] :
( r2_hidden(sK6(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f480,plain,
! [X0,X1] :
( ~ r2_hidden(sK6(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
fof(f481,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(f482,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(f483,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(f484,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(f485,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(f486,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(f487,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(f488,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(f489,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(f490,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(f491,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(f492,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(f493,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f494,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f495,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(f496,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f497,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f320]) ).
fof(f499,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_pre_topc(sK10(X0),X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f500,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f323]) ).
fof(f501,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f324]) ).
fof(f502,plain,
! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f325]) ).
fof(f503,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m2_tsp_1(sK14(X0),X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f513,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f514,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f84]) ).
fof(f519,plain,
! [X0] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f88]) ).
fof(f546,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f552,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f97]) ).
fof(f559,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f135]) ).
fof(f560,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(f566,plain,
~ v1_xboole_0(sK15),
inference(cnf_transformation,[],[f327]) ).
fof(f567,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK16(X0)) ),
inference(cnf_transformation,[],[f328]) ).
fof(f568,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f328]) ).
fof(f570,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(f571,plain,
! [X0] : v1_xboole_0(sK18(X0)),
inference(cnf_transformation,[],[f330]) ).
fof(f572,plain,
! [X0] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f330]) ).
fof(f575,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(f576,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f332]) ).
fof(f577,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f332]) ).
fof(f580,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK21(X0)) ),
inference(cnf_transformation,[],[f333]) ).
fof(f581,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(f588,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) ),
inference(cnf_transformation,[],[f334]) ).
fof(f589,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f334]) ).
fof(f590,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK23(X0)) ),
inference(cnf_transformation,[],[f335]) ).
fof(f591,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(f603,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f605,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(f607,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK26(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f608,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(f609,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(f610,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(f611,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(f612,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(f613,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f340]) ).
fof(f615,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f617,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f136]) ).
fof(f619,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(f622,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))
| ~ 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
| v5_pre_topc(X2,X0,X1) ),
inference(cnf_transformation,[],[f343]) ).
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))
| ~ 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
| v5_pre_topc(X2,X0,X1) ),
inference(cnf_transformation,[],[f343]) ).
fof(f628,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f291]) ).
fof(f629,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,[],[f292]) ).
fof(f630,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(f631,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(f632,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f127]) ).
fof(f633,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f634,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f345]) ).
fof(f635,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f636,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(f637,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(f638,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f300]) ).
fof(f639,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f301]) ).
fof(f640,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f641,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,[],[f619]) ).
fof(f647,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))
| ~ 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))))
| v5_pre_topc(X2,X0,X1) ),
inference(equality_resolution,[],[f623]) ).
fof(f648,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))
| ~ 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))
| v5_pre_topc(X2,X0,X1) ),
inference(equality_resolution,[],[f622]) ).
tcf(c_49,negated_conjecture,
( ~ v1_funct_1(sK4)
| ~ 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)) ),
inference(cnf_transformation,[],[f356]) ).
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,[],[f355]) ).
tcf(c_51,negated_conjecture,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f354]) ).
tcf(c_52,negated_conjecture,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f353]) ).
tcf(c_53,negated_conjecture,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f352]) ).
tcf(c_54,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f351]) ).
tcf(c_55,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f350]) ).
tcf(c_56,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f349]) ).
tcf(c_57,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f348]) ).
tcf(c_58,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f347]) ).
tcf(c_59,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f346]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_65,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,[],[f365]) ).
tcf(c_100,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,[],[f403]) ).
tcf(c_134,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,[],[f449]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f472]) ).
tcf(c_144,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,[],[f473]) ).
tcf(c_145,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,[],[f477]) ).
tcf(c_146,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,[],[f476]) ).
tcf(c_147,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,[],[f475]) ).
tcf(c_148,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,[],[f474]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_152,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,[],[f486]) ).
tcf(c_153,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,[],[f485]) ).
tcf(c_154,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,[],[f484]) ).
tcf(c_155,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,[],[f483]) ).
tcf(c_156,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,[],[f482]) ).
tcf(c_157,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,[],[f481]) ).
tcf(c_158,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,[],[f487]) ).
tcf(c_159,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,[],[f488]) ).
tcf(c_160,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,[],[f490]) ).
tcf(c_161,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,[],[f489]) ).
tcf(c_162,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,[],[f491]) ).
tcf(c_163,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,[],[f492]) ).
tcf(c_164,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_166,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,[],[f495]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_168,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f497]) ).
tcf(c_170,plain,
! [X0: $i] :
( m1_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f500]) ).
tcf(c_172,plain,
! [X0: $i] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f501]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f502]) ).
tcf(c_174,plain,
! [X0: $i] :
( m2_tsp_1(sK14(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_184,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_185,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f514]) ).
tcf(c_190,plain,
! [X0: $i] : ~ v1_xboole_0(k1_tarski(X0)),
inference(cnf_transformation,[],[f519]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f546]) ).
tcf(c_218,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f552]) ).
tcf(c_230,plain,
! [X0: $i] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f559]) ).
tcf(c_231,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,[],[f560]) ).
tcf(c_232,plain,
~ v1_xboole_0(sK15),
inference(cnf_transformation,[],[f566]) ).
tcf(c_238,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK16(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_239,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK16(X0)) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_240,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,[],[f570]) ).
tcf(c_242,plain,
! [X0: $i] : m1_subset_1(sK18(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f572]) ).
tcf(c_243,plain,
! [X0: $i] : v1_xboole_0(sK18(X0)),
inference(cnf_transformation,[],[f571]) ).
tcf(c_244,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,[],[f575]) ).
tcf(c_247,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f577]) ).
tcf(c_248,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f576]) ).
tcf(c_249,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,[],[f581]) ).
tcf(c_250,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0)) ),
inference(cnf_transformation,[],[f580]) ).
tcf(c_253,plain,
! [X0: $i] :
( m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f589]) ).
tcf(c_254,plain,
! [X0: $i] :
( v1_xboole_0(sK22(X0))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_261,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,[],[f591]) ).
tcf(c_262,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0)) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_274,plain,
! [X0: $i] :
( sP1(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_275,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,[],[f605]) ).
tcf(c_277,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,[],[f608]) ).
tcf(c_278,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) ),
inference(cnf_transformation,[],[f607]) ).
tcf(c_280,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,[],[f609]) ).
tcf(c_281,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,[],[f610]) ).
tcf(c_282,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,[],[f611]) ).
tcf(c_283,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,[],[f612]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f614]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f615]) ).
tcf(c_288,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f617]) ).
tcf(c_289,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,[],[f641]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_pre_topc(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)
| ~ 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,[],[f647]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v5_pre_topc(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)
| ~ 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,[],[f648]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f628]) ).
tcf(c_294,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,[],[f629]) ).
tcf(c_295,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,[],[f631]) ).
tcf(c_296,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,[],[f630]) ).
tcf(c_297,plain,
! [X0: $i] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
inference(cnf_transformation,[],[f632]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f635]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f634]) ).
tcf(c_301,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,[],[f636]) ).
tcf(c_302,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,[],[f637]) ).
tcf(c_303,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f639]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f640]) ).
tcf(c_312,plain,
( l1_struct_0(sK2)
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_334,plain,
( v1_xboole_0(sK22(sK2))
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_391,plain,
( sP1(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_398,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ v1_xboole_0(sK23(sK2)) ),
inference(instantiation,[status(thm)],[c_262]) ).
tcf(c_401,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_431,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_261]) ).
tcf(c_434,plain,
( v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK26(sK2)) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_438,plain,
( v3_struct_0(sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK21(sK2)) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_444,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_277]) ).
tcf(c_445,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_249]) ).
tcf(c_498,negated_conjecture,
~ v5_pre_topc(sK4,sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_49,c_51,c_53,c_52,c_49]) ).
tcf(c_502,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_65,c_100]) ).
tcf(c_503,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_502]) ).
tcf(c_507,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_289,c_287,c_294,c_289]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_pre_topc(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)
| ( 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_291,c_287,c_294,c_291]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v5_pre_topc(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)
| ~ 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_510]) ).
tcf(c_513,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_514,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(renaming,[status(thm)],[c_513]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_299]) ).
tcf(c_517,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_285]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_517]) ).
tcf(c_535,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_164]) ).
tcf(c_537,plain,
! [X0: $i] :
( m1_pre_topc(sK10(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_170]) ).
tcf(c_539,plain,
! [X0: $i] :
( m2_tsp_1(sK14(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_174]) ).
tcf(c_725,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_284,c_166]) ).
tcf(c_1172,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_144,c_515]) ).
tcf(c_1173,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_162,c_515]) ).
tcf(c_1174,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_231,c_515]) ).
tcf(c_1175,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_282,c_515]) ).
tcf(c_1176,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_301,c_515]) ).
tcf(c_1177,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_302,c_515]) ).
tcf(c_3957,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)
| ~ 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_498,c_511]) ).
tcf(c_3958,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)
| ~ 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_3957]) ).
tcf(c_3959,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_3958,c_59,c_58,c_51,c_57,c_56,c_55,c_54,c_53,c_52,c_3958]) ).
tcf(c_3964,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)
| ~ 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_498,c_292]) ).
tcf(c_3965,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)
| ~ m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
| ~ v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_3964]) ).
tcf(c_3966,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_3965,c_59,c_58,c_51,c_57,c_56,c_55,c_54,c_53,c_52,c_3965]) ).
tcf(c_3979,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_53,c_518]) ).
tcf(c_3980,plain,
m1_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_3979]) ).
tcf(c_3984,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_518,c_173]) ).
tcf(c_3985,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_3984]) ).
tcf(c_3992,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_283]) ).
tcf(c_3993,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_3992]) ).
tcf(c_4010,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_163]) ).
tcf(c_4011,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_4010]) ).
tcf(c_4038,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_4011]) ).
tcf(c_4039,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_4038]) ).
tcf(c_4050,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_3993]) ).
tcf(c_4051,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_4050]) ).
tcf(c_4066,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_725,c_171]) ).
tcf(c_4067,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK11(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(unflattening,[status(thm)],[c_4066]) ).
tcf(c_4072,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_725,c_3980]) ).
tcf(c_4073,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3)))),
inference(unflattening,[status(thm)],[c_4072]) ).
tcf(c_4077,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_725,c_3985]) ).
tcf(c_4078,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK13(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(unflattening,[status(thm)],[c_4077]) ).
tcf(c_4088,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_55,c_507]) ).
tcf(c_4089,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_4088]) ).
tcf(c_4090,plain,
v1_tsp_2(u1_struct_0(sK3),sK2),
inference(global_subsumption_just,[status(thm)],[c_4089,c_59,c_57,c_56,c_4089]) ).
tcf(c_4100,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_287]) ).
tcf(c_4101,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4100]) ).
tcf(c_4102,plain,
m1_pre_topc(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_4101,c_59,c_4101]) ).
tcf(c_4107,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_167]) ).
tcf(c_4108,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4107]) ).
tcf(c_4109,plain,
l1_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_4108,c_59,c_4108]) ).
tcf(c_4114,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_287,c_539]) ).
tcf(c_4115,plain,
! [X0: $i] :
( m1_pre_topc(sK14(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4114]) ).
tcf(c_4123,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_167,c_539]) ).
tcf(c_4124,plain,
! [X0: $i] :
( l1_pre_topc(sK14(X0))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4123]) ).
tcf(c_4125,plain,
( l1_pre_topc(sK14(sK2))
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_4124]) ).
tcf(c_4138,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_294,c_537]) ).
tcf(c_4139,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_4138]) ).
tcf(c_4147,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_165,c_537]) ).
tcf(c_4148,plain,
! [X0: $i] :
( l1_pre_topc(sK10(X0))
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4147]) ).
tcf(c_4149,plain,
( l1_pre_topc(sK10(sK2))
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_4148]) ).
tcf(c_4156,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_503,c_537]) ).
tcf(c_4157,plain,
! [X0: $i] :
( v2_pre_topc(sK10(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4156]) ).
tcf(c_4168,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_294,c_4102]) ).
tcf(c_4169,plain,
( m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4168]) ).
tcf(c_4170,plain,
m1_subset_1(u1_struct_0(sK3),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_4169,c_59,c_4169]) ).
tcf(c_4177,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_503,c_4102]) ).
tcf(c_4178,plain,
( v2_pre_topc(sK3)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4177]) ).
tcf(c_4179,plain,
v2_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_4178,c_59,c_58,c_4178]) ).
tcf(c_4184,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_294,c_4115]) ).
tcf(c_4185,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_4184]) ).
tcf(c_4195,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_503,c_4115]) ).
tcf(c_4196,plain,
! [X0: $i] :
( v2_pre_topc(sK14(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4195]) ).
tcf(c_4215,plain,
m1_subset_1(sK27(sK2,sK3,sK4,u1_struct_0(sK3)),u1_struct_0(sK2)),
inference(backward_subsumption_resolution,[status(thm)],[c_3966,c_4170]) ).
tcf(c_4793,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_280,c_247]) ).
tcf(c_4794,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_4793]) ).
tcf(c_4805,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_158,c_247]) ).
tcf(c_4806,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_4805]) ).
tcf(c_4841,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_262,c_247]) ).
tcf(c_4842,plain,
( v3_struct_0(sK20)
| ~ v1_xboole_0(sK23(sK20)) ),
inference(unflattening,[status(thm)],[c_4841]) ).
tcf(c_4848,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_261,c_247]) ).
tcf(c_4849,plain,
( v3_struct_0(sK20)
| m1_subset_1(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(unflattening,[status(thm)],[c_4848]) ).
tcf(c_4855,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_184,c_247]) ).
tcf(c_4856,plain,
( v3_struct_0(sK20)
| ~ v1_xboole_0(u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_4855]) ).
tcf(c_5363,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_514,c_1176]) ).
tcf(c_5364,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_5363]) ).
tcf(c_5652,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_148,c_5364]) ).
tcf(c_5788,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_54,c_295]) ).
tcf(c_5789,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_5788]) ).
tcf(c_5791,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_5789,c_59,c_4108,c_5789]) ).
tcf(c_5792,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_5791]) ).
tcf(c_5806,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_278]) ).
tcf(c_5807,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_xboole_0(sK26(sK3)) ),
inference(unflattening,[status(thm)],[c_5806]) ).
tcf(c_5808,plain,
~ v1_xboole_0(sK26(sK3)),
inference(global_subsumption_just,[status(thm)],[c_5807,c_59,c_58,c_4108,c_4178,c_5807]) ).
tcf(c_5813,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_54,c_277]) ).
tcf(c_5814,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_5813]) ).
tcf(c_5815,plain,
m1_subset_1(sK26(sK3),k1_zfmisc_1(u1_struct_0(sK3))),
inference(global_subsumption_just,[status(thm)],[c_5814,c_59,c_58,c_4108,c_4178,c_5814]) ).
tcf(c_5820,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_262]) ).
tcf(c_5821,plain,
( ~ l1_struct_0(sK3)
| ~ v1_xboole_0(sK23(sK3)) ),
inference(unflattening,[status(thm)],[c_5820]) ).
tcf(c_5828,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_54,c_261]) ).
tcf(c_5829,plain,
( m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_5828]) ).
tcf(c_5836,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_250]) ).
tcf(c_5837,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ v1_xboole_0(sK21(sK3)) ),
inference(unflattening,[status(thm)],[c_5836]) ).
tcf(c_5838,plain,
~ v1_xboole_0(sK21(sK3)),
inference(global_subsumption_just,[status(thm)],[c_5837,c_59,c_58,c_4108,c_4178,c_5837]) ).
tcf(c_5843,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_54,c_249]) ).
tcf(c_5844,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_5843]) ).
tcf(c_5845,plain,
m1_subset_1(sK21(sK3),k1_zfmisc_1(u1_struct_0(sK3))),
inference(global_subsumption_just,[status(thm)],[c_5844,c_59,c_58,c_4108,c_4178,c_5844]) ).
tcf(c_5850,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_184]) ).
tcf(c_5851,plain,
( ~ l1_struct_0(sK3)
| ~ v1_xboole_0(u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5850]) ).
tcf(c_5858,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_54,c_145]) ).
tcf(c_5859,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_5858]) ).
tcf(c_5861,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_5859,c_59,c_58,c_4108,c_4178,c_5859]) ).
tcf(c_5873,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_54,c_5652]) ).
tcf(c_5874,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_5873]) ).
tcf(c_5875,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_5874,c_59,c_58,c_4108,c_4178,c_5874]) ).
tcf(c_5889,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_54,c_296]) ).
tcf(c_5890,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_5889]) ).
tcf(c_5892,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_5890,c_59,c_4108,c_5890]) ).
tcf(c_5893,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_5892]) ).
tcf(c_5907,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_54,c_281]) ).
tcf(c_5908,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_5907]) ).
tcf(c_5919,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_54,c_280]) ).
tcf(c_5920,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_5919]) ).
tcf(c_5931,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_54,c_161]) ).
tcf(c_5932,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_5931]) ).
tcf(c_5943,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_54,c_160]) ).
tcf(c_5944,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_5943]) ).
tcf(c_5955,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_54,c_158]) ).
tcf(c_5956,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_5955]) ).
tcf(c_5967,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_54,c_147]) ).
tcf(c_5968,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_5967]) ).
tcf(c_5970,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_5968,c_59,c_58,c_4108,c_4178,c_5968]) ).
tcf(c_5982,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_54,c_146]) ).
tcf(c_5983,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_5982]) ).
tcf(c_5985,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_5983,c_59,c_58,c_4108,c_4178,c_5983]) ).
tcf(c_5997,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_57,c_295]) ).
tcf(c_5998,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_5997]) ).
tcf(c_6000,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_5998,c_59,c_5998]) ).
tcf(c_6001,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_6000]) ).
tcf(c_6015,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_278]) ).
tcf(c_6016,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK26(sK2)) ),
inference(unflattening,[status(thm)],[c_6015]) ).
tcf(c_6017,plain,
~ v1_xboole_0(sK26(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6016,c_59,c_58,c_57,c_434]) ).
tcf(c_6022,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_57,c_277]) ).
tcf(c_6023,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_6022]) ).
tcf(c_6024,plain,
m1_subset_1(sK26(sK2),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_6023,c_59,c_58,c_57,c_444]) ).
tcf(c_6029,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_262]) ).
tcf(c_6030,plain,
( ~ l1_struct_0(sK2)
| ~ v1_xboole_0(sK23(sK2)) ),
inference(unflattening,[status(thm)],[c_6029]) ).
tcf(c_6031,plain,
~ v1_xboole_0(sK23(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6030,c_59,c_57,c_312,c_398]) ).
tcf(c_6036,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_57,c_261]) ).
tcf(c_6037,plain,
( m1_subset_1(sK23(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_6036]) ).
tcf(c_6038,plain,
m1_subset_1(sK23(sK2),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_6037,c_59,c_57,c_312,c_431]) ).
tcf(c_6043,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_250]) ).
tcf(c_6044,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(sK21(sK2)) ),
inference(unflattening,[status(thm)],[c_6043]) ).
tcf(c_6045,plain,
~ v1_xboole_0(sK21(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6044,c_59,c_58,c_57,c_438]) ).
tcf(c_6050,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_57,c_249]) ).
tcf(c_6051,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_6050]) ).
tcf(c_6052,plain,
m1_subset_1(sK21(sK2),k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_6051,c_59,c_58,c_57,c_445]) ).
tcf(c_6057,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_184]) ).
tcf(c_6058,plain,
( ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_6057]) ).
tcf(c_6059,plain,
~ v1_xboole_0(u1_struct_0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_6058,c_59,c_57,c_312,c_401]) ).
tcf(c_6064,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_57,c_145]) ).
tcf(c_6065,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_6064]) ).
tcf(c_6067,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_6065,c_59,c_58,c_6065]) ).
tcf(c_6079,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_57,c_5652]) ).
tcf(c_6080,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_6079]) ).
tcf(c_6081,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_6080,c_59,c_58,c_6080]) ).
tcf(c_6095,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_57,c_296]) ).
tcf(c_6096,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_6095]) ).
tcf(c_6098,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_6096,c_59,c_6096]) ).
tcf(c_6099,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_6098]) ).
tcf(c_6113,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_57,c_281]) ).
tcf(c_6114,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_6113]) ).
tcf(c_6125,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_57,c_280]) ).
tcf(c_6126,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_6125]) ).
tcf(c_6137,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_57,c_161]) ).
tcf(c_6138,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_6137]) ).
tcf(c_6149,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_57,c_160]) ).
tcf(c_6150,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_6149]) ).
tcf(c_6161,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_57,c_158]) ).
tcf(c_6162,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_6161]) ).
tcf(c_6173,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_57,c_147]) ).
tcf(c_6174,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_6173]) ).
tcf(c_6176,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_6174,c_59,c_58,c_6174]) ).
tcf(c_6188,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_57,c_146]) ).
tcf(c_6189,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_6188]) ).
tcf(c_6191,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_6189,c_59,c_58,c_6189]) ).
tcf(c_6203,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_295,c_248]) ).
tcf(c_6204,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_6203]) ).
tcf(c_6221,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_278,c_248]) ).
tcf(c_6222,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(sK26(sK20)) ),
inference(unflattening,[status(thm)],[c_6221]) ).
tcf(c_6232,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_277,c_248]) ).
tcf(c_6233,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_6232]) ).
tcf(c_6243,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK23(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_262,c_248]) ).
tcf(c_6244,plain,
( ~ l1_struct_0(sK20)
| ~ v1_xboole_0(sK23(sK20)) ),
inference(unflattening,[status(thm)],[c_6243]) ).
tcf(c_6245,plain,
~ v1_xboole_0(sK23(sK20)),
inference(global_subsumption_just,[status(thm)],[c_6244,c_248,c_4842]) ).
tcf(c_6250,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_261,c_248]) ).
tcf(c_6251,plain,
( m1_subset_1(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_struct_0(sK20) ),
inference(unflattening,[status(thm)],[c_6250]) ).
tcf(c_6252,plain,
m1_subset_1(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))),
inference(global_subsumption_just,[status(thm)],[c_6251,c_248,c_4849]) ).
tcf(c_6257,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK21(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_248]) ).
tcf(c_6258,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(sK21(sK20)) ),
inference(unflattening,[status(thm)],[c_6257]) ).
tcf(c_6268,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_249,c_248]) ).
tcf(c_6269,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_6268]) ).
tcf(c_6279,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_184,c_248]) ).
tcf(c_6280,plain,
( ~ l1_struct_0(sK20)
| ~ v1_xboole_0(u1_struct_0(sK20)) ),
inference(unflattening,[status(thm)],[c_6279]) ).
tcf(c_6281,plain,
~ v1_xboole_0(u1_struct_0(sK20)),
inference(global_subsumption_just,[status(thm)],[c_6280,c_248,c_4856]) ).
tcf(c_6286,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_145,c_248]) ).
tcf(c_6287,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_6286]) ).
tcf(c_6304,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_5652,c_248]) ).
tcf(c_6305,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_6304]) ).
tcf(c_6324,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_296,c_248]) ).
tcf(c_6325,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_6324]) ).
tcf(c_6342,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_281,c_248]) ).
tcf(c_6343,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_6342]) ).
tcf(c_6367,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_161,c_248]) ).
tcf(c_6368,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_6367]) ).
tcf(c_6382,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_160,c_248]) ).
tcf(c_6383,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_6382]) ).
tcf(c_6407,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_147,c_248]) ).
tcf(c_6408,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_6407]) ).
tcf(c_6425,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_146,c_248]) ).
tcf(c_6426,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_6425]) ).
tcf(c_6586,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_535,c_5956]) ).
tcf(c_6587,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_6586]) ).
tcf(c_6598,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_535,c_5920]) ).
tcf(c_6599,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_6598]) ).
tcf(c_6610,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(sK3))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_535,c_5851]) ).
tcf(c_6611,plain,
( ~ l1_pre_topc(sK3)
| ~ v1_xboole_0(u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_6610]) ).
tcf(c_6612,plain,
~ v1_xboole_0(u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_6611,c_59,c_4108,c_6611]) ).
tcf(c_6617,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_535,c_5829]) ).
tcf(c_6618,plain,
( m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3) ),
inference(unflattening,[status(thm)],[c_6617]) ).
tcf(c_6619,plain,
m1_subset_1(sK23(sK3),k1_zfmisc_1(u1_struct_0(sK3))),
inference(global_subsumption_just,[status(thm)],[c_6618,c_59,c_4108,c_6618]) ).
tcf(c_6624,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(sK23(sK3))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_535,c_5821]) ).
tcf(c_6625,plain,
( ~ l1_pre_topc(sK3)
| ~ v1_xboole_0(sK23(sK3)) ),
inference(unflattening,[status(thm)],[c_6624]) ).
tcf(c_6626,plain,
~ v1_xboole_0(sK23(sK3)),
inference(global_subsumption_just,[status(thm)],[c_6625,c_59,c_4108,c_6625]) ).
tcf(c_6650,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_299]) ).
tcf(c_6654,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_59,c_57,c_312,c_401,c_3980,c_4039]) ).
tcf(c_6656,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_59,c_57,c_312,c_401,c_3980,c_4051]) ).
tcf(c_6658,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_59,c_58,c_6114]) ).
tcf(c_6660,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_59,c_312,c_6126]) ).
tcf(c_6662,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_59,c_58,c_6138]) ).
tcf(c_6664,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_59,c_58,c_6150]) ).
tcf(c_6666,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_59,c_312,c_6162]) ).
tcf(c_6682,plain,
! [X0: $i] :
( l1_pre_topc(sK14(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_4124]) ).
tcf(c_6684,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_4139]) ).
tcf(c_6686,plain,
! [X0: $i] :
( l1_pre_topc(sK10(X0))
| ~ l1_pre_topc(X0) ),
inference(prop_impl_just,[status(thm)],[c_4148]) ).
tcf(c_6688,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_4185]) ).
tcf(c_6730,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_248,c_4794]) ).
tcf(c_6732,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_248,c_4806]) ).
tcf(c_6738,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_59,c_58,c_4108,c_4178,c_5908]) ).
tcf(c_6740,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_59,c_4108,c_6599]) ).
tcf(c_6742,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_59,c_58,c_4108,c_4178,c_5932]) ).
tcf(c_6744,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_59,c_58,c_4108,c_4178,c_5944]) ).
tcf(c_6746,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_59,c_4108,c_6587]) ).
tcf(c_6936,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_1172,c_6650]) ).
tcf(c_6937,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_1173,c_6650]) ).
tcf(c_6938,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_1174,c_6650]) ).
tcf(c_6939,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_1175,c_6650]) ).
tcf(c_8196,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_6426]) ).
tcf(c_8197,plain,
( iPr_def_10
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6426]) ).
tcf(c_8198,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_6408]) ).
tcf(c_8199,plain,
( iPr_def_11
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6408]) ).
tcf(c_8200,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_6383]) ).
tcf(c_8201,plain,
( iPr_def_12
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6383]) ).
tcf(c_8202,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_6368]) ).
tcf(c_8203,plain,
( iPr_def_13
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6368]) ).
tcf(c_8204,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_6343]) ).
tcf(c_8205,plain,
( iPr_def_14
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6343]) ).
tcf(c_8206,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_6305]) ).
tcf(c_8207,plain,
( iPr_def_15
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6305]) ).
tcf(c_8208,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_6287]) ).
tcf(c_8209,plain,
( iPr_def_16
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6287]) ).
tcf(c_8210,definition,
iPr_def_17 = sK23(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_8211,definition,
iPr_def_18 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_8212,definition,
iPr_def_19 = k1_zfmisc_1(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_8213,definition,
iPr_def_20 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_8214,definition,
iPr_def_21 = k1_zfmisc_1(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_8215,definition,
iPr_def_22 = sK21(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_8216,definition,
iPr_def_23 = sK23(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_8217,definition,
iPr_def_24 = sK26(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_8218,definition,
iPr_def_25 = sK21(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_8219,definition,
iPr_def_26 = sK26(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_8220,definition,
iPr_def_27 = sK27(sK2,sK3,sK4,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_8221,definition,
iPr_def_28 = k2_zfmisc_1(iPr_def_20,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_8222,definition,
iPr_def_29 = k1_zfmisc_1(iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_8223,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_8224,definition,
iPr_def_31 = k1_struct_0(sK3,iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_8225,definition,
iPr_def_32 = k4_tex_4(sK2,iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_8226,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_8227,plain,
~ v1_xboole_0(iPr_def_17),
inference(demodulation,[status(thm)],[c_6626,c_8210]) ).
tcf(c_8228,plain,
m1_subset_1(iPr_def_17,iPr_def_19),
inference(demodulation,[status(thm)],[c_6619,c_8211,c_8212]) ).
tcf(c_8229,plain,
~ v1_xboole_0(iPr_def_18),
inference(demodulation,[status(thm)],[c_6612]) ).
tcf(c_8230,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_6191,c_8213,c_8214]) ).
tcf(c_8231,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_6176]) ).
tcf(c_8232,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_6099]) ).
tcf(c_8233,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_6081]) ).
tcf(c_8234,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_6067]) ).
tcf(c_8235,plain,
~ v1_xboole_0(iPr_def_20),
inference(demodulation,[status(thm)],[c_6059]) ).
tcf(c_8236,plain,
m1_subset_1(iPr_def_22,iPr_def_21),
inference(demodulation,[status(thm)],[c_6052,c_8215]) ).
tcf(c_8237,plain,
~ v1_xboole_0(iPr_def_22),
inference(demodulation,[status(thm)],[c_6045]) ).
tcf(c_8238,plain,
m1_subset_1(iPr_def_23,iPr_def_21),
inference(demodulation,[status(thm)],[c_6038,c_8216]) ).
tcf(c_8239,plain,
~ v1_xboole_0(iPr_def_23),
inference(demodulation,[status(thm)],[c_6031]) ).
tcf(c_8240,plain,
m1_subset_1(iPr_def_24,iPr_def_21),
inference(demodulation,[status(thm)],[c_6024,c_8217]) ).
tcf(c_8241,plain,
~ v1_xboole_0(iPr_def_24),
inference(demodulation,[status(thm)],[c_6017]) ).
tcf(c_8242,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_6001]) ).
tcf(c_8243,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_5985]) ).
tcf(c_8244,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_5970]) ).
tcf(c_8245,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_5893]) ).
tcf(c_8246,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_5875]) ).
tcf(c_8247,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_5861]) ).
tcf(c_8248,plain,
m1_subset_1(iPr_def_25,iPr_def_19),
inference(demodulation,[status(thm)],[c_5845,c_8218]) ).
tcf(c_8249,plain,
~ v1_xboole_0(iPr_def_25),
inference(demodulation,[status(thm)],[c_5838]) ).
tcf(c_8250,plain,
m1_subset_1(iPr_def_26,iPr_def_19),
inference(demodulation,[status(thm)],[c_5815,c_8219]) ).
tcf(c_8251,plain,
~ v1_xboole_0(iPr_def_26),
inference(demodulation,[status(thm)],[c_5808]) ).
tcf(c_8252,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_5792]) ).
tcf(c_8253,plain,
m1_subset_1(iPr_def_27,iPr_def_20),
inference(demodulation,[status(thm)],[c_4215,c_8220]) ).
tcf(c_8254,plain,
v2_pre_topc(sK3),
inference(demodulation,[status(thm)],[c_4179]) ).
tcf(c_8255,plain,
m1_subset_1(iPr_def_18,iPr_def_21),
inference(demodulation,[status(thm)],[c_4170]) ).
tcf(c_8256,plain,
l1_pre_topc(sK3),
inference(demodulation,[status(thm)],[c_4109]) ).
tcf(c_8257,plain,
v1_tsp_2(iPr_def_18,sK2),
inference(demodulation,[status(thm)],[c_4090]) ).
tcf(c_8258,plain,
m1_subset_1(sK4,iPr_def_29),
inference(demodulation,[status(thm)],[c_4073,c_8221,c_8222]) ).
tcf(c_8259,plain,
iPr_def_31 != iPr_def_33,
inference(demodulation,[status(thm)],[c_3959,c_8225,c_8226,c_8223,c_8224]) ).
tcf(c_8260,negated_conjecture,
l1_pre_topc(sK2),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_8261,negated_conjecture,
v2_pre_topc(sK2),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_8262,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_8263,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_8273,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_8281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_tsp_2(X0,X2)
| ~ v1_tsp_2(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_8303,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_8263]) ).
tcf(c_10694,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_8230,c_8232]) ).
tcf(c_10715,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8242]) ).
tcf(c_10727,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_8243,c_8245]) ).
tcf(c_10750,plain,
m1_subset_1(sK18(iPr_def_18),iPr_def_19),
inference(superposition,[status(thm)],[c_8212,c_242]) ).
tcf(c_10751,plain,
~ v1_xboole_0(iPr_def_19),
inference(superposition,[status(thm)],[c_8212,c_185]) ).
tcf(c_10763,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(equality_resolution,[status(thm)],[c_8252]) ).
tcf(c_10775,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_8243,c_8233]) ).
tcf(c_10777,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_8262,c_8233]) ).
tcf(c_10845,plain,
m1_subset_1(sK18(iPr_def_20),iPr_def_21),
inference(superposition,[status(thm)],[c_8214,c_242]) ).
tcf(c_10846,plain,
~ v1_xboole_0(iPr_def_21),
inference(superposition,[status(thm)],[c_8214,c_185]) ).
tcf(c_10852,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_10715,c_8233]) ).
tcf(c_10868,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_10763,c_8246]) ).
tcf(c_10933,plain,
m1_subset_1(sK18(iPr_def_28),iPr_def_29),
inference(superposition,[status(thm)],[c_8222,c_242]) ).
tcf(c_10934,plain,
~ v1_xboole_0(iPr_def_29),
inference(superposition,[status(thm)],[c_8222,c_185]) ).
tcf(c_10958,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_10694,c_8231]) ).
tcf(c_11019,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_8225,c_8262]) ).
tcf(c_11020,plain,
( r2_hidden(iPr_def_30,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_11019,c_8223]) ).
tcf(c_11021,plain,
r2_hidden(iPr_def_30,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_11020,c_8253]) ).
tcf(c_11036,plain,
( v1_xboole_0(iPr_def_18)
| m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8212,c_238]) ).
tcf(c_11037,plain,
( v1_xboole_0(iPr_def_20)
| m1_subset_1(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8214,c_238]) ).
tcf(c_11038,plain,
( v1_xboole_0(iPr_def_28)
| m1_subset_1(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_8222,c_238]) ).
tcf(c_11041,plain,
m1_subset_1(sK16(iPr_def_20),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11037,c_8235]) ).
tcf(c_11042,plain,
m1_subset_1(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11036,c_8229]) ).
tcf(c_11111,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_6654,c_8211,c_8213]) ).
tcf(c_11123,plain,
! [X0: $i] : sK18(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_243,c_303]) ).
tcf(c_11124,plain,
! [X0: $i] :
( ( sK22(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_303]) ).
tcf(c_11127,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_242,c_11123]) ).
tcf(c_11129,plain,
m1_subset_1(k1_xboole_0,iPr_def_19),
inference(demodulation,[status(thm)],[c_10750,c_11123]) ).
tcf(c_11130,plain,
m1_subset_1(k1_xboole_0,iPr_def_21),
inference(demodulation,[status(thm)],[c_10845,c_11123]) ).
tcf(c_11131,plain,
m1_subset_1(k1_xboole_0,iPr_def_29),
inference(demodulation,[status(thm)],[c_10933,c_11123]) ).
tcf(c_11139,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8243,c_304]) ).
tcf(c_11140,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8230,c_304]) ).
tcf(c_11141,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8262,c_304]) ).
tcf(c_11215,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ~ v1_xboole_0(k1_xboole_0) ),
inference(superposition,[status(thm)],[c_11129,c_11139]) ).
tcf(c_11216,plain,
v1_tsp_1(k1_xboole_0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_11215,c_218]) ).
tcf(c_11246,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| ~ v1_xboole_0(k1_xboole_0) ),
inference(superposition,[status(thm)],[c_11130,c_11140]) ).
tcf(c_11247,plain,
v1_tsp_1(k1_xboole_0,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_11246,c_218]) ).
tcf(c_11297,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_150,c_304]) ).
tcf(c_11300,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_150,c_8233]) ).
tcf(c_11301,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_150,c_8245]) ).
tcf(c_11302,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_150,c_8232]) ).
tcf(c_11331,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8212,c_299]) ).
tcf(c_11332,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8214,c_299]) ).
tcf(c_11333,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8222,c_299]) ).
tcf(c_11348,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_172,c_300]) ).
tcf(c_11358,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8212,c_300]) ).
tcf(c_11359,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8214,c_300]) ).
tcf(c_11399,plain,
! [X0: $i] : r1_tarski(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_11127,c_300]) ).
tcf(c_11492,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_6662,c_8213,c_8214]) ).
tcf(c_11499,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_10777,c_11492]) ).
tcf(c_11504,plain,
( m1_subset_1(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8225,c_11492]) ).
tcf(c_11506,plain,
m1_subset_1(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11504,c_8253]) ).
tcf(c_11511,plain,
( m1_subset_1(iPr_def_30,iPr_def_18)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8223,c_11111]) ).
tcf(c_11514,plain,
m1_subset_1(iPr_def_30,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_11511,c_8253]) ).
tcf(c_11529,plain,
( v1_xboole_0(iPr_def_20)
| v1_xboole_0(iPr_def_18)
| ~ v1_xboole_0(iPr_def_28) ),
inference(superposition,[status(thm)],[c_8221,c_217]) ).
tcf(c_11530,plain,
~ v1_xboole_0(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_11529,c_8235,c_8229]) ).
tcf(c_11610,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_6666,c_8213,c_8214]) ).
tcf(c_11626,plain,
( m1_subset_1(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_253]) ).
tcf(c_11628,plain,
! [X0: $i] :
( r1_tarski(sK22(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_253,c_300]) ).
tcf(c_11633,plain,
( m1_subset_1(sK22(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_11626,c_8214]) ).
tcf(c_11634,plain,
m1_subset_1(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11633,c_8260]) ).
tcf(c_11642,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_299,c_298]) ).
tcf(c_11643,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) ),
inference(superposition,[status(thm)],[c_172,c_298]) ).
tcf(c_11652,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_17,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8228,c_298]) ).
tcf(c_11654,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_298]) ).
tcf(c_11655,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8238,c_298]) ).
tcf(c_11656,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8240,c_298]) ).
tcf(c_11658,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8248,c_298]) ).
tcf(c_11659,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8250,c_298]) ).
tcf(c_11660,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8253,c_298]) ).
tcf(c_11661,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8255,c_298]) ).
tcf(c_11662,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK4,iPr_def_29) ),
inference(superposition,[status(thm)],[c_8258,c_298]) ).
tcf(c_11665,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_11492,c_298]) ).
tcf(c_11668,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11506,c_298]) ).
tcf(c_11669,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_11042,c_298]) ).
tcf(c_11670,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_11041,c_298]) ).
tcf(c_11677,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_11111,c_298]) ).
tcf(c_11679,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(k1_xboole_0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_11129,c_298]) ).
tcf(c_11680,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(k1_xboole_0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_11130,c_298]) ).
tcf(c_11681,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(k1_xboole_0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_11131,c_298]) ).
tcf(c_11683,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_11610,c_298]) ).
tcf(c_11685,plain,
r2_hidden(k1_xboole_0,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_11681,c_10934]) ).
tcf(c_11686,plain,
r2_hidden(k1_xboole_0,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11680,c_10846]) ).
tcf(c_11687,plain,
r2_hidden(k1_xboole_0,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11679,c_10751]) ).
tcf(c_11688,plain,
r2_hidden(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11668,c_10846]) ).
tcf(c_11689,plain,
r2_hidden(sK4,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_11662,c_10934]) ).
tcf(c_11690,plain,
r2_hidden(iPr_def_18,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11661,c_10846]) ).
tcf(c_11691,plain,
r2_hidden(iPr_def_27,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_11660,c_8235]) ).
tcf(c_11692,plain,
r2_hidden(iPr_def_26,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11659,c_10751]) ).
tcf(c_11693,plain,
r2_hidden(iPr_def_25,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11658,c_10751]) ).
tcf(c_11694,plain,
r2_hidden(iPr_def_24,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11656,c_10846]) ).
tcf(c_11695,plain,
r2_hidden(iPr_def_23,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11655,c_10846]) ).
tcf(c_11696,plain,
r2_hidden(iPr_def_22,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11654,c_10846]) ).
tcf(c_11697,plain,
r2_hidden(iPr_def_17,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11652,c_10751]) ).
tcf(c_11698,plain,
r2_hidden(sK16(iPr_def_20),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11670,c_10846]) ).
tcf(c_11699,plain,
r2_hidden(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11669,c_10751]) ).
tcf(c_11711,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_11683,c_10846]) ).
tcf(c_11714,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_11665,c_10846]) ).
tcf(c_11717,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11642,c_185]) ).
tcf(c_11720,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_11677,c_8229]) ).
tcf(c_11773,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_8231]) ).
tcf(c_11774,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_8231]) ).
tcf(c_11775,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_8231]) ).
tcf(c_11828,plain,
( v1_tsp_1(sK22(sK2),sK2)
| ~ v1_xboole_0(sK22(sK2)) ),
inference(superposition,[status(thm)],[c_11634,c_11140]) ).
tcf(c_11889,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_8233]) ).
tcf(c_11891,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_8233]) ).
tcf(c_11893,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_8233]) ).
tcf(c_11925,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_6684]) ).
tcf(c_11933,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_11925,c_8214]) ).
tcf(c_11934,plain,
m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11933,c_8260]) ).
tcf(c_11949,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_6688]) ).
tcf(c_11957,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_11949,c_8214]) ).
tcf(c_11958,plain,
m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_11957,c_8260]) ).
tcf(c_11983,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_8262,c_151]) ).
tcf(c_11986,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_11021,c_151]) ).
tcf(c_11989,plain,
! [X0: $i] :
( r2_hidden(iPr_def_32,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11688,c_151]) ).
tcf(c_11990,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11687,c_151]) ).
tcf(c_11991,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11686,c_151]) ).
tcf(c_11992,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_11685,c_151]) ).
tcf(c_12069,plain,
! [X0: $i] :
( r2_hidden(sK4,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_11689,c_151]) ).
tcf(c_12084,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11690,c_151]) ).
tcf(c_12099,plain,
! [X0: $i] :
( r2_hidden(iPr_def_26,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11692,c_151]) ).
tcf(c_12114,plain,
! [X0: $i] :
( r2_hidden(iPr_def_25,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11693,c_151]) ).
tcf(c_12158,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_11983,c_151]) ).
tcf(c_12164,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_11983,c_8245]) ).
tcf(c_12165,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_11983,c_8232]) ).
tcf(c_12224,plain,
! [X0: $i] :
( ~ v1_xboole_0(k1_xboole_0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_12248,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0)
| ~ m1_subset_1(sK12(X0),X0) ),
inference(instantiation,[status(thm)],[c_298]) ).
tcf(c_12369,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11694,c_151]) ).
tcf(c_12384,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_1177]) ).
tcf(c_12395,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_8211,c_240]) ).
tcf(c_12401,plain,
( m1_subset_1(sK17(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_12395,c_8212]) ).
tcf(c_12402,plain,
m1_subset_1(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12401,c_8256,c_8254]) ).
tcf(c_12418,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_8211,c_244]) ).
tcf(c_12424,plain,
( m1_subset_1(sK19(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_12418,c_8212]) ).
tcf(c_12425,plain,
m1_subset_1(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12424,c_8256,c_8254]) ).
tcf(c_12444,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_8211,c_275]) ).
tcf(c_12450,plain,
( m1_subset_1(sK25(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_12444,c_8212]) ).
tcf(c_12451,plain,
m1_subset_1(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12450,c_8256,c_8254]) ).
tcf(c_12464,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6660,c_8213]) ).
tcf(c_12527,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11695,c_151]) ).
tcf(c_12542,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11696,c_151]) ).
tcf(c_12557,plain,
! [X0: $i] :
( r2_hidden(iPr_def_17,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11697,c_151]) ).
tcf(c_12574,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_11698,c_151]) ).
tcf(c_12593,plain,
! [X0: $i] :
( ( sK24(X0) = k1_xboole_0 )
| ~ v1_xboole_0(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_12594,plain,
( ( sK24(sK2) = k1_xboole_0 )
| ~ v1_xboole_0(sK24(sK2)) ),
inference(instantiation,[status(thm)],[c_12593]) ).
tcf(c_12611,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k1_xboole_0)
| ( X0 != k1_xboole_0 ) ),
inference(instantiation,[status(thm)],[c_8273]) ).
tcf(c_12680,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_8225,c_12158]) ).
tcf(c_12681,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_12680,c_8223]) ).
tcf(c_12682,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_12681,c_8253]) ).
tcf(c_12692,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11699,c_151]) ).
tcf(c_12758,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6740,c_8211]) ).
tcf(c_12770,plain,
k1_struct_0(sK3,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_11514,c_12758]) ).
tcf(c_12772,plain,
k1_tarski(iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_12770,c_8224]) ).
tcf(c_12938,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_6746,c_8211,c_8212]) ).
tcf(c_12945,plain,
( m1_subset_1(iPr_def_31,iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8224,c_12938]) ).
tcf(c_12948,plain,
m1_subset_1(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_12945,c_11514]) ).
tcf(c_12963,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_6658,c_8213]) ).
tcf(c_13034,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_8213,c_159]) ).
tcf(c_13035,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_8211,c_159]) ).
tcf(c_13041,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_13035,c_8211,c_8212]) ).
tcf(c_13042,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_13041,c_8256]) ).
tcf(c_13045,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_13034,c_8213,c_8214]) ).
tcf(c_13046,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_13045,c_8260]) ).
tcf(c_13063,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_31,iPr_def_19) ),
inference(superposition,[status(thm)],[c_12948,c_298]) ).
tcf(c_13065,plain,
r2_hidden(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_13063,c_10751]) ).
tcf(c_13068,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_13065,c_151]) ).
tcf(c_13147,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_10852,c_13046]) ).
tcf(c_13148,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_10958,c_13046]) ).
tcf(c_13291,plain,
! [X0: $i] :
( v1_tsp_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_253,c_156]) ).
tcf(c_13304,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_8213,c_156]) ).
tcf(c_13326,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_13304,c_8214]) ).
tcf(c_13327,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_13326,c_8260]) ).
tcf(c_13466,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_6656,c_8211,c_8213]) ).
tcf(c_13473,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_172,c_13466]) ).
tcf(c_13474,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_8231,c_13466]) ).
tcf(c_13529,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_8213,c_153]) ).
tcf(c_13549,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_13529,c_8214]) ).
tcf(c_13550,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_13549,c_8260]) ).
tcf(c_13724,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_8213,c_154]) ).
tcf(c_13740,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_13724,c_8214]) ).
tcf(c_13741,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_13740,c_8260]) ).
tcf(c_13905,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ~ v1_tsp_2(iPr_def_18,sK2) ),
inference(superposition,[status(thm)],[c_8255,c_13327]) ).
tcf(c_13924,plain,
v1_tsp_1(iPr_def_18,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13905,c_8257]) ).
tcf(c_14023,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_8230,c_8232]) ).
tcf(c_14057,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_13550,c_11300]) ).
tcf(c_14058,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_13550,c_10775]) ).
tcf(c_14082,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8242]) ).
tcf(c_14125,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_8243,c_8245]) ).
tcf(c_14207,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_8213,c_155]) ).
tcf(c_14225,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_14207,c_8213,c_8214]) ).
tcf(c_14226,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_14225,c_8260]) ).
tcf(c_14303,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_8213,c_157]) ).
tcf(c_14331,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_14303,c_8213,c_8214]) ).
tcf(c_14332,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_14331,c_8260]) ).
tcf(c_14497,plain,
~ v1_xboole_0(iPr_def_19),
inference(superposition,[status(thm)],[c_8212,c_185]) ).
tcf(c_14509,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(equality_resolution,[status(thm)],[c_8252]) ).
tcf(c_14520,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_8243,c_8233]) ).
tcf(c_14596,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_11399,c_14332]) ).
tcf(c_14605,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_14596,c_11130]) ).
tcf(c_14778,plain,
~ v1_xboole_0(iPr_def_21),
inference(superposition,[status(thm)],[c_8214,c_185]) ).
tcf(c_14794,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_12402,c_298]) ).
tcf(c_14796,plain,
r2_hidden(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_14794,c_10751]) ).
tcf(c_14804,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_14082,c_8233]) ).
tcf(c_14814,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_12425,c_298]) ).
tcf(c_14816,plain,
r2_hidden(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_14814,c_10751]) ).
tcf(c_14824,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_12451,c_298]) ).
tcf(c_14826,plain,
r2_hidden(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_14824,c_10751]) ).
tcf(c_14848,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_14509,c_8246]) ).
tcf(c_15022,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_14804,c_13147]) ).
tcf(c_15045,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_14848,c_10868,c_13042]) ).
tcf(c_15054,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_14796,c_151]) ).
tcf(c_15094,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_14816,c_151]) ).
tcf(c_15121,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_14826,c_151]) ).
tcf(c_15143,plain,
r1_tarski(sK12(iPr_def_19),iPr_def_18),
inference(superposition,[status(thm)],[c_8212,c_11348]) ).
tcf(c_15144,plain,
r1_tarski(sK12(iPr_def_21),iPr_def_20),
inference(superposition,[status(thm)],[c_8214,c_11348]) ).
tcf(c_15145,plain,
r1_tarski(sK12(iPr_def_29),iPr_def_28),
inference(superposition,[status(thm)],[c_8222,c_11348]) ).
tcf(c_15171,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_14023,c_13148]) ).
tcf(c_15180,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_15171,c_15022]) ).
tcf(c_15202,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_15144,c_14332]) ).
tcf(c_15203,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_15202,c_172]) ).
tcf(c_15279,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_14125,c_10727,c_13042]) ).
tcf(c_15290,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_8244,c_15279]) ).
tcf(c_15395,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_15290,c_13042,c_15290]) ).
tcf(c_15482,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_14057,c_14057,c_14226]) ).
tcf(c_15495,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_15482,c_14332]) ).
tcf(c_15538,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_14058,c_14058,c_14226]) ).
tcf(c_15655,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_8231,c_15180]) ).
tcf(c_15671,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_15495,c_14226,c_15495]) ).
tcf(c_16012,plain,
m1_subset_1(sK16(iPr_def_28),iPr_def_29),
inference(global_subsumption_just,[status(thm)],[c_11038,c_11038,c_11530]) ).
tcf(c_16014,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_16012,c_298]) ).
tcf(c_16015,plain,
r2_hidden(sK16(iPr_def_28),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_16014,c_10934]) ).
tcf(c_16016,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_16015,c_151]) ).
tcf(c_16183,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_12248]) ).
tcf(c_16184,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_11889]) ).
tcf(c_16185,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_12248]) ).
tcf(c_16186,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_11891]) ).
tcf(c_16187,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_12248]) ).
tcf(c_16188,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_11893]) ).
tcf(c_16475,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_11297,c_14332]) ).
tcf(c_16522,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_11643,c_151]) ).
tcf(c_16523,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(X0)) ),
inference(superposition,[status(thm)],[c_11643,c_60]) ).
tcf(c_16527,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_11643,c_8233]) ).
tcf(c_16769,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_13550,c_16475]) ).
tcf(c_16929,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_16769,c_14226,c_16769]) ).
tcf(c_17005,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_13550,c_14605]) ).
tcf(c_17061,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8230,c_304]) ).
tcf(c_17114,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_11331]) ).
tcf(c_17115,plain,
m1_subset_1(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_288,c_11331]) ).
tcf(c_17136,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_17115,c_298]) ).
tcf(c_17139,plain,
r2_hidden(iPr_def_18,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_17136,c_10751]) ).
tcf(c_17142,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_17139,c_151]) ).
tcf(c_17161,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11139,c_17114]) ).
tcf(c_17247,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_17005,c_14226,c_17005]) ).
tcf(c_17484,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_11332]) ).
tcf(c_17485,plain,
m1_subset_1(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_288,c_11332]) ).
tcf(c_17530,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_17485,c_298]) ).
tcf(c_17534,plain,
r2_hidden(iPr_def_20,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_17530,c_10846]) ).
tcf(c_17539,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_17061,c_11140,c_17484]) ).
tcf(c_17556,plain,
! [X0: $i] :
( r2_hidden(iPr_def_20,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_17534,c_151]) ).
tcf(c_17576,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_16929,c_17484]) ).
tcf(c_17837,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_11711,c_60]) ).
tcf(c_17879,plain,
m1_subset_1(iPr_def_28,iPr_def_29),
inference(superposition,[status(thm)],[c_288,c_11333]) ).
tcf(c_17921,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(iPr_def_28,iPr_def_29) ),
inference(superposition,[status(thm)],[c_17879,c_298]) ).
tcf(c_17922,plain,
r2_hidden(iPr_def_28,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_17921,c_10934]) ).
tcf(c_17923,plain,
! [X0: $i] :
( r2_hidden(iPr_def_28,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_17922,c_151]) ).
tcf(c_18012,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK22(X0) )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(sK22(X0)) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_18191,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_150,c_304]) ).
tcf(c_18225,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_11714,c_60]) ).
tcf(c_18321,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_13042,c_11358]) ).
tcf(c_18336,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_12938,c_11358]) ).
tcf(c_18337,plain,
r1_tarski(iPr_def_31,iPr_def_18),
inference(superposition,[status(thm)],[c_12948,c_11358]) ).
tcf(c_18545,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_11720,c_60]) ).
tcf(c_18633,plain,
r1_tarski(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_8255,c_11359]) ).
tcf(c_18634,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_13046,c_11359]) ).
tcf(c_18635,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_11492,c_11359]) ).
tcf(c_18636,plain,
r1_tarski(iPr_def_32,iPr_def_20),
inference(superposition,[status(thm)],[c_11506,c_11359]) ).
tcf(c_18649,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_14226,c_11359]) ).
tcf(c_18805,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8212,c_299]) ).
tcf(c_18826,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_18337,c_14332]) ).
tcf(c_18828,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_18826,c_13924,c_8255]) ).
tcf(c_19036,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_13741,c_11989]) ).
tcf(c_19052,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_13741,c_11990]) ).
tcf(c_19068,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_13741,c_11991]) ).
tcf(c_19117,plain,
r2_hidden(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_18636,c_11986]) ).
tcf(c_19174,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_19036,c_151]) ).
tcf(c_19218,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_19052,c_151]) ).
tcf(c_19262,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_19068,c_151]) ).
tcf(c_19330,plain,
m1_subset_1(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_19117,c_293]) ).
tcf(c_19351,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_19330,c_13466]) ).
tcf(c_19352,plain,
k4_tex_4(sK2,iPr_def_30) = k2_tex_4(sK2,iPr_def_30),
inference(superposition,[status(thm)],[c_19330,c_12963]) ).
tcf(c_19353,plain,
k1_struct_0(sK2,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_19330,c_12464]) ).
tcf(c_19354,plain,
k1_struct_0(sK2,iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_19353,c_12772]) ).
tcf(c_19367,plain,
( r2_hidden(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19354,c_11711]) ).
tcf(c_19369,plain,
( m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19354,c_11610]) ).
tcf(c_19370,plain,
m1_subset_1(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_19369,c_19330]) ).
tcf(c_19371,plain,
r2_hidden(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_19367,c_19330]) ).
tcf(c_19399,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_19371,c_151]) ).
tcf(c_19561,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_13741,c_11992]) ).
tcf(c_19605,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_13741,c_12069]) ).
tcf(c_19621,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_13741,c_12084]) ).
tcf(c_19677,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_19561,c_151]) ).
tcf(c_19776,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_19605,c_151]) ).
tcf(c_19827,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_19621,c_151]) ).
tcf(c_19864,plain,
m1_subset_1(sK12(iPr_def_22),iPr_def_22),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_19874,plain,
m1_subset_1(sK12(iPr_def_23),iPr_def_23),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_19879,plain,
( m1_subset_1(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_253]) ).
tcf(c_19886,plain,
( m1_subset_1(sK22(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_19879,c_8214]) ).
tcf(c_19887,plain,
m1_subset_1(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_19886,c_8260]) ).
tcf(c_19919,plain,
m1_subset_1(sK12(iPr_def_24),iPr_def_24),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_19969,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_13741,c_12099]) ).
tcf(c_19996,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_13741,c_12114]) ).
tcf(c_20182,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_19969,c_151]) ).
tcf(c_20222,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_19996,c_151]) ).
tcf(c_20374,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_13741,c_12369]) ).
tcf(c_20429,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_13741,c_12527]) ).
tcf(c_20507,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_20374,c_151]) ).
tcf(c_20575,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_20429,c_151]) ).
tcf(c_20795,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_13741,c_12542]) ).
tcf(c_20811,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_13741,c_12557]) ).
tcf(c_20827,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_13741,c_13068]) ).
tcf(c_20866,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_20795,c_151]) ).
tcf(c_20906,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_20811,c_151]) ).
tcf(c_20977,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_20827,c_151]) ).
tcf(c_21190,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_13741,c_17142]) ).
tcf(c_21206,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_13741,c_17556]) ).
tcf(c_21252,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_21190,c_151]) ).
tcf(c_21292,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_21206,c_151]) ).
tcf(c_21417,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_13741,c_17923]) ).
tcf(c_21449,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_13741,c_19399]) ).
tcf(c_21491,plain,
! [X0: $i] :
( ( sK22(sK14(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_11124]) ).
tcf(c_21492,plain,
! [X0: $i] :
( ( sK22(sK10(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_11124]) ).
tcf(c_21517,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_21417,c_151]) ).
tcf(c_21571,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_21449,c_151]) ).
tcf(c_21942,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_11628,c_14332]) ).
tcf(c_21958,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8212,c_11717]) ).
tcf(c_21960,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8222,c_11717]) ).
tcf(c_22042,plain,
r2_hidden(sK12(iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_15143,c_21958]) ).
tcf(c_22125,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_22042,c_151]) ).
tcf(c_22301,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_19887,c_15655]) ).
tcf(c_22370,plain,
r2_hidden(sK12(iPr_def_29),iPr_def_29),
inference(superposition,[status(thm)],[c_15145,c_21960]) ).
tcf(c_22441,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_22370,c_151]) ).
tcf(c_22469,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_12574,c_151]) ).
tcf(c_22480,plain,
( v1_xboole_0(sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK12(sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_12574,c_16523]) ).
tcf(c_22532,plain,
v1_tsp_1(sK22(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_22301,c_59,c_334,c_11828]) ).
tcf(c_22535,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_22532,c_14520]) ).
tcf(c_22539,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_22535,c_19887]) ).
tcf(c_22758,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_12692,c_293]) ).
tcf(c_22981,plain,
! [X0: $i] :
( ( k1_xboole_0 = sK22(X0) )
| ~ v1_xboole_0(k1_xboole_0)
| ~ v1_xboole_0(sK22(X0)) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_22982,plain,
( ( k1_xboole_0 = sK22(sK2) )
| ~ v1_xboole_0(k1_xboole_0)
| ~ v1_xboole_0(sK22(sK2)) ),
inference(instantiation,[status(thm)],[c_22981]) ).
tcf(c_23598,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_15054,c_293]) ).
tcf(c_23687,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_15094,c_293]) ).
tcf(c_23900,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_15121,c_293]) ).
tcf(c_23975,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_16016,c_293]) ).
tcf(c_24180,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_19352,c_11492]) ).
tcf(c_24185,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_19352,c_8262]) ).
tcf(c_24187,plain,
m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_24180,c_19330]) ).
tcf(c_24190,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_24185,c_19351]) ).
tcf(c_24191,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_24190,c_19330]) ).
tcf(c_24376,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_24191,c_151]) ).
tcf(c_24617,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_15203,c_15203,c_17485]) ).
tcf(c_24653,plain,
r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_24187,c_11359]) ).
tcf(c_24787,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_22125,c_293]) ).
tcf(c_24964,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_22441,c_293]) ).
tcf(c_25154,plain,
( r1_tarski(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_22758,c_11359]) ).
tcf(c_25879,plain,
( r1_tarski(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23598,c_11359]) ).
tcf(c_25981,plain,
( r1_tarski(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23687,c_11359]) ).
tcf(c_26116,plain,
( r1_tarski(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23900,c_11359]) ).
tcf(c_26196,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_12384]) ).
tcf(c_26201,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_12384]) ).
tcf(c_26228,plain,
( r1_tarski(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_23975,c_11359]) ).
tcf(c_26452,plain,
( r1_tarski(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_24787,c_11359]) ).
tcf(c_26800,plain,
( r1_tarski(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_24964,c_11359]) ).
tcf(c_27076,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_25154,c_14332]) ).
tcf(c_27078,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25154,c_11332]) ).
tcf(c_27083,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_27076,c_17485]) ).
tcf(c_29119,plain,
sK22(sK14(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_21491]) ).
tcf(c_29162,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_29119,c_21942]) ).
tcf(c_29166,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_29162,c_29119]) ).
tcf(c_29167,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_29166,c_11130,c_11958]) ).
tcf(c_29520,plain,
sK22(sK10(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_21492]) ).
tcf(c_29560,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_29520,c_21942]) ).
tcf(c_29564,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_29560,c_29520]) ).
tcf(c_29565,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_29564,c_11130,c_11934]) ).
tcf(c_29669,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_25879,c_14332]) ).
tcf(c_29671,plain,
( m1_subset_1(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25879,c_11332]) ).
tcf(c_29676,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_29669,c_17485]) ).
tcf(c_30449,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_25981,c_14332]) ).
tcf(c_30452,plain,
( m1_subset_1(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25981,c_11332]) ).
tcf(c_30459,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_30449,c_17485]) ).
tcf(c_33576,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_26116,c_14332]) ).
tcf(c_33579,plain,
( m1_subset_1(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26116,c_11332]) ).
tcf(c_33586,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_33576,c_17485]) ).
tcf(c_33730,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_26228,c_14332]) ).
tcf(c_33733,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26228,c_11332]) ).
tcf(c_33740,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_33730,c_17485]) ).
tcf(c_33831,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_13741,c_19174]) ).
tcf(c_33872,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_33831,c_13550,c_14226]) ).
tcf(c_33890,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_33872,c_304]) ).
tcf(c_33891,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_33872,c_293]) ).
tcf(c_33951,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_13741,c_19218]) ).
tcf(c_34002,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_33951,c_13550,c_14226]) ).
tcf(c_34020,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_34002,c_304]) ).
tcf(c_34021,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_34002,c_293]) ).
tcf(c_34213,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_26452,c_14332]) ).
tcf(c_34216,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26452,c_11332]) ).
tcf(c_34223,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_34213,c_17485]) ).
tcf(c_34362,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_13741,c_19262]) ).
tcf(c_34403,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_34362,c_13550,c_14226]) ).
tcf(c_34422,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_34403,c_293]) ).
tcf(c_34685,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_13741,c_19677]) ).
tcf(c_34740,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_34685,c_13550,c_14226]) ).
tcf(c_34758,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_34740,c_304]) ).
tcf(c_34759,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_34740,c_293]) ).
tcf(c_35350,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_26800,c_14332]) ).
tcf(c_35353,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_26800,c_11332]) ).
tcf(c_35360,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_35350,c_17485]) ).
tcf(c_35441,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_13741,c_19776]) ).
tcf(c_35492,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_35441,c_13550,c_14226]) ).
tcf(c_35511,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_35492,c_293]) ).
tcf(c_35585,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_13741,c_19827]) ).
tcf(c_36391,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_35585,c_13550,c_14226]) ).
tcf(c_36410,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_36391,c_293]) ).
tcf(c_36465,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_13741,c_20182]) ).
tcf(c_36520,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_36465,c_13550,c_14226]) ).
tcf(c_36539,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_36520,c_293]) ).
tcf(c_36628,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_13741,c_20222]) ).
tcf(c_36682,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_36628,c_13550,c_14226]) ).
tcf(c_36701,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_36682,c_293]) ).
tcf(c_37199,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_13741,c_20507]) ).
tcf(c_37240,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_37199,c_13550,c_14226]) ).
tcf(c_37259,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_37240,c_293]) ).
tcf(c_37341,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_13741,c_20575]) ).
tcf(c_37404,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_37341,c_13550,c_14226]) ).
tcf(c_37423,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_37404,c_293]) ).
tcf(c_37762,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_13741,c_20866]) ).
tcf(c_37827,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_37762,c_13550,c_14226]) ).
tcf(c_37846,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_37827,c_293]) ).
tcf(c_37947,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_13741,c_20906]) ).
tcf(c_38133,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_37947,c_13550,c_14226]) ).
tcf(c_38152,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_38133,c_293]) ).
tcf(c_38576,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_13741,c_20977]) ).
tcf(c_38635,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_38576,c_13550,c_14226]) ).
tcf(c_38654,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_38635,c_293]) ).
tcf(c_38709,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_13741,c_21252]) ).
tcf(c_38764,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_38709,c_13550,c_14226]) ).
tcf(c_38783,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_38764,c_293]) ).
tcf(c_38845,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_13741,c_21292]) ).
tcf(c_39058,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_38845,c_13550,c_14226]) ).
tcf(c_39077,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_39058,c_293]) ).
tcf(c_39142,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_13741,c_21517]) ).
tcf(c_39183,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_39142,c_13550,c_14226]) ).
tcf(c_39202,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_39183,c_293]) ).
tcf(c_39257,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_13741,c_21571]) ).
tcf(c_39327,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_39257,c_13550,c_14226]) ).
tcf(c_39346,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_39327,c_293]) ).
tcf(c_39434,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_16522,c_304]) ).
tcf(c_40655,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_19351,c_11720]) ).
tcf(c_40665,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_19351,c_11111]) ).
tcf(c_40670,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_40665,c_19330]) ).
tcf(c_40671,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_40655,c_19330]) ).
tcf(c_40879,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_40670,c_12758]) ).
tcf(c_40880,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_40671,c_151]) ).
tcf(c_40992,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_40880,c_293]) ).
tcf(c_41228,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_40992,c_12464]) ).
tcf(c_41247,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_41228,c_18633]) ).
tcf(c_41908,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_13473,c_11720]) ).
tcf(c_41924,plain,
r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_41908,c_172]) ).
tcf(c_42418,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_41924,c_151]) ).
tcf(c_42489,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_8236,c_13474]) ).
tcf(c_42490,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_8238,c_13474]) ).
tcf(c_42491,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_8240,c_13474]) ).
tcf(c_43772,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_40879,c_18336]) ).
tcf(c_43778,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_43772,c_40670]) ).
tcf(c_44145,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_43778,c_14332]) ).
tcf(c_44149,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_44145,c_13924,c_8255]) ).
tcf(c_45005,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_18191,c_18805]) ).
tcf(c_45346,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_41247,c_17837]) ).
tcf(c_45347,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_41247,c_11711]) ).
tcf(c_45349,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_41247,c_11610]) ).
tcf(c_45823,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_45005,c_22539]) ).
tcf(c_46933,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_42418,c_293]) ).
tcf(c_48247,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_46933,c_13466]) ).
tcf(c_48248,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_46933,c_12963]) ).
tcf(c_48249,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_46933,c_12464]) ).
tcf(c_48268,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_48249,c_18633]) ).
tcf(c_48272,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_48248,c_18633]) ).
tcf(c_48275,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_48247,c_18633]) ).
tcf(c_48518,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_150,c_1176]) ).
tcf(c_50084,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150,c_1177]) ).
tcf(c_50130,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_11983,c_1177]) ).
tcf(c_50524,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_11348,c_50084]) ).
tcf(c_50952,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_13741,c_50130]) ).
tcf(c_51086,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_50952,c_11492]) ).
tcf(c_51573,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_13741,c_12682]) ).
tcf(c_52125,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_51573,c_1177]) ).
tcf(c_52126,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_51573,c_1176]) ).
tcf(c_52127,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_51573,c_151]) ).
tcf(c_53308,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_24653,c_24376]) ).
tcf(c_53514,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_53308,c_293]) ).
tcf(c_57441,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_50524,c_14332]) ).
tcf(c_57447,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_50524,c_11332]) ).
tcf(c_57536,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_57441,c_57447,c_57441]) ).
tcf(c_58251,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_12384]) ).
tcf(c_59082,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_42489,c_16527]) ).
tcf(c_59085,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_42490,c_16527]) ).
tcf(c_59088,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_42491,c_16527]) ).
tcf(c_59108,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_13550,c_16527]) ).
tcf(c_59128,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_59088,c_8241,c_8240]) ).
tcf(c_59131,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_59085,c_8239,c_8238]) ).
tcf(c_59134,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_59082,c_8237,c_8236]) ).
tcf(c_59451,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_48268,c_17837]) ).
tcf(c_59452,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_48268,c_11711]) ).
tcf(c_60896,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_59108,c_14226,c_59108]) ).
tcf(c_61589,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_29520,c_13291]) ).
tcf(c_61590,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_29119,c_13291]) ).
tcf(c_61653,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_61590,c_29119]) ).
tcf(c_61657,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_61589,c_29520]) ).
tcf(c_62373,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_48272,c_51086]) ).
tcf(c_62374,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_48272,c_50130]) ).
tcf(c_62381,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_48272,c_18225]) ).
tcf(c_62382,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_48272,c_11714]) ).
tcf(c_62399,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_48272,c_11492]) ).
tcf(c_62401,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_48272,c_11141]) ).
tcf(c_62404,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_48272,c_8262]) ).
tcf(c_62418,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_62404,c_48275]) ).
tcf(c_62504,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_62373,c_48272]) ).
tcf(c_62927,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(superposition,[status(thm)],[c_62418,c_1176]) ).
tcf(c_62928,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(superposition,[status(thm)],[c_62418,c_151]) ).
tcf(c_64696,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_27083,c_27078,c_27083]) ).
tcf(c_64774,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_13741,c_22469]) ).
tcf(c_68197,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_64774,c_1177]) ).
tcf(c_72309,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_48275,c_18545]) ).
tcf(c_72314,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_48275,c_11720]) ).
tcf(c_78753,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_48518,c_11301]) ).
tcf(c_78754,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_48518,c_11302]) ).
tcf(c_80618,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_8243,c_8232]) ).
tcf(c_80638,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8242]) ).
tcf(c_80650,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_8230,c_8245]) ).
tcf(c_81122,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_150,c_8232]) ).
tcf(c_81273,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_172,c_300]) ).
tcf(c_81342,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_81122,c_18634,c_78754]) ).
tcf(c_81585,plain,
! [X0: $i,X1: $i] :
( ( sK22(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_305]) ).
tcf(c_81626,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8260,c_81585]) ).
tcf(c_81878,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_8243,c_151]) ).
tcf(c_81879,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_8230,c_151]) ).
tcf(c_81880,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_8262,c_151]) ).
tcf(c_81881,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_80638,c_151]) ).
tcf(c_82037,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_81880,c_293]) ).
tcf(c_82808,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_159,c_300]) ).
tcf(c_83238,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_6656,c_8211,c_8213]) ).
tcf(c_83245,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_172,c_83238]) ).
tcf(c_83862,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_8213,c_157]) ).
tcf(c_83878,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_83862,c_8213,c_8214]) ).
tcf(c_83879,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_83878,c_8260]) ).
tcf(c_84057,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_81342,c_83879]) ).
tcf(c_85497,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_84057,c_13046,c_84057]) ).
tcf(c_87384,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_82808,c_81881]) ).
tcf(c_87396,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_87384,c_8213]) ).
tcf(c_87397,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87396,c_8260]) ).
tcf(c_87467,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_82037,c_87397]) ).
tcf(c_87893,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_87467,c_18635,c_87467]) ).
tcf(c_87906,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_87893,c_293]) ).
tcf(c_91002,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_83245,c_87906]) ).
tcf(c_91012,plain,
m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_91002,c_172]) ).
tcf(c_106113,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_81878,c_293]) ).
tcf(c_106946,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_81879,c_304]) ).
tcf(c_106947,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_81879,c_293]) ).
tcf(c_107231,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_59128,c_8262]) ).
tcf(c_108005,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_107231,c_8240,c_8241,c_11775,c_16187,c_16188,c_19919,c_107231]) ).
tcf(c_108179,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_59131,c_8262]) ).
tcf(c_109049,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_108179,c_8238,c_8239,c_11774,c_16185,c_16186,c_19874,c_108179]) ).
tcf(c_109241,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_59134,c_8262]) ).
tcf(c_109873,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_109241,c_8236,c_8237,c_11773,c_16183,c_16184,c_19864,c_109241]) ).
tcf(c_110246,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_106946,c_17539,c_39434]) ).
tcf(c_110269,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_81273,c_110246]) ).
tcf(c_111590,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_106113,c_80618]) ).
tcf(c_111965,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_29676,c_29671,c_29676]) ).
tcf(c_112212,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_30459,c_30452,c_30459]) ).
tcf(c_112249,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_33586,c_33579,c_33586]) ).
tcf(c_112259,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_33740,c_33733,c_33740]) ).
tcf(c_112297,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_33891,c_298]) ).
tcf(c_112724,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_34021,c_298]) ).
tcf(c_112731,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_34223,c_34216,c_34223]) ).
tcf(c_112751,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_34422,c_298]) ).
tcf(c_112786,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_34759,c_298]) ).
tcf(c_112793,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_35360,c_35353,c_35360]) ).
tcf(c_112813,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_35511,c_298]) ).
tcf(c_113281,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_36410,c_298]) ).
tcf(c_113298,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_36539,c_298]) ).
tcf(c_113315,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_36701,c_298]) ).
tcf(c_113332,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_37259,c_298]) ).
tcf(c_113349,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_37423,c_298]) ).
tcf(c_113366,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_37846,c_298]) ).
tcf(c_113383,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_38152,c_298]) ).
tcf(c_113400,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_38654,c_298]) ).
tcf(c_113735,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_38783,c_298]) ).
tcf(c_113752,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_39077,c_298]) ).
tcf(c_113769,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_39202,c_298]) ).
tcf(c_113786,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_39346,c_298]) ).
tcf(c_113853,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1)
| ~ r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),X1) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_116236,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_62374,c_62374,c_91012]) ).
tcf(c_116246,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_288,c_116236]) ).
tcf(c_116247,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_13741,c_116236]) ).
tcf(c_116269,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(global_subsumption_just,[status(thm)],[c_116247,c_62504,c_91012]) ).
tcf(c_116281,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(superposition,[status(thm)],[c_288,c_116269]) ).
tcf(c_117908,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)
| ~ r1_tarski(k2_tex_4(sK3,X0),iPr_def_18)
| ~ m1_subset_1(k2_tex_4(sK3,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_106947,c_80650]) ).
tcf(c_120460,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_13741,c_52125]) ).
tcf(c_120495,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_120460,c_13550,c_14226,c_120460]) ).
tcf(c_120562,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_13741,c_52126]) ).
tcf(c_120634,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_120562,c_13550,c_14226,c_120562]) ).
tcf(c_120649,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_120634,c_298]) ).
tcf(c_120672,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_13741,c_52127]) ).
tcf(c_120706,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_120672,c_120495,c_120649]) ).
tcf(c_120843,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(global_subsumption_just,[status(thm)],[c_62927,c_62927,c_91012]) ).
tcf(c_120852,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_13741,c_120843]) ).
tcf(c_120854,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_18634,c_120843]) ).
tcf(c_120868,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_120852,c_62399,c_91012,c_120852]) ).
tcf(c_121012,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(global_subsumption_just,[status(thm)],[c_62928,c_62928,c_91012]) ).
tcf(c_121021,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_13741,c_121012]) ).
tcf(c_121035,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_121021,c_62399,c_91012,c_121021]) ).
tcf(c_122588,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_13741,c_68197]) ).
tcf(c_123092,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_122588,c_13550,c_14226,c_122588]) ).
tcf(c_134645,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18)
| ~ r2_hidden(k8_funct_2(iPr_def_20,iPr_def_18,sK4,X0),iPr_def_18) ),
inference(instantiation,[status(thm)],[c_113853]) ).
tcf(c_151113,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ~ r2_hidden(iPr_def_24,iPr_def_21)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_151643,plain,
! [X0: $i] :
( ~ r2_hidden(iPr_def_24,X0)
| ~ r2_hidden(X0,iPr_def_24) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_151660,plain,
( r2_hidden(iPr_def_24,iPr_def_24)
| ~ r1_tarski(iPr_def_21,iPr_def_24)
| ~ r2_hidden(iPr_def_24,iPr_def_21) ),
inference(instantiation,[status(thm)],[c_151113]) ).
tcf(c_152946,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(k1_xboole_0,X0)
| ~ v1_tsp_2(X2,X1)
| ( k1_xboole_0 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_8281]) ).
tcf(c_155033,plain,
~ r2_hidden(iPr_def_24,iPr_def_24),
inference(instantiation,[status(thm)],[c_151643]) ).
tcf(c_164538,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_2(k1_xboole_0,X0)
| ~ v1_tsp_2(sK22(X2),X1)
| ( k1_xboole_0 != sK22(X2) )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_152946]) ).
tcf(c_164539,plain,
( v1_tsp_2(k1_xboole_0,sK2)
| ~ v1_tsp_2(sK22(sK2),sK2)
| ( k1_xboole_0 != sK22(sK2) )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_164538]) ).
tcf(c_167582,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_8243,c_8232]) ).
tcf(c_167583,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_8230,c_8232]) ).
tcf(c_167602,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(equality_resolution,[status(thm)],[c_8242]) ).
tcf(c_167613,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_8243,c_8245]) ).
tcf(c_167614,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_8230,c_8245]) ).
tcf(c_167634,plain,
m1_subset_1(sK18(iPr_def_18),iPr_def_19),
inference(superposition,[status(thm)],[c_8212,c_242]) ).
tcf(c_167647,plain,
! [X0: $i] :
( r2_hidden(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(equality_resolution,[status(thm)],[c_8252]) ).
tcf(c_167658,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_8243,c_8233]) ).
tcf(c_167660,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_8262,c_8233]) ).
tcf(c_167670,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_167660,c_11499]) ).
tcf(c_167693,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_8230,c_8246]) ).
tcf(c_167694,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_8262,c_8246]) ).
tcf(c_167724,plain,
m1_subset_1(sK18(iPr_def_20),iPr_def_21),
inference(superposition,[status(thm)],[c_8214,c_242]) ).
tcf(c_167730,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_167602,c_8246]) ).
tcf(c_167731,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_167602,c_8233]) ).
tcf(c_167745,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_167647,c_8246]) ).
tcf(c_167746,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_167647,c_8233]) ).
tcf(c_167764,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_167731,c_13147]) ).
tcf(c_167772,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_167745,c_15045]) ).
tcf(c_167808,plain,
m1_subset_1(sK18(iPr_def_28),iPr_def_29),
inference(superposition,[status(thm)],[c_8222,c_242]) ).
tcf(c_167809,plain,
~ v1_xboole_0(iPr_def_29),
inference(superposition,[status(thm)],[c_8222,c_185]) ).
tcf(c_167818,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_167582,c_18634,c_111590]) ).
tcf(c_167829,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_167583,c_13148]) ).
tcf(c_167837,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_167829,c_167658]) ).
tcf(c_167838,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_167829,c_167764]) ).
tcf(c_167848,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_167613,c_15395]) ).
tcf(c_167856,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_167848,c_167693]) ).
tcf(c_167857,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_167848,c_167772]) ).
tcf(c_167867,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) ),
inference(global_subsumption_just,[status(thm)],[c_167614,c_18321,c_117908]) ).
tcf(c_167884,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_172,c_167838]) ).
tcf(c_167885,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_8231,c_167838]) ).
tcf(c_167886,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_8253,c_167838]) ).
tcf(c_167887,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_167886,c_8225]) ).
tcf(c_167904,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_172,c_167885]) ).
tcf(c_167905,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_8236,c_167885]) ).
tcf(c_167906,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_8238,c_167885]) ).
tcf(c_167907,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_8240,c_167885]) ).
tcf(c_167908,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_8255,c_167885]) ).
tcf(c_167910,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_167724,c_167885]) ).
tcf(c_167960,plain,
m1_subset_1(sK13(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8221,c_4078]) ).
tcf(c_167961,plain,
m1_subset_1(sK11(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8221,c_4067]) ).
tcf(c_167962,plain,
m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_29),
inference(light_normalisation,[status(thm)],[c_167961,c_8222]) ).
tcf(c_167963,plain,
m1_subset_1(sK13(iPr_def_20,iPr_def_18),iPr_def_29),
inference(light_normalisation,[status(thm)],[c_167960,c_8222]) ).
tcf(c_167964,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_8225,c_167694]) ).
tcf(c_167965,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_8225,c_167670]) ).
tcf(c_167966,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_8225,c_8262]) ).
tcf(c_167967,plain,
( r2_hidden(iPr_def_30,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_167966,c_8223]) ).
tcf(c_167968,plain,
r2_hidden(iPr_def_30,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_167967,c_8253]) ).
tcf(c_167969,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_167965,c_8223,c_8225]) ).
tcf(c_167970,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_167969,c_8253]) ).
tcf(c_167973,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_167964,c_8223,c_8224,c_8225]) ).
tcf(c_167974,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_167973,c_8253]) ).
tcf(c_167978,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_167968,c_8246]) ).
tcf(c_167987,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_167905,c_167658]) ).
tcf(c_167988,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_167987,c_8236]) ).
tcf(c_168000,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_167906,c_167658]) ).
tcf(c_168001,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_168000,c_8238]) ).
tcf(c_168013,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_167907,c_167658]) ).
tcf(c_168014,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_168013,c_8240]) ).
tcf(c_168060,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_6654,c_8211,c_8213]) ).
tcf(c_168071,plain,
( v1_xboole_0(iPr_def_18)
| m1_subset_1(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_8212,c_238]) ).
tcf(c_168072,plain,
( v1_xboole_0(iPr_def_20)
| m1_subset_1(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_8214,c_238]) ).
tcf(c_168073,plain,
( v1_xboole_0(iPr_def_28)
| m1_subset_1(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_8222,c_238]) ).
tcf(c_168076,plain,
m1_subset_1(sK16(iPr_def_20),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168072,c_8235]) ).
tcf(c_168077,plain,
m1_subset_1(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168071,c_8229]) ).
tcf(c_168082,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_8243,c_293]) ).
tcf(c_168083,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_8230,c_293]) ).
tcf(c_168084,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_8262,c_293]) ).
tcf(c_168085,plain,
! [X0: $i] :
( m1_subset_1(X0,k2_tex_4(sK2,X0))
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_167602,c_293]) ).
tcf(c_168086,plain,
! [X0: $i] :
( m1_subset_1(X0,k2_tex_4(sK3,X0))
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_167647,c_293]) ).
tcf(c_168087,plain,
m1_subset_1(iPr_def_30,iPr_def_32),
inference(superposition,[status(thm)],[c_167968,c_293]) ).
tcf(c_168105,plain,
! [X0: $i] : sK18(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_243,c_303]) ).
tcf(c_168106,plain,
! [X0: $i] :
( ( sK22(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_303]) ).
tcf(c_168109,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_242,c_168105]) ).
tcf(c_168111,plain,
m1_subset_1(k1_xboole_0,iPr_def_19),
inference(demodulation,[status(thm)],[c_167634,c_168105]) ).
tcf(c_168112,plain,
m1_subset_1(k1_xboole_0,iPr_def_21),
inference(demodulation,[status(thm)],[c_167724,c_168105]) ).
tcf(c_168113,plain,
m1_subset_1(k1_xboole_0,iPr_def_29),
inference(demodulation,[status(thm)],[c_167808,c_168105]) ).
tcf(c_168118,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8243,c_304]) ).
tcf(c_168119,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8230,c_304]) ).
tcf(c_168120,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_8262,c_304]) ).
tcf(c_168121,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k2_tex_4(sK2,X0)) ),
inference(superposition,[status(thm)],[c_167602,c_304]) ).
tcf(c_168122,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_xboole_0(k2_tex_4(sK3,X0)) ),
inference(superposition,[status(thm)],[c_167647,c_304]) ).
tcf(c_168123,plain,
~ v1_xboole_0(iPr_def_32),
inference(superposition,[status(thm)],[c_167968,c_304]) ).
tcf(c_168136,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_168112,c_167885]) ).
tcf(c_168149,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_8225,c_168084]) ).
tcf(c_168150,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_168149,c_8223]) ).
tcf(c_168151,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_168076,c_167885]) ).
tcf(c_168155,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK3)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168118,c_17161]) ).
tcf(c_168161,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_168155,c_167693]) ).
tcf(c_168171,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168119,c_17539]) ).
tcf(c_168177,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_168171,c_167658]) ).
tcf(c_168193,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_168082,c_167885]) ).
tcf(c_168194,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_168082,c_167838]) ).
tcf(c_168210,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_168083,c_167885]) ).
tcf(c_168211,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_168083,c_167838]) ).
tcf(c_168221,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_6662,c_8213,c_8214]) ).
tcf(c_168228,plain,
( m1_subset_1(iPr_def_32,iPr_def_21)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8225,c_168221]) ).
tcf(c_168229,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_168221,c_167885]) ).
tcf(c_168230,plain,
m1_subset_1(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168228,c_8253]) ).
tcf(c_168239,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_8243,c_60]) ).
tcf(c_168240,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_8230,c_60]) ).
tcf(c_168241,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_8262,c_60]) ).
tcf(c_168242,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(k2_tex_4(sK2,X0),X0) ),
inference(superposition,[status(thm)],[c_167602,c_60]) ).
tcf(c_168243,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ r2_hidden(k2_tex_4(sK3,X0),X0) ),
inference(superposition,[status(thm)],[c_167647,c_60]) ).
tcf(c_168244,plain,
~ r2_hidden(iPr_def_32,iPr_def_30),
inference(superposition,[status(thm)],[c_167968,c_60]) ).
tcf(c_168257,plain,
! [X0: $i] : k3_xboole_0(k1_xboole_0,X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_297,c_143]) ).
tcf(c_168265,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK6(X0,X1)) ),
inference(superposition,[status(thm)],[c_150,c_60]) ).
tcf(c_168266,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_150,c_304]) ).
tcf(c_168267,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| m1_subset_1(sK6(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_150,c_293]) ).
tcf(c_168268,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_150,c_8246]) ).
tcf(c_168269,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_150,c_8233]) ).
tcf(c_168270,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_150,c_8245]) ).
tcf(c_168271,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_150,c_8232]) ).
tcf(c_168294,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_168230,c_167885]) ).
tcf(c_168305,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_8225,c_168241]) ).
tcf(c_168306,plain,
( ~ m1_subset_1(iPr_def_27,iPr_def_20)
| ~ r2_hidden(iPr_def_32,iPr_def_30) ),
inference(light_normalisation,[status(thm)],[c_168305,c_8223]) ).
tcf(c_168327,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_168155,c_168268]) ).
tcf(c_168328,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_167848,c_168268]) ).
tcf(c_168352,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_168171,c_168269]) ).
tcf(c_168353,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_167829,c_168269]) ).
tcf(c_168354,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_167905,c_168269]) ).
tcf(c_168355,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_167906,c_168269]) ).
tcf(c_168356,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_167907,c_168269]) ).
tcf(c_168370,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_168356,c_8240]) ).
tcf(c_168375,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_168355,c_8238]) ).
tcf(c_168380,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_168354,c_8236]) ).
tcf(c_168389,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_168270,c_18321,c_78753]) ).
tcf(c_168397,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_168271,c_18634,c_78754]) ).
tcf(c_168405,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_6666,c_8213,c_8214]) ).
tcf(c_168412,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_168405,c_167885]) ).
tcf(c_168421,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8212,c_299]) ).
tcf(c_168422,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8214,c_299]) ).
tcf(c_168423,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8222,c_299]) ).
tcf(c_168435,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_172,c_300]) ).
tcf(c_168436,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK16(X0),X0) ),
inference(superposition,[status(thm)],[c_238,c_300]) ).
tcf(c_168438,plain,
! [X0: $i,X1: $i] : r1_tarski(sK11(X0,X1),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_4067,c_300]) ).
tcf(c_168439,plain,
! [X0: $i,X1: $i] : r1_tarski(sK13(X0,X1),k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_4078,c_300]) ).
tcf(c_168440,plain,
r1_tarski(sK23(sK20),u1_struct_0(sK20)),
inference(superposition,[status(thm)],[c_6252,c_300]) ).
tcf(c_168441,plain,
( r1_tarski(sK26(sK20),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(superposition,[status(thm)],[c_6233,c_300]) ).
tcf(c_168442,plain,
( r1_tarski(sK21(sK20),u1_struct_0(sK20))
| ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20) ),
inference(superposition,[status(thm)],[c_6269,c_300]) ).
tcf(c_168443,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_168082,c_300]) ).
tcf(c_168444,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_168083,c_300]) ).
tcf(c_168445,plain,
! [X0: $i] : r1_tarski(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_168109,c_300]) ).
tcf(c_168446,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_18)
| ~ m1_subset_1(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8212,c_300]) ).
tcf(c_168447,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8214,c_300]) ).
tcf(c_168448,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_28)
| ~ m1_subset_1(X0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_8222,c_300]) ).
tcf(c_168472,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_8223,c_168241]) ).
tcf(c_168473,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_8223,c_168084]) ).
tcf(c_168474,plain,
( m1_subset_1(iPr_def_30,iPr_def_18)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8223,c_168060]) ).
tcf(c_168475,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_8223,c_8262]) ).
tcf(c_168476,plain,
m1_subset_1(iPr_def_30,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_168474,c_8253]) ).
tcf(c_168480,plain,
r1_tarski(sK12(iPr_def_19),iPr_def_18),
inference(superposition,[status(thm)],[c_8212,c_168435]) ).
tcf(c_168481,plain,
r1_tarski(sK12(iPr_def_21),iPr_def_20),
inference(superposition,[status(thm)],[c_8214,c_168435]) ).
tcf(c_168482,plain,
r1_tarski(sK12(iPr_def_29),iPr_def_28),
inference(superposition,[status(thm)],[c_8222,c_168435]) ).
tcf(c_168535,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_6684]) ).
tcf(c_168536,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_6684]) ).
tcf(c_168537,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK10(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6684,c_300]) ).
tcf(c_168540,plain,
( m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_168536,c_8212]) ).
tcf(c_168541,plain,
m1_subset_1(u1_struct_0(sK10(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168540,c_8256]) ).
tcf(c_168542,plain,
( m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_168535,c_8214]) ).
tcf(c_168543,plain,
m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168542,c_8260]) ).
tcf(c_168555,plain,
( v1_xboole_0(iPr_def_20)
| v1_xboole_0(iPr_def_18)
| ~ v1_xboole_0(iPr_def_28) ),
inference(superposition,[status(thm)],[c_8221,c_217]) ).
tcf(c_168556,plain,
~ v1_xboole_0(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_168555,c_8235,c_8229]) ).
tcf(c_168561,plain,
( m1_subset_1(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_253]) ).
tcf(c_168562,plain,
( m1_subset_1(sK22(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_253]) ).
tcf(c_168563,plain,
! [X0: $i] :
( r1_tarski(sK22(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_253,c_300]) ).
tcf(c_168566,plain,
( m1_subset_1(sK22(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_168562,c_8212]) ).
tcf(c_168567,plain,
m1_subset_1(sK22(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168566,c_8256]) ).
tcf(c_168568,plain,
( m1_subset_1(sK22(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_168561,c_8214]) ).
tcf(c_168569,plain,
m1_subset_1(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168568,c_8260]) ).
tcf(c_168576,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_299,c_298]) ).
tcf(c_168577,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) ),
inference(superposition,[status(thm)],[c_172,c_298]) ).
tcf(c_168578,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_238,c_298]) ).
tcf(c_168579,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_253,c_298]) ).
tcf(c_168581,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_4067,c_298]) ).
tcf(c_168582,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_4078,c_298]) ).
tcf(c_168583,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_6684,c_298]) ).
tcf(c_168584,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_6252,c_298]) ).
tcf(c_168585,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_6233,c_298]) ).
tcf(c_168586,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_6269,c_298]) ).
tcf(c_168587,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_17,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8228,c_298]) ).
tcf(c_168588,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_8231,c_298]) ).
tcf(c_168589,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8236,c_298]) ).
tcf(c_168590,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8238,c_298]) ).
tcf(c_168591,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8240,c_298]) ).
tcf(c_168592,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_8244,c_298]) ).
tcf(c_168593,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8248,c_298]) ).
tcf(c_168594,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_8250,c_298]) ).
tcf(c_168595,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8253,c_298]) ).
tcf(c_168596,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_8255,c_298]) ).
tcf(c_168597,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK4,iPr_def_29) ),
inference(superposition,[status(thm)],[c_8258,c_298]) ).
tcf(c_168600,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_168221,c_298]) ).
tcf(c_168601,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_29) ),
inference(superposition,[status(thm)],[c_167962,c_298]) ).
tcf(c_168602,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_29) ),
inference(superposition,[status(thm)],[c_167963,c_298]) ).
tcf(c_168603,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_32,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168230,c_298]) ).
tcf(c_168604,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK16(iPr_def_18),iPr_def_19) ),
inference(superposition,[status(thm)],[c_168077,c_298]) ).
tcf(c_168605,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK16(iPr_def_20),iPr_def_21) ),
inference(superposition,[status(thm)],[c_168076,c_298]) ).
tcf(c_168612,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_168060,c_298]) ).
tcf(c_168613,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_168109,c_298]) ).
tcf(c_168614,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(k1_xboole_0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_168111,c_298]) ).
tcf(c_168615,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(k1_xboole_0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_168112,c_298]) ).
tcf(c_168616,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(k1_xboole_0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_168113,c_298]) ).
tcf(c_168617,plain,
( v1_xboole_0(iPr_def_18)
| r2_hidden(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_168476,c_298]) ).
tcf(c_168618,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_168405,c_298]) ).
tcf(c_168619,plain,
r2_hidden(iPr_def_30,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_168617,c_8229]) ).
tcf(c_168620,plain,
r2_hidden(k1_xboole_0,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_168616,c_167809]) ).
tcf(c_168621,plain,
r2_hidden(k1_xboole_0,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168615,c_14778]) ).
tcf(c_168622,plain,
r2_hidden(k1_xboole_0,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168614,c_14497]) ).
tcf(c_168623,plain,
r2_hidden(iPr_def_32,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168603,c_14778]) ).
tcf(c_168624,plain,
r2_hidden(sK4,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_168597,c_167809]) ).
tcf(c_168625,plain,
r2_hidden(iPr_def_18,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168596,c_14778]) ).
tcf(c_168626,plain,
r2_hidden(iPr_def_27,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_168595,c_8235]) ).
tcf(c_168627,plain,
r2_hidden(iPr_def_26,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168594,c_14497]) ).
tcf(c_168628,plain,
r2_hidden(iPr_def_25,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168593,c_14497]) ).
tcf(c_168629,plain,
r2_hidden(iPr_def_24,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168591,c_14778]) ).
tcf(c_168630,plain,
r2_hidden(iPr_def_23,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168590,c_14778]) ).
tcf(c_168631,plain,
r2_hidden(iPr_def_22,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168589,c_14778]) ).
tcf(c_168632,plain,
r2_hidden(iPr_def_17,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168587,c_14497]) ).
tcf(c_168633,plain,
r2_hidden(sK16(iPr_def_20),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168605,c_14778]) ).
tcf(c_168634,plain,
r2_hidden(sK16(iPr_def_18),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168604,c_14497]) ).
tcf(c_168639,plain,
! [X0: $i] : r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_168613,c_185]) ).
tcf(c_168640,plain,
r2_hidden(sK13(iPr_def_20,iPr_def_18),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_168602,c_167809]) ).
tcf(c_168641,plain,
r2_hidden(sK11(iPr_def_20,iPr_def_18),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_168601,c_167809]) ).
tcf(c_168642,plain,
r2_hidden(sK23(sK20),k1_zfmisc_1(u1_struct_0(sK20))),
inference(forward_subsumption_resolution,[status(thm)],[c_168584,c_185]) ).
tcf(c_168643,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK16(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_168578,c_185]) ).
tcf(c_168646,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_168618,c_14778]) ).
tcf(c_168649,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_168600,c_14778]) ).
tcf(c_168652,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_168576,c_185]) ).
tcf(c_168655,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_168612,c_8229]) ).
tcf(c_168658,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_168582,c_185]) ).
tcf(c_168659,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_168581,c_185]) ).
tcf(c_168660,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_168579,c_185]) ).
tcf(c_168663,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_168592,c_8229]) ).
tcf(c_168667,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_168588,c_8235]) ).
tcf(c_168671,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_168583,c_185]) ).
tcf(c_168674,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_168586,c_185]) ).
tcf(c_168678,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_168585,c_185]) ).
tcf(c_168686,plain,
~ r2_hidden(iPr_def_18,iPr_def_30),
inference(superposition,[status(thm)],[c_168619,c_60]) ).
tcf(c_168689,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_168619,c_8246]) ).
tcf(c_168690,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_168619,c_8233]) ).
tcf(c_168691,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_168690,c_8255]) ).
tcf(c_168694,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_168689,c_8224]) ).
tcf(c_168698,plain,
~ r2_hidden(iPr_def_29,k1_xboole_0),
inference(superposition,[status(thm)],[c_168620,c_60]) ).
tcf(c_168701,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_168620,c_8246]) ).
tcf(c_168702,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_168620,c_8233]) ).
tcf(c_168709,plain,
~ r2_hidden(iPr_def_21,k1_xboole_0),
inference(superposition,[status(thm)],[c_168621,c_60]) ).
tcf(c_168712,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_168621,c_8246]) ).
tcf(c_168713,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_168621,c_8233]) ).
tcf(c_168727,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK22(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_168569,c_298]) ).
tcf(c_168728,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_168569,c_167885]) ).
tcf(c_168729,plain,
r2_hidden(sK22(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168727,c_14778]) ).
tcf(c_168733,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_168543,c_298]) ).
tcf(c_168734,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_168543,c_167885]) ).
tcf(c_168735,plain,
r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168733,c_14778]) ).
tcf(c_168739,plain,
v1_tsp_1(sK22(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_168728,c_59,c_334,c_11828]) ).
tcf(c_168741,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_168739,c_168269]) ).
tcf(c_168742,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_168739,c_167658]) ).
tcf(c_168743,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_168741,c_168569]) ).
tcf(c_168746,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_168742,c_168569]) ).
tcf(c_168756,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_168746,c_59,c_334,c_45823]) ).
tcf(c_168762,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_168756,c_168268]) ).
tcf(c_168781,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_168734,c_168269]) ).
tcf(c_168782,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_168734,c_167658]) ).
tcf(c_168783,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_168781,c_168543]) ).
tcf(c_168788,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_168782,c_168543]) ).
tcf(c_168814,plain,
~ r2_hidden(iPr_def_19,k1_xboole_0),
inference(superposition,[status(thm)],[c_168622,c_60]) ).
tcf(c_168817,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_168622,c_8246]) ).
tcf(c_168818,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_168622,c_8233]) ).
tcf(c_168832,plain,
! [X0: $i,X1: $i] :
( ( sK22(X0) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_305]) ).
tcf(c_168856,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_6688]) ).
tcf(c_168857,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_6688]) ).
tcf(c_168858,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_6688,c_298]) ).
tcf(c_168859,plain,
! [X0: $i] :
( r1_tarski(u1_struct_0(sK14(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6688,c_300]) ).
tcf(c_168862,plain,
( m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_168857,c_8212]) ).
tcf(c_168863,plain,
m1_subset_1(u1_struct_0(sK14(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168862,c_8256]) ).
tcf(c_168864,plain,
( m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_168856,c_8214]) ).
tcf(c_168865,plain,
m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168864,c_8260]) ).
tcf(c_168866,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_168858,c_185]) ).
tcf(c_168892,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_18)
| ~ v1_xboole_0(k4_tex_4(sK3,X0)) ),
inference(light_normalisation,[status(thm)],[c_6744,c_8211]) ).
tcf(c_168899,plain,
~ r2_hidden(iPr_def_21,iPr_def_32),
inference(superposition,[status(thm)],[c_168623,c_60]) ).
tcf(c_168902,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_168623,c_8246]) ).
tcf(c_168903,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_168623,c_8233]) ).
tcf(c_168910,plain,
~ r2_hidden(iPr_def_29,sK4),
inference(superposition,[status(thm)],[c_168624,c_60]) ).
tcf(c_168913,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_168624,c_8246]) ).
tcf(c_168914,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_168624,c_8233]) ).
tcf(c_168921,plain,
~ r2_hidden(iPr_def_21,iPr_def_18),
inference(superposition,[status(thm)],[c_168625,c_60]) ).
tcf(c_168924,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_168625,c_8246]) ).
tcf(c_168925,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_168625,c_8233]) ).
tcf(c_168932,plain,
~ r2_hidden(iPr_def_20,iPr_def_27),
inference(superposition,[status(thm)],[c_168626,c_60]) ).
tcf(c_168935,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_168626,c_8246]) ).
tcf(c_168936,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_168626,c_8233]) ).
tcf(c_168937,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_168936,c_8225]) ).
tcf(c_168944,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_168865,c_298]) ).
tcf(c_168945,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_168865,c_167885]) ).
tcf(c_168946,plain,
r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168944,c_14778]) ).
tcf(c_168958,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_168945,c_168269]) ).
tcf(c_168959,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_168945,c_167658]) ).
tcf(c_168960,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_168958,c_168865]) ).
tcf(c_168965,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_168959,c_168865]) ).
tcf(c_168991,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK22(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_168567,c_298]) ).
tcf(c_168992,plain,
r2_hidden(sK22(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168991,c_14497]) ).
tcf(c_169029,plain,
~ r2_hidden(iPr_def_21,sK22(sK2)),
inference(superposition,[status(thm)],[c_168729,c_60]) ).
tcf(c_169032,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_168729,c_8246]) ).
tcf(c_169033,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_168729,c_8233]) ).
tcf(c_169040,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_168541,c_298]) ).
tcf(c_169041,plain,
r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_169040,c_14497]) ).
tcf(c_169042,plain,
~ r2_hidden(iPr_def_19,iPr_def_26),
inference(superposition,[status(thm)],[c_168627,c_60]) ).
tcf(c_169045,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_168627,c_8246]) ).
tcf(c_169046,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_168627,c_8233]) ).
tcf(c_169059,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_150,c_151]) ).
tcf(c_169060,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_8243,c_151]) ).
tcf(c_169061,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_8230,c_151]) ).
tcf(c_169062,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_8262,c_151]) ).
tcf(c_169063,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_167602,c_151]) ).
tcf(c_169064,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_167647,c_151]) ).
tcf(c_169065,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_167968,c_151]) ).
tcf(c_169066,plain,
! [X0: $i] :
( r2_hidden(iPr_def_26,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168627,c_151]) ).
tcf(c_169067,plain,
! [X0: $i] :
( r2_hidden(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168626,c_151]) ).
tcf(c_169068,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168625,c_151]) ).
tcf(c_169069,plain,
! [X0: $i] :
( r2_hidden(sK4,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168624,c_151]) ).
tcf(c_169071,plain,
! [X0: $i] :
( r2_hidden(iPr_def_32,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168623,c_151]) ).
tcf(c_169072,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168622,c_151]) ).
tcf(c_169073,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168621,c_151]) ).
tcf(c_169074,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168620,c_151]) ).
tcf(c_169075,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168619,c_151]) ).
tcf(c_169076,plain,
! [X0: $i] :
( r2_hidden(sK22(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168729,c_151]) ).
tcf(c_169137,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_8213,c_240]) ).
tcf(c_169138,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_8211,c_240]) ).
tcf(c_169139,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_240,c_298]) ).
tcf(c_169140,plain,
! [X0: $i] :
( r1_tarski(sK17(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_240,c_300]) ).
tcf(c_169144,plain,
( m1_subset_1(sK17(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_169138,c_8212]) ).
tcf(c_169145,plain,
m1_subset_1(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_169144,c_8256,c_8254]) ).
tcf(c_169146,plain,
( m1_subset_1(sK17(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_169137,c_8214]) ).
tcf(c_169147,plain,
m1_subset_1(sK17(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_169146,c_8260,c_8261]) ).
tcf(c_169148,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_169139,c_185]) ).
tcf(c_169159,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_8213,c_244]) ).
tcf(c_169160,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_8211,c_244]) ).
tcf(c_169161,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_244,c_298]) ).
tcf(c_169162,plain,
! [X0: $i] :
( r1_tarski(sK19(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_244,c_300]) ).
tcf(c_169166,plain,
( m1_subset_1(sK19(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_169160,c_8212]) ).
tcf(c_169167,plain,
m1_subset_1(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_169166,c_8256,c_8254]) ).
tcf(c_169168,plain,
( m1_subset_1(sK19(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_169159,c_8214]) ).
tcf(c_169169,plain,
m1_subset_1(sK19(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_169168,c_8260,c_8261]) ).
tcf(c_169170,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_169161,c_185]) ).
tcf(c_169190,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_8213,c_275]) ).
tcf(c_169191,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_8211,c_275]) ).
tcf(c_169192,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_275,c_298]) ).
tcf(c_169193,plain,
! [X0: $i] :
( r1_tarski(sK25(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_275,c_300]) ).
tcf(c_169197,plain,
( m1_subset_1(sK25(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_169191,c_8212]) ).
tcf(c_169198,plain,
m1_subset_1(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_169197,c_8256,c_8254]) ).
tcf(c_169199,plain,
( m1_subset_1(sK25(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_169190,c_8214]) ).
tcf(c_169200,plain,
m1_subset_1(sK25(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_169199,c_8260,c_8261]) ).
tcf(c_169201,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_169192,c_185]) ).
tcf(c_169205,plain,
! [X0: $i] :
( r2_hidden(iPr_def_25,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168628,c_151]) ).
tcf(c_169206,plain,
~ r2_hidden(iPr_def_19,iPr_def_25),
inference(superposition,[status(thm)],[c_168628,c_60]) ).
tcf(c_169209,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_168628,c_8246]) ).
tcf(c_169210,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_168628,c_8233]) ).
tcf(c_169219,plain,
! [X0: $i] :
( r2_hidden(iPr_def_24,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168629,c_151]) ).
tcf(c_169220,plain,
~ r2_hidden(iPr_def_21,iPr_def_24),
inference(superposition,[status(thm)],[c_168629,c_60]) ).
tcf(c_169223,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_168629,c_8246]) ).
tcf(c_169224,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_168629,c_8233]) ).
tcf(c_169247,plain,
! [X0: $i] :
( r2_hidden(iPr_def_23,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168630,c_151]) ).
tcf(c_169248,plain,
~ r2_hidden(iPr_def_21,iPr_def_23),
inference(superposition,[status(thm)],[c_168630,c_60]) ).
tcf(c_169251,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_168630,c_8246]) ).
tcf(c_169252,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_168630,c_8233]) ).
tcf(c_169261,plain,
! [X0: $i] :
( r2_hidden(iPr_def_22,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168631,c_151]) ).
tcf(c_169262,plain,
~ r2_hidden(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_168631,c_60]) ).
tcf(c_169265,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_168631,c_8246]) ).
tcf(c_169266,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_168631,c_8233]) ).
tcf(c_169275,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK17(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_169147,c_298]) ).
tcf(c_169276,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_169147,c_167885]) ).
tcf(c_169277,plain,
r2_hidden(sK17(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_169275,c_14778]) ).
tcf(c_169281,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK19(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_169169,c_298]) ).
tcf(c_169282,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_169169,c_167885]) ).
tcf(c_169283,plain,
r2_hidden(sK19(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_169281,c_14778]) ).
tcf(c_169300,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK25(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_169200,c_298]) ).
tcf(c_169301,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_169200,c_167885]) ).
tcf(c_169302,plain,
r2_hidden(sK25(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_169300,c_14778]) ).
tcf(c_169312,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_8223,c_169062]) ).
tcf(c_169313,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_169062,c_151]) ).
tcf(c_169314,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_169062,c_60]) ).
tcf(c_169315,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_169062,c_304]) ).
tcf(c_169316,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_169062,c_293]) ).
tcf(c_169317,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_169062,c_8246]) ).
tcf(c_169318,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_169062,c_8233]) ).
tcf(c_169319,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_169062,c_8245]) ).
tcf(c_169320,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_169062,c_8232]) ).
tcf(c_169321,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_169062,c_168239]) ).
tcf(c_169322,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_169062,c_168240]) ).
tcf(c_169326,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_169312,c_8225]) ).
tcf(c_169383,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_8225,c_169315]) ).
tcf(c_169384,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169383,c_8253]) ).
tcf(c_169393,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_8223,c_169316]) ).
tcf(c_169395,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_169316,c_300]) ).
tcf(c_169396,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_169316,c_167885]) ).
tcf(c_169397,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_169316,c_167838]) ).
tcf(c_169398,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_169393,c_8225]) ).
tcf(c_169399,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169398,c_8253]) ).
tcf(c_169420,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_150,c_169314]) ).
tcf(c_169423,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_169062,c_169314]) ).
tcf(c_169424,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_8223,c_169314]) ).
tcf(c_169425,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_169424,c_8225]) ).
tcf(c_169426,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_32,X0)
| ~ r2_hidden(X0,iPr_def_30) ),
inference(forward_subsumption_resolution,[status(thm)],[c_169425,c_8253]) ).
tcf(c_169445,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_8225,c_169313]) ).
tcf(c_169446,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_169445,c_8223]) ).
tcf(c_169447,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_169446,c_8253]) ).
tcf(c_169461,plain,
! [X0: $i] :
( r2_hidden(iPr_def_17,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168632,c_151]) ).
tcf(c_169462,plain,
~ r2_hidden(iPr_def_19,iPr_def_17),
inference(superposition,[status(thm)],[c_168632,c_60]) ).
tcf(c_169465,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_168632,c_8246]) ).
tcf(c_169466,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_168632,c_8233]) ).
tcf(c_169475,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_6660,c_8213]) ).
tcf(c_169482,plain,
k1_struct_0(sK2,sK12(iPr_def_20)) = k1_tarski(sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_172,c_169475]) ).
tcf(c_169483,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_8231,c_169475]) ).
tcf(c_169484,plain,
k1_struct_0(sK2,iPr_def_27) = k1_tarski(iPr_def_27),
inference(superposition,[status(thm)],[c_8253,c_169475]) ).
tcf(c_169485,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_168082,c_169475]) ).
tcf(c_169487,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_169316,c_169475]) ).
tcf(c_169504,plain,
k1_struct_0(sK20,sK12(u1_struct_0(sK20))) = k1_tarski(sK12(u1_struct_0(sK20))),
inference(superposition,[status(thm)],[c_172,c_6730]) ).
tcf(c_169505,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_168082,c_6730]) ).
tcf(c_169506,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_168083,c_6730]) ).
tcf(c_169507,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_169316,c_6730]) ).
tcf(c_169531,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_6732,c_298]) ).
tcf(c_169532,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_6732,c_300]) ).
tcf(c_169535,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_169531,c_185]) ).
tcf(c_169538,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_6740,c_8211]) ).
tcf(c_169545,plain,
k1_struct_0(sK3,sK12(iPr_def_18)) = k1_tarski(sK12(iPr_def_18)),
inference(superposition,[status(thm)],[c_172,c_169538]) ).
tcf(c_169546,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_8244,c_169538]) ).
tcf(c_169548,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_168083,c_169538]) ).
tcf(c_169549,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_168060,c_169538]) ).
tcf(c_169550,plain,
k1_struct_0(sK3,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_168476,c_169538]) ).
tcf(c_169552,plain,
k1_tarski(iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_169550,c_8224]) ).
tcf(c_169553,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_169548,c_8255]) ).
tcf(c_169574,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168633,c_151]) ).
tcf(c_169575,plain,
~ r2_hidden(iPr_def_21,sK16(iPr_def_20)),
inference(superposition,[status(thm)],[c_168633,c_60]) ).
tcf(c_169578,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_168633,c_8246]) ).
tcf(c_169579,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_168633,c_8233]) ).
tcf(c_169596,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_8225,c_169423]) ).
tcf(c_169597,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_8223,c_169423]) ).
tcf(c_169598,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_169597,c_8225]) ).
tcf(c_169599,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_169598,c_8253]) ).
tcf(c_169613,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_8225,c_169321]) ).
tcf(c_169614,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_8223,c_169321]) ).
tcf(c_169615,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_169614,c_8223,c_8225]) ).
tcf(c_169616,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_169615,c_8253]) ).
tcf(c_169630,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_8225,c_169322]) ).
tcf(c_169631,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_8223,c_169322]) ).
tcf(c_169632,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_169631,c_8223,c_8225]) ).
tcf(c_169633,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_169632,c_8253]) ).
tcf(c_169639,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_169319,c_11720,c_12164,c_134645]) ).
tcf(c_169649,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_8225,c_169639]) ).
tcf(c_169650,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_169649,c_8223]) ).
tcf(c_169651,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_169650,c_8253]) ).
tcf(c_169655,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_169320,c_12165,c_87906]) ).
tcf(c_169665,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_8225,c_169655]) ).
tcf(c_169666,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_169665,c_8223]) ).
tcf(c_169667,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_169666,c_8253]) ).
tcf(c_169687,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_8225,c_169317]) ).
tcf(c_169688,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_169687,c_8223,c_8224]) ).
tcf(c_169689,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_169688,c_8253]) ).
tcf(c_169705,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_8225,c_169318]) ).
tcf(c_169706,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_169705,c_8223]) ).
tcf(c_169707,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_169706,c_8253]) ).
tcf(c_169721,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_169276,c_168269]) ).
tcf(c_169722,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_169276,c_167658]) ).
tcf(c_169723,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_169721,c_169147]) ).
tcf(c_169728,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_169722,c_169147]) ).
tcf(c_169746,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168634,c_151]) ).
tcf(c_169747,plain,
~ r2_hidden(iPr_def_19,sK16(iPr_def_18)),
inference(superposition,[status(thm)],[c_168634,c_60]) ).
tcf(c_169750,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_168634,c_8246]) ).
tcf(c_169751,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_168634,c_8233]) ).
tcf(c_169760,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_6742,c_8211,c_8212]) ).
tcf(c_169767,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_169760,c_298]) ).
tcf(c_169768,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_169767,c_14497]) ).
tcf(c_169771,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_6746,c_8211,c_8212]) ).
tcf(c_169778,plain,
( m1_subset_1(iPr_def_31,iPr_def_19)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8224,c_169771]) ).
tcf(c_169779,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_169771,c_298]) ).
tcf(c_169780,plain,
m1_subset_1(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_169778,c_168476]) ).
tcf(c_169781,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_169779,c_14497]) ).
tcf(c_169784,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_6658,c_8213]) ).
tcf(c_169791,plain,
k4_tex_4(sK2,sK12(iPr_def_20)) = k2_tex_4(sK2,sK12(iPr_def_20)),
inference(superposition,[status(thm)],[c_172,c_169784]) ).
tcf(c_169792,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_8231,c_169784]) ).
tcf(c_169793,plain,
k4_tex_4(sK2,iPr_def_27) = k2_tex_4(sK2,iPr_def_27),
inference(superposition,[status(thm)],[c_8253,c_169784]) ).
tcf(c_169794,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_168082,c_169784]) ).
tcf(c_169796,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_169316,c_169784]) ).
tcf(c_169797,plain,
k2_tex_4(sK2,iPr_def_27) = iPr_def_32,
inference(light_normalisation,[status(thm)],[c_169793,c_8225]) ).
tcf(c_169840,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_6738,c_8211]) ).
tcf(c_169847,plain,
k4_tex_4(sK3,sK12(iPr_def_18)) = k2_tex_4(sK3,sK12(iPr_def_18)),
inference(superposition,[status(thm)],[c_172,c_169840]) ).
tcf(c_169848,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_8244,c_169840]) ).
tcf(c_169850,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_168083,c_169840]) ).
tcf(c_169851,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_168060,c_169840]) ).
tcf(c_169852,plain,
k4_tex_4(sK3,iPr_def_30) = k2_tex_4(sK3,iPr_def_30),
inference(superposition,[status(thm)],[c_168476,c_169840]) ).
tcf(c_169854,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_169850,c_8255]) ).
tcf(c_169865,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_167974,c_169852]) ).
tcf(c_169869,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_31,iPr_def_19) ),
inference(superposition,[status(thm)],[c_169780,c_298]) ).
tcf(c_169870,plain,
r2_hidden(iPr_def_31,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_169869,c_14497]) ).
tcf(c_169871,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_169870,c_151]) ).
tcf(c_169872,plain,
~ r2_hidden(iPr_def_19,iPr_def_31),
inference(superposition,[status(thm)],[c_169870,c_60]) ).
tcf(c_169875,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_169870,c_8246]) ).
tcf(c_169876,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_169870,c_8233]) ).
tcf(c_169920,plain,
! [X0: $i,X1: $i] :
( r2_hidden(k1_xboole_0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_168639,c_151]) ).
tcf(c_169921,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_xboole_0),
inference(superposition,[status(thm)],[c_168639,c_60]) ).
tcf(c_169924,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_168639,c_8246]) ).
tcf(c_169925,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_168639,c_8233]) ).
tcf(c_169940,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_169282,c_168269]) ).
tcf(c_169941,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_169282,c_167658]) ).
tcf(c_169942,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_169940,c_169169]) ).
tcf(c_169947,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_169941,c_169169]) ).
tcf(c_169966,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_169301,c_168269]) ).
tcf(c_169967,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_169301,c_167658]) ).
tcf(c_169968,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_169966,c_169200]) ).
tcf(c_169973,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_169967,c_169200]) ).
tcf(c_170041,plain,
! [X0: $i] :
( r2_hidden(sK13(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168640,c_151]) ).
tcf(c_170042,plain,
~ r2_hidden(iPr_def_29,sK13(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_168640,c_60]) ).
tcf(c_170045,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_168640,c_8246]) ).
tcf(c_170046,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_168640,c_8233]) ).
tcf(c_170061,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_8213,c_159]) ).
tcf(c_170062,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_8211,c_159]) ).
tcf(c_170063,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_159,c_298]) ).
tcf(c_170064,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_159,c_300]) ).
tcf(c_170068,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_170062,c_8211,c_8212]) ).
tcf(c_170069,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_170068,c_8256]) ).
tcf(c_170072,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_170061,c_8213,c_8214]) ).
tcf(c_170073,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_170072,c_8260]) ).
tcf(c_170076,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_170063,c_185]) ).
tcf(c_170088,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_299,c_156]) ).
tcf(c_170089,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_159,c_156]) ).
tcf(c_170090,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_172,c_156]) ).
tcf(c_170091,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_238,c_156]) ).
tcf(c_170092,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_240,c_156]) ).
tcf(c_170093,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_244,c_156]) ).
tcf(c_170094,plain,
! [X0: $i] :
( v1_tsp_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_253,c_156]) ).
tcf(c_170096,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_275,c_156]) ).
tcf(c_170097,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_6684,c_156]) ).
tcf(c_170098,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_6688,c_156]) ).
tcf(c_170099,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_6732,c_156]) ).
tcf(c_170100,plain,
( v1_tsp_1(sK23(sK20),sK20)
| ~ l1_pre_topc(sK20)
| ~ v1_tsp_2(sK23(sK20),sK20) ),
inference(superposition,[status(thm)],[c_6252,c_156]) ).
tcf(c_170101,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_6233,c_156]) ).
tcf(c_170102,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_6269,c_156]) ).
tcf(c_170103,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_168082,c_156]) ).
tcf(c_170104,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_168083,c_156]) ).
tcf(c_170105,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_168109,c_156]) ).
tcf(c_170106,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_169316,c_156]) ).
tcf(c_170107,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_8213,c_156]) ).
tcf(c_170108,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_8211,c_156]) ).
tcf(c_170124,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_170108,c_8212]) ).
tcf(c_170125,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_170124,c_8256]) ).
tcf(c_170129,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_170107,c_8214]) ).
tcf(c_170130,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_170129,c_8260]) ).
tcf(c_170212,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_6656,c_8211,c_8213]) ).
tcf(c_170219,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_172,c_170212]) ).
tcf(c_170220,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_8231,c_170212]) ).
tcf(c_170221,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_8253,c_170212]) ).
tcf(c_170222,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_168082,c_170212]) ).
tcf(c_170224,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_169316,c_170212]) ).
tcf(c_170225,plain,
k1_funct_1(sK4,iPr_def_27) = iPr_def_30,
inference(light_normalisation,[status(thm)],[c_170221,c_8223]) ).
tcf(c_170258,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_299,c_153]) ).
tcf(c_170259,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_159,c_153]) ).
tcf(c_170260,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_172,c_153]) ).
tcf(c_170261,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_238,c_153]) ).
tcf(c_170262,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_240,c_153]) ).
tcf(c_170263,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_244,c_153]) ).
tcf(c_170264,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_253,c_153]) ).
tcf(c_170266,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_275,c_153]) ).
tcf(c_170267,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_6684,c_153]) ).
tcf(c_170268,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_6688,c_153]) ).
tcf(c_170269,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_6732,c_153]) ).
tcf(c_170270,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_6252,c_153]) ).
tcf(c_170271,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_6233,c_153]) ).
tcf(c_170272,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_6269,c_153]) ).
tcf(c_170273,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_168082,c_153]) ).
tcf(c_170274,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_168083,c_153]) ).
tcf(c_170275,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_168109,c_153]) ).
tcf(c_170276,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_169316,c_153]) ).
tcf(c_170277,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_8213,c_153]) ).
tcf(c_170278,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_8211,c_153]) ).
tcf(c_170291,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_170278,c_8212]) ).
tcf(c_170292,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_170291,c_8256]) ).
tcf(c_170297,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_170277,c_8214]) ).
tcf(c_170298,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_170297,c_8260]) ).
tcf(c_170418,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_170073,c_298]) ).
tcf(c_170419,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_170073,c_167885]) ).
tcf(c_170420,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_170418,c_14778]) ).
tcf(c_170433,plain,
( v1_tsp_1(sK12(iPr_def_21),sK2)
| ~ v1_tsp_2(sK12(iPr_def_21),sK2) ),
inference(superposition,[status(thm)],[c_172,c_170130]) ).
tcf(c_170434,plain,
( v1_tsp_1(iPr_def_22,sK2)
| ~ v1_tsp_2(iPr_def_22,sK2) ),
inference(superposition,[status(thm)],[c_8236,c_170130]) ).
tcf(c_170435,plain,
( v1_tsp_1(iPr_def_23,sK2)
| ~ v1_tsp_2(iPr_def_23,sK2) ),
inference(superposition,[status(thm)],[c_8238,c_170130]) ).
tcf(c_170436,plain,
( v1_tsp_1(iPr_def_24,sK2)
| ~ v1_tsp_2(iPr_def_24,sK2) ),
inference(superposition,[status(thm)],[c_8240,c_170130]) ).
tcf(c_170437,plain,
( v1_tsp_1(iPr_def_18,sK2)
| ~ v1_tsp_2(iPr_def_18,sK2) ),
inference(superposition,[status(thm)],[c_8255,c_170130]) ).
tcf(c_170438,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_170073,c_170130]) ).
tcf(c_170440,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_168221,c_170130]) ).
tcf(c_170441,plain,
( v1_tsp_1(iPr_def_32,sK2)
| ~ v1_tsp_2(iPr_def_32,sK2) ),
inference(superposition,[status(thm)],[c_168230,c_170130]) ).
tcf(c_170442,plain,
( v1_tsp_1(sK16(iPr_def_20),sK2)
| ~ v1_tsp_2(sK16(iPr_def_20),sK2) ),
inference(superposition,[status(thm)],[c_168076,c_170130]) ).
tcf(c_170443,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_168082,c_170130]) ).
tcf(c_170444,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_168083,c_170130]) ).
tcf(c_170445,plain,
( v1_tsp_1(k1_xboole_0,sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(superposition,[status(thm)],[c_168112,c_170130]) ).
tcf(c_170446,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_168405,c_170130]) ).
tcf(c_170448,plain,
( v1_tsp_1(u1_struct_0(sK10(sK2)),sK2)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(superposition,[status(thm)],[c_168543,c_170130]) ).
tcf(c_170449,plain,
( v1_tsp_1(u1_struct_0(sK14(sK2)),sK2)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(superposition,[status(thm)],[c_168865,c_170130]) ).
tcf(c_170450,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_169316,c_170130]) ).
tcf(c_170451,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ~ v1_tsp_2(sK17(sK2),sK2) ),
inference(superposition,[status(thm)],[c_169147,c_170130]) ).
tcf(c_170452,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ~ v1_tsp_2(sK19(sK2),sK2) ),
inference(superposition,[status(thm)],[c_169169,c_170130]) ).
tcf(c_170453,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ~ v1_tsp_2(sK25(sK2),sK2) ),
inference(superposition,[status(thm)],[c_169200,c_170130]) ).
tcf(c_170458,plain,
v1_tsp_1(iPr_def_18,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_170437,c_8257]) ).
tcf(c_170529,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_170298,c_168269]) ).
tcf(c_170530,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_170298,c_167658]) ).
tcf(c_170567,plain,
v1_tsp_1(k1_xboole_0,sK2),
inference(global_subsumption_just,[status(thm)],[c_170445,c_11247]) ).
tcf(c_170570,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_170567,c_167658]) ).
tcf(c_170571,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_170570,c_168112,c_168111]) ).
tcf(c_170574,plain,
! [X0: $i] :
( r2_hidden(sK11(iPr_def_20,iPr_def_18),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168641,c_151]) ).
tcf(c_170575,plain,
~ r2_hidden(iPr_def_29,sK11(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_168641,c_60]) ).
tcf(c_170578,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_168641,c_8246]) ).
tcf(c_170579,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_168641,c_8233]) ).
tcf(c_170598,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_299,c_154]) ).
tcf(c_170599,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_159,c_154]) ).
tcf(c_170600,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_172,c_154]) ).
tcf(c_170601,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_238,c_154]) ).
tcf(c_170602,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_240,c_154]) ).
tcf(c_170603,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_244,c_154]) ).
tcf(c_170604,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_253,c_154]) ).
tcf(c_170606,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_275,c_154]) ).
tcf(c_170607,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_6684,c_154]) ).
tcf(c_170608,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_6688,c_154]) ).
tcf(c_170609,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_6732,c_154]) ).
tcf(c_170610,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_6252,c_154]) ).
tcf(c_170611,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_6233,c_154]) ).
tcf(c_170612,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_6269,c_154]) ).
tcf(c_170613,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_168082,c_154]) ).
tcf(c_170614,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_168083,c_154]) ).
tcf(c_170615,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_168109,c_154]) ).
tcf(c_170616,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_169316,c_154]) ).
tcf(c_170617,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_8213,c_154]) ).
tcf(c_170618,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_8211,c_154]) ).
tcf(c_170627,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_170618,c_8212]) ).
tcf(c_170628,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_170627,c_8256]) ).
tcf(c_170633,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_170617,c_8214]) ).
tcf(c_170634,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_170633,c_8260]) ).
tcf(c_170770,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_8213,c_155]) ).
tcf(c_170771,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_8211,c_155]) ).
tcf(c_170772,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_155,c_298]) ).
tcf(c_170773,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_155,c_300]) ).
tcf(c_170774,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_155,c_154]) ).
tcf(c_170775,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_155,c_153]) ).
tcf(c_170776,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_155,c_156]) ).
tcf(c_170782,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_170771,c_8211,c_8212]) ).
tcf(c_170783,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_170782,c_8256]) ).
tcf(c_170788,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_170770,c_8213,c_8214]) ).
tcf(c_170789,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_170788,c_8260]) ).
tcf(c_170800,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_170772,c_185]) ).
tcf(c_170822,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(sK12(X0),X0) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_170848,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_299,c_157]) ).
tcf(c_170849,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_155,c_157]) ).
tcf(c_170850,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_159,c_157]) ).
tcf(c_170851,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_172,c_157]) ).
tcf(c_170852,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_238,c_157]) ).
tcf(c_170853,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_240,c_157]) ).
tcf(c_170854,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_244,c_157]) ).
tcf(c_170855,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_253,c_157]) ).
tcf(c_170857,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_275,c_157]) ).
tcf(c_170858,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_6684,c_157]) ).
tcf(c_170859,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_6688,c_157]) ).
tcf(c_170860,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_6732,c_157]) ).
tcf(c_170861,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_6252,c_157]) ).
tcf(c_170862,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_6233,c_157]) ).
tcf(c_170863,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_6269,c_157]) ).
tcf(c_170864,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_168082,c_157]) ).
tcf(c_170865,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_168083,c_157]) ).
tcf(c_170866,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_168109,c_157]) ).
tcf(c_170867,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_169316,c_157]) ).
tcf(c_170868,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_8213,c_157]) ).
tcf(c_170869,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_8211,c_157]) ).
tcf(c_170888,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_170869,c_8211,c_8212]) ).
tcf(c_170889,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_170888,c_8256]) ).
tcf(c_170896,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_170868,c_8213,c_8214]) ).
tcf(c_170897,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_170896,c_8260]) ).
tcf(c_171036,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_170458,c_168269]) ).
tcf(c_171037,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_170458,c_167658]) ).
tcf(c_171038,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_171036,c_8255]) ).
tcf(c_171041,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_171037,c_8255]) ).
tcf(c_171053,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_170634,c_169318]) ).
tcf(c_171054,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_170634,c_169317]) ).
tcf(c_171055,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_170634,c_169313]) ).
tcf(c_171056,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_170634,c_169315]) ).
tcf(c_171103,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_170789,c_298]) ).
tcf(c_171105,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_170789,c_167885]) ).
tcf(c_171106,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_171103,c_14778]) ).
tcf(c_171130,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_168389,c_170897]) ).
tcf(c_171131,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_168397,c_170897]) ).
tcf(c_171132,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_168435,c_170897]) ).
tcf(c_171133,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_168445,c_170897]) ).
tcf(c_171135,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_168743,c_170897]) ).
tcf(c_171136,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_168783,c_170897]) ).
tcf(c_171137,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_168960,c_170897]) ).
tcf(c_171138,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_169723,c_170897]) ).
tcf(c_171139,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_169942,c_170897]) ).
tcf(c_171140,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_169968,c_170897]) ).
tcf(c_171142,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_168380,c_170897]) ).
tcf(c_171143,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_168375,c_170897]) ).
tcf(c_171144,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_168370,c_170897]) ).
tcf(c_171145,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_168480,c_170897]) ).
tcf(c_171146,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_168481,c_170897]) ).
tcf(c_171147,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_168482,c_170897]) ).
tcf(c_171148,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_171133,c_168112]) ).
tcf(c_171158,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_171146,c_172]) ).
tcf(c_171163,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_171145,c_170458,c_8255]) ).
tcf(c_171172,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_171135,c_168569]) ).
tcf(c_171198,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_171144,c_8240]) ).
tcf(c_171206,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_171143,c_8238]) ).
tcf(c_171214,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_171142,c_8236]) ).
tcf(c_171222,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_171140,c_169200]) ).
tcf(c_171230,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_171139,c_169169]) ).
tcf(c_171238,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_171138,c_169147]) ).
tcf(c_171246,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_171137,c_168865]) ).
tcf(c_171254,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_171136,c_168543]) ).
tcf(c_171292,plain,
! [X0: $i] :
( r2_hidden(sK23(sK20),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_168642,c_151]) ).
tcf(c_171293,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),sK23(sK20)),
inference(superposition,[status(thm)],[c_168642,c_60]) ).
tcf(c_171294,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20))),
inference(superposition,[status(thm)],[c_168642,c_304]) ).
tcf(c_171296,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_168642,c_8246]) ).
tcf(c_171297,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_168642,c_8233]) ).
tcf(c_171358,plain,
! [X0: $i] :
( r2_hidden(sK22(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168992,c_151]) ).
tcf(c_171359,plain,
~ r2_hidden(iPr_def_19,sK22(sK3)),
inference(superposition,[status(thm)],[c_168992,c_60]) ).
tcf(c_171362,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_168992,c_8246]) ).
tcf(c_171363,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_168992,c_8233]) ).
tcf(c_171372,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK17(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_169145,c_298]) ).
tcf(c_171373,plain,
r2_hidden(sK17(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_171372,c_14497]) ).
tcf(c_171385,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK19(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_169167,c_298]) ).
tcf(c_171386,plain,
r2_hidden(sK19(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_171385,c_14497]) ).
tcf(c_171407,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK25(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_169198,c_298]) ).
tcf(c_171408,plain,
r2_hidden(sK25(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_171407,c_14497]) ).
tcf(c_171429,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_8225,c_170440]) ).
tcf(c_171430,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_171429,c_8225]) ).
tcf(c_171464,plain,
r2_hidden(sK13(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8221,c_168658]) ).
tcf(c_171465,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_168658,c_151]) ).
tcf(c_171466,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK13(X0,X1)),
inference(superposition,[status(thm)],[c_168658,c_60]) ).
tcf(c_171467,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_168658,c_304]) ).
tcf(c_171469,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_168658,c_8246]) ).
tcf(c_171470,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_168658,c_8233]) ).
tcf(c_171488,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_169277,c_151]) ).
tcf(c_171489,plain,
~ r2_hidden(iPr_def_21,sK17(sK2)),
inference(superposition,[status(thm)],[c_169277,c_60]) ).
tcf(c_171492,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_169277,c_8246]) ).
tcf(c_171493,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_169277,c_8233]) ).
tcf(c_171508,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_169283,c_151]) ).
tcf(c_171509,plain,
~ r2_hidden(iPr_def_21,sK19(sK2)),
inference(superposition,[status(thm)],[c_169283,c_60]) ).
tcf(c_171512,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_169283,c_8246]) ).
tcf(c_171513,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_169283,c_8233]) ).
tcf(c_171530,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_169302,c_151]) ).
tcf(c_171531,plain,
~ r2_hidden(iPr_def_21,sK25(sK2)),
inference(superposition,[status(thm)],[c_169302,c_60]) ).
tcf(c_171534,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_169302,c_8246]) ).
tcf(c_171535,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_169302,c_8233]) ).
tcf(c_171557,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171373,c_151]) ).
tcf(c_171558,plain,
~ r2_hidden(iPr_def_19,sK17(sK3)),
inference(superposition,[status(thm)],[c_171373,c_60]) ).
tcf(c_171561,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_171373,c_8246]) ).
tcf(c_171562,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_171373,c_8233]) ).
tcf(c_171579,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_8223,c_170450]) ).
tcf(c_171580,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_171579,c_8223,c_8225]) ).
tcf(c_171581,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_171580,c_8253]) ).
tcf(c_171595,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_8212,c_171132]) ).
tcf(c_171596,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_8214,c_171132]) ).
tcf(c_171597,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_8222,c_171132]) ).
tcf(c_171608,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_171056,c_168221]) ).
tcf(c_171621,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_8225,c_171608]) ).
tcf(c_171622,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_171621,c_8225]) ).
tcf(c_171623,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_171622,c_8253]) ).
tcf(c_171633,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_171055,c_168221]) ).
tcf(c_171649,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_288,c_171633]) ).
tcf(c_171650,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_170634,c_171633]) ).
tcf(c_171651,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_8225,c_171633]) ).
tcf(c_171656,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_171651,c_8223,c_8225]) ).
tcf(c_171657,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_171656,c_8253]) ).
tcf(c_171700,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_tsp_2(sK22(sK2),sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_1(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_171172,c_59,c_218,c_334,c_8303,c_12611,c_14605,c_22982,c_81626,c_164539]) ).
tcf(c_171701,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_tsp_1(X0,sK2)
| ~ m1_subset_1(X0,iPr_def_21)
| ~ v1_tsp_2(sK22(sK2),sK2) ),
inference(renaming,[status(thm)],[c_171700]) ).
tcf(c_171735,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_171131,c_85497]) ).
tcf(c_171749,plain,
r2_hidden(sK11(iPr_def_20,iPr_def_18),k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_8221,c_168659]) ).
tcf(c_171750,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_168659,c_151]) ).
tcf(c_171751,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK11(X0,X1)),
inference(superposition,[status(thm)],[c_168659,c_60]) ).
tcf(c_171754,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_168659,c_8246]) ).
tcf(c_171755,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_168659,c_8233]) ).
tcf(c_171779,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171386,c_151]) ).
tcf(c_171780,plain,
~ r2_hidden(iPr_def_19,sK19(sK3)),
inference(superposition,[status(thm)],[c_171386,c_60]) ).
tcf(c_171783,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_171386,c_8246]) ).
tcf(c_171784,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_171386,c_8233]) ).
tcf(c_171815,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171408,c_151]) ).
tcf(c_171816,plain,
~ r2_hidden(iPr_def_19,sK25(sK3)),
inference(superposition,[status(thm)],[c_171408,c_60]) ).
tcf(c_171819,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_171408,c_8246]) ).
tcf(c_171820,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_171408,c_8233]) ).
tcf(c_171853,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_168440,c_170897]) ).
tcf(c_171872,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168735,c_151]) ).
tcf(c_171873,plain,
~ r2_hidden(iPr_def_21,u1_struct_0(sK10(sK2))),
inference(superposition,[status(thm)],[c_168735,c_60]) ).
tcf(c_171876,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_168735,c_8246]) ).
tcf(c_171877,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_168735,c_8233]) ).
tcf(c_171886,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_168863,c_298]) ).
tcf(c_171887,plain,
r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_171886,c_14497]) ).
tcf(c_171888,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168946,c_151]) ).
tcf(c_171889,plain,
~ r2_hidden(iPr_def_21,u1_struct_0(sK14(sK2))),
inference(superposition,[status(thm)],[c_168946,c_60]) ).
tcf(c_171892,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_168946,c_8246]) ).
tcf(c_171893,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_168946,c_8233]) ).
tcf(c_171942,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_170529,c_15482]) ).
tcf(c_171954,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_171942,c_170897]) ).
tcf(c_171955,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_171942,c_171633]) ).
tcf(c_171971,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_170530,c_15538]) ).
tcf(c_171999,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_8223,c_171650]) ).
tcf(c_172000,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_8225,c_171650]) ).
tcf(c_172001,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_171650,c_151]) ).
tcf(c_172002,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_171650,c_60]) ).
tcf(c_172003,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_171650,c_304]) ).
tcf(c_172004,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_171650,c_293]) ).
tcf(c_172005,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_171650,c_8246]) ).
tcf(c_172006,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_171650,c_8233]) ).
tcf(c_172014,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_171999,c_8225]) ).
tcf(c_172015,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_172014,c_8253]) ).
tcf(c_172102,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_170419,c_168269]) ).
tcf(c_172103,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_170419,c_167658]) ).
tcf(c_172104,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_170419,c_167764]) ).
tcf(c_172149,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_171954,c_15671]) ).
tcf(c_172174,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_171053,c_168221,c_170298,c_170789]) ).
tcf(c_172188,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_8225,c_172174]) ).
tcf(c_172189,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_172188,c_8223,c_8225]) ).
tcf(c_172190,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_172189,c_8253]) ).
tcf(c_172211,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_171054,c_168221]) ).
tcf(c_172230,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_168155,c_172211]) ).
tcf(c_172231,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_8225,c_172211]) ).
tcf(c_172232,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_172231,c_8223,c_8224,c_8225,c_169852]) ).
tcf(c_172233,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_172232,c_8253]) ).
tcf(c_172247,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_169041,c_151]) ).
tcf(c_172248,plain,
~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK3))),
inference(superposition,[status(thm)],[c_169041,c_60]) ).
tcf(c_172251,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_169041,c_8246]) ).
tcf(c_172252,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_169041,c_8233]) ).
tcf(c_172282,plain,
~ v1_xboole_0(iPr_def_31),
inference(superposition,[status(thm)],[c_169552,c_190]) ).
tcf(c_172362,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_170069,c_298]) ).
tcf(c_172363,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_172362,c_14497]) ).
tcf(c_172370,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_170420,c_151]) ).
tcf(c_172371,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_170420,c_60]) ).
tcf(c_172374,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_170420,c_8246]) ).
tcf(c_172375,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_170420,c_8233]) ).
tcf(c_172389,plain,
! [X0: $i] :
( r2_hidden(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171887,c_151]) ).
tcf(c_172390,plain,
~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK3))),
inference(superposition,[status(thm)],[c_171887,c_60]) ).
tcf(c_172393,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_171887,c_8246]) ).
tcf(c_172394,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_171887,c_8233]) ).
tcf(c_172440,plain,
m1_subset_1(sK16(iPr_def_28),iPr_def_29),
inference(global_subsumption_just,[status(thm)],[c_168073,c_11038,c_11530]) ).
tcf(c_172442,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(sK16(iPr_def_28),iPr_def_29) ),
inference(superposition,[status(thm)],[c_172440,c_298]) ).
tcf(c_172443,plain,
r2_hidden(sK16(iPr_def_28),iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_172442,c_167809]) ).
tcf(c_172444,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_172443,c_151]) ).
tcf(c_172445,plain,
~ r2_hidden(iPr_def_29,sK16(iPr_def_28)),
inference(superposition,[status(thm)],[c_172443,c_60]) ).
tcf(c_172448,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_172443,c_8246]) ).
tcf(c_172449,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_172443,c_8233]) ).
tcf(c_172464,plain,
( v1_tsp_1(sK12(iPr_def_19),sK3)
| ~ v1_tsp_2(sK12(iPr_def_19),sK3) ),
inference(superposition,[status(thm)],[c_172,c_170125]) ).
tcf(c_172465,plain,
( v1_tsp_1(iPr_def_17,sK3)
| ~ v1_tsp_2(iPr_def_17,sK3) ),
inference(superposition,[status(thm)],[c_8228,c_170125]) ).
tcf(c_172466,plain,
( v1_tsp_1(iPr_def_25,sK3)
| ~ v1_tsp_2(iPr_def_25,sK3) ),
inference(superposition,[status(thm)],[c_8248,c_170125]) ).
tcf(c_172467,plain,
( v1_tsp_1(iPr_def_26,sK3)
| ~ v1_tsp_2(iPr_def_26,sK3) ),
inference(superposition,[status(thm)],[c_8250,c_170125]) ).
tcf(c_172468,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_170069,c_170125]) ).
tcf(c_172470,plain,
( v1_tsp_1(sK16(iPr_def_18),sK3)
| ~ v1_tsp_2(sK16(iPr_def_18),sK3) ),
inference(superposition,[status(thm)],[c_168077,c_170125]) ).
tcf(c_172471,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_168082,c_170125]) ).
tcf(c_172472,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_168083,c_170125]) ).
tcf(c_172473,plain,
( v1_tsp_1(k1_xboole_0,sK3)
| ~ v1_tsp_2(k1_xboole_0,sK3) ),
inference(superposition,[status(thm)],[c_168111,c_170125]) ).
tcf(c_172474,plain,
( v1_tsp_1(sK22(sK3),sK3)
| ~ v1_tsp_2(sK22(sK3),sK3) ),
inference(superposition,[status(thm)],[c_168567,c_170125]) ).
tcf(c_172475,plain,
( v1_tsp_1(u1_struct_0(sK10(sK3)),sK3)
| ~ v1_tsp_2(u1_struct_0(sK10(sK3)),sK3) ),
inference(superposition,[status(thm)],[c_168541,c_170125]) ).
tcf(c_172476,plain,
( v1_tsp_1(u1_struct_0(sK14(sK3)),sK3)
| ~ v1_tsp_2(u1_struct_0(sK14(sK3)),sK3) ),
inference(superposition,[status(thm)],[c_168863,c_170125]) ).
tcf(c_172477,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_169316,c_170125]) ).
tcf(c_172478,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ~ v1_tsp_2(sK17(sK3),sK3) ),
inference(superposition,[status(thm)],[c_169145,c_170125]) ).
tcf(c_172479,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ~ v1_tsp_2(sK19(sK3),sK3) ),
inference(superposition,[status(thm)],[c_169167,c_170125]) ).
tcf(c_172480,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ~ v1_tsp_2(sK25(sK3),sK3) ),
inference(superposition,[status(thm)],[c_169198,c_170125]) ).
tcf(c_172481,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_169760,c_170125]) ).
tcf(c_172482,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_169771,c_170125]) ).
tcf(c_172483,plain,
( v1_tsp_1(iPr_def_31,sK3)
| ~ v1_tsp_2(iPr_def_31,sK3) ),
inference(superposition,[status(thm)],[c_169780,c_170125]) ).
tcf(c_172609,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_168667,c_151]) ).
tcf(c_172610,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_168667,c_60]) ).
tcf(c_172613,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_168667,c_8246]) ).
tcf(c_172614,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_168667,c_8233]) ).
tcf(c_172682,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_169060,c_151]) ).
tcf(c_172683,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_169060,c_60]) ).
tcf(c_172684,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_169060,c_304]) ).
tcf(c_172685,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_169060,c_293]) ).
tcf(c_172686,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_169060,c_8246]) ).
tcf(c_172687,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_169060,c_8233]) ).
tcf(c_172688,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_169060,c_8245]) ).
tcf(c_172689,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_169060,c_8232]) ).
tcf(c_172690,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_169060,c_168239]) ).
tcf(c_172691,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_169060,c_168240]) ).
tcf(c_172692,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_169060,c_169314]) ).
tcf(c_172767,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_169061,c_151]) ).
tcf(c_172768,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_169061,c_60]) ).
tcf(c_172769,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_169061,c_304]) ).
tcf(c_172770,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_169061,c_293]) ).
tcf(c_172771,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_169061,c_8246]) ).
tcf(c_172772,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_169061,c_8233]) ).
tcf(c_172773,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_169061,c_8245]) ).
tcf(c_172774,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_169061,c_8232]) ).
tcf(c_172775,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_169061,c_168239]) ).
tcf(c_172776,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_169061,c_168240]) ).
tcf(c_172777,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_169061,c_169314]) ).
tcf(c_172854,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_170292,c_168268]) ).
tcf(c_172855,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_170292,c_167693]) ).
tcf(c_172877,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_168266,c_170897]) ).
tcf(c_172880,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_168266,c_169313]) ).
tcf(c_172886,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_168266,c_169423]) ).
tcf(c_172887,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_168266,c_171633]) ).
tcf(c_172918,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_168436,c_170897]) ).
tcf(c_172929,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_168577,c_151]) ).
tcf(c_172930,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(X0)) ),
inference(superposition,[status(thm)],[c_168577,c_60]) ).
tcf(c_172933,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_168577,c_8246]) ).
tcf(c_172934,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_168577,c_8233]) ).
tcf(c_172935,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_168577,c_8245]) ).
tcf(c_172936,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_168577,c_8232]) ).
tcf(c_172937,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_168577,c_169314]) ).
tcf(c_172973,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_169797,c_159]) ).
tcf(c_172974,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_169797,c_169655]) ).
tcf(c_172975,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_169797,c_8242]) ).
tcf(c_172976,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_169797,c_8232]) ).
tcf(c_172978,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_169797,c_170419]) ).
tcf(c_172979,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_169797,c_171735]) ).
tcf(c_172980,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_169797,c_170438]) ).
tcf(c_172983,plain,
( m1_subset_1(iPr_def_27,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_169797,c_168085]) ).
tcf(c_172984,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_169797,c_168397]) ).
tcf(c_172985,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_169797,c_167829]) ).
tcf(c_172986,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_169797,c_167818]) ).
tcf(c_172987,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_169797,c_167764]) ).
tcf(c_172988,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_169797,c_167730]) ).
tcf(c_172989,plain,
( r2_hidden(iPr_def_27,iPr_def_32)
| ~ m1_subset_1(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_169797,c_167602]) ).
tcf(c_172990,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_169797,c_8242]) ).
tcf(c_172991,plain,
r2_hidden(iPr_def_27,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_172989,c_8253]) ).
tcf(c_172992,plain,
m1_subset_1(iPr_def_27,iPr_def_32),
inference(forward_subsumption_resolution,[status(thm)],[c_172983,c_8253]) ).
tcf(c_172995,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_172973,c_8213,c_8214]) ).
tcf(c_172996,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_172985,c_169797]) ).
tcf(c_172997,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_172996,c_8253]) ).
tcf(c_173000,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_172984,c_169797]) ).
tcf(c_173001,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_173000,c_8253]) ).
tcf(c_173004,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_172990,c_169797]) ).
tcf(c_173005,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_173004,c_8253]) ).
tcf(c_173009,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_172976,c_169797]) ).
tcf(c_173010,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_173009,c_8253]) ).
tcf(c_173014,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_172975,c_8253]) ).
tcf(c_173018,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_172987,c_8225,c_169484,c_169797]) ).
tcf(c_173019,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_173018,c_8253]) ).
tcf(c_173022,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_172986,c_169797]) ).
tcf(c_173023,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_173022,c_8253]) ).
tcf(c_173027,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_172974,c_169797]) ).
tcf(c_173028,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_173027,c_8253]) ).
tcf(c_173032,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_172988,c_169797]) ).
tcf(c_173033,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_173032,c_8253]) ).
tcf(c_173037,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_172979,c_169797]) ).
tcf(c_173038,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_173037,c_8253]) ).
tcf(c_173044,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_172978,c_169797]) ).
tcf(c_173094,plain,
! [X0: $i] :
( r2_hidden(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_172991,c_151]) ).
tcf(c_173095,plain,
~ r2_hidden(iPr_def_32,iPr_def_27),
inference(superposition,[status(thm)],[c_172991,c_60]) ).
tcf(c_173099,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_172991,c_8233]) ).
tcf(c_173102,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_173099,c_8225,c_169484]) ).
tcf(c_173105,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_172877,c_16475,c_17484]) ).
tcf(c_173106,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_173105]) ).
tcf(c_173118,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_170419,c_173106]) ).
tcf(c_173119,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_167829,c_173106]) ).
tcf(c_173120,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_167905,c_173106]) ).
tcf(c_173121,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_167906,c_173106]) ).
tcf(c_173122,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_167907,c_173106]) ).
tcf(c_173123,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_170458,c_173106]) ).
tcf(c_173126,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_168739,c_173106]) ).
tcf(c_173127,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_168734,c_173106]) ).
tcf(c_173128,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_168945,c_173106]) ).
tcf(c_173129,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_169276,c_173106]) ).
tcf(c_173130,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_169282,c_173106]) ).
tcf(c_173131,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_169301,c_173106]) ).
tcf(c_173132,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_170298,c_173106]) ).
tcf(c_173133,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173123,c_8255]) ).
tcf(c_173137,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173126,c_168569]) ).
tcf(c_173158,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_173122,c_8240]) ).
tcf(c_173164,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_173121,c_8238]) ).
tcf(c_173170,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_173120,c_8236]) ).
tcf(c_173176,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_173131,c_169200]) ).
tcf(c_173182,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_173130,c_169169]) ).
tcf(c_173188,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_173129,c_169147]) ).
tcf(c_173194,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_173128,c_168865]) ).
tcf(c_173200,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_173127,c_168543]) ).
tcf(c_173323,plain,
! [X0: $i] :
( ( sK22(sK2) = X0 )
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_173137,c_81626]) ).
tcf(c_173329,plain,
sK22(sK2) = k1_xboole_0,
inference(superposition,[status(thm)],[c_218,c_173323]) ).
tcf(c_173330,plain,
! [X0: $i] :
( ( sK22(X0) = sK22(sK2) )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_173323]) ).
tcf(c_173360,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_173132,c_17576]) ).
tcf(c_173408,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_173329,c_253]) ).
tcf(c_173410,plain,
( m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_173408,c_8213,c_8214]) ).
tcf(c_173452,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_170628,c_170897]) ).
tcf(c_173453,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_170628,c_169318]) ).
tcf(c_173454,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_170628,c_169317]) ).
tcf(c_173455,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_170628,c_169313]) ).
tcf(c_173456,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_170628,c_169315]) ).
tcf(c_173457,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_170628,c_171633]) ).
tcf(c_173514,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_168171,c_173452]) ).
tcf(c_173541,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_170783,c_298]) ).
tcf(c_173543,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_173541,c_14497]) ).
tcf(c_173556,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_171106,c_151]) ).
tcf(c_173557,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_171106,c_60]) ).
tcf(c_173560,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_171106,c_8246]) ).
tcf(c_173561,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_171106,c_8233]) ).
tcf(c_173592,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_170419,c_171148]) ).
tcf(c_173593,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_167829,c_171148]) ).
tcf(c_173594,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_167905,c_171148]) ).
tcf(c_173595,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_167906,c_171148]) ).
tcf(c_173596,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_167907,c_171148]) ).
tcf(c_173597,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_170458,c_171148]) ).
tcf(c_173600,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_168734,c_171148]) ).
tcf(c_173601,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_168945,c_171148]) ).
tcf(c_173602,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_169276,c_171148]) ).
tcf(c_173603,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_169282,c_171148]) ).
tcf(c_173604,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_169301,c_171148]) ).
tcf(c_173605,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_170298,c_171148]) ).
tcf(c_173606,plain,
( ( k1_xboole_0 = iPr_def_18 )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173597,c_8255]) ).
tcf(c_173623,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_173596,c_8240]) ).
tcf(c_173628,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_173595,c_8238]) ).
tcf(c_173633,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_173594,c_8236]) ).
tcf(c_173638,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_173604,c_169200]) ).
tcf(c_173643,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_173603,c_169169]) ).
tcf(c_173648,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_173602,c_169147]) ).
tcf(c_173653,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_173601,c_168865]) ).
tcf(c_173658,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_173600,c_168543]) ).
tcf(c_173694,plain,
~ r2_hidden(k1_zfmisc_1(iPr_def_28),sK13(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_8221,c_171466]) ).
tcf(c_173700,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168266,c_168421]) ).
tcf(c_173701,plain,
m1_subset_1(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_288,c_168421]) ).
tcf(c_173703,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_168389,c_168421]) ).
tcf(c_173704,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_168397,c_168421]) ).
tcf(c_173705,plain,
m1_subset_1(sK12(k1_zfmisc_1(iPr_def_18)),iPr_def_19),
inference(superposition,[status(thm)],[c_168435,c_168421]) ).
tcf(c_173708,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_168783,c_168421]) ).
tcf(c_173709,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_168960,c_168421]) ).
tcf(c_173710,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_169723,c_168421]) ).
tcf(c_173711,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_169942,c_168421]) ).
tcf(c_173712,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_169968,c_168421]) ).
tcf(c_173713,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_168380,c_168421]) ).
tcf(c_173714,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_168375,c_168421]) ).
tcf(c_173715,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_171942,c_168421]) ).
tcf(c_173716,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_168370,c_168421]) ).
tcf(c_173717,plain,
m1_subset_1(sK12(iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_168480,c_168421]) ).
tcf(c_173821,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_173701,c_298]) ).
tcf(c_173822,plain,
( v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(iPr_def_18,sK3) ),
inference(superposition,[status(thm)],[c_173701,c_170125]) ).
tcf(c_173823,plain,
r2_hidden(iPr_def_18,iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_173821,c_14497]) ).
tcf(c_173835,plain,
! [X0: $i] :
( r2_hidden(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_173823,c_151]) ).
tcf(c_173836,plain,
~ r2_hidden(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_173823,c_60]) ).
tcf(c_173839,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_173823,c_8246]) ).
tcf(c_173840,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_173823,c_8233]) ).
tcf(c_173858,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_19)
| r2_hidden(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_173700,c_298]) ).
tcf(c_173862,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_173700,c_168788]) ).
tcf(c_173863,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_173700,c_168965]) ).
tcf(c_173864,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_173700,c_169728]) ).
tcf(c_173865,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_173700,c_169947]) ).
tcf(c_173866,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_173700,c_169973]) ).
tcf(c_173867,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_173700,c_171971]) ).
tcf(c_173871,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173858,c_14497]) ).
tcf(c_173928,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_173871,c_151]) ).
tcf(c_173929,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_173871,c_60]) ).
tcf(c_173932,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_173871,c_8246]) ).
tcf(c_173933,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_173871,c_8233]) ).
tcf(c_173934,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_19)
| ~ v1_xboole_0(sK6(X0,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_173871,c_149]) ).
tcf(c_173989,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_173605,c_17247]) ).
tcf(c_174047,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_8223,c_169395]) ).
tcf(c_174048,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_169395,c_170897]) ).
tcf(c_174049,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_169395,c_168421]) ).
tcf(c_174050,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_174047,c_8225]) ).
tcf(c_174051,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_174050,c_8253]) ).
tcf(c_174054,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_174049,c_8212]) ).
tcf(c_174065,plain,
~ r2_hidden(k1_zfmisc_1(iPr_def_28),sK11(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_8221,c_171751]) ).
tcf(c_174071,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168266,c_168422]) ).
tcf(c_174072,plain,
m1_subset_1(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_288,c_168422]) ).
tcf(c_174074,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_168389,c_168422]) ).
tcf(c_174075,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_168397,c_168422]) ).
tcf(c_174076,plain,
m1_subset_1(sK12(k1_zfmisc_1(iPr_def_20)),iPr_def_21),
inference(superposition,[status(thm)],[c_168435,c_168422]) ).
tcf(c_174080,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_169395,c_168422]) ).
tcf(c_174086,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_171942,c_168422]) ).
tcf(c_174088,plain,
m1_subset_1(sK12(iPr_def_21),iPr_def_21),
inference(superposition,[status(thm)],[c_168481,c_168422]) ).
tcf(c_174092,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_174080,c_8214]) ).
tcf(c_174107,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(iPr_def_20,iPr_def_21) ),
inference(superposition,[status(thm)],[c_174072,c_298]) ).
tcf(c_174108,plain,
( v1_tsp_1(iPr_def_20,sK2)
| ~ v1_tsp_2(iPr_def_20,sK2) ),
inference(superposition,[status(thm)],[c_174072,c_170130]) ).
tcf(c_174109,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_174072,c_167885]) ).
tcf(c_174110,plain,
r2_hidden(iPr_def_20,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_174107,c_14778]) ).
tcf(c_174145,plain,
! [X0: $i] :
( r2_hidden(iPr_def_20,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_174110,c_151]) ).
tcf(c_174146,plain,
~ r2_hidden(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_174110,c_60]) ).
tcf(c_174149,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_174110,c_8246]) ).
tcf(c_174150,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_174110,c_8233]) ).
tcf(c_174183,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_21)
| r2_hidden(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174071,c_298]) ).
tcf(c_174185,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_174071,c_167885]) ).
tcf(c_174187,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174183,c_14778]) ).
tcf(c_174198,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_174187,c_151]) ).
tcf(c_174199,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_174187,c_60]) ).
tcf(c_174202,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_174187,c_8246]) ).
tcf(c_174203,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_174187,c_8233]) ).
tcf(c_174204,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_21)
| ~ v1_xboole_0(sK6(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_174187,c_149]) ).
tcf(c_174259,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_8223,c_174048]) ).
tcf(c_174260,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_174259,c_8223,c_8225]) ).
tcf(c_174261,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_174260,c_8253]) ).
tcf(c_174274,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_172,c_169483]) ).
tcf(c_174275,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_174071,c_169483]) ).
tcf(c_174276,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_8236,c_169483]) ).
tcf(c_174277,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_8238,c_169483]) ).
tcf(c_174278,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_8240,c_169483]) ).
tcf(c_174280,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_170073,c_169483]) ).
tcf(c_174281,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_168221,c_169483]) ).
tcf(c_174282,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_168230,c_169483]) ).
tcf(c_174283,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_168076,c_169483]) ).
tcf(c_174284,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_168082,c_169483]) ).
tcf(c_174285,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_168083,c_169483]) ).
tcf(c_174287,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_168405,c_169483]) ).
tcf(c_174288,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_174072,c_169483]) ).
tcf(c_174289,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_168543,c_169483]) ).
tcf(c_174290,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_168865,c_169483]) ).
tcf(c_174291,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_169316,c_169483]) ).
tcf(c_174292,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_169147,c_169483]) ).
tcf(c_174293,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_169169,c_169483]) ).
tcf(c_174294,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_169200,c_169483]) ).
tcf(c_174295,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_170789,c_169483]) ).
tcf(c_174431,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_174292,c_171148]) ).
tcf(c_174432,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_174292,c_173106]) ).
tcf(c_174433,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_174292,c_168269]) ).
tcf(c_174434,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_174292,c_167658]) ).
tcf(c_174435,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_174431,c_169147]) ).
tcf(c_174439,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_174432,c_169147]) ).
tcf(c_174444,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_174433,c_169147]) ).
tcf(c_174448,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_174434,c_169147]) ).
tcf(c_174471,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_174293,c_171148]) ).
tcf(c_174472,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_174293,c_173106]) ).
tcf(c_174473,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_174293,c_168269]) ).
tcf(c_174474,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_174293,c_167658]) ).
tcf(c_174475,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_174471,c_169169]) ).
tcf(c_174479,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_174472,c_169169]) ).
tcf(c_174484,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_174473,c_169169]) ).
tcf(c_174488,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_174474,c_169169]) ).
tcf(c_174558,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_174294,c_171148]) ).
tcf(c_174559,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_174294,c_173106]) ).
tcf(c_174560,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_174294,c_168269]) ).
tcf(c_174561,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_174294,c_167658]) ).
tcf(c_174562,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_174558,c_169200]) ).
tcf(c_174566,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_174559,c_169200]) ).
tcf(c_174571,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_174560,c_169200]) ).
tcf(c_174575,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_174561,c_169200]) ).
tcf(c_174610,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_174289,c_171148]) ).
tcf(c_174611,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_174289,c_173106]) ).
tcf(c_174612,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_174289,c_168269]) ).
tcf(c_174613,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_174289,c_167658]) ).
tcf(c_174614,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_174610,c_168543]) ).
tcf(c_174618,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_174611,c_168543]) ).
tcf(c_174623,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_174612,c_168543]) ).
tcf(c_174627,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_174613,c_168543]) ).
tcf(c_174638,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_174290,c_171148]) ).
tcf(c_174639,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_174290,c_173106]) ).
tcf(c_174640,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_174290,c_168269]) ).
tcf(c_174641,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_174290,c_167658]) ).
tcf(c_174642,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_174638,c_168865]) ).
tcf(c_174646,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_174639,c_168865]) ).
tcf(c_174651,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_174640,c_168865]) ).
tcf(c_174655,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_174641,c_168865]) ).
tcf(c_174677,plain,
~ m1_subset_1(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_170420,c_168242]) ).
tcf(c_174678,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_173871,c_168242]) ).
tcf(c_174687,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168266,c_168423]) ).
tcf(c_174688,plain,
m1_subset_1(iPr_def_28,iPr_def_29),
inference(superposition,[status(thm)],[c_288,c_168423]) ).
tcf(c_174690,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_168389,c_168423]) ).
tcf(c_174691,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_168397,c_168423]) ).
tcf(c_174692,plain,
m1_subset_1(sK12(k1_zfmisc_1(iPr_def_28)),iPr_def_29),
inference(superposition,[status(thm)],[c_168435,c_168423]) ).
tcf(c_174694,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_168783,c_168423]) ).
tcf(c_174695,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_168960,c_168423]) ).
tcf(c_174696,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_169395,c_168423]) ).
tcf(c_174697,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_169723,c_168423]) ).
tcf(c_174698,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_169942,c_168423]) ).
tcf(c_174699,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_169968,c_168423]) ).
tcf(c_174700,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_168380,c_168423]) ).
tcf(c_174701,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_168375,c_168423]) ).
tcf(c_174702,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_171942,c_168423]) ).
tcf(c_174703,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_168370,c_168423]) ).
tcf(c_174704,plain,
m1_subset_1(sK12(iPr_def_29),iPr_def_29),
inference(superposition,[status(thm)],[c_168482,c_168423]) ).
tcf(c_174708,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_174696,c_8222]) ).
tcf(c_174814,plain,
( v1_xboole_0(iPr_def_29)
| r2_hidden(iPr_def_28,iPr_def_29) ),
inference(superposition,[status(thm)],[c_174688,c_298]) ).
tcf(c_174815,plain,
r2_hidden(iPr_def_28,iPr_def_29),
inference(forward_subsumption_resolution,[status(thm)],[c_174814,c_167809]) ).
tcf(c_174816,plain,
! [X0: $i] :
( r2_hidden(iPr_def_28,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_174815,c_151]) ).
tcf(c_174817,plain,
~ r2_hidden(iPr_def_29,iPr_def_28),
inference(superposition,[status(thm)],[c_174815,c_60]) ).
tcf(c_174820,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_174815,c_8246]) ).
tcf(c_174821,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_174815,c_8233]) ).
tcf(c_174843,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_29)
| r2_hidden(X0,iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174687,c_298]) ).
tcf(c_174844,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174843,c_167809]) ).
tcf(c_174851,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X1,X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_174844,c_151]) ).
tcf(c_174852,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_174844,c_60]) ).
tcf(c_174855,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_174844,c_8246]) ).
tcf(c_174856,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_174844,c_8233]) ).
tcf(c_174857,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_29)
| ~ v1_xboole_0(sK6(X0,iPr_def_29)) ),
inference(superposition,[status(thm)],[c_174844,c_149]) ).
tcf(c_174858,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_174844,c_168242]) ).
tcf(c_174909,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_169797,c_174280]) ).
tcf(c_174910,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_174280,c_171148]) ).
tcf(c_174911,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_174280,c_173106]) ).
tcf(c_174912,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_174280,c_168269]) ).
tcf(c_174913,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_174280,c_167658]) ).
tcf(c_174914,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_174280,c_167764]) ).
tcf(c_174915,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_174909,c_169797]) ).
tcf(c_174987,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_173871,c_168243]) ).
tcf(c_174988,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_174187,c_168243]) ).
tcf(c_174989,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_174844,c_168243]) ).
tcf(c_175002,plain,
r1_tarski(sK11(iPr_def_20,iPr_def_18),iPr_def_28),
inference(superposition,[status(thm)],[c_8221,c_168438]) ).
tcf(c_175003,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_168438,c_170897]) ).
tcf(c_175013,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_175002,c_170897]) ).
tcf(c_175027,plain,
r1_tarski(sK13(iPr_def_20,iPr_def_18),iPr_def_28),
inference(superposition,[status(thm)],[c_8221,c_168439]) ).
tcf(c_175028,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_168439,c_170897]) ).
tcf(c_175034,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_175027,c_170897]) ).
tcf(c_175061,plain,
r1_tarski(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_8228,c_168446]) ).
tcf(c_175062,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_18)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_173700,c_168446]) ).
tcf(c_175063,plain,
r1_tarski(iPr_def_25,iPr_def_18),
inference(superposition,[status(thm)],[c_8248,c_168446]) ).
tcf(c_175064,plain,
r1_tarski(iPr_def_26,iPr_def_18),
inference(superposition,[status(thm)],[c_8250,c_168446]) ).
tcf(c_175065,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_170069,c_168446]) ).
tcf(c_175067,plain,
r1_tarski(sK16(iPr_def_18),iPr_def_18),
inference(superposition,[status(thm)],[c_168077,c_168446]) ).
tcf(c_175068,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_168082,c_168446]) ).
tcf(c_175069,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_168083,c_168446]) ).
tcf(c_175070,plain,
r1_tarski(k1_xboole_0,iPr_def_18),
inference(superposition,[status(thm)],[c_168111,c_168446]) ).
tcf(c_175071,plain,
r1_tarski(sK22(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_168567,c_168446]) ).
tcf(c_175072,plain,
r1_tarski(iPr_def_18,iPr_def_18),
inference(superposition,[status(thm)],[c_173701,c_168446]) ).
tcf(c_175073,plain,
r1_tarski(u1_struct_0(sK10(sK3)),iPr_def_18),
inference(superposition,[status(thm)],[c_168541,c_168446]) ).
tcf(c_175074,plain,
r1_tarski(u1_struct_0(sK14(sK3)),iPr_def_18),
inference(superposition,[status(thm)],[c_168863,c_168446]) ).
tcf(c_175075,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_169316,c_168446]) ).
tcf(c_175076,plain,
r1_tarski(sK17(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_169145,c_168446]) ).
tcf(c_175077,plain,
r1_tarski(sK19(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_169167,c_168446]) ).
tcf(c_175078,plain,
r1_tarski(sK25(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_169198,c_168446]) ).
tcf(c_175079,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_169760,c_168446]) ).
tcf(c_175080,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_169771,c_168446]) ).
tcf(c_175081,plain,
r1_tarski(iPr_def_31,iPr_def_18),
inference(superposition,[status(thm)],[c_169780,c_168446]) ).
tcf(c_175082,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_170783,c_168446]) ).
tcf(c_175217,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_175061,c_170897]) ).
tcf(c_175219,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_175217,c_170458,c_8255]) ).
tcf(c_175223,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_175063,c_170897]) ).
tcf(c_175225,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_175223,c_170458,c_8255]) ).
tcf(c_175308,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_168646,c_151]) ).
tcf(c_175309,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_168646,c_60]) ).
tcf(c_175312,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_168646,c_8246]) ).
tcf(c_175313,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_168646,c_8233]) ).
tcf(c_175332,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_20)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174071,c_168447]) ).
tcf(c_175333,plain,
r1_tarski(iPr_def_22,iPr_def_20),
inference(superposition,[status(thm)],[c_8236,c_168447]) ).
tcf(c_175334,plain,
r1_tarski(iPr_def_23,iPr_def_20),
inference(superposition,[status(thm)],[c_8238,c_168447]) ).
tcf(c_175335,plain,
r1_tarski(iPr_def_24,iPr_def_20),
inference(superposition,[status(thm)],[c_8240,c_168447]) ).
tcf(c_175336,plain,
r1_tarski(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_8255,c_168447]) ).
tcf(c_175337,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_170073,c_168447]) ).
tcf(c_175338,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_168221,c_168447]) ).
tcf(c_175339,plain,
r1_tarski(iPr_def_32,iPr_def_20),
inference(superposition,[status(thm)],[c_168230,c_168447]) ).
tcf(c_175340,plain,
r1_tarski(sK16(iPr_def_20),iPr_def_20),
inference(superposition,[status(thm)],[c_168076,c_168447]) ).
tcf(c_175341,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_168082,c_168447]) ).
tcf(c_175342,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_168083,c_168447]) ).
tcf(c_175343,plain,
r1_tarski(k1_xboole_0,iPr_def_20),
inference(superposition,[status(thm)],[c_168112,c_168447]) ).
tcf(c_175344,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_168405,c_168447]) ).
tcf(c_175345,plain,
r1_tarski(iPr_def_20,iPr_def_20),
inference(superposition,[status(thm)],[c_174072,c_168447]) ).
tcf(c_175346,plain,
r1_tarski(u1_struct_0(sK10(sK2)),iPr_def_20),
inference(superposition,[status(thm)],[c_168543,c_168447]) ).
tcf(c_175347,plain,
r1_tarski(u1_struct_0(sK14(sK2)),iPr_def_20),
inference(superposition,[status(thm)],[c_168865,c_168447]) ).
tcf(c_175348,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_169316,c_168447]) ).
tcf(c_175349,plain,
r1_tarski(sK17(sK2),iPr_def_20),
inference(superposition,[status(thm)],[c_169147,c_168447]) ).
tcf(c_175350,plain,
r1_tarski(sK19(sK2),iPr_def_20),
inference(superposition,[status(thm)],[c_169169,c_168447]) ).
tcf(c_175351,plain,
r1_tarski(sK25(sK2),iPr_def_20),
inference(superposition,[status(thm)],[c_169200,c_168447]) ).
tcf(c_175352,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_170789,c_168447]) ).
tcf(c_175452,plain,
r1_tarski(sK4,iPr_def_28),
inference(superposition,[status(thm)],[c_8258,c_168448]) ).
tcf(c_175455,plain,
r1_tarski(sK16(iPr_def_28),iPr_def_28),
inference(superposition,[status(thm)],[c_172440,c_168448]) ).
tcf(c_175456,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_168082,c_168448]) ).
tcf(c_175457,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_168083,c_168448]) ).
tcf(c_175458,plain,
r1_tarski(k1_xboole_0,iPr_def_28),
inference(superposition,[status(thm)],[c_168113,c_168448]) ).
tcf(c_175459,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_28)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_174687,c_168448]) ).
tcf(c_175460,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_169316,c_168448]) ).
tcf(c_175461,plain,
r1_tarski(iPr_def_28,iPr_def_28),
inference(superposition,[status(thm)],[c_174688,c_168448]) ).
tcf(c_175489,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_168643,c_151]) ).
tcf(c_175490,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK16(X0)) ),
inference(superposition,[status(thm)],[c_168643,c_60]) ).
tcf(c_175493,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_168643,c_8246]) ).
tcf(c_175494,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_168643,c_8233]) ).
tcf(c_175556,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_170634,c_169065]) ).
tcf(c_175557,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_170628,c_169065]) ).
tcf(c_175562,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_175556,c_168230]) ).
tcf(c_175566,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_175064,c_170897]) ).
tcf(c_175568,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_175566,c_170458,c_8255]) ).
tcf(c_175572,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_175081,c_170897]) ).
tcf(c_175574,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_175572,c_170458,c_8255]) ).
tcf(c_175578,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_175333,c_170897]) ).
tcf(c_175580,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_175578,c_8236,c_174072]) ).
tcf(c_175584,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_175334,c_170897]) ).
tcf(c_175586,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_175584,c_8238,c_174072]) ).
tcf(c_175590,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_175349,c_170897]) ).
tcf(c_175592,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_175590,c_174072,c_169147]) ).
tcf(c_175596,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_175350,c_170897]) ).
tcf(c_175598,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_175596,c_174072,c_169169]) ).
tcf(c_175620,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_175351,c_170897]) ).
tcf(c_175622,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_175620,c_174072,c_169200]) ).
tcf(c_175626,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_175346,c_170897]) ).
tcf(c_175628,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_175626,c_174072,c_168543]) ).
tcf(c_175632,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_175347,c_170897]) ).
tcf(c_175634,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_175632,c_174072,c_168865]) ).
tcf(c_175643,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_175337,c_170897]) ).
tcf(c_175645,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_175643,c_174072]) ).
tcf(c_175668,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_168649,c_151]) ).
tcf(c_175669,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_168649,c_60]) ).
tcf(c_175672,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_168649,c_8246]) ).
tcf(c_175673,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_168649,c_8233]) ).
tcf(c_175693,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_170634,c_169066]) ).
tcf(c_175694,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_170628,c_169066]) ).
tcf(c_175709,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_170634,c_169067]) ).
tcf(c_175710,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_170628,c_169067]) ).
tcf(c_175715,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_175709,c_174072]) ).
tcf(c_175725,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_170634,c_169068]) ).
tcf(c_175726,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_170628,c_169068]) ).
tcf(c_175743,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_170634,c_169069]) ).
tcf(c_175744,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_170628,c_169069]) ).
tcf(c_175763,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_175335,c_170897]) ).
tcf(c_175765,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_175763,c_8240,c_174072]) ).
tcf(c_175769,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_175336,c_170897]) ).
tcf(c_175771,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ v1_tsp_1(iPr_def_20,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175769,c_8257,c_174072,c_8255]) ).
tcf(c_175774,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_175339,c_170897]) ).
tcf(c_175776,plain,
r2_hidden(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_175339,c_169065]) ).
tcf(c_175777,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_175774,c_168230,c_174072]) ).
tcf(c_175781,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_175452,c_170897]) ).
tcf(c_175802,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_175352,c_170897]) ).
tcf(c_175804,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_175352,c_171633]) ).
tcf(c_175810,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_175802,c_174072]) ).
tcf(c_175838,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_175693,c_151]) ).
tcf(c_175839,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_175693,c_60]) ).
tcf(c_175840,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_175693,c_304]) ).
tcf(c_175841,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_175693,c_293]) ).
tcf(c_175842,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_175693,c_8246]) ).
tcf(c_175843,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_175693,c_8233]) ).
tcf(c_175899,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_175725,c_151]) ).
tcf(c_175900,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_175725,c_60]) ).
tcf(c_175901,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_175725,c_304]) ).
tcf(c_175902,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_175725,c_293]) ).
tcf(c_175903,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_175725,c_8246]) ).
tcf(c_175904,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_175725,c_8233]) ).
tcf(c_175942,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_175743,c_151]) ).
tcf(c_175943,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_175743,c_60]) ).
tcf(c_175944,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_175743,c_304]) ).
tcf(c_175945,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_175743,c_293]) ).
tcf(c_175946,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_175743,c_8246]) ).
tcf(c_175947,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_175743,c_8233]) ).
tcf(c_176015,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175776,c_151]) ).
tcf(c_176016,plain,
~ r2_hidden(iPr_def_20,iPr_def_30),
inference(superposition,[status(thm)],[c_175776,c_60]) ).
tcf(c_176018,plain,
m1_subset_1(iPr_def_30,iPr_def_20),
inference(superposition,[status(thm)],[c_175776,c_293]) ).
tcf(c_176019,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_175776,c_8246]) ).
tcf(c_176020,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_175776,c_8233]) ).
tcf(c_176023,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_176020,c_174072]) ).
tcf(c_176026,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_176019,c_8224,c_169852]) ).
tcf(c_176041,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_176018,c_170212]) ).
tcf(c_176042,plain,
k4_tex_4(sK2,iPr_def_30) = k2_tex_4(sK2,iPr_def_30),
inference(superposition,[status(thm)],[c_176018,c_169784]) ).
tcf(c_176043,plain,
k1_struct_0(sK2,iPr_def_30) = k1_tarski(iPr_def_30),
inference(superposition,[status(thm)],[c_176018,c_169475]) ).
tcf(c_176044,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_176018,c_167838]) ).
tcf(c_176045,plain,
k1_struct_0(sK2,iPr_def_30) = iPr_def_31,
inference(light_normalisation,[status(thm)],[c_176043,c_169552]) ).
tcf(c_176048,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_167970,c_176042]) ).
tcf(c_176063,plain,
( r2_hidden(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_176045,c_168646]) ).
tcf(c_176064,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_176045,c_170446]) ).
tcf(c_176065,plain,
( m1_subset_1(iPr_def_31,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_176045,c_168405]) ).
tcf(c_176066,plain,
m1_subset_1(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_176065,c_176018]) ).
tcf(c_176067,plain,
r2_hidden(iPr_def_31,iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_176063,c_176018]) ).
tcf(c_176068,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_176064,c_176045]) ).
tcf(c_176069,plain,
( v1_tsp_1(iPr_def_31,sK2)
| ~ v1_tsp_2(iPr_def_31,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176068,c_176018]) ).
tcf(c_176076,plain,
r1_tarski(iPr_def_31,iPr_def_20),
inference(superposition,[status(thm)],[c_176066,c_168447]) ).
tcf(c_176077,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_176066,c_169483]) ).
tcf(c_176079,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_176066,c_167885]) ).
tcf(c_176105,plain,
! [X0: $i] :
( r2_hidden(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_176067,c_151]) ).
tcf(c_176106,plain,
~ r2_hidden(iPr_def_21,iPr_def_31),
inference(superposition,[status(thm)],[c_176067,c_60]) ).
tcf(c_176109,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_176067,c_8246]) ).
tcf(c_176110,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_176067,c_8233]) ).
tcf(c_176171,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_176076,c_170897]) ).
tcf(c_176173,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_176171,c_176066,c_174072]) ).
tcf(c_176190,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_175067,c_170897]) ).
tcf(c_176192,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_176190,c_170458,c_8255]) ).
tcf(c_176202,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_174444,c_170897]) ).
tcf(c_176203,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_174444,c_168421]) ).
tcf(c_176205,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_174444,c_168423]) ).
tcf(c_176212,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_176202,c_169147]) ).
tcf(c_176225,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_174484,c_170897]) ).
tcf(c_176226,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_174484,c_168421]) ).
tcf(c_176228,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_174484,c_168423]) ).
tcf(c_176235,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_176225,c_169169]) ).
tcf(c_176262,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_174571,c_170897]) ).
tcf(c_176263,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_174571,c_168421]) ).
tcf(c_176265,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_174571,c_168423]) ).
tcf(c_176272,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_176262,c_169200]) ).
tcf(c_176292,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_173700,c_174448]) ).
tcf(c_176313,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_173700,c_174488]) ).
tcf(c_176339,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_173700,c_174575]) ).
tcf(c_176350,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_174623,c_170897]) ).
tcf(c_176351,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_174623,c_168421]) ).
tcf(c_176353,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_174623,c_168423]) ).
tcf(c_176360,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_176350,c_168543]) ).
tcf(c_176373,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_174651,c_170897]) ).
tcf(c_176374,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_174651,c_168421]) ).
tcf(c_176376,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_174651,c_168423]) ).
tcf(c_176383,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_176373,c_168865]) ).
tcf(c_176417,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_170634,c_169071]) ).
tcf(c_176418,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_170628,c_169071]) ).
tcf(c_176433,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_170634,c_169072]) ).
tcf(c_176434,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_170628,c_169072]) ).
tcf(c_176449,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_170634,c_169073]) ).
tcf(c_176450,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_170628,c_169073]) ).
tcf(c_176465,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_170634,c_169074]) ).
tcf(c_176466,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_170628,c_169074]) ).
tcf(c_176591,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_175071,c_170897]) ).
tcf(c_176593,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_176591,c_170458,c_8255]) ).
tcf(c_176597,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_175076,c_170897]) ).
tcf(c_176599,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_176597,c_170458,c_8255]) ).
tcf(c_176603,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_175077,c_170897]) ).
tcf(c_176605,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_176603,c_170458,c_8255]) ).
tcf(c_176609,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_175078,c_170897]) ).
tcf(c_176611,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_176609,c_170458,c_8255]) ).
tcf(c_176623,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_176417,c_151]) ).
tcf(c_176624,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_176417,c_60]) ).
tcf(c_176626,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_176417,c_293]) ).
tcf(c_176627,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_176417,c_8246]) ).
tcf(c_176628,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_176417,c_8233]) ).
tcf(c_176662,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_176433,c_151]) ).
tcf(c_176663,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_176433,c_60]) ).
tcf(c_176665,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_176433,c_293]) ).
tcf(c_176666,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_176433,c_8246]) ).
tcf(c_176667,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_176433,c_8233]) ).
tcf(c_176701,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_176449,c_151]) ).
tcf(c_176702,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_176449,c_60]) ).
tcf(c_176704,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_176449,c_293]) ).
tcf(c_176705,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_176449,c_8246]) ).
tcf(c_176706,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_176449,c_8233]) ).
tcf(c_176742,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_176465,c_151]) ).
tcf(c_176743,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_176465,c_60]) ).
tcf(c_176745,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_176465,c_293]) ).
tcf(c_176746,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_176465,c_8246]) ).
tcf(c_176747,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_176465,c_8233]) ).
tcf(c_176791,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_173700,c_174627]) ).
tcf(c_176804,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_173700,c_174655]) ).
tcf(c_176838,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_168655,c_151]) ).
tcf(c_176839,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_168655,c_60]) ).
tcf(c_176842,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_168655,c_8246]) ).
tcf(c_176843,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_168655,c_8233]) ).
tcf(c_176849,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_176843,c_170458,c_8255]) ).
tcf(c_176852,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_176842,c_173701]) ).
tcf(c_176863,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_170628,c_169075]) ).
tcf(c_176865,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_176863,c_173701]) ).
tcf(c_176875,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_170634,c_169205]) ).
tcf(c_176876,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_170628,c_169205]) ).
tcf(c_176891,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_170634,c_169219]) ).
tcf(c_176892,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_170628,c_169219]) ).
tcf(c_176920,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_170634,c_169247]) ).
tcf(c_176921,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_170628,c_169247]) ).
tcf(c_176930,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_175340,c_170897]) ).
tcf(c_176932,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_176930,c_174072,c_168076]) ).
tcf(c_176936,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_175455,c_170897]) ).
tcf(c_176943,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_175073,c_170897]) ).
tcf(c_176945,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_176943,c_170458,c_8255]) ).
tcf(c_176949,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_175074,c_170897]) ).
tcf(c_176951,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_176949,c_170458,c_8255]) ).
tcf(c_176963,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_176875,c_151]) ).
tcf(c_176964,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_176875,c_60]) ).
tcf(c_176966,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_176875,c_293]) ).
tcf(c_176967,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_176875,c_8246]) ).
tcf(c_176968,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_176875,c_8233]) ).
tcf(c_177002,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_176891,c_151]) ).
tcf(c_177003,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_176891,c_60]) ).
tcf(c_177005,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_176891,c_293]) ).
tcf(c_177006,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_176891,c_8246]) ).
tcf(c_177007,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_176891,c_8233]) ).
tcf(c_177041,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_176920,c_151]) ).
tcf(c_177042,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_176920,c_60]) ).
tcf(c_177044,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_176920,c_293]) ).
tcf(c_177045,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_176920,c_8246]) ).
tcf(c_177046,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_176920,c_8233]) ).
tcf(c_177133,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_169535,c_151]) ).
tcf(c_177134,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_169535,c_60]) ).
tcf(c_177135,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_169535,c_304]) ).
tcf(c_177137,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_169535,c_8246]) ).
tcf(c_177138,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_169535,c_8233]) ).
tcf(c_177162,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_170634,c_169261]) ).
tcf(c_177163,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_170628,c_169261]) ).
tcf(c_177178,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_170634,c_169384]) ).
tcf(c_177179,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_170628,c_169384]) ).
tcf(c_177192,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_170634,c_169399]) ).
tcf(c_177193,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_170628,c_169399]) ).
tcf(c_177199,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_177192,c_168230]) ).
tcf(c_177217,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_170634,c_169461]) ).
tcf(c_177218,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_170628,c_169461]) ).
tcf(c_177227,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_169484,c_168646]) ).
tcf(c_177228,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_169484,c_170446]) ).
tcf(c_177229,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_169484,c_168405]) ).
tcf(c_177230,plain,
m1_subset_1(k1_tarski(iPr_def_27),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_177229,c_8253]) ).
tcf(c_177231,plain,
r2_hidden(k1_tarski(iPr_def_27),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_177227,c_8253]) ).
tcf(c_177232,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_177228,c_169484]) ).
tcf(c_177233,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_177232,c_8253]) ).
tcf(c_177244,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_177162,c_151]) ).
tcf(c_177245,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_177162,c_60]) ).
tcf(c_177247,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_177162,c_293]) ).
tcf(c_177248,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_177162,c_8246]) ).
tcf(c_177249,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_177162,c_8233]) ).
tcf(c_177283,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_177217,c_151]) ).
tcf(c_177284,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_177217,c_60]) ).
tcf(c_177286,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_177217,c_293]) ).
tcf(c_177287,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_177217,c_8246]) ).
tcf(c_177288,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_177217,c_8233]) ).
tcf(c_177363,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_175562,c_60]) ).
tcf(c_177366,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_175562,c_8246]) ).
tcf(c_177378,plain,
( ( iPr_def_18 = iPr_def_31 )
| ~ v1_tsp_2(iPr_def_31,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_175574,c_18828,c_19370]) ).
tcf(c_177390,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_177231,c_151]) ).
tcf(c_177391,plain,
~ r2_hidden(iPr_def_21,k1_tarski(iPr_def_27)),
inference(superposition,[status(thm)],[c_177231,c_60]) ).
tcf(c_177394,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_177231,c_8246]) ).
tcf(c_177395,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_177231,c_8233]) ).
tcf(c_177405,plain,
r1_tarski(k1_tarski(iPr_def_27),iPr_def_20),
inference(superposition,[status(thm)],[c_177230,c_168447]) ).
tcf(c_177406,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_177230,c_169483]) ).
tcf(c_177408,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_177230,c_167885]) ).
tcf(c_177420,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_170634,c_169871]) ).
tcf(c_177421,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_170628,c_169871]) ).
tcf(c_177434,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_169060,c_172930]) ).
tcf(c_177435,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_169061,c_172930]) ).
tcf(c_177445,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_177405,c_170897]) ).
tcf(c_177447,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_177445,c_174072,c_177230]) ).
tcf(c_177455,plain,
v1_tsp_1(k1_xboole_0,sK3),
inference(global_subsumption_just,[status(thm)],[c_172473,c_11216]) ).
tcf(c_177471,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_177420,c_151]) ).
tcf(c_177472,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_177420,c_60]) ).
tcf(c_177474,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_177420,c_293]) ).
tcf(c_177475,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_177420,c_8246]) ).
tcf(c_177476,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_177420,c_8233]) ).
tcf(c_177514,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_175715,c_151]) ).
tcf(c_177515,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_175715,c_60]) ).
tcf(c_177516,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_175715,c_304]) ).
tcf(c_177517,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_175715,c_293]) ).
tcf(c_177518,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_175715,c_8246]) ).
tcf(c_177519,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_175715,c_8233]) ).
tcf(c_177533,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_177519,c_8225,c_169484]) ).
tcf(c_177583,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_177199,c_298]) ).
tcf(c_177592,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_174276,c_171148]) ).
tcf(c_177593,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_174276,c_173106]) ).
tcf(c_177594,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_174276,c_168269]) ).
tcf(c_177595,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_174276,c_167658]) ).
tcf(c_177596,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_177592,c_8236]) ).
tcf(c_177600,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_177593,c_8236]) ).
tcf(c_177605,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_177594,c_8236]) ).
tcf(c_177609,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_177595,c_8236]) ).
tcf(c_177618,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_169768,c_151]) ).
tcf(c_177619,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_169768,c_60]) ).
tcf(c_177622,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_169768,c_8246]) ).
tcf(c_177623,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_169768,c_8233]) ).
tcf(c_177643,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_170634,c_173094]) ).
tcf(c_177644,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_170628,c_173094]) ).
tcf(c_177650,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_177643,c_168230]) ).
tcf(c_177660,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_170634,c_173835]) ).
tcf(c_177661,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_170628,c_173835]) ).
tcf(c_177676,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_170634,c_174145]) ).
tcf(c_177677,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_170628,c_174145]) ).
tcf(c_177696,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_170634,c_174816]) ).
tcf(c_177697,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_170628,c_174816]) ).
tcf(c_177714,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_177660,c_151]) ).
tcf(c_177715,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_177660,c_60]) ).
tcf(c_177717,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_177660,c_293]) ).
tcf(c_177718,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_177660,c_8246]) ).
tcf(c_177719,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_177660,c_8233]) ).
tcf(c_177769,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_177676,c_151]) ).
tcf(c_177770,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_177676,c_60]) ).
tcf(c_177772,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_177676,c_293]) ).
tcf(c_177773,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_177676,c_8246]) ).
tcf(c_177774,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_177676,c_8233]) ).
tcf(c_177808,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_177696,c_151]) ).
tcf(c_177809,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_177696,c_60]) ).
tcf(c_177811,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_177696,c_293]) ).
tcf(c_177812,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_177696,c_8246]) ).
tcf(c_177813,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_177696,c_8233]) ).
tcf(c_177903,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_177650,c_151]) ).
tcf(c_177904,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_177650,c_60]) ).
tcf(c_177906,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_177650,c_293]) ).
tcf(c_177907,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_177650,c_8246]) ).
tcf(c_177908,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_177650,c_8233]) ).
tcf(c_177919,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_177908,c_8225,c_169484]) ).
tcf(c_177934,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_174277,c_171148]) ).
tcf(c_177935,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_174277,c_173106]) ).
tcf(c_177936,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_174277,c_168269]) ).
tcf(c_177937,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_174277,c_167658]) ).
tcf(c_177938,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_177934,c_8238]) ).
tcf(c_177942,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_177935,c_8238]) ).
tcf(c_177947,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_177936,c_8238]) ).
tcf(c_177951,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_177937,c_8238]) ).
tcf(c_177971,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_174278,c_171148]) ).
tcf(c_177972,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_174278,c_173106]) ).
tcf(c_177973,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_174278,c_168269]) ).
tcf(c_177974,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_174278,c_167658]) ).
tcf(c_177975,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_177971,c_8240]) ).
tcf(c_177979,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_177972,c_8240]) ).
tcf(c_177984,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_177973,c_8240]) ).
tcf(c_177988,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_177974,c_8240]) ).
tcf(c_178010,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_169781,c_151]) ).
tcf(c_178011,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_169781,c_60]) ).
tcf(c_178014,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_169781,c_8246]) ).
tcf(c_178015,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_169781,c_8233]) ).
tcf(c_178059,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_170634,c_176015]) ).
tcf(c_178060,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_170628,c_176015]) ).
tcf(c_178065,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_178059,c_174072]) ).
tcf(c_178075,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_170634,c_176105]) ).
tcf(c_178076,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_170628,c_176105]) ).
tcf(c_178090,plain,
sK22(sK8) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_168106]) ).
tcf(c_178091,plain,
sK22(sK3) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_168106]) ).
tcf(c_178092,plain,
! [X0: $i] :
( ( sK22(sK14(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_168106]) ).
tcf(c_178093,plain,
! [X0: $i] :
( ( sK22(sK10(X0)) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_168106]) ).
tcf(c_178102,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ l1_pre_topc(sK8) ),
inference(superposition,[status(thm)],[c_178090,c_253]) ).
tcf(c_178104,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_178091,c_253]) ).
tcf(c_178106,plain,
( m1_subset_1(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_178104,c_8211,c_8212]) ).
tcf(c_178116,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_168267,c_300]) ).
tcf(c_178117,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_168267,c_157]) ).
tcf(c_178118,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_168267,c_154]) ).
tcf(c_178119,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_168267,c_153]) ).
tcf(c_178120,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_168267,c_156]) ).
tcf(c_178121,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_168267,c_6730]) ).
tcf(c_178122,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r1_tarski(sK6(iPr_def_21,X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_168267,c_168447]) ).
tcf(c_178123,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_168267,c_169483]) ).
tcf(c_178124,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_168267,c_170130]) ).
tcf(c_178125,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_168267,c_167885]) ).
tcf(c_178126,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_168267,c_170212]) ).
tcf(c_178127,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_168267,c_169784]) ).
tcf(c_178128,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_168267,c_169475]) ).
tcf(c_178129,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_168267,c_167838]) ).
tcf(c_178130,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r1_tarski(sK6(iPr_def_19,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_168267,c_168446]) ).
tcf(c_178131,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_168267,c_170125]) ).
tcf(c_178132,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_168267,c_169840]) ).
tcf(c_178133,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_168267,c_169538]) ).
tcf(c_178134,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r1_tarski(sK6(iPr_def_29,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_168267,c_168448]) ).
tcf(c_178231,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK2))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_173329,c_168563]) ).
tcf(c_178232,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK3))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_178091,c_168563]) ).
tcf(c_178233,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK8))
| ~ l1_pre_topc(sK8) ),
inference(superposition,[status(thm)],[c_178090,c_168563]) ).
tcf(c_178234,plain,
( r1_tarski(sK22(sK2),iPr_def_20)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_168563]) ).
tcf(c_178235,plain,
( r1_tarski(sK22(sK3),iPr_def_18)
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_168563]) ).
tcf(c_178236,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_168563,c_170897]) ).
tcf(c_178237,plain,
( r1_tarski(k1_xboole_0,iPr_def_18)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_178235,c_178091]) ).
tcf(c_178238,plain,
( r1_tarski(k1_xboole_0,iPr_def_20)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_178234,c_173329]) ).
tcf(c_178261,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_178075,c_151]) ).
tcf(c_178262,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_178075,c_60]) ).
tcf(c_178264,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_178075,c_293]) ).
tcf(c_178265,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_178075,c_8246]) ).
tcf(c_178266,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_178075,c_8233]) ).
tcf(c_178315,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_173329,c_178236]) ).
tcf(c_178316,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_178091,c_178236]) ).
tcf(c_178317,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_178090,c_178236]) ).
tcf(c_178318,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_178317,c_178090]) ).
tcf(c_178319,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_178318,c_168,c_168112]) ).
tcf(c_178324,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_178316,c_8211,c_178091]) ).
tcf(c_178326,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_178315,c_8213,c_173329]) ).
tcf(c_178327,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_178326,c_8260,c_174072,c_168112]) ).
tcf(c_178347,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_178065,c_151]) ).
tcf(c_178348,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_178065,c_60]) ).
tcf(c_178350,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_178065,c_293]) ).
tcf(c_178351,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_178065,c_8246]) ).
tcf(c_178352,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_178065,c_8233]) ).
tcf(c_178363,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_178352,c_176042,c_176045]) ).
tcf(c_178369,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_178351,c_8224,c_169852]) ).
tcf(c_178427,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_176593,c_178091]) ).
tcf(c_178439,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_169797,c_170076]) ).
tcf(c_178440,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_8213,c_170076]) ).
tcf(c_178441,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_8211,c_170076]) ).
tcf(c_178442,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_170076,c_151]) ).
tcf(c_178443,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_170076,c_60]) ).
tcf(c_178444,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_170076,c_304]) ).
tcf(c_178446,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_170076,c_8246]) ).
tcf(c_178447,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_170076,c_8233]) ).
tcf(c_178448,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_170076,c_168242]) ).
tcf(c_178449,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_170076,c_168243]) ).
tcf(c_178450,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_178439,c_8213,c_8214]) ).
tcf(c_178451,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_178441,c_8211,c_8212]) ).
tcf(c_178453,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_178440,c_8213,c_8214]) ).
tcf(c_178455,plain,
( ~ l1_pre_topc(sK3)
| ~ m1_subset_1(iPr_def_19,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_178449,c_8211,c_8212]) ).
tcf(c_178456,plain,
~ m1_subset_1(iPr_def_19,iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_178455,c_8256]) ).
tcf(c_178457,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(iPr_def_21,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_178448,c_8213,c_8214]) ).
tcf(c_178479,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_19)
| ~ r1_tarski(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_8212,c_168652]) ).
tcf(c_178480,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_21)
| ~ r1_tarski(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_8214,c_168652]) ).
tcf(c_178481,plain,
! [X0: $i] :
( r2_hidden(X0,iPr_def_29)
| ~ r1_tarski(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_8222,c_168652]) ).
tcf(c_178482,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_168652,c_151]) ).
tcf(c_178483,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_168652,c_60]) ).
tcf(c_178484,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_168652,c_304]) ).
tcf(c_178486,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_168652,c_8246]) ).
tcf(c_178487,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_168652,c_8233]) ).
tcf(c_178488,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_168652,c_149]) ).
tcf(c_178489,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_168652,c_168242]) ).
tcf(c_178490,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_168652,c_168243]) ).
tcf(c_178542,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_168389,c_178479]) ).
tcf(c_178543,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_168397,c_178479]) ).
tcf(c_178544,plain,
r2_hidden(sK12(k1_zfmisc_1(iPr_def_18)),iPr_def_19),
inference(superposition,[status(thm)],[c_168435,c_178479]) ).
tcf(c_178546,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_174623,c_178479]) ).
tcf(c_178547,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_168783,c_178479]) ).
tcf(c_178548,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_174651,c_178479]) ).
tcf(c_178549,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_168960,c_178479]) ).
tcf(c_178550,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_169395,c_178479]) ).
tcf(c_178551,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_174444,c_178479]) ).
tcf(c_178552,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_169723,c_178479]) ).
tcf(c_178553,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_174484,c_178479]) ).
tcf(c_178554,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_169942,c_178479]) ).
tcf(c_178555,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_174571,c_178479]) ).
tcf(c_178556,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_169968,c_178479]) ).
tcf(c_178557,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_168380,c_178479]) ).
tcf(c_178558,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_168375,c_178479]) ).
tcf(c_178559,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_171942,c_178479]) ).
tcf(c_178560,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_168370,c_178479]) ).
tcf(c_178561,plain,
r2_hidden(sK12(iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_168480,c_178479]) ).
tcf(c_178574,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_178550,c_8212]) ).
tcf(c_178766,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_168389,c_178480]) ).
tcf(c_178767,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_168397,c_178480]) ).
tcf(c_178768,plain,
r2_hidden(sK12(k1_zfmisc_1(iPr_def_20)),iPr_def_21),
inference(superposition,[status(thm)],[c_168435,c_178480]) ).
tcf(c_178774,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_169395,c_178480]) ).
tcf(c_178783,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_171942,c_178480]) ).
tcf(c_178785,plain,
r2_hidden(sK12(iPr_def_21),iPr_def_21),
inference(superposition,[status(thm)],[c_168481,c_178480]) ).
tcf(c_178802,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_178774,c_8214]) ).
tcf(c_178864,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_168389,c_178481]) ).
tcf(c_178865,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_168397,c_178481]) ).
tcf(c_178866,plain,
r2_hidden(sK12(k1_zfmisc_1(iPr_def_28)),iPr_def_29),
inference(superposition,[status(thm)],[c_168435,c_178481]) ).
tcf(c_178868,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_174623,c_178481]) ).
tcf(c_178869,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_168783,c_178481]) ).
tcf(c_178870,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_174651,c_178481]) ).
tcf(c_178871,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_168960,c_178481]) ).
tcf(c_178872,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_169395,c_178481]) ).
tcf(c_178873,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_174444,c_178481]) ).
tcf(c_178874,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_169723,c_178481]) ).
tcf(c_178875,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_174484,c_178481]) ).
tcf(c_178876,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_169942,c_178481]) ).
tcf(c_178877,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_174571,c_178481]) ).
tcf(c_178878,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_169968,c_178481]) ).
tcf(c_178879,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_168380,c_178481]) ).
tcf(c_178880,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_168375,c_178481]) ).
tcf(c_178881,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_171942,c_178481]) ).
tcf(c_178882,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_168370,c_178481]) ).
tcf(c_178883,plain,
r2_hidden(sK12(iPr_def_29),iPr_def_29),
inference(superposition,[status(thm)],[c_168482,c_178481]) ).
tcf(c_178889,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_178872,c_8222]) ).
tcf(c_179037,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_178561,c_151]) ).
tcf(c_179038,plain,
~ r2_hidden(iPr_def_19,sK12(iPr_def_19)),
inference(superposition,[status(thm)],[c_178561,c_60]) ).
tcf(c_179041,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_178561,c_8246]) ).
tcf(c_179042,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_178561,c_8233]) ).
tcf(c_179068,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_178785,c_151]) ).
tcf(c_179069,plain,
~ r2_hidden(iPr_def_21,sK12(iPr_def_21)),
inference(superposition,[status(thm)],[c_178785,c_60]) ).
tcf(c_179072,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_178785,c_8246]) ).
tcf(c_179073,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_178785,c_8233]) ).
tcf(c_179127,plain,
! [X0: $i] :
( r2_hidden(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_178883,c_151]) ).
tcf(c_179128,plain,
~ r2_hidden(iPr_def_29,sK12(iPr_def_29)),
inference(superposition,[status(thm)],[c_178883,c_60]) ).
tcf(c_179131,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_178883,c_8246]) ).
tcf(c_179132,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_178883,c_8233]) ).
tcf(c_179181,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_175841,c_298]) ).
tcf(c_179203,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_175902,c_298]) ).
tcf(c_179225,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_170634,c_169426]) ).
tcf(c_179226,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_170628,c_169426]) ).
tcf(c_179237,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_169574,c_151]) ).
tcf(c_179238,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_169574,c_60]) ).
tcf(c_179239,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_169574,c_304]) ).
tcf(c_179240,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_169574,c_293]) ).
tcf(c_179241,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_169574,c_8246]) ).
tcf(c_179242,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_169574,c_8233]) ).
tcf(c_179243,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_169574,c_8245]) ).
tcf(c_179244,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_169574,c_8232]) ).
tcf(c_179245,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_169574,c_168239]) ).
tcf(c_179246,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_169574,c_168240]) ).
tcf(c_179247,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_169574,c_169314]) ).
tcf(c_179248,plain,
( v1_xboole_0(sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK12(sK16(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_169574,c_172930]) ).
tcf(c_179260,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_179246,c_168076]) ).
tcf(c_179327,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_170628,c_179239]) ).
tcf(c_179336,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_169746,c_151]) ).
tcf(c_179337,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_169746,c_60]) ).
tcf(c_179338,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_169746,c_304]) ).
tcf(c_179339,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_169746,c_293]) ).
tcf(c_179340,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_169746,c_8246]) ).
tcf(c_179341,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_169746,c_8233]) ).
tcf(c_179342,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_169746,c_8245]) ).
tcf(c_179343,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_169746,c_8232]) ).
tcf(c_179344,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_169746,c_168239]) ).
tcf(c_179345,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_169746,c_168240]) ).
tcf(c_179346,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_169746,c_169314]) ).
tcf(c_179347,plain,
( v1_xboole_0(sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(sK16(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_169746,c_172930]) ).
tcf(c_179362,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_179344,c_168077]) ).
tcf(c_179416,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_175945,c_298]) ).
tcf(c_179467,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_176626,c_298]) ).
tcf(c_179483,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_176665,c_298]) ).
tcf(c_179497,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_176704,c_298]) ).
tcf(c_179513,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_176745,c_298]) ).
tcf(c_179546,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_176966,c_298]) ).
tcf(c_179560,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_177005,c_298]) ).
tcf(c_179574,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_177044,c_298]) ).
tcf(c_179584,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_172363,c_151]) ).
tcf(c_179585,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_172363,c_60]) ).
tcf(c_179588,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_172363,c_8246]) ).
tcf(c_179589,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_172363,c_8233]) ).
tcf(c_179611,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_170628,c_179338]) ).
tcf(c_179616,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_169852,c_169768]) ).
tcf(c_179617,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_169852,c_169760]) ).
tcf(c_179618,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_169852,c_168892]) ).
tcf(c_179619,plain,
~ v1_xboole_0(k2_tex_4(sK3,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_179618,c_168476]) ).
tcf(c_179620,plain,
m1_subset_1(k2_tex_4(sK3,iPr_def_30),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_179617,c_168476]) ).
tcf(c_179621,plain,
r2_hidden(k2_tex_4(sK3,iPr_def_30),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_179616,c_168476]) ).
tcf(c_179657,plain,
r1_tarski(k2_tex_4(sK3,iPr_def_30),iPr_def_18),
inference(superposition,[status(thm)],[c_179620,c_168446]) ).
tcf(c_179658,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_179620,c_170125]) ).
tcf(c_179661,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK3,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_179621,c_151]) ).
tcf(c_179662,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,iPr_def_30)),
inference(superposition,[status(thm)],[c_179621,c_60]) ).
tcf(c_179665,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_179621,c_8246]) ).
tcf(c_179666,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_179621,c_8233]) ).
tcf(c_179788,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_179657,c_170897]) ).
tcf(c_179791,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_179788,c_170458,c_8255]) ).
tcf(c_179893,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_177247,c_298]) ).
tcf(c_179907,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_177286,c_298]) ).
tcf(c_179921,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_177474,c_298]) ).
tcf(c_179935,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_177717,c_298]) ).
tcf(c_179949,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_177772,c_298]) ).
tcf(c_179963,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_177811,c_298]) ).
tcf(c_179979,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_178264,c_298]) ).
tcf(c_180010,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_8223,c_175075]) ).
tcf(c_180011,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_175075,c_170897]) ).
tcf(c_180014,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_180010,c_8225]) ).
tcf(c_180015,plain,
( r1_tarski(iPr_def_30,iPr_def_18)
| ~ r1_tarski(iPr_def_32,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180014,c_8253]) ).
tcf(c_180018,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_180011,c_170458,c_8255]) ).
tcf(c_180041,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_170634,c_169920]) ).
tcf(c_180042,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_170628,c_169920]) ).
tcf(c_180059,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_171488,c_151]) ).
tcf(c_180060,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_171488,c_60]) ).
tcf(c_180062,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_171488,c_293]) ).
tcf(c_180063,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_171488,c_8246]) ).
tcf(c_180064,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_171488,c_8233]) ).
tcf(c_180065,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_171488,c_8245]) ).
tcf(c_180066,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_171488,c_8232]) ).
tcf(c_180067,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_171488,c_168239]) ).
tcf(c_180068,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_171488,c_168240]) ).
tcf(c_180069,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_171488,c_169314]) ).
tcf(c_180070,plain,
( v1_xboole_0(sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK12(sK17(sK2))) ),
inference(superposition,[status(thm)],[c_171488,c_172930]) ).
tcf(c_180080,plain,
( v1_tsp_1(sK17(sK2),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK17(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180068,c_169147]) ).
tcf(c_180139,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_171508,c_151]) ).
tcf(c_180140,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_171508,c_60]) ).
tcf(c_180142,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_171508,c_293]) ).
tcf(c_180143,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_171508,c_8246]) ).
tcf(c_180144,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_171508,c_8233]) ).
tcf(c_180145,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_171508,c_8245]) ).
tcf(c_180146,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_171508,c_8232]) ).
tcf(c_180147,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_171508,c_168239]) ).
tcf(c_180148,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_171508,c_168240]) ).
tcf(c_180149,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_171508,c_169314]) ).
tcf(c_180150,plain,
( v1_xboole_0(sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK12(sK19(sK2))) ),
inference(superposition,[status(thm)],[c_171508,c_172930]) ).
tcf(c_180160,plain,
( v1_tsp_1(sK19(sK2),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK19(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180148,c_169169]) ).
tcf(c_180236,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_171530,c_151]) ).
tcf(c_180237,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_171530,c_60]) ).
tcf(c_180239,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_171530,c_293]) ).
tcf(c_180240,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_171530,c_8246]) ).
tcf(c_180241,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_171530,c_8233]) ).
tcf(c_180242,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_171530,c_8245]) ).
tcf(c_180243,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_171530,c_8232]) ).
tcf(c_180244,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_171530,c_168239]) ).
tcf(c_180245,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_171530,c_168240]) ).
tcf(c_180246,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_171530,c_169314]) ).
tcf(c_180247,plain,
( v1_xboole_0(sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK12(sK25(sK2))) ),
inference(superposition,[status(thm)],[c_171530,c_172930]) ).
tcf(c_180257,plain,
( v1_tsp_1(sK25(sK2),sK2)
| ~ r1_tarski(iPr_def_21,sK5(sK2,sK25(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180245,c_169200]) ).
tcf(c_180304,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_171557,c_151]) ).
tcf(c_180305,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_171557,c_60]) ).
tcf(c_180307,plain,
! [X0: $i] :
( m1_subset_1(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171557,c_293]) ).
tcf(c_180308,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_171557,c_8246]) ).
tcf(c_180309,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_171557,c_8233]) ).
tcf(c_180310,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_171557,c_8245]) ).
tcf(c_180311,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_171557,c_8232]) ).
tcf(c_180312,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_171557,c_168239]) ).
tcf(c_180313,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_171557,c_168240]) ).
tcf(c_180314,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_171557,c_169314]) ).
tcf(c_180315,plain,
( v1_xboole_0(sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK17(sK3))) ),
inference(superposition,[status(thm)],[c_171557,c_172930]) ).
tcf(c_180328,plain,
( v1_tsp_1(sK17(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK17(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180312,c_169145]) ).
tcf(c_180431,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_171779,c_151]) ).
tcf(c_180432,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_171779,c_60]) ).
tcf(c_180434,plain,
! [X0: $i] :
( m1_subset_1(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171779,c_293]) ).
tcf(c_180435,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_171779,c_8246]) ).
tcf(c_180436,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_171779,c_8233]) ).
tcf(c_180437,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_171779,c_8245]) ).
tcf(c_180438,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_171779,c_8232]) ).
tcf(c_180439,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_171779,c_168239]) ).
tcf(c_180440,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_171779,c_168240]) ).
tcf(c_180441,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_171779,c_169314]) ).
tcf(c_180442,plain,
( v1_xboole_0(sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK19(sK3))) ),
inference(superposition,[status(thm)],[c_171779,c_172930]) ).
tcf(c_180455,plain,
( v1_tsp_1(sK19(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK19(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180439,c_169167]) ).
tcf(c_180512,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_8212,c_180041]) ).
tcf(c_180513,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_8214,c_180041]) ).
tcf(c_180514,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_8222,c_180041]) ).
tcf(c_180515,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_180041,c_151]) ).
tcf(c_180516,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_180041,c_60]) ).
tcf(c_180517,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_180041,c_304]) ).
tcf(c_180518,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_180041,c_293]) ).
tcf(c_180519,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_180041,c_8246]) ).
tcf(c_180520,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_180041,c_8233]) ).
tcf(c_180579,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_8223,c_175348]) ).
tcf(c_180580,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_175348,c_170897]) ).
tcf(c_180583,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_180579,c_8225]) ).
tcf(c_180584,plain,
( r1_tarski(iPr_def_30,iPr_def_20)
| ~ r1_tarski(iPr_def_32,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180583,c_8253]) ).
tcf(c_180587,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_180580,c_174072]) ).
tcf(c_180600,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_8223,c_175460]) ).
tcf(c_180601,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_175460,c_170897]) ).
tcf(c_180604,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_180600,c_8225]) ).
tcf(c_180605,plain,
( r1_tarski(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,iPr_def_29) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180604,c_8253]) ).
tcf(c_180629,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_8223,c_180601]) ).
tcf(c_180630,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_180629,c_8223,c_8225]) ).
tcf(c_180631,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_180630,c_8253]) ).
tcf(c_180666,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_171815,c_151]) ).
tcf(c_180667,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_171815,c_60]) ).
tcf(c_180669,plain,
! [X0: $i] :
( m1_subset_1(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_171815,c_293]) ).
tcf(c_180670,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_171815,c_8246]) ).
tcf(c_180671,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_171815,c_8233]) ).
tcf(c_180672,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_171815,c_8245]) ).
tcf(c_180673,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_171815,c_8232]) ).
tcf(c_180674,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_171815,c_168239]) ).
tcf(c_180675,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_171815,c_168240]) ).
tcf(c_180676,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_171815,c_169314]) ).
tcf(c_180677,plain,
( v1_xboole_0(sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK25(sK3))) ),
inference(superposition,[status(thm)],[c_171815,c_172930]) ).
tcf(c_180690,plain,
( v1_tsp_1(sK25(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK25(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180674,c_169198]) ).
tcf(c_180716,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_172444,c_151]) ).
tcf(c_180717,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_60]) ).
tcf(c_180718,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_172444,c_304]) ).
tcf(c_180719,plain,
! [X0: $i] :
( m1_subset_1(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_172444,c_293]) ).
tcf(c_180720,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_172444,c_8246]) ).
tcf(c_180721,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_172444,c_8233]) ).
tcf(c_180722,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_172444,c_8245]) ).
tcf(c_180723,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_172444,c_8232]) ).
tcf(c_180724,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_172444,c_168239]) ).
tcf(c_180725,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_172444,c_168240]) ).
tcf(c_180726,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_172444,c_169314]) ).
tcf(c_180727,plain,
( v1_xboole_0(sK16(iPr_def_28))
| ~ r1_tarski(iPr_def_29,sK12(sK16(iPr_def_28))) ),
inference(superposition,[status(thm)],[c_172444,c_172930]) ).
tcf(c_180829,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_170628,c_180718]) ).
tcf(c_180934,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_176042,c_175669]) ).
tcf(c_180935,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_176042,c_168649]) ).
tcf(c_180936,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_176042,c_172211]) ).
tcf(c_180937,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_176042,c_172174]) ).
tcf(c_180938,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_176042,c_171650]) ).
tcf(c_180939,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_176042,c_171633]) ).
tcf(c_180940,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_176042,c_171608]) ).
tcf(c_180941,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_176042,c_170440]) ).
tcf(c_180942,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_176042,c_169318]) ).
tcf(c_180943,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_176042,c_169317]) ).
tcf(c_180944,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_176042,c_169655]) ).
tcf(c_180945,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_176042,c_169639]) ).
tcf(c_180946,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_176042,c_169322]) ).
tcf(c_180947,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_176042,c_169321]) ).
tcf(c_180948,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_176042,c_169423]) ).
tcf(c_180949,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_176042,c_169313]) ).
tcf(c_180950,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_176042,c_169315]) ).
tcf(c_180951,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_176042,c_168241]) ).
tcf(c_180952,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_176042,c_168221]) ).
tcf(c_180953,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_176042,c_168084]) ).
tcf(c_180954,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_176042,c_168120]) ).
tcf(c_180955,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_176042,c_167694]) ).
tcf(c_180956,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_176042,c_167670]) ).
tcf(c_180957,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_176042,c_8262]) ).
tcf(c_180958,plain,
~ v1_xboole_0(k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_180954,c_176018]) ).
tcf(c_180959,plain,
m1_subset_1(k2_tex_4(sK2,iPr_def_30),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_180952,c_176018]) ).
tcf(c_180960,plain,
r2_hidden(k2_tex_4(sK2,iPr_def_30),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_180935,c_176018]) ).
tcf(c_180961,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_180934,c_176018]) ).
tcf(c_180962,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_180957,c_176041]) ).
tcf(c_180963,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),k2_tex_4(sK2,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_180962,c_176018]) ).
tcf(c_180964,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_180953,c_176041]) ).
tcf(c_180965,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_180964,c_176018]) ).
tcf(c_180966,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k2_tex_4(sK2,iPr_def_30),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180950,c_176018]) ).
tcf(c_180969,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_180951,c_176041]) ).
tcf(c_180970,plain,
~ r2_hidden(k2_tex_4(sK2,iPr_def_30),k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_180969,c_176018]) ).
tcf(c_180971,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_180941,c_176042]) ).
tcf(c_180972,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_180971,c_176018]) ).
tcf(c_180975,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_180949,c_176041]) ).
tcf(c_180976,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_180975,c_176018]) ).
tcf(c_180980,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_180940,c_176042]) ).
tcf(c_180981,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_180980,c_176018]) ).
tcf(c_180985,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_180948,c_176041]) ).
tcf(c_180986,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_180985,c_176018]) ).
tcf(c_180990,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_180945,c_176041]) ).
tcf(c_180991,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_180990,c_176018]) ).
tcf(c_180995,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_180944,c_176041]) ).
tcf(c_180996,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_180995,c_176018]) ).
tcf(c_181000,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_180939,c_176041,c_176042]) ).
tcf(c_181001,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_181000,c_176018]) ).
tcf(c_181006,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_180956,c_176041,c_176042]) ).
tcf(c_181007,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_181006,c_176018]) ).
tcf(c_181010,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_180947,c_176041]) ).
tcf(c_181011,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_181010,c_176018]) ).
tcf(c_181015,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_180946,c_176041]) ).
tcf(c_181016,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_181015,c_176018]) ).
tcf(c_181020,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_180955,c_176041,c_176042]) ).
tcf(c_181021,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_181020,c_176018]) ).
tcf(c_181025,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_180943,c_176041]) ).
tcf(c_181026,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_181025,c_176018]) ).
tcf(c_181031,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_180942,c_176041]) ).
tcf(c_181032,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_181031,c_176018]) ).
tcf(c_181037,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_180937,c_176041,c_176042]) ).
tcf(c_181038,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_181037,c_176018]) ).
tcf(c_181042,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_180938,c_176041,c_176042]) ).
tcf(c_181043,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_181042,c_176018]) ).
tcf(c_181050,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_180936,c_176041,c_176042]) ).
tcf(c_181051,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_181050,c_176018]) ).
tcf(c_181097,plain,
r1_tarski(k2_tex_4(sK2,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_180959,c_168447]) ).
tcf(c_181098,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_180959,c_169483]) ).
tcf(c_181100,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_180959,c_167885]) ).
tcf(c_181106,plain,
! [X0: $i] :
( r2_hidden(k2_tex_4(sK2,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_180960,c_151]) ).
tcf(c_181110,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_180960,c_8246]) ).
tcf(c_181111,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_180960,c_8233]) ).
tcf(c_181120,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_181097,c_170897]) ).
tcf(c_181123,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_181120,c_174072,c_180959]) ).
tcf(c_181148,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_180963,c_151]) ).
tcf(c_181154,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_180963,c_8232]) ).
tcf(c_181157,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_181154,c_176018]) ).
tcf(c_181218,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_177390,c_151]) ).
tcf(c_181219,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177390,c_60]) ).
tcf(c_181221,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(iPr_def_27),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_177390,c_293]) ).
tcf(c_181222,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_177390,c_8246]) ).
tcf(c_181223,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_177390,c_8233]) ).
tcf(c_181224,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_177390,c_8245]) ).
tcf(c_181225,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_177390,c_8232]) ).
tcf(c_181226,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_177390,c_168239]) ).
tcf(c_181227,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_177390,c_168240]) ).
tcf(c_181228,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_177390,c_169314]) ).
tcf(c_181229,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_177390,c_172930]) ).
tcf(c_181232,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(iPr_def_27))),
inference(forward_subsumption_resolution,[status(thm)],[c_181229,c_190]) ).
tcf(c_181238,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_181227,c_177230]) ).
tcf(c_181360,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_179037,c_151]) ).
tcf(c_181361,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_179037,c_60]) ).
tcf(c_181363,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_179037,c_293]) ).
tcf(c_181364,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_179037,c_8246]) ).
tcf(c_181365,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_179037,c_8233]) ).
tcf(c_181366,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_179037,c_8245]) ).
tcf(c_181367,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_179037,c_8232]) ).
tcf(c_181368,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_179037,c_168239]) ).
tcf(c_181369,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_179037,c_168240]) ).
tcf(c_181370,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_179037,c_169314]) ).
tcf(c_181371,plain,
( v1_xboole_0(sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(sK12(iPr_def_19))) ),
inference(superposition,[status(thm)],[c_179037,c_172930]) ).
tcf(c_181384,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_181368,c_172]) ).
tcf(c_181444,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_179068,c_151]) ).
tcf(c_181445,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_60]) ).
tcf(c_181447,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_179068,c_293]) ).
tcf(c_181448,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_179068,c_8246]) ).
tcf(c_181449,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_179068,c_8233]) ).
tcf(c_181450,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_179068,c_8245]) ).
tcf(c_181451,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_179068,c_8232]) ).
tcf(c_181452,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_179068,c_168239]) ).
tcf(c_181453,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_179068,c_168240]) ).
tcf(c_181454,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_179068,c_169314]) ).
tcf(c_181455,plain,
( v1_xboole_0(sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK12(sK12(iPr_def_21))) ),
inference(superposition,[status(thm)],[c_179068,c_172930]) ).
tcf(c_181465,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_181453,c_172]) ).
tcf(c_181536,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_179127,c_151]) ).
tcf(c_181537,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_60]) ).
tcf(c_181539,plain,
! [X0: $i] :
( m1_subset_1(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_179127,c_293]) ).
tcf(c_181540,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_179127,c_8246]) ).
tcf(c_181541,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_179127,c_8233]) ).
tcf(c_181542,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_179127,c_8245]) ).
tcf(c_181543,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_179127,c_8232]) ).
tcf(c_181544,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_179127,c_168239]) ).
tcf(c_181545,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_179127,c_168240]) ).
tcf(c_181546,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_179127,c_169314]) ).
tcf(c_181547,plain,
( v1_xboole_0(sK12(iPr_def_29))
| ~ r1_tarski(iPr_def_29,sK12(sK12(iPr_def_29))) ),
inference(superposition,[status(thm)],[c_179127,c_172930]) ).
tcf(c_181609,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_178122,c_170897]) ).
tcf(c_181610,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| r2_hidden(sK6(iPr_def_21,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_178122,c_178480]) ).
tcf(c_181611,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_178122,c_168422]) ).
tcf(c_181616,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_181609,c_174072]) ).
tcf(c_181626,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_178130,c_170897]) ).
tcf(c_181627,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| r2_hidden(sK6(iPr_def_19,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_178130,c_178479]) ).
tcf(c_181628,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_178130,c_168421]) ).
tcf(c_181633,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_181626,c_170458,c_8255]) ).
tcf(c_181681,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_172,c_169546]) ).
tcf(c_181682,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_8228,c_169546]) ).
tcf(c_181683,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_173700,c_169546]) ).
tcf(c_181684,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_8248,c_169546]) ).
tcf(c_181685,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_8250,c_169546]) ).
tcf(c_181686,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_170069,c_169546]) ).
tcf(c_181688,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_168077,c_169546]) ).
tcf(c_181689,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_168082,c_169546]) ).
tcf(c_181690,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_168083,c_169546]) ).
tcf(c_181692,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_168267,c_169546]) ).
tcf(c_181693,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_173701,c_169546]) ).
tcf(c_181694,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_168541,c_169546]) ).
tcf(c_181695,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_168863,c_169546]) ).
tcf(c_181696,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_169316,c_169546]) ).
tcf(c_181697,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_169145,c_169546]) ).
tcf(c_181698,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_169167,c_169546]) ).
tcf(c_181699,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_169198,c_169546]) ).
tcf(c_181700,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_169760,c_169546]) ).
tcf(c_181701,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_169771,c_169546]) ).
tcf(c_181702,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_169780,c_169546]) ).
tcf(c_181703,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_170783,c_169546]) ).
tcf(c_181704,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_179620,c_169546]) ).
tcf(c_181822,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_181684,c_168268]) ).
tcf(c_181823,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_181684,c_167693]) ).
tcf(c_181824,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_181822,c_8248]) ).
tcf(c_181828,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_181823,c_8248]) ).
tcf(c_181837,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_181685,c_168268]) ).
tcf(c_181838,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_181685,c_167693]) ).
tcf(c_181839,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_181837,c_8250]) ).
tcf(c_181843,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_181838,c_8250]) ).
tcf(c_181848,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_171158,c_24617]) ).
tcf(c_181873,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_179240,c_300]) ).
tcf(c_181874,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_179240,c_157]) ).
tcf(c_181875,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_179240,c_154]) ).
tcf(c_181876,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_179240,c_153]) ).
tcf(c_181877,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_179240,c_156]) ).
tcf(c_181878,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_179240,c_6730]) ).
tcf(c_181881,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_179240,c_170130]) ).
tcf(c_181883,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_179240,c_170212]) ).
tcf(c_181884,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_179240,c_169784]) ).
tcf(c_181885,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_179240,c_169475]) ).
tcf(c_181886,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_179240,c_167838]) ).
tcf(c_181887,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_179240,c_169546]) ).
tcf(c_181888,plain,
( r1_tarski(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_179240,c_168446]) ).
tcf(c_181889,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_179240,c_170125]) ).
tcf(c_181890,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_179240,c_169840]) ).
tcf(c_181891,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_179240,c_169538]) ).
tcf(c_181892,plain,
( r1_tarski(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_179240,c_168448]) ).
tcf(c_182009,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_18),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_179339,c_300]) ).
tcf(c_182010,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_179339,c_157]) ).
tcf(c_182011,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_179339,c_154]) ).
tcf(c_182012,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_179339,c_153]) ).
tcf(c_182013,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_179339,c_156]) ).
tcf(c_182014,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_179339,c_6730]) ).
tcf(c_182015,plain,
( r1_tarski(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179339,c_168447]) ).
tcf(c_182016,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_179339,c_169483]) ).
tcf(c_182017,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_179339,c_170130]) ).
tcf(c_182018,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_179339,c_167885]) ).
tcf(c_182019,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_179339,c_170212]) ).
tcf(c_182020,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_179339,c_169784]) ).
tcf(c_182021,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_179339,c_169475]) ).
tcf(c_182022,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_179339,c_167838]) ).
tcf(c_182025,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_179339,c_170125]) ).
tcf(c_182026,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_179339,c_169840]) ).
tcf(c_182027,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_179339,c_169538]) ).
tcf(c_182028,plain,
( r1_tarski(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_179339,c_168448]) ).
tcf(c_182337,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180062,c_300]) ).
tcf(c_182338,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_180062,c_157]) ).
tcf(c_182339,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_180062,c_154]) ).
tcf(c_182340,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_180062,c_153]) ).
tcf(c_182341,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_180062,c_156]) ).
tcf(c_182342,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_180062,c_6730]) ).
tcf(c_182345,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_180062,c_170130]) ).
tcf(c_182347,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_180062,c_170212]) ).
tcf(c_182348,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_180062,c_169784]) ).
tcf(c_182349,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_180062,c_169475]) ).
tcf(c_182350,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_180062,c_167838]) ).
tcf(c_182351,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_180062,c_169546]) ).
tcf(c_182352,plain,
( r1_tarski(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_180062,c_168446]) ).
tcf(c_182353,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_180062,c_170125]) ).
tcf(c_182354,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_180062,c_169840]) ).
tcf(c_182355,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_180062,c_169538]) ).
tcf(c_182356,plain,
( r1_tarski(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_180062,c_168448]) ).
tcf(c_182357,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_180062,c_174448]) ).
tcf(c_182358,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_180062,c_169728]) ).
tcf(c_182498,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_178134,c_170897]) ).
tcf(c_182499,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| r2_hidden(sK6(iPr_def_29,X0),iPr_def_29) ),
inference(superposition,[status(thm)],[c_178134,c_178481]) ).
tcf(c_182500,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_178134,c_168423]) ).
tcf(c_182516,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180142,c_300]) ).
tcf(c_182517,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_180142,c_157]) ).
tcf(c_182518,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_180142,c_154]) ).
tcf(c_182519,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_180142,c_153]) ).
tcf(c_182520,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_180142,c_156]) ).
tcf(c_182521,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_180142,c_6730]) ).
tcf(c_182524,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_180142,c_170130]) ).
tcf(c_182526,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_180142,c_170212]) ).
tcf(c_182527,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_180142,c_169784]) ).
tcf(c_182528,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_180142,c_169475]) ).
tcf(c_182529,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_180142,c_167838]) ).
tcf(c_182530,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_180142,c_169546]) ).
tcf(c_182531,plain,
( r1_tarski(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_180142,c_168446]) ).
tcf(c_182532,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_180142,c_170125]) ).
tcf(c_182533,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_180142,c_169840]) ).
tcf(c_182534,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_180142,c_169538]) ).
tcf(c_182535,plain,
( r1_tarski(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_180142,c_168448]) ).
tcf(c_182536,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_180142,c_174488]) ).
tcf(c_182537,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_180142,c_169947]) ).
tcf(c_182645,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180239,c_300]) ).
tcf(c_182646,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_180239,c_157]) ).
tcf(c_182647,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_180239,c_154]) ).
tcf(c_182648,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_180239,c_153]) ).
tcf(c_182649,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_180239,c_156]) ).
tcf(c_182650,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_180239,c_6730]) ).
tcf(c_182653,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_180239,c_170130]) ).
tcf(c_182655,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_180239,c_170212]) ).
tcf(c_182656,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_180239,c_169784]) ).
tcf(c_182657,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_180239,c_169475]) ).
tcf(c_182658,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_180239,c_167838]) ).
tcf(c_182659,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_180239,c_169546]) ).
tcf(c_182660,plain,
( r1_tarski(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_180239,c_168446]) ).
tcf(c_182661,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_180239,c_170125]) ).
tcf(c_182662,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_180239,c_169840]) ).
tcf(c_182663,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_180239,c_169538]) ).
tcf(c_182664,plain,
( r1_tarski(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_180239,c_168448]) ).
tcf(c_182665,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_180239,c_174575]) ).
tcf(c_182666,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_180239,c_169973]) ).
tcf(c_182810,plain,
! [X0: $i] :
( r1_tarski(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180307,c_300]) ).
tcf(c_182811,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_180307,c_157]) ).
tcf(c_182812,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_180307,c_154]) ).
tcf(c_182813,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_180307,c_153]) ).
tcf(c_182814,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_180307,c_156]) ).
tcf(c_182815,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_180307,c_6730]) ).
tcf(c_182816,plain,
( r1_tarski(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180307,c_168447]) ).
tcf(c_182817,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_180307,c_169483]) ).
tcf(c_182818,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_180307,c_170130]) ).
tcf(c_182819,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_180307,c_167885]) ).
tcf(c_182820,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_180307,c_170212]) ).
tcf(c_182821,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_180307,c_169784]) ).
tcf(c_182822,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_180307,c_169475]) ).
tcf(c_182823,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_180307,c_167838]) ).
tcf(c_182826,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_180307,c_170125]) ).
tcf(c_182827,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_180307,c_169840]) ).
tcf(c_182828,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_180307,c_169538]) ).
tcf(c_182829,plain,
( r1_tarski(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_180307,c_168448]) ).
tcf(c_183001,plain,
! [X0: $i] :
( r1_tarski(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180434,c_300]) ).
tcf(c_183002,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_180434,c_157]) ).
tcf(c_183003,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_180434,c_154]) ).
tcf(c_183004,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_180434,c_153]) ).
tcf(c_183005,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_180434,c_156]) ).
tcf(c_183006,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_180434,c_6730]) ).
tcf(c_183007,plain,
( r1_tarski(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180434,c_168447]) ).
tcf(c_183008,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_180434,c_169483]) ).
tcf(c_183009,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_180434,c_170130]) ).
tcf(c_183010,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_180434,c_167885]) ).
tcf(c_183011,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_180434,c_170212]) ).
tcf(c_183012,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_180434,c_169784]) ).
tcf(c_183013,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_180434,c_169475]) ).
tcf(c_183014,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_180434,c_167838]) ).
tcf(c_183017,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_180434,c_170125]) ).
tcf(c_183018,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_180434,c_169840]) ).
tcf(c_183019,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_180434,c_169538]) ).
tcf(c_183020,plain,
( r1_tarski(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_180434,c_168448]) ).
tcf(c_183119,plain,
! [X0: $i] :
( r1_tarski(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180669,c_300]) ).
tcf(c_183120,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_180669,c_157]) ).
tcf(c_183121,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_180669,c_154]) ).
tcf(c_183122,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_180669,c_153]) ).
tcf(c_183123,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_180669,c_156]) ).
tcf(c_183124,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_180669,c_6730]) ).
tcf(c_183125,plain,
( r1_tarski(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180669,c_168447]) ).
tcf(c_183126,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_180669,c_169483]) ).
tcf(c_183127,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_180669,c_170130]) ).
tcf(c_183128,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_180669,c_167885]) ).
tcf(c_183129,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_180669,c_170212]) ).
tcf(c_183130,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_180669,c_169784]) ).
tcf(c_183131,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_180669,c_169475]) ).
tcf(c_183132,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_180669,c_167838]) ).
tcf(c_183135,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_180669,c_170125]) ).
tcf(c_183136,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_180669,c_169840]) ).
tcf(c_183137,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_180669,c_169538]) ).
tcf(c_183138,plain,
( r1_tarski(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_180669,c_168448]) ).
tcf(c_183250,plain,
! [X0: $i] :
( r1_tarski(sK16(iPr_def_28),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_180719,c_300]) ).
tcf(c_183251,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_180719,c_157]) ).
tcf(c_183252,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_180719,c_154]) ).
tcf(c_183253,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_180719,c_153]) ).
tcf(c_183254,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_180719,c_156]) ).
tcf(c_183255,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_180719,c_6730]) ).
tcf(c_183256,plain,
( r1_tarski(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_180719,c_168447]) ).
tcf(c_183257,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_180719,c_169483]) ).
tcf(c_183258,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_180719,c_170130]) ).
tcf(c_183259,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_180719,c_167885]) ).
tcf(c_183260,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_180719,c_170212]) ).
tcf(c_183261,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_180719,c_169784]) ).
tcf(c_183262,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_180719,c_169475]) ).
tcf(c_183263,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_180719,c_167838]) ).
tcf(c_183264,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_180719,c_169546]) ).
tcf(c_183265,plain,
( r1_tarski(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_180719,c_168446]) ).
tcf(c_183266,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_180719,c_170125]) ).
tcf(c_183267,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_180719,c_169840]) ).
tcf(c_183268,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_180719,c_169538]) ).
tcf(c_183387,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_181221,c_300]) ).
tcf(c_183388,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_181221,c_157]) ).
tcf(c_183389,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_181221,c_154]) ).
tcf(c_183390,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_181221,c_153]) ).
tcf(c_183391,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_181221,c_156]) ).
tcf(c_183392,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_181221,c_6730]) ).
tcf(c_183395,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_181221,c_170130]) ).
tcf(c_183397,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_181221,c_170212]) ).
tcf(c_183398,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_181221,c_169784]) ).
tcf(c_183399,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_181221,c_169475]) ).
tcf(c_183400,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_181221,c_167838]) ).
tcf(c_183401,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_181221,c_169546]) ).
tcf(c_183402,plain,
( r1_tarski(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181221,c_168446]) ).
tcf(c_183403,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_181221,c_170125]) ).
tcf(c_183404,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_181221,c_169840]) ).
tcf(c_183405,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_181221,c_169538]) ).
tcf(c_183406,plain,
( r1_tarski(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_181221,c_168448]) ).
tcf(c_183548,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_19),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_181363,c_300]) ).
tcf(c_183549,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_181363,c_157]) ).
tcf(c_183550,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_181363,c_154]) ).
tcf(c_183551,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_181363,c_153]) ).
tcf(c_183552,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_181363,c_156]) ).
tcf(c_183553,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_181363,c_6730]) ).
tcf(c_183554,plain,
( r1_tarski(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181363,c_168447]) ).
tcf(c_183555,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_181363,c_169483]) ).
tcf(c_183556,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_181363,c_170130]) ).
tcf(c_183557,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_181363,c_167885]) ).
tcf(c_183558,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_181363,c_170212]) ).
tcf(c_183559,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_181363,c_169784]) ).
tcf(c_183560,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_181363,c_169475]) ).
tcf(c_183561,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_181363,c_167838]) ).
tcf(c_183564,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_181363,c_170125]) ).
tcf(c_183565,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_181363,c_169840]) ).
tcf(c_183566,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_181363,c_169538]) ).
tcf(c_183567,plain,
( r1_tarski(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_181363,c_168448]) ).
tcf(c_183669,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_21),X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_181447,c_300]) ).
tcf(c_183670,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_181447,c_157]) ).
tcf(c_183671,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_181447,c_154]) ).
tcf(c_183672,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_181447,c_153]) ).
tcf(c_183673,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_181447,c_156]) ).
tcf(c_183674,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_181447,c_6730]) ).
tcf(c_183677,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_181447,c_170130]) ).
tcf(c_183679,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_181447,c_170212]) ).
tcf(c_183680,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_181447,c_169784]) ).
tcf(c_183681,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_181447,c_169475]) ).
tcf(c_183682,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_181447,c_167838]) ).
tcf(c_183683,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_181447,c_169546]) ).
tcf(c_183684,plain,
( r1_tarski(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181447,c_168446]) ).
tcf(c_183685,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_181447,c_170125]) ).
tcf(c_183686,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_181447,c_169840]) ).
tcf(c_183687,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_181447,c_169538]) ).
tcf(c_183688,plain,
( r1_tarski(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_181447,c_168448]) ).
tcf(c_183830,plain,
! [X0: $i] :
( r1_tarski(sK12(iPr_def_29),X0)
| ~ r1_tarski(iPr_def_29,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_181539,c_300]) ).
tcf(c_183831,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_181539,c_157]) ).
tcf(c_183832,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_181539,c_154]) ).
tcf(c_183833,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_181539,c_153]) ).
tcf(c_183834,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_181539,c_156]) ).
tcf(c_183835,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_181539,c_6730]) ).
tcf(c_183836,plain,
( r1_tarski(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_181539,c_168447]) ).
tcf(c_183837,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_181539,c_169483]) ).
tcf(c_183838,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_181539,c_170130]) ).
tcf(c_183839,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_181539,c_167885]) ).
tcf(c_183840,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_181539,c_170212]) ).
tcf(c_183841,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_181539,c_169784]) ).
tcf(c_183842,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_181539,c_169475]) ).
tcf(c_183843,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_181539,c_167838]) ).
tcf(c_183844,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_181539,c_169546]) ).
tcf(c_183845,plain,
( r1_tarski(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181539,c_168446]) ).
tcf(c_183846,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_181539,c_170125]) ).
tcf(c_183847,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_181539,c_169840]) ).
tcf(c_183848,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_181539,c_169538]) ).
tcf(c_184064,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_169060,c_168265]) ).
tcf(c_184065,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_169061,c_168265]) ).
tcf(c_184067,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_169574,c_168265]) ).
tcf(c_184068,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_169746,c_168265]) ).
tcf(c_184070,plain,
! [X0: $i] :
( r1_tarski(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK17(sK2),X0)) ),
inference(superposition,[status(thm)],[c_171488,c_168265]) ).
tcf(c_184071,plain,
! [X0: $i] :
( r1_tarski(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK19(sK2),X0)) ),
inference(superposition,[status(thm)],[c_171508,c_168265]) ).
tcf(c_184072,plain,
! [X0: $i] :
( r1_tarski(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK6(sK25(sK2),X0)) ),
inference(superposition,[status(thm)],[c_171530,c_168265]) ).
tcf(c_184073,plain,
! [X0: $i] :
( r1_tarski(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK17(sK3),X0)) ),
inference(superposition,[status(thm)],[c_171557,c_168265]) ).
tcf(c_184074,plain,
! [X0: $i] :
( r1_tarski(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK19(sK3),X0)) ),
inference(superposition,[status(thm)],[c_171779,c_168265]) ).
tcf(c_184075,plain,
! [X0: $i] :
( r1_tarski(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK25(sK3),X0)) ),
inference(superposition,[status(thm)],[c_171815,c_168265]) ).
tcf(c_184076,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_172444,c_168265]) ).
tcf(c_184077,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_177390,c_168265]) ).
tcf(c_184078,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_179037,c_168265]) ).
tcf(c_184079,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_179068,c_168265]) ).
tcf(c_184080,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_179127,c_168265]) ).
tcf(c_184194,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_168537,c_170897]) ).
tcf(c_184205,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_173329,c_168660]) ).
tcf(c_184206,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_178091,c_168660]) ).
tcf(c_184207,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ l1_pre_topc(sK8) ),
inference(superposition,[status(thm)],[c_178090,c_168660]) ).
tcf(c_184208,plain,
( r2_hidden(sK22(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_168660]) ).
tcf(c_184209,plain,
( r2_hidden(sK22(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_168660]) ).
tcf(c_184210,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_168660,c_151]) ).
tcf(c_184211,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK22(X0)) ),
inference(superposition,[status(thm)],[c_168660,c_60]) ).
tcf(c_184212,plain,
! [X0: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_168660,c_304]) ).
tcf(c_184214,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_168660,c_8246]) ).
tcf(c_184215,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_168660,c_8233]) ).
tcf(c_184216,plain,
( r2_hidden(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_184209,c_8212,c_178091]) ).
tcf(c_184217,plain,
( r2_hidden(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_184208,c_8214,c_173329]) ).
tcf(c_184237,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_181888,c_170897]) ).
tcf(c_184238,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181888,c_178479]) ).
tcf(c_184239,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_181888,c_168421]) ).
tcf(c_184244,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_184237,c_170458,c_8255,c_168076]) ).
tcf(c_184319,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_168859,c_170897]) ).
tcf(c_184326,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_169482,c_175309]) ).
tcf(c_184327,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_169482,c_168646]) ).
tcf(c_184328,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_169482,c_170446]) ).
tcf(c_184329,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_169482,c_168405]) ).
tcf(c_184330,plain,
m1_subset_1(k1_tarski(sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_184329,c_172]) ).
tcf(c_184331,plain,
r2_hidden(k1_tarski(sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_184327,c_172]) ).
tcf(c_184332,plain,
~ r2_hidden(iPr_def_21,k1_tarski(sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_184326,c_172]) ).
tcf(c_184333,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_184328,c_169482]) ).
tcf(c_184334,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_184333,c_172]) ).
tcf(c_184349,plain,
r1_tarski(k1_tarski(sK12(iPr_def_20)),iPr_def_20),
inference(superposition,[status(thm)],[c_184330,c_168447]) ).
tcf(c_184350,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_184330,c_169483]) ).
tcf(c_184352,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_184330,c_167885]) ).
tcf(c_184381,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_169545,c_169781]) ).
tcf(c_184382,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_169545,c_169771]) ).
tcf(c_184383,plain,
m1_subset_1(k1_tarski(sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_184382,c_172]) ).
tcf(c_184384,plain,
r2_hidden(k1_tarski(sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_184381,c_172]) ).
tcf(c_184385,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_184331,c_151]) ).
tcf(c_184389,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_184331,c_8246]) ).
tcf(c_184390,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_184331,c_8233]) ).
tcf(c_184399,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_184349,c_170897]) ).
tcf(c_184402,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_184399,c_174072,c_184330]) ).
tcf(c_184407,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_184383,c_169546]) ).
tcf(c_184408,plain,
r1_tarski(k1_tarski(sK12(iPr_def_18)),iPr_def_18),
inference(superposition,[status(thm)],[c_184383,c_168446]) ).
tcf(c_184409,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_184383,c_170125]) ).
tcf(c_184433,plain,
! [X0: $i] :
( r2_hidden(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_184384,c_151]) ).
tcf(c_184434,plain,
~ r2_hidden(iPr_def_19,k1_tarski(sK12(iPr_def_18))),
inference(superposition,[status(thm)],[c_184384,c_60]) ).
tcf(c_184437,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_184384,c_8246]) ).
tcf(c_184438,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_184384,c_8233]) ).
tcf(c_184525,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_170041,c_151]) ).
tcf(c_184526,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK13(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_170041,c_60]) ).
tcf(c_184528,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_170041,c_293]) ).
tcf(c_184529,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_170041,c_8246]) ).
tcf(c_184530,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_170041,c_8233]) ).
tcf(c_184531,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_170041,c_8245]) ).
tcf(c_184532,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_170041,c_8232]) ).
tcf(c_184533,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_170041,c_168239]) ).
tcf(c_184534,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_170041,c_168240]) ).
tcf(c_184535,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_170041,c_168265]) ).
tcf(c_184536,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_170041,c_169314]) ).
tcf(c_184537,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_170041,c_172930]) ).
tcf(c_184615,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_170574,c_151]) ).
tcf(c_184616,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(X0,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_170574,c_60]) ).
tcf(c_184618,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_170574,c_293]) ).
tcf(c_184619,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_170574,c_8246]) ).
tcf(c_184620,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_170574,c_8233]) ).
tcf(c_184621,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_170574,c_8245]) ).
tcf(c_184622,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_170574,c_8232]) ).
tcf(c_184623,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_170574,c_168239]) ).
tcf(c_184624,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_170574,c_168240]) ).
tcf(c_184625,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_170574,c_168265]) ).
tcf(c_184626,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_170574,c_169314]) ).
tcf(c_184627,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_170574,c_172930]) ).
tcf(c_184725,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_171872,c_151]) ).
tcf(c_184726,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_171872,c_60]) ).
tcf(c_184728,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK10(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_171872,c_293]) ).
tcf(c_184729,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_171872,c_8246]) ).
tcf(c_184730,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_171872,c_8233]) ).
tcf(c_184731,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_171872,c_8245]) ).
tcf(c_184732,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_171872,c_8232]) ).
tcf(c_184733,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_171872,c_168239]) ).
tcf(c_184734,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_171872,c_168240]) ).
tcf(c_184735,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_171872,c_168265]) ).
tcf(c_184736,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_171872,c_169314]) ).
tcf(c_184737,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_171872,c_172930]) ).
tcf(c_184749,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_184734,c_168543]) ).
tcf(c_184793,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_184408,c_170897]) ).
tcf(c_184796,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_184793,c_170458,c_8255]) ).
tcf(c_184826,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_181892,c_170897]) ).
tcf(c_184827,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_181892,c_178481]) ).
tcf(c_184828,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_181892,c_168423]) ).
tcf(c_184833,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_184826,c_168076]) ).
tcf(c_184872,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_182015,c_170897]) ).
tcf(c_184873,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182015,c_178480]) ).
tcf(c_184874,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182015,c_168422]) ).
tcf(c_184879,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_184872,c_174072]) ).
tcf(c_184889,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_182028,c_170897]) ).
tcf(c_184890,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182028,c_178481]) ).
tcf(c_184891,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182028,c_168423]) ).
tcf(c_185040,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_171888,c_151]) ).
tcf(c_185041,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_171888,c_60]) ).
tcf(c_185043,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK14(sK2)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_171888,c_293]) ).
tcf(c_185044,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_171888,c_8246]) ).
tcf(c_185045,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_171888,c_8233]) ).
tcf(c_185046,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_171888,c_8245]) ).
tcf(c_185047,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_171888,c_8232]) ).
tcf(c_185048,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_171888,c_168239]) ).
tcf(c_185049,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_171888,c_168240]) ).
tcf(c_185050,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_171888,c_168265]) ).
tcf(c_185051,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_171888,c_169314]) ).
tcf(c_185052,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_171888,c_172930]) ).
tcf(c_185064,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_185049,c_168865]) ).
tcf(c_185125,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_172247,c_151]) ).
tcf(c_185126,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_172247,c_60]) ).
tcf(c_185128,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK10(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_172247,c_293]) ).
tcf(c_185129,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_172247,c_8246]) ).
tcf(c_185130,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_172247,c_8233]) ).
tcf(c_185131,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_172247,c_8245]) ).
tcf(c_185132,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_172247,c_8232]) ).
tcf(c_185133,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_172247,c_168239]) ).
tcf(c_185134,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_172247,c_168240]) ).
tcf(c_185135,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_172247,c_168265]) ).
tcf(c_185136,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_172247,c_169314]) ).
tcf(c_185137,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_172247,c_172930]) ).
tcf(c_185152,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_185133,c_168541]) ).
tcf(c_185209,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_172389,c_151]) ).
tcf(c_185210,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_172389,c_60]) ).
tcf(c_185212,plain,
! [X0: $i] :
( m1_subset_1(u1_struct_0(sK14(sK3)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_172389,c_293]) ).
tcf(c_185213,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_172389,c_8246]) ).
tcf(c_185214,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_172389,c_8233]) ).
tcf(c_185215,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_172389,c_8245]) ).
tcf(c_185216,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_172389,c_8232]) ).
tcf(c_185217,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_172389,c_168239]) ).
tcf(c_185218,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_172389,c_168240]) ).
tcf(c_185219,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_172389,c_168265]) ).
tcf(c_185220,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_172389,c_169314]) ).
tcf(c_185221,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_172389,c_172930]) ).
tcf(c_185236,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_185217,c_168863]) ).
tcf(c_185383,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_182352,c_170897]) ).
tcf(c_185384,plain,
( r2_hidden(sK17(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182352,c_178479]) ).
tcf(c_185385,plain,
( m1_subset_1(sK17(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182352,c_168421]) ).
tcf(c_185390,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_185383,c_170458,c_8255,c_169147]) ).
tcf(c_185436,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_182356,c_170897]) ).
tcf(c_185437,plain,
( r2_hidden(sK17(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182356,c_178481]) ).
tcf(c_185438,plain,
( m1_subset_1(sK17(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182356,c_168423]) ).
tcf(c_185443,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_185436,c_169147]) ).
tcf(c_185510,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_172,c_169792]) ).
tcf(c_185511,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_174071,c_169792]) ).
tcf(c_185512,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_8236,c_169792]) ).
tcf(c_185513,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_8238,c_169792]) ).
tcf(c_185514,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_8240,c_169792]) ).
tcf(c_185516,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_170073,c_169792]) ).
tcf(c_185517,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_168221,c_169792]) ).
tcf(c_185518,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_168230,c_169792]) ).
tcf(c_185519,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_168076,c_169792]) ).
tcf(c_185520,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_168082,c_169792]) ).
tcf(c_185521,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_168083,c_169792]) ).
tcf(c_185523,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_168267,c_169792]) ).
tcf(c_185524,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_168405,c_169792]) ).
tcf(c_185525,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_174072,c_169792]) ).
tcf(c_185526,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_168543,c_169792]) ).
tcf(c_185527,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_168865,c_169792]) ).
tcf(c_185528,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_169316,c_169792]) ).
tcf(c_185529,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_169147,c_169792]) ).
tcf(c_185530,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_169169,c_169792]) ).
tcf(c_185531,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_169200,c_169792]) ).
tcf(c_185532,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_170789,c_169792]) ).
tcf(c_185533,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_176066,c_169792]) ).
tcf(c_185534,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_177230,c_169792]) ).
tcf(c_185536,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_179339,c_169792]) ).
tcf(c_185541,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_180307,c_169792]) ).
tcf(c_185542,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_180434,c_169792]) ).
tcf(c_185543,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_180669,c_169792]) ).
tcf(c_185544,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_180719,c_169792]) ).
tcf(c_185545,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_180959,c_169792]) ).
tcf(c_185547,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_181363,c_169792]) ).
tcf(c_185549,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_181539,c_169792]) ).
tcf(c_185550,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_184330,c_169792]) ).
tcf(c_185797,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_185529,c_171148]) ).
tcf(c_185798,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_185529,c_173106]) ).
tcf(c_185799,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_185529,c_168269]) ).
tcf(c_185800,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_185529,c_167658]) ).
tcf(c_185801,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_185797,c_169147]) ).
tcf(c_185805,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_185798,c_169147]) ).
tcf(c_185810,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_185799,c_169147]) ).
tcf(c_185814,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_185800,c_169147]) ).
tcf(c_185838,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_8213,c_178443]) ).
tcf(c_185839,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_8211,c_178443]) ).
tcf(c_185840,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_169797,c_178443]) ).
tcf(c_185841,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_185840,c_8213,c_8214]) ).
tcf(c_185842,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_185839,c_8211,c_8212]) ).
tcf(c_185844,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_185838,c_8213,c_8214]) ).
tcf(c_185851,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_175079,c_170897]) ).
tcf(c_185854,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_185851,c_170458,c_8255]) ).
tcf(c_185865,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_175080,c_170897]) ).
tcf(c_185868,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_185865,c_170458,c_8255]) ).
tcf(c_185879,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_175338,c_170897]) ).
tcf(c_185882,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_175338,c_169318]) ).
tcf(c_185883,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_175338,c_169317]) ).
tcf(c_185884,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_175338,c_169313]) ).
tcf(c_185889,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_185879,c_174072]) ).
tcf(c_185899,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_185882,c_174072]) ).
tcf(c_186023,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_175344,c_170897]) ).
tcf(c_186026,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_186023,c_174072]) ).
tcf(c_186036,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_182531,c_170897]) ).
tcf(c_186037,plain,
( r2_hidden(sK19(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182531,c_178479]) ).
tcf(c_186038,plain,
( m1_subset_1(sK19(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182531,c_168421]) ).
tcf(c_186043,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_186036,c_170458,c_8255,c_169169]) ).
tcf(c_186051,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_182535,c_170897]) ).
tcf(c_186052,plain,
( r2_hidden(sK19(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182535,c_178481]) ).
tcf(c_186053,plain,
( m1_subset_1(sK19(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182535,c_168423]) ).
tcf(c_186058,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_186051,c_169169]) ).
tcf(c_186082,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_185530,c_171148]) ).
tcf(c_186083,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_185530,c_173106]) ).
tcf(c_186084,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_185530,c_168269]) ).
tcf(c_186085,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_185530,c_167658]) ).
tcf(c_186086,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_186082,c_169169]) ).
tcf(c_186090,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_186083,c_169169]) ).
tcf(c_186095,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_186084,c_169169]) ).
tcf(c_186099,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_186085,c_169169]) ).
tcf(c_186108,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_185531,c_171148]) ).
tcf(c_186109,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_185531,c_173106]) ).
tcf(c_186110,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_185531,c_168269]) ).
tcf(c_186111,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_185531,c_167658]) ).
tcf(c_186112,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_186108,c_169200]) ).
tcf(c_186116,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_186109,c_169200]) ).
tcf(c_186121,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_186110,c_169200]) ).
tcf(c_186125,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_186111,c_169200]) ).
tcf(c_186146,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_185526,c_171148]) ).
tcf(c_186147,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_185526,c_173106]) ).
tcf(c_186148,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_185526,c_168269]) ).
tcf(c_186149,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_185526,c_167658]) ).
tcf(c_186150,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_186146,c_168543]) ).
tcf(c_186154,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_186147,c_168543]) ).
tcf(c_186159,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_186148,c_168543]) ).
tcf(c_186163,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_186149,c_168543]) ).
tcf(c_186187,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_185527,c_171148]) ).
tcf(c_186188,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_185527,c_173106]) ).
tcf(c_186189,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_185527,c_168269]) ).
tcf(c_186190,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_185527,c_167658]) ).
tcf(c_186191,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_186187,c_168865]) ).
tcf(c_186195,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_186188,c_168865]) ).
tcf(c_186200,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_186189,c_168865]) ).
tcf(c_186204,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_186190,c_168865]) ).
tcf(c_186259,plain,
sK22(sK14(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_178092]) ).
tcf(c_186260,plain,
sK22(sK14(sK8)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_178092]) ).
tcf(c_186261,plain,
sK22(sK14(sK3)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_178092]) ).
tcf(c_186262,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_178092]) ).
tcf(c_186263,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_178092]) ).
tcf(c_186268,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK2)) ),
inference(superposition,[status(thm)],[c_186259,c_168660]) ).
tcf(c_186269,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_186259,c_178236]) ).
tcf(c_186270,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK2)))
| ~ l1_pre_topc(sK14(sK2)) ),
inference(superposition,[status(thm)],[c_186259,c_168563]) ).
tcf(c_186271,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_186259,c_253]) ).
tcf(c_186273,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_186269,c_186259]) ).
tcf(c_186274,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_186273,c_168112,c_168865]) ).
tcf(c_186279,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK8)) ),
inference(superposition,[status(thm)],[c_186260,c_168660]) ).
tcf(c_186280,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_186260,c_178236]) ).
tcf(c_186281,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK8)))
| ~ l1_pre_topc(sK14(sK8)) ),
inference(superposition,[status(thm)],[c_186260,c_168563]) ).
tcf(c_186282,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_186260,c_253]) ).
tcf(c_186284,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_186280,c_186260]) ).
tcf(c_186285,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_186284,c_168112]) ).
tcf(c_186295,plain,
sK22(sK10(sK2)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_178093]) ).
tcf(c_186296,plain,
sK22(sK10(sK8)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_178093]) ).
tcf(c_186297,plain,
sK22(sK10(sK3)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_178093]) ).
tcf(c_186298,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_178093]) ).
tcf(c_186299,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_178093]) ).
tcf(c_186304,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK3)) ),
inference(superposition,[status(thm)],[c_186261,c_168660]) ).
tcf(c_186305,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_186261,c_178236]) ).
tcf(c_186306,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK3)))
| ~ l1_pre_topc(sK14(sK3)) ),
inference(superposition,[status(thm)],[c_186261,c_168563]) ).
tcf(c_186307,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_186261,c_253]) ).
tcf(c_186309,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_186305,c_186261]) ).
tcf(c_186310,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_186309,c_168112]) ).
tcf(c_186325,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK2)) ),
inference(superposition,[status(thm)],[c_186295,c_168660]) ).
tcf(c_186326,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_186295,c_178236]) ).
tcf(c_186327,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK2)))
| ~ l1_pre_topc(sK10(sK2)) ),
inference(superposition,[status(thm)],[c_186295,c_168563]) ).
tcf(c_186328,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_186295,c_253]) ).
tcf(c_186330,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_186326,c_186295]) ).
tcf(c_186331,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_186330,c_168112,c_168543]) ).
tcf(c_186336,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK8)) ),
inference(superposition,[status(thm)],[c_186296,c_168660]) ).
tcf(c_186337,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_186296,c_178236]) ).
tcf(c_186338,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK8)))
| ~ l1_pre_topc(sK10(sK8)) ),
inference(superposition,[status(thm)],[c_186296,c_168563]) ).
tcf(c_186339,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_186296,c_253]) ).
tcf(c_186341,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_186337,c_186296]) ).
tcf(c_186342,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_186341,c_168112]) ).
tcf(c_186348,plain,
( r2_hidden(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK3)) ),
inference(superposition,[status(thm)],[c_186297,c_168660]) ).
tcf(c_186349,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_186297,c_178236]) ).
tcf(c_186350,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK3)))
| ~ l1_pre_topc(sK10(sK3)) ),
inference(superposition,[status(thm)],[c_186297,c_168563]) ).
tcf(c_186351,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_186297,c_253]) ).
tcf(c_186353,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_186349,c_186297]) ).
tcf(c_186354,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_186353,c_168112]) ).
tcf(c_186360,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_186274,c_59,c_4125,c_29167]) ).
tcf(c_186368,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_168171,c_186360]) ).
tcf(c_186375,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_186331,c_59,c_4149,c_29565]) ).
tcf(c_186383,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_168171,c_186375]) ).
tcf(c_186402,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_169797,c_185516]) ).
tcf(c_186403,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_185516,c_171148]) ).
tcf(c_186404,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_185516,c_173106]) ).
tcf(c_186405,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_185516,c_168269]) ).
tcf(c_186406,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_185516,c_167658]) ).
tcf(c_186407,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_185516,c_167764]) ).
tcf(c_186408,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_186402,c_169797]) ).
tcf(c_186601,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(k1_zfmisc_1(X1),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_168652,c_178483]) ).
tcf(c_186605,plain,
! [X0: $i] :
( ~ r1_tarski(X0,iPr_def_18)
| ~ r2_hidden(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_8212,c_178483]) ).
tcf(c_186606,plain,
! [X0: $i] :
( ~ r1_tarski(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_8214,c_178483]) ).
tcf(c_186607,plain,
! [X0: $i] :
( ~ r1_tarski(X0,iPr_def_28)
| ~ r2_hidden(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_8222,c_178483]) ).
tcf(c_186624,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_168397,c_186605]) ).
tcf(c_186625,plain,
~ r2_hidden(iPr_def_19,sK12(k1_zfmisc_1(iPr_def_18))),
inference(superposition,[status(thm)],[c_168435,c_186605]) ).
tcf(c_186627,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_174623,c_186605]) ).
tcf(c_186628,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_168783,c_186605]) ).
tcf(c_186629,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_174651,c_186605]) ).
tcf(c_186630,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_168960,c_186605]) ).
tcf(c_186631,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_169395,c_186605]) ).
tcf(c_186632,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_174444,c_186605]) ).
tcf(c_186633,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_169723,c_186605]) ).
tcf(c_186634,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_174484,c_186605]) ).
tcf(c_186635,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_169942,c_186605]) ).
tcf(c_186636,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_174571,c_186605]) ).
tcf(c_186637,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_169968,c_186605]) ).
tcf(c_186638,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_168380,c_186605]) ).
tcf(c_186639,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_168375,c_186605]) ).
tcf(c_186640,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_171942,c_186605]) ).
tcf(c_186641,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_168370,c_186605]) ).
tcf(c_186650,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_175075,c_186605]) ).
tcf(c_186657,plain,
! [X0: $i] :
( r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(iPr_def_19,sK6(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_178130,c_186605]) ).
tcf(c_186659,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_181888,c_186605]) ).
tcf(c_186660,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_182352,c_186605]) ).
tcf(c_186661,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_182531,c_186605]) ).
tcf(c_186782,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_168389,c_186606]) ).
tcf(c_186784,plain,
~ r2_hidden(iPr_def_21,sK12(k1_zfmisc_1(iPr_def_20))),
inference(superposition,[status(thm)],[c_168435,c_186606]) ).
tcf(c_186790,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_169395,c_186606]) ).
tcf(c_186800,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_171942,c_186606]) ).
tcf(c_186813,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_175348,c_186606]) ).
tcf(c_186820,plain,
! [X0: $i] :
( r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(iPr_def_21,sK6(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_178122,c_186606]) ).
tcf(c_186822,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_182015,c_186606]) ).
tcf(c_186865,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_168389,c_186607]) ).
tcf(c_186866,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_168397,c_186607]) ).
tcf(c_186867,plain,
~ r2_hidden(iPr_def_29,sK12(k1_zfmisc_1(iPr_def_28))),
inference(superposition,[status(thm)],[c_168435,c_186607]) ).
tcf(c_186869,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_174623,c_186607]) ).
tcf(c_186870,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_168783,c_186607]) ).
tcf(c_186871,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_174651,c_186607]) ).
tcf(c_186872,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_168960,c_186607]) ).
tcf(c_186873,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_169395,c_186607]) ).
tcf(c_186874,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_174444,c_186607]) ).
tcf(c_186875,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_169723,c_186607]) ).
tcf(c_186876,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_174484,c_186607]) ).
tcf(c_186877,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_169942,c_186607]) ).
tcf(c_186878,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_174571,c_186607]) ).
tcf(c_186879,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_169968,c_186607]) ).
tcf(c_186880,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_168380,c_186607]) ).
tcf(c_186881,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_168375,c_186607]) ).
tcf(c_186882,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_171942,c_186607]) ).
tcf(c_186883,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_168370,c_186607]) ).
tcf(c_186889,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_175460,c_186607]) ).
tcf(c_186890,plain,
! [X0: $i] :
( r1_tarski(iPr_def_29,X0)
| ~ r2_hidden(iPr_def_29,sK6(iPr_def_29,X0)) ),
inference(superposition,[status(thm)],[c_178134,c_186607]) ).
tcf(c_186891,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_181892,c_186607]) ).
tcf(c_186892,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_182028,c_186607]) ).
tcf(c_186894,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_182356,c_186607]) ).
tcf(c_186895,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_182535,c_186607]) ).
tcf(c_187057,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_182660,c_170897]) ).
tcf(c_187058,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_182660,c_186605]) ).
tcf(c_187059,plain,
( r2_hidden(sK25(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182660,c_178479]) ).
tcf(c_187060,plain,
( m1_subset_1(sK25(sK2),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_182660,c_168421]) ).
tcf(c_187067,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_187057,c_170458,c_8255,c_169200]) ).
tcf(c_187075,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_182664,c_170897]) ).
tcf(c_187076,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_182664,c_186607]) ).
tcf(c_187077,plain,
( r2_hidden(sK25(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182664,c_178481]) ).
tcf(c_187078,plain,
( m1_subset_1(sK25(sK2),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182664,c_168423]) ).
tcf(c_187085,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_187075,c_169200]) ).
tcf(c_187095,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_182816,c_170897]) ).
tcf(c_187096,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_182816,c_186606]) ).
tcf(c_187097,plain,
( r2_hidden(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182816,c_178480]) ).
tcf(c_187098,plain,
( m1_subset_1(sK17(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182816,c_168422]) ).
tcf(c_187105,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_187095,c_174072]) ).
tcf(c_187137,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_182829,c_170897]) ).
tcf(c_187138,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_182829,c_186607]) ).
tcf(c_187139,plain,
( r2_hidden(sK17(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182829,c_178481]) ).
tcf(c_187140,plain,
( m1_subset_1(sK17(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182829,c_168423]) ).
tcf(c_187350,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_185810,c_170897]) ).
tcf(c_187351,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_185810,c_186605]) ).
tcf(c_187352,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_185810,c_178479]) ).
tcf(c_187353,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_185810,c_168421]) ).
tcf(c_187357,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_185810,c_186607]) ).
tcf(c_187358,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_185810,c_178481]) ).
tcf(c_187359,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_185810,c_168423]) ).
tcf(c_187378,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_187350,c_169147]) ).
tcf(c_187419,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_168671]) ).
tcf(c_187420,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_168671]) ).
tcf(c_187421,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_168671,c_151]) ).
tcf(c_187422,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_168671,c_60]) ).
tcf(c_187425,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_168671,c_8246]) ).
tcf(c_187426,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_168671,c_8233]) ).
tcf(c_187427,plain,
( r2_hidden(u1_struct_0(sK10(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_187420,c_8212]) ).
tcf(c_187428,plain,
( r2_hidden(u1_struct_0(sK10(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_187419,c_8214]) ).
tcf(c_187450,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_169060,c_179238]) ).
tcf(c_187451,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_169061,c_179238]) ).
tcf(c_187453,plain,
~ r1_tarski(iPr_def_21,sK16(iPr_def_20)),
inference(superposition,[status(thm)],[c_169574,c_179238]) ).
tcf(c_187454,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_169746,c_179238]) ).
tcf(c_187456,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_170041,c_179238]) ).
tcf(c_187457,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_170574,c_179238]) ).
tcf(c_187461,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_171557,c_179238]) ).
tcf(c_187462,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_171779,c_179238]) ).
tcf(c_187463,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_171815,c_179238]) ).
tcf(c_187466,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_172247,c_179238]) ).
tcf(c_187467,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_172389,c_179238]) ).
tcf(c_187468,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_179238]) ).
tcf(c_187470,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_179037,c_179238]) ).
tcf(c_187472,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_20))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_179238]) ).
tcf(c_187587,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_169060,c_179337]) ).
tcf(c_187588,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_169061,c_179337]) ).
tcf(c_187591,plain,
~ r1_tarski(iPr_def_19,sK16(iPr_def_18)),
inference(superposition,[status(thm)],[c_169746,c_179337]) ).
tcf(c_187593,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_170041,c_179337]) ).
tcf(c_187594,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_170574,c_179337]) ).
tcf(c_187595,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_171488,c_179337]) ).
tcf(c_187596,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_171508,c_179337]) ).
tcf(c_187597,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_171530,c_179337]) ).
tcf(c_187601,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_171872,c_179337]) ).
tcf(c_187602,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_171888,c_179337]) ).
tcf(c_187605,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_179337]) ).
tcf(c_187606,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_177390,c_179337]) ).
tcf(c_187608,plain,
( ~ r1_tarski(iPr_def_21,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_179337]) ).
tcf(c_187609,plain,
( ~ r1_tarski(iPr_def_29,sK16(iPr_def_18))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_179337]) ).
tcf(c_187659,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_179661,c_151]) ).
tcf(c_187660,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k2_tex_4(sK3,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_179661,c_60]) ).
tcf(c_187662,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_179661,c_293]) ).
tcf(c_187663,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_179661,c_8246]) ).
tcf(c_187664,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_179661,c_8233]) ).
tcf(c_187665,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_179661,c_8245]) ).
tcf(c_187666,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_179661,c_8232]) ).
tcf(c_187667,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_179661,c_168239]) ).
tcf(c_187668,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_179661,c_168240]) ).
tcf(c_187669,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_30)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_179661,c_168243]) ).
tcf(c_187670,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_179661,c_168265]) ).
tcf(c_187671,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_179661,c_169314]) ).
tcf(c_187672,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_179661,c_172930]) ).
tcf(c_187673,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_179661,c_179238]) ).
tcf(c_187675,plain,
~ r1_tarski(iPr_def_19,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_187669,c_168476]) ).
tcf(c_187682,plain,
~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_187672,c_179619]) ).
tcf(c_187691,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_187667,c_179620]) ).
tcf(c_187815,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_186095,c_170897]) ).
tcf(c_187816,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_186095,c_186605]) ).
tcf(c_187817,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_186095,c_178479]) ).
tcf(c_187818,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_186095,c_168421]) ).
tcf(c_187822,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_186095,c_186607]) ).
tcf(c_187823,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_186095,c_178481]) ).
tcf(c_187824,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_186095,c_168423]) ).
tcf(c_187843,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_187815,c_169169]) ).
tcf(c_187907,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_186121,c_170897]) ).
tcf(c_187908,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_186121,c_186605]) ).
tcf(c_187909,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_186121,c_178479]) ).
tcf(c_187910,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_186121,c_168421]) ).
tcf(c_187914,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_186121,c_186607]) ).
tcf(c_187915,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_186121,c_178481]) ).
tcf(c_187916,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_186121,c_168423]) ).
tcf(c_187935,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_187907,c_169200]) ).
tcf(c_188002,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_173700,c_185814]) ).
tcf(c_188003,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_180062,c_185814]) ).
tcf(c_188020,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_173700,c_186099]) ).
tcf(c_188021,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_180142,c_186099]) ).
tcf(c_188038,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_173700,c_186125]) ).
tcf(c_188039,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_180239,c_186125]) ).
tcf(c_188054,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_186159,c_170897]) ).
tcf(c_188055,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_186159,c_186605]) ).
tcf(c_188056,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_186159,c_178479]) ).
tcf(c_188057,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_186159,c_168421]) ).
tcf(c_188061,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_186159,c_186607]) ).
tcf(c_188062,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_186159,c_178481]) ).
tcf(c_188063,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_186159,c_168423]) ).
tcf(c_188082,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_188054,c_168543]) ).
tcf(c_188181,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_186200,c_170897]) ).
tcf(c_188182,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_186200,c_186605]) ).
tcf(c_188183,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_186200,c_178479]) ).
tcf(c_188184,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_186200,c_168421]) ).
tcf(c_188188,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_186200,c_186607]) ).
tcf(c_188189,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_186200,c_178481]) ).
tcf(c_188190,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_186200,c_168423]) ).
tcf(c_188209,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_188181,c_168865]) ).
tcf(c_188224,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_173700,c_186163]) ).
tcf(c_188237,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_168674,c_151]) ).
tcf(c_188238,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_168674,c_60]) ).
tcf(c_188239,plain,
( ~ l1_pre_topc(sK20)
| ~ v2_pre_topc(sK20)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_168674,c_304]) ).
tcf(c_188241,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_168674,c_8246]) ).
tcf(c_188242,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_168674,c_8233]) ).
tcf(c_188286,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_169060,c_180060]) ).
tcf(c_188287,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_169061,c_180060]) ).
tcf(c_188292,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_170041,c_180060]) ).
tcf(c_188293,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_170574,c_180060]) ).
tcf(c_188294,plain,
~ r1_tarski(iPr_def_21,sK17(sK2)),
inference(superposition,[status(thm)],[c_171488,c_180060]) ).
tcf(c_188297,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_171557,c_180060]) ).
tcf(c_188298,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_171779,c_180060]) ).
tcf(c_188299,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_171815,c_180060]) ).
tcf(c_188302,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_172247,c_180060]) ).
tcf(c_188303,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_172389,c_180060]) ).
tcf(c_188304,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_180060]) ).
tcf(c_188306,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_179037,c_180060]) ).
tcf(c_188308,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK2))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_180060]) ).
tcf(c_188309,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_179661,c_180060]) ).
tcf(c_188366,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_169060,c_180140]) ).
tcf(c_188367,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_169061,c_180140]) ).
tcf(c_188372,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_170041,c_180140]) ).
tcf(c_188373,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_170574,c_180140]) ).
tcf(c_188375,plain,
~ r1_tarski(iPr_def_21,sK19(sK2)),
inference(superposition,[status(thm)],[c_171508,c_180140]) ).
tcf(c_188377,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_171557,c_180140]) ).
tcf(c_188378,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_171779,c_180140]) ).
tcf(c_188379,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_171815,c_180140]) ).
tcf(c_188382,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_172247,c_180140]) ).
tcf(c_188383,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_172389,c_180140]) ).
tcf(c_188384,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_180140]) ).
tcf(c_188386,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_179037,c_180140]) ).
tcf(c_188388,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK2))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_180140]) ).
tcf(c_188389,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_179661,c_180140]) ).
tcf(c_188464,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_169060,c_180237]) ).
tcf(c_188465,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_169061,c_180237]) ).
tcf(c_188470,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_170041,c_180237]) ).
tcf(c_188471,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_170574,c_180237]) ).
tcf(c_188474,plain,
~ r1_tarski(iPr_def_21,sK25(sK2)),
inference(superposition,[status(thm)],[c_171530,c_180237]) ).
tcf(c_188475,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_171557,c_180237]) ).
tcf(c_188476,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_171779,c_180237]) ).
tcf(c_188477,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_171815,c_180237]) ).
tcf(c_188480,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_172247,c_180237]) ).
tcf(c_188481,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_172389,c_180237]) ).
tcf(c_188482,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_180237]) ).
tcf(c_188484,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_179037,c_180237]) ).
tcf(c_188486,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK2))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_180237]) ).
tcf(c_188487,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_179661,c_180237]) ).
tcf(c_188561,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_169060,c_180305]) ).
tcf(c_188562,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_169061,c_180305]) ).
tcf(c_188567,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_170041,c_180305]) ).
tcf(c_188568,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_170574,c_180305]) ).
tcf(c_188572,plain,
~ r1_tarski(iPr_def_19,sK17(sK3)),
inference(superposition,[status(thm)],[c_171557,c_180305]) ).
tcf(c_188575,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_171872,c_180305]) ).
tcf(c_188576,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_171888,c_180305]) ).
tcf(c_188579,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_180305]) ).
tcf(c_188580,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177390,c_180305]) ).
tcf(c_188582,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_180305]) ).
tcf(c_188583,plain,
( ~ r1_tarski(iPr_def_29,sK17(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_180305]) ).
tcf(c_188650,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_173700,c_186204]) ).
tcf(c_188804,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_185512,c_171148]) ).
tcf(c_188805,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_185512,c_173106]) ).
tcf(c_188806,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_185512,c_168269]) ).
tcf(c_188807,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_185512,c_167658]) ).
tcf(c_188808,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_188804,c_8236]) ).
tcf(c_188812,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_188805,c_8236]) ).
tcf(c_188817,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_188806,c_8236]) ).
tcf(c_188821,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_188807,c_8236]) ).
tcf(c_188839,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_185513,c_171148]) ).
tcf(c_188840,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_185513,c_173106]) ).
tcf(c_188841,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_185513,c_168269]) ).
tcf(c_188842,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_185513,c_167658]) ).
tcf(c_188843,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_188839,c_8238]) ).
tcf(c_188847,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_188840,c_8238]) ).
tcf(c_188852,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_188841,c_8238]) ).
tcf(c_188856,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_188842,c_8238]) ).
tcf(c_188906,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_168678,c_151]) ).
tcf(c_188907,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_168678,c_60]) ).
tcf(c_188910,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_168678,c_8246]) ).
tcf(c_188911,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_168678,c_8233]) ).
tcf(c_188937,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_169060,c_180432]) ).
tcf(c_188938,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_169061,c_180432]) ).
tcf(c_188943,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_170041,c_180432]) ).
tcf(c_188944,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_170574,c_180432]) ).
tcf(c_188949,plain,
~ r1_tarski(iPr_def_19,sK19(sK3)),
inference(superposition,[status(thm)],[c_171779,c_180432]) ).
tcf(c_188951,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_171872,c_180432]) ).
tcf(c_188952,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_171888,c_180432]) ).
tcf(c_188955,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_180432]) ).
tcf(c_188956,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177390,c_180432]) ).
tcf(c_188958,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_180432]) ).
tcf(c_188959,plain,
( ~ r1_tarski(iPr_def_29,sK19(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_180432]) ).
tcf(c_189066,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_169060,c_180667]) ).
tcf(c_189067,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_169061,c_180667]) ).
tcf(c_189072,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_170041,c_180667]) ).
tcf(c_189073,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_170574,c_180667]) ).
tcf(c_189079,plain,
~ r1_tarski(iPr_def_19,sK25(sK3)),
inference(superposition,[status(thm)],[c_171815,c_180667]) ).
tcf(c_189080,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_171872,c_180667]) ).
tcf(c_189081,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_171888,c_180667]) ).
tcf(c_189084,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_180667]) ).
tcf(c_189085,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177390,c_180667]) ).
tcf(c_189087,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_180667]) ).
tcf(c_189088,plain,
( ~ r1_tarski(iPr_def_29,sK25(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_180667]) ).
tcf(c_189180,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_169060,c_180717]) ).
tcf(c_189181,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_169061,c_180717]) ).
tcf(c_189194,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_171872,c_180717]) ).
tcf(c_189195,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_171888,c_180717]) ).
tcf(c_189196,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_172247,c_180717]) ).
tcf(c_189197,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_172389,c_180717]) ).
tcf(c_189198,plain,
~ r1_tarski(iPr_def_29,sK16(iPr_def_28)),
inference(superposition,[status(thm)],[c_172444,c_180717]) ).
tcf(c_189199,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_177390,c_180717]) ).
tcf(c_189200,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_179037,c_180717]) ).
tcf(c_189201,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_179068,c_180717]) ).
tcf(c_189203,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_179661,c_180717]) ).
tcf(c_189274,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_181106,c_151]) ).
tcf(c_189275,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k2_tex_4(sK2,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_181106,c_60]) ).
tcf(c_189277,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_181106,c_293]) ).
tcf(c_189278,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_181106,c_8246]) ).
tcf(c_189279,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_181106,c_8233]) ).
tcf(c_189280,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_181106,c_8245]) ).
tcf(c_189281,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_181106,c_8232]) ).
tcf(c_189282,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_181106,c_168239]) ).
tcf(c_189283,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_181106,c_168240]) ).
tcf(c_189284,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_30)
| ~ m1_subset_1(iPr_def_30,iPr_def_20) ),
inference(superposition,[status(thm)],[c_181106,c_168242]) ).
tcf(c_189285,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_181106,c_168265]) ).
tcf(c_189286,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_181106,c_169314]) ).
tcf(c_189287,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_181106,c_172930]) ).
tcf(c_189289,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_181106,c_179337]) ).
tcf(c_189294,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_181106,c_180305]) ).
tcf(c_189295,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_181106,c_180432]) ).
tcf(c_189296,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_181106,c_180667]) ).
tcf(c_189297,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_181106,c_180717]) ).
tcf(c_189298,plain,
~ r1_tarski(iPr_def_21,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_181106,c_180970]) ).
tcf(c_189299,plain,
~ r1_tarski(iPr_def_21,iPr_def_30),
inference(forward_subsumption_resolution,[status(thm)],[c_189284,c_176018]) ).
tcf(c_189316,plain,
~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_189287,c_180958]) ).
tcf(c_189322,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_189283,c_180959]) ).
tcf(c_189548,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_185514,c_171148]) ).
tcf(c_189549,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_185514,c_173106]) ).
tcf(c_189550,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_185514,c_168269]) ).
tcf(c_189551,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_185514,c_167658]) ).
tcf(c_189552,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_189548,c_8240]) ).
tcf(c_189556,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_189549,c_8240]) ).
tcf(c_189561,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_189550,c_8240]) ).
tcf(c_189565,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_189551,c_8240]) ).
tcf(c_189584,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_8223,c_185884]) ).
tcf(c_189585,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_185884,c_151]) ).
tcf(c_189586,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_185884,c_60]) ).
tcf(c_189587,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_185884,c_304]) ).
tcf(c_189588,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_185884,c_293]) ).
tcf(c_189589,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_185884,c_8246]) ).
tcf(c_189590,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_185884,c_8233]) ).
tcf(c_189591,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_185884,c_8245]) ).
tcf(c_189592,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_185884,c_8232]) ).
tcf(c_189593,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_185884,c_168239]) ).
tcf(c_189594,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_185884,c_168240]) ).
tcf(c_189595,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_185884,c_168265]) ).
tcf(c_189596,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_185884,c_169314]) ).
tcf(c_189597,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_185884,c_172930]) ).
tcf(c_189598,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_185884,c_179238]) ).
tcf(c_189599,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_185884,c_179337]) ).
tcf(c_189601,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_185884,c_180060]) ).
tcf(c_189602,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_185884,c_180140]) ).
tcf(c_189603,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_185884,c_180237]) ).
tcf(c_189604,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_185884,c_180305]) ).
tcf(c_189605,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_185884,c_180432]) ).
tcf(c_189606,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_185884,c_180667]) ).
tcf(c_189607,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_185884,c_180717]) ).
tcf(c_189747,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_172,c_169848]) ).
tcf(c_189748,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_8228,c_169848]) ).
tcf(c_189749,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_173700,c_169848]) ).
tcf(c_189750,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_8248,c_169848]) ).
tcf(c_189751,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_8250,c_169848]) ).
tcf(c_189752,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_170069,c_169848]) ).
tcf(c_189754,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_168077,c_169848]) ).
tcf(c_189755,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_168082,c_169848]) ).
tcf(c_189756,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_168083,c_169848]) ).
tcf(c_189758,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_168267,c_169848]) ).
tcf(c_189759,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_173701,c_169848]) ).
tcf(c_189760,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_168541,c_169848]) ).
tcf(c_189761,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_168863,c_169848]) ).
tcf(c_189762,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_169316,c_169848]) ).
tcf(c_189763,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_169145,c_169848]) ).
tcf(c_189764,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_169167,c_169848]) ).
tcf(c_189765,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_169198,c_169848]) ).
tcf(c_189766,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_169760,c_169848]) ).
tcf(c_189767,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_169771,c_169848]) ).
tcf(c_189768,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_169780,c_169848]) ).
tcf(c_189769,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_170783,c_169848]) ).
tcf(c_189770,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_179240,c_169848]) ).
tcf(c_189773,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_179620,c_169848]) ).
tcf(c_189774,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_180062,c_169848]) ).
tcf(c_189775,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_180142,c_169848]) ).
tcf(c_189776,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_180239,c_169848]) ).
tcf(c_189780,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_180719,c_169848]) ).
tcf(c_189781,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_181221,c_169848]) ).
tcf(c_189783,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_181447,c_169848]) ).
tcf(c_189784,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_181539,c_169848]) ).
tcf(c_189785,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_184383,c_169848]) ).
tcf(c_190044,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_189750,c_168268]) ).
tcf(c_190045,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_189750,c_167693]) ).
tcf(c_190046,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_190044,c_8248]) ).
tcf(c_190050,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_190045,c_8248]) ).
tcf(c_190059,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_189751,c_168268]) ).
tcf(c_190060,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_189751,c_167693]) ).
tcf(c_190061,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_190059,c_8250]) ).
tcf(c_190065,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_190060,c_8250]) ).
tcf(c_190134,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_169060,c_181219]) ).
tcf(c_190135,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_169061,c_181219]) ).
tcf(c_190136,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_185884,c_181219]) ).
tcf(c_190141,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_170041,c_181219]) ).
tcf(c_190142,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_170574,c_181219]) ).
tcf(c_190151,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_172247,c_181219]) ).
tcf(c_190152,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_172389,c_181219]) ).
tcf(c_190154,plain,
~ r1_tarski(iPr_def_21,k1_tarski(iPr_def_27)),
inference(superposition,[status(thm)],[c_177390,c_181219]) ).
tcf(c_190155,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_179037,c_181219]) ).
tcf(c_190157,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_179127,c_181219]) ).
tcf(c_190158,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_179661,c_181219]) ).
tcf(c_190206,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_169060,c_181361]) ).
tcf(c_190207,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_169061,c_181361]) ).
tcf(c_190208,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_185884,c_181361]) ).
tcf(c_190213,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_170041,c_181361]) ).
tcf(c_190214,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_170574,c_181361]) ).
tcf(c_190221,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_171872,c_181361]) ).
tcf(c_190222,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_171888,c_181361]) ).
tcf(c_190227,plain,
~ r1_tarski(iPr_def_19,sK12(iPr_def_19)),
inference(superposition,[status(thm)],[c_179037,c_181361]) ).
tcf(c_190228,plain,
( ~ r1_tarski(iPr_def_21,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_181361]) ).
tcf(c_190229,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_19))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_181361]) ).
tcf(c_190231,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_181106,c_181361]) ).
tcf(c_190456,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_169060,c_181445]) ).
tcf(c_190457,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_169061,c_181445]) ).
tcf(c_190458,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_185884,c_181445]) ).
tcf(c_190463,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_170041,c_181445]) ).
tcf(c_190464,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_170574,c_181445]) ).
tcf(c_190473,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_172247,c_181445]) ).
tcf(c_190474,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_172389,c_181445]) ).
tcf(c_190478,plain,
~ r1_tarski(iPr_def_21,sK12(iPr_def_21)),
inference(superposition,[status(thm)],[c_179068,c_181445]) ).
tcf(c_190479,plain,
( ~ r1_tarski(iPr_def_29,sK12(iPr_def_21))
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_181445]) ).
tcf(c_190480,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_179661,c_181445]) ).
tcf(c_190528,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_169060,c_181537]) ).
tcf(c_190529,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_169061,c_181537]) ).
tcf(c_190530,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_185884,c_181537]) ).
tcf(c_190543,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_171872,c_181537]) ).
tcf(c_190544,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_171888,c_181537]) ).
tcf(c_190545,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_172247,c_181537]) ).
tcf(c_190546,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_172389,c_181537]) ).
tcf(c_190551,plain,
~ r1_tarski(iPr_def_29,sK12(iPr_def_29)),
inference(superposition,[status(thm)],[c_179127,c_181537]) ).
tcf(c_190552,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_179661,c_181537]) ).
tcf(c_190553,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_181106,c_181537]) ).
tcf(c_190681,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_168866]) ).
tcf(c_190682,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_168866]) ).
tcf(c_190683,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_168866,c_151]) ).
tcf(c_190684,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_168866,c_60]) ).
tcf(c_190687,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_168866,c_8246]) ).
tcf(c_190688,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_168866,c_8233]) ).
tcf(c_190689,plain,
( r2_hidden(u1_struct_0(sK14(sK3)),iPr_def_19)
| ~ l1_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_190682,c_8212]) ).
tcf(c_190690,plain,
( r2_hidden(u1_struct_0(sK14(sK2)),iPr_def_21)
| ~ l1_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_190681,c_8214]) ).
tcf(c_190760,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_183007,c_170897]) ).
tcf(c_190761,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_183007,c_186606]) ).
tcf(c_190762,plain,
( r2_hidden(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183007,c_178480]) ).
tcf(c_190763,plain,
( m1_subset_1(sK19(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183007,c_168422]) ).
tcf(c_190770,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_190760,c_174072]) ).
tcf(c_190865,plain,
( r2_hidden(sK17(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_169148]) ).
tcf(c_190866,plain,
( r2_hidden(sK17(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_169148]) ).
tcf(c_190867,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_169148,c_151]) ).
tcf(c_190868,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_169148,c_60]) ).
tcf(c_190871,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_169148,c_8246]) ).
tcf(c_190872,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_169148,c_8233]) ).
tcf(c_190873,plain,
( r2_hidden(sK17(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_190866,c_8212]) ).
tcf(c_190874,plain,
( r2_hidden(sK17(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_190865,c_8214]) ).
tcf(c_190935,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_183020,c_170897]) ).
tcf(c_190936,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_183020,c_186607]) ).
tcf(c_190937,plain,
( r2_hidden(sK19(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183020,c_178481]) ).
tcf(c_190938,plain,
( m1_subset_1(sK19(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183020,c_168423]) ).
tcf(c_190964,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_183125,c_170897]) ).
tcf(c_190965,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_183125,c_186606]) ).
tcf(c_190966,plain,
( r2_hidden(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183125,c_178480]) ).
tcf(c_190967,plain,
( m1_subset_1(sK25(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183125,c_168422]) ).
tcf(c_190974,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_190964,c_174072]) ).
tcf(c_190984,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_183138,c_170897]) ).
tcf(c_190985,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_183138,c_186607]) ).
tcf(c_190986,plain,
( r2_hidden(sK25(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183138,c_178481]) ).
tcf(c_190987,plain,
( m1_subset_1(sK25(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183138,c_168423]) ).
tcf(c_191004,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_183256,c_170897]) ).
tcf(c_191005,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_183256,c_186606]) ).
tcf(c_191006,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183256,c_178480]) ).
tcf(c_191007,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183256,c_168422]) ).
tcf(c_191014,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_191004,c_174072]) ).
tcf(c_191116,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_8223,c_180726]) ).
tcf(c_191117,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_191116,c_8225]) ).
tcf(c_191118,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_191117,c_8253]) ).
tcf(c_191127,plain,
( r2_hidden(sK19(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_169170]) ).
tcf(c_191128,plain,
( r2_hidden(sK19(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_169170]) ).
tcf(c_191129,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_169170,c_151]) ).
tcf(c_191130,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_169170,c_60]) ).
tcf(c_191133,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_169170,c_8246]) ).
tcf(c_191134,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_169170,c_8233]) ).
tcf(c_191135,plain,
( r2_hidden(sK19(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_191128,c_8212]) ).
tcf(c_191136,plain,
( r2_hidden(sK19(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_191127,c_8214]) ).
tcf(c_191196,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_183265,c_170897]) ).
tcf(c_191197,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_183265,c_186605]) ).
tcf(c_191198,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183265,c_178479]) ).
tcf(c_191199,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183265,c_168421]) ).
tcf(c_191206,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_191196,c_170458,c_8255]) ).
tcf(c_191215,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_183402,c_170897]) ).
tcf(c_191216,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183402,c_186605]) ).
tcf(c_191217,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183402,c_178479]) ).
tcf(c_191218,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_183402,c_168421]) ).
tcf(c_191225,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_191215,c_170458,c_8255,c_177230]) ).
tcf(c_191243,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_183406,c_170897]) ).
tcf(c_191244,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_183406,c_186607]) ).
tcf(c_191245,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183406,c_178481]) ).
tcf(c_191246,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_183406,c_168423]) ).
tcf(c_191253,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_191243,c_177230]) ).
tcf(c_191347,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_183554,c_170897]) ).
tcf(c_191348,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183554,c_186606]) ).
tcf(c_191349,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183554,c_178480]) ).
tcf(c_191350,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183554,c_168422]) ).
tcf(c_191357,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_191347,c_174072]) ).
tcf(c_191424,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_8223,c_181546]) ).
tcf(c_191425,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_191424,c_8225]) ).
tcf(c_191426,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_191425,c_8253]) ).
tcf(c_191453,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_168266,c_175838]) ).
tcf(c_191455,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_170634,c_175838]) ).
tcf(c_191456,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_170628,c_175838]) ).
tcf(c_191457,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_171942,c_175838]) ).
tcf(c_191458,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_175352,c_175838]) ).
tcf(c_191511,plain,
( r2_hidden(sK25(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_169201]) ).
tcf(c_191512,plain,
( r2_hidden(sK25(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_169201]) ).
tcf(c_191513,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_169201,c_151]) ).
tcf(c_191514,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_169201,c_60]) ).
tcf(c_191517,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_169201,c_8246]) ).
tcf(c_191518,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_169201,c_8233]) ).
tcf(c_191519,plain,
( r2_hidden(sK25(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_191512,c_8212]) ).
tcf(c_191520,plain,
( r2_hidden(sK25(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_191511,c_8214]) ).
tcf(c_191570,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_184385,c_151]) ).
tcf(c_191571,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_21,X0)
| ~ r2_hidden(X0,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184385,c_60]) ).
tcf(c_191573,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(sK12(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_184385,c_293]) ).
tcf(c_191574,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_184385,c_8246]) ).
tcf(c_191575,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_184385,c_8233]) ).
tcf(c_191576,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_184385,c_8245]) ).
tcf(c_191577,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_184385,c_8232]) ).
tcf(c_191578,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_184385,c_168239]) ).
tcf(c_191579,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_184385,c_168240]) ).
tcf(c_191580,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_184385,c_168265]) ).
tcf(c_191581,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_184385,c_169314]) ).
tcf(c_191583,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_184385,c_181361]) ).
tcf(c_191584,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_184385,c_172930]) ).
tcf(c_191586,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_184385,c_179337]) ).
tcf(c_191591,plain,
( ~ r1_tarski(iPr_def_21,sK17(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184385,c_180305]) ).
tcf(c_191592,plain,
( ~ r1_tarski(iPr_def_21,sK19(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184385,c_180432]) ).
tcf(c_191593,plain,
( ~ r1_tarski(iPr_def_21,sK25(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184385,c_180667]) ).
tcf(c_191594,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_184385,c_180717]) ).
tcf(c_191596,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_184385,c_181537]) ).
tcf(c_191615,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_191584,c_190]) ).
tcf(c_191623,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_191579,c_184330]) ).
tcf(c_191767,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_184433,c_151]) ).
tcf(c_191768,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184433,c_60]) ).
tcf(c_191770,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(sK12(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_184433,c_293]) ).
tcf(c_191771,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_184433,c_8246]) ).
tcf(c_191772,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_184433,c_8233]) ).
tcf(c_191773,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_184433,c_8245]) ).
tcf(c_191774,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_184433,c_8232]) ).
tcf(c_191775,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_184433,c_168239]) ).
tcf(c_191776,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_184433,c_168240]) ).
tcf(c_191777,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_184433,c_168265]) ).
tcf(c_191778,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_184433,c_169314]) ).
tcf(c_191779,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_184433,c_181445]) ).
tcf(c_191781,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_184433,c_172930]) ).
tcf(c_191782,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_184433,c_179238]) ).
tcf(c_191785,plain,
( ~ r1_tarski(iPr_def_19,sK17(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184433,c_180060]) ).
tcf(c_191786,plain,
( ~ r1_tarski(iPr_def_19,sK19(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184433,c_180140]) ).
tcf(c_191787,plain,
( ~ r1_tarski(iPr_def_19,sK25(sK2))
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184433,c_180237]) ).
tcf(c_191791,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_184433,c_180717]) ).
tcf(c_191792,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_184433,c_181219]) ).
tcf(c_191793,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_184433,c_181537]) ).
tcf(c_191812,plain,
~ r1_tarski(iPr_def_19,sK12(k1_tarski(sK12(iPr_def_18)))),
inference(forward_subsumption_resolution,[status(thm)],[c_191781,c_190]) ).
tcf(c_191823,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_191775,c_184383]) ).
tcf(c_192057,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_183567,c_170897]) ).
tcf(c_192058,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_183567,c_186607]) ).
tcf(c_192059,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183567,c_178481]) ).
tcf(c_192060,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183567,c_168423]) ).
tcf(c_192077,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_183684,c_170897]) ).
tcf(c_192078,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_183684,c_186605]) ).
tcf(c_192079,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183684,c_178479]) ).
tcf(c_192080,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_19)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183684,c_168421]) ).
tcf(c_192087,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_192077,c_170458,c_8255,c_172]) ).
tcf(c_192119,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_191455,c_34020,c_113298]) ).
tcf(c_192131,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_192119,c_151]) ).
tcf(c_192132,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_192119,c_60]) ).
tcf(c_192133,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_192119,c_304]) ).
tcf(c_192134,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_192119,c_293]) ).
tcf(c_192135,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_192119,c_8246]) ).
tcf(c_192136,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_192119,c_8233]) ).
tcf(c_192197,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_168266,c_175899]) ).
tcf(c_192199,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_170634,c_175899]) ).
tcf(c_192200,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_170628,c_175899]) ).
tcf(c_192201,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_171942,c_175899]) ).
tcf(c_192202,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_175352,c_175899]) ).
tcf(c_192238,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_192199,c_33890,c_113281]) ).
tcf(c_192250,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_192238,c_151]) ).
tcf(c_192251,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_192238,c_60]) ).
tcf(c_192252,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_192238,c_304]) ).
tcf(c_192253,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_192238,c_293]) ).
tcf(c_192254,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_192238,c_8246]) ).
tcf(c_192255,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_192238,c_8233]) ).
tcf(c_192314,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_168266,c_175942]) ).
tcf(c_192316,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_170634,c_175942]) ).
tcf(c_192317,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_170628,c_175942]) ).
tcf(c_192318,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_171942,c_175942]) ).
tcf(c_192319,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_175352,c_175942]) ).
tcf(c_192398,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK22(sK2)) ),
inference(superposition,[status(thm)],[c_8213,c_184211]) ).
tcf(c_192399,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK22(sK3)) ),
inference(superposition,[status(thm)],[c_8211,c_184211]) ).
tcf(c_192400,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK2)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_173329,c_184211]) ).
tcf(c_192401,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK3)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_178091,c_184211]) ).
tcf(c_192402,plain,
( ~ l1_pre_topc(sK8)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK8)),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_178090,c_184211]) ).
tcf(c_192403,plain,
( ~ l1_pre_topc(sK10(sK2))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK2))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_186295,c_184211]) ).
tcf(c_192404,plain,
( ~ l1_pre_topc(sK14(sK2))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK2))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_186259,c_184211]) ).
tcf(c_192405,plain,
( ~ l1_pre_topc(sK14(sK8))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK8))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_186260,c_184211]) ).
tcf(c_192406,plain,
( ~ l1_pre_topc(sK14(sK3))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK14(sK3))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_186261,c_184211]) ).
tcf(c_192407,plain,
( ~ l1_pre_topc(sK10(sK8))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK8))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_186296,c_184211]) ).
tcf(c_192408,plain,
( ~ l1_pre_topc(sK10(sK3))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK10(sK3))),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_186297,c_184211]) ).
tcf(c_192409,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_192401,c_8211,c_8212]) ).
tcf(c_192410,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_192400,c_8213,c_8214]) ).
tcf(c_192418,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_184528,c_300]) ).
tcf(c_192419,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_184528,c_157]) ).
tcf(c_192420,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_184528,c_154]) ).
tcf(c_192421,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_184528,c_153]) ).
tcf(c_192422,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_184528,c_156]) ).
tcf(c_192423,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_184528,c_6730]) ).
tcf(c_192424,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_184528,c_169792]) ).
tcf(c_192425,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_184528,c_168447]) ).
tcf(c_192426,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_184528,c_169483]) ).
tcf(c_192427,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_184528,c_170130]) ).
tcf(c_192428,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_184528,c_167885]) ).
tcf(c_192429,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_184528,c_170212]) ).
tcf(c_192430,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_184528,c_169784]) ).
tcf(c_192431,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_184528,c_169475]) ).
tcf(c_192432,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_184528,c_167838]) ).
tcf(c_192433,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_184528,c_169848]) ).
tcf(c_192434,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_184528,c_169546]) ).
tcf(c_192435,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_184528,c_168446]) ).
tcf(c_192436,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_184528,c_170125]) ).
tcf(c_192437,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_184528,c_169840]) ).
tcf(c_192438,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_184528,c_169538]) ).
tcf(c_192551,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_184618,c_300]) ).
tcf(c_192552,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_184618,c_157]) ).
tcf(c_192553,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_184618,c_154]) ).
tcf(c_192554,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_184618,c_153]) ).
tcf(c_192555,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_184618,c_156]) ).
tcf(c_192556,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_184618,c_6730]) ).
tcf(c_192557,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_184618,c_169792]) ).
tcf(c_192558,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_184618,c_168447]) ).
tcf(c_192559,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_184618,c_169483]) ).
tcf(c_192560,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_184618,c_170130]) ).
tcf(c_192561,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_184618,c_167885]) ).
tcf(c_192562,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_184618,c_170212]) ).
tcf(c_192563,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_184618,c_169784]) ).
tcf(c_192564,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_184618,c_169475]) ).
tcf(c_192565,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_184618,c_167838]) ).
tcf(c_192566,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_184618,c_169848]) ).
tcf(c_192567,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_184618,c_169546]) ).
tcf(c_192568,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_184618,c_168446]) ).
tcf(c_192569,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_184618,c_170125]) ).
tcf(c_192570,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_184618,c_169840]) ).
tcf(c_192571,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_184618,c_169538]) ).
tcf(c_192817,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_184728,c_300]) ).
tcf(c_192818,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_184728,c_157]) ).
tcf(c_192819,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_184728,c_154]) ).
tcf(c_192820,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_184728,c_153]) ).
tcf(c_192821,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_184728,c_156]) ).
tcf(c_192822,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_184728,c_6730]) ).
tcf(c_192826,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_184728,c_170130]) ).
tcf(c_192828,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_184728,c_170212]) ).
tcf(c_192829,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_184728,c_169784]) ).
tcf(c_192830,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_184728,c_169475]) ).
tcf(c_192831,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_184728,c_167838]) ).
tcf(c_192832,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_184728,c_169848]) ).
tcf(c_192833,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_184728,c_169546]) ).
tcf(c_192834,plain,
( r1_tarski(u1_struct_0(sK10(sK2)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_184728,c_168446]) ).
tcf(c_192835,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_184728,c_170125]) ).
tcf(c_192836,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_184728,c_169840]) ).
tcf(c_192837,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_184728,c_169538]) ).
tcf(c_192838,plain,
( r1_tarski(u1_struct_0(sK10(sK2)),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_184728,c_168448]) ).
tcf(c_192839,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_184728,c_186163]) ).
tcf(c_192840,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_184728,c_174627]) ).
tcf(c_192841,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_184728,c_168788]) ).
tcf(c_192970,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_185043,c_300]) ).
tcf(c_192971,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_185043,c_157]) ).
tcf(c_192972,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_185043,c_154]) ).
tcf(c_192973,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_185043,c_153]) ).
tcf(c_192974,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_185043,c_156]) ).
tcf(c_192975,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_185043,c_6730]) ).
tcf(c_192979,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_185043,c_170130]) ).
tcf(c_192981,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_185043,c_170212]) ).
tcf(c_192982,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_185043,c_169784]) ).
tcf(c_192983,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_185043,c_169475]) ).
tcf(c_192984,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_185043,c_167838]) ).
tcf(c_192985,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_185043,c_169848]) ).
tcf(c_192986,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_185043,c_169546]) ).
tcf(c_192987,plain,
( r1_tarski(u1_struct_0(sK14(sK2)),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_185043,c_168446]) ).
tcf(c_192988,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_185043,c_170125]) ).
tcf(c_192989,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_185043,c_169840]) ).
tcf(c_192990,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_185043,c_169538]) ).
tcf(c_192991,plain,
( r1_tarski(u1_struct_0(sK14(sK2)),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_185043,c_168448]) ).
tcf(c_192992,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_185043,c_186204]) ).
tcf(c_192993,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_185043,c_174655]) ).
tcf(c_192994,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_185043,c_168965]) ).
tcf(c_193184,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_183688,c_170897]) ).
tcf(c_193185,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_183688,c_186607]) ).
tcf(c_193186,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183688,c_178481]) ).
tcf(c_193187,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_29)
| ~ r1_tarski(iPr_def_21,iPr_def_29) ),
inference(superposition,[status(thm)],[c_183688,c_168423]) ).
tcf(c_193194,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_193184,c_172]) ).
tcf(c_193204,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_183836,c_170897]) ).
tcf(c_193205,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_183836,c_186606]) ).
tcf(c_193206,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183836,c_178480]) ).
tcf(c_193207,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_21)
| ~ r1_tarski(iPr_def_29,iPr_def_21) ),
inference(superposition,[status(thm)],[c_183836,c_168422]) ).
tcf(c_193214,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_193204,c_174072]) ).
tcf(c_193238,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_183845,c_170897]) ).
tcf(c_193239,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r2_hidden(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_183845,c_186605]) ).
tcf(c_193240,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183845,c_178479]) ).
tcf(c_193241,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_19)
| ~ r1_tarski(iPr_def_29,iPr_def_19) ),
inference(superposition,[status(thm)],[c_183845,c_168421]) ).
tcf(c_193248,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_193238,c_170458,c_8255]) ).
tcf(c_193275,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_192316,c_34758,c_112813]) ).
tcf(c_193287,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_193275,c_151]) ).
tcf(c_193288,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_193275,c_60]) ).
tcf(c_193289,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_193275,c_304]) ).
tcf(c_193290,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_193275,c_293]) ).
tcf(c_193291,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_193275,c_8246]) ).
tcf(c_193292,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_193275,c_8233]) ).
tcf(c_193379,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_168266,c_176623]) ).
tcf(c_193381,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_170634,c_176623]) ).
tcf(c_193382,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_170628,c_176623]) ).
tcf(c_193383,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_171942,c_176623]) ).
tcf(c_193384,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_175352,c_176623]) ).
tcf(c_193421,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_193381,c_33890,c_112297]) ).
tcf(c_193433,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_193421,c_151]) ).
tcf(c_193434,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_193421,c_60]) ).
tcf(c_193436,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_193421,c_293]) ).
tcf(c_193437,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_193421,c_8246]) ).
tcf(c_193438,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_193421,c_8233]) ).
tcf(c_193500,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_8213,c_187422]) ).
tcf(c_193501,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_8211,c_187422]) ).
tcf(c_193502,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK10(sK3))) ),
inference(light_normalisation,[status(thm)],[c_193501,c_8212]) ).
tcf(c_193503,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK10(sK2))) ),
inference(light_normalisation,[status(thm)],[c_193500,c_8214]) ).
tcf(c_193509,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_185128,c_300]) ).
tcf(c_193510,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_185128,c_157]) ).
tcf(c_193511,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_185128,c_154]) ).
tcf(c_193512,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_185128,c_153]) ).
tcf(c_193513,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_185128,c_156]) ).
tcf(c_193514,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_185128,c_6730]) ).
tcf(c_193515,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_185128,c_169792]) ).
tcf(c_193516,plain,
( r1_tarski(u1_struct_0(sK10(sK3)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_185128,c_168447]) ).
tcf(c_193517,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_185128,c_169483]) ).
tcf(c_193518,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_185128,c_170130]) ).
tcf(c_193519,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_185128,c_167885]) ).
tcf(c_193520,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_185128,c_170212]) ).
tcf(c_193521,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_185128,c_169784]) ).
tcf(c_193522,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_185128,c_169475]) ).
tcf(c_193523,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_185128,c_167838]) ).
tcf(c_193527,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_185128,c_170125]) ).
tcf(c_193528,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_185128,c_169840]) ).
tcf(c_193529,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_185128,c_169538]) ).
tcf(c_193530,plain,
( r1_tarski(u1_struct_0(sK10(sK3)),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_185128,c_168448]) ).
tcf(c_193716,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_185212,c_300]) ).
tcf(c_193717,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_185212,c_157]) ).
tcf(c_193718,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_185212,c_154]) ).
tcf(c_193719,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_185212,c_153]) ).
tcf(c_193720,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_185212,c_156]) ).
tcf(c_193721,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_185212,c_6730]) ).
tcf(c_193722,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_185212,c_169792]) ).
tcf(c_193723,plain,
( r1_tarski(u1_struct_0(sK14(sK3)),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_185212,c_168447]) ).
tcf(c_193724,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_185212,c_169483]) ).
tcf(c_193725,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_185212,c_170130]) ).
tcf(c_193726,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_185212,c_167885]) ).
tcf(c_193727,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_185212,c_170212]) ).
tcf(c_193728,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_185212,c_169784]) ).
tcf(c_193729,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_185212,c_169475]) ).
tcf(c_193730,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_185212,c_167838]) ).
tcf(c_193734,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_185212,c_170125]) ).
tcf(c_193735,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_185212,c_169840]) ).
tcf(c_193736,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_185212,c_169538]) ).
tcf(c_193737,plain,
( r1_tarski(u1_struct_0(sK14(sK3)),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_185212,c_168448]) ).
tcf(c_194002,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_187662,c_300]) ).
tcf(c_194003,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_187662,c_157]) ).
tcf(c_194004,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_187662,c_154]) ).
tcf(c_194005,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_187662,c_153]) ).
tcf(c_194006,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_187662,c_156]) ).
tcf(c_194007,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_187662,c_6730]) ).
tcf(c_194008,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_187662,c_169792]) ).
tcf(c_194009,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_187662,c_168447]) ).
tcf(c_194010,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_187662,c_169483]) ).
tcf(c_194011,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_187662,c_170130]) ).
tcf(c_194012,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_187662,c_167885]) ).
tcf(c_194013,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_187662,c_170212]) ).
tcf(c_194014,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_187662,c_169784]) ).
tcf(c_194015,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_187662,c_169475]) ).
tcf(c_194016,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_187662,c_167838]) ).
tcf(c_194020,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_187662,c_170125]) ).
tcf(c_194021,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_187662,c_169840]) ).
tcf(c_194022,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_187662,c_169538]) ).
tcf(c_194023,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ( k2_tex_4(sK3,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) = k2_tex_4(sK3,iPr_def_30) )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(iPr_def_30,iPr_def_18) ),
inference(superposition,[status(thm)],[c_187662,c_167867]) ).
tcf(c_194024,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_187662,c_168448]) ).
tcf(c_194054,plain,
( v1_tsp_1(k2_tex_4(sK3,iPr_def_30),sK2)
| ( k2_tex_4(sK3,sK5(sK2,k2_tex_4(sK3,iPr_def_30))) = k2_tex_4(sK3,iPr_def_30) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194023,c_168476]) ).
tcf(c_194181,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_189277,c_300]) ).
tcf(c_194182,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_189277,c_157]) ).
tcf(c_194183,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_189277,c_154]) ).
tcf(c_194184,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_189277,c_153]) ).
tcf(c_194185,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_189277,c_156]) ).
tcf(c_194186,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_189277,c_6730]) ).
tcf(c_194190,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_189277,c_170130]) ).
tcf(c_194192,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_189277,c_170212]) ).
tcf(c_194193,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_189277,c_169784]) ).
tcf(c_194194,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_189277,c_169475]) ).
tcf(c_194195,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_189277,c_167838]) ).
tcf(c_194196,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_189277,c_169848]) ).
tcf(c_194197,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_189277,c_169546]) ).
tcf(c_194198,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_189277,c_168446]) ).
tcf(c_194199,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_189277,c_170125]) ).
tcf(c_194200,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_189277,c_169840]) ).
tcf(c_194201,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_189277,c_169538]) ).
tcf(c_194202,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_189277,c_167818]) ).
tcf(c_194203,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_189277,c_168448]) ).
tcf(c_194233,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_194202,c_176018]) ).
tcf(c_194348,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_168266,c_176662]) ).
tcf(c_194350,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_170634,c_176662]) ).
tcf(c_194351,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_170628,c_176662]) ).
tcf(c_194352,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_171942,c_176662]) ).
tcf(c_194353,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_175352,c_176662]) ).
tcf(c_194382,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_194350,c_34020,c_112724]) ).
tcf(c_194394,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_194382,c_151]) ).
tcf(c_194395,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_194382,c_60]) ).
tcf(c_194397,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_194382,c_293]) ).
tcf(c_194398,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_194382,c_8246]) ).
tcf(c_194399,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_194382,c_8233]) ).
tcf(c_194449,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_168266,c_176701]) ).
tcf(c_194451,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_170634,c_176701]) ).
tcf(c_194452,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_170628,c_176701]) ).
tcf(c_194453,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_171942,c_176701]) ).
tcf(c_194454,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_175352,c_176701]) ).
tcf(c_194573,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_194451,c_33890,c_112751]) ).
tcf(c_194585,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_194573,c_151]) ).
tcf(c_194586,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_194573,c_60]) ).
tcf(c_194588,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_194573,c_293]) ).
tcf(c_194589,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_194573,c_8246]) ).
tcf(c_194590,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_194573,c_8233]) ).
tcf(c_194654,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_191573,c_300]) ).
tcf(c_194655,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_191573,c_157]) ).
tcf(c_194656,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_191573,c_154]) ).
tcf(c_194657,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_191573,c_153]) ).
tcf(c_194658,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_191573,c_156]) ).
tcf(c_194659,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_191573,c_6730]) ).
tcf(c_194663,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_191573,c_170130]) ).
tcf(c_194665,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_191573,c_170212]) ).
tcf(c_194666,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_191573,c_169784]) ).
tcf(c_194667,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_191573,c_169475]) ).
tcf(c_194668,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_191573,c_167838]) ).
tcf(c_194669,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_191573,c_169848]) ).
tcf(c_194670,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_191573,c_169546]) ).
tcf(c_194671,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_191573,c_168446]) ).
tcf(c_194672,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_191573,c_170125]) ).
tcf(c_194673,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_191573,c_169840]) ).
tcf(c_194674,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_191573,c_169538]) ).
tcf(c_194675,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_191573,c_168448]) ).
tcf(c_194816,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_191770,c_300]) ).
tcf(c_194817,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_191770,c_157]) ).
tcf(c_194818,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_191770,c_154]) ).
tcf(c_194819,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_191770,c_153]) ).
tcf(c_194820,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_191770,c_156]) ).
tcf(c_194821,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_191770,c_6730]) ).
tcf(c_194822,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_191770,c_169792]) ).
tcf(c_194823,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_191770,c_168447]) ).
tcf(c_194824,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_191770,c_169483]) ).
tcf(c_194825,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_191770,c_170130]) ).
tcf(c_194826,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_191770,c_167885]) ).
tcf(c_194827,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_191770,c_170212]) ).
tcf(c_194828,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_191770,c_169784]) ).
tcf(c_194829,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_191770,c_169475]) ).
tcf(c_194830,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_191770,c_167838]) ).
tcf(c_194834,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_191770,c_170125]) ).
tcf(c_194835,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_191770,c_169840]) ).
tcf(c_194836,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_191770,c_169538]) ).
tcf(c_194837,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_191770,c_168448]) ).
tcf(c_195047,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_168266,c_176742]) ).
tcf(c_195049,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_170634,c_176742]) ).
tcf(c_195050,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_170628,c_176742]) ).
tcf(c_195051,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_171942,c_176742]) ).
tcf(c_195052,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_175352,c_176742]) ).
tcf(c_195081,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_195049,c_34758,c_112786]) ).
tcf(c_195093,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_195081,c_151]) ).
tcf(c_195094,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_195081,c_60]) ).
tcf(c_195096,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_195081,c_293]) ).
tcf(c_195097,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_195081,c_8246]) ).
tcf(c_195098,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_195081,c_8233]) ).
tcf(c_195188,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_168266,c_176963]) ).
tcf(c_195190,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_170634,c_176963]) ).
tcf(c_195191,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_170628,c_176963]) ).
tcf(c_195192,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_171942,c_176963]) ).
tcf(c_195193,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_175352,c_176963]) ).
tcf(c_195222,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_195190,c_34020,c_113315]) ).
tcf(c_195234,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_195222,c_151]) ).
tcf(c_195235,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_195222,c_60]) ).
tcf(c_195237,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_195222,c_293]) ).
tcf(c_195238,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_195222,c_8246]) ).
tcf(c_195239,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_195222,c_8233]) ).
tcf(c_195306,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_169791,c_175338]) ).
tcf(c_195307,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_169791,c_175669]) ).
tcf(c_195308,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_169791,c_168649]) ).
tcf(c_195309,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_169791,c_172211]) ).
tcf(c_195310,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_169791,c_172174]) ).
tcf(c_195311,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_169791,c_171650]) ).
tcf(c_195312,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_169791,c_171633]) ).
tcf(c_195313,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_169791,c_171608]) ).
tcf(c_195314,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_169791,c_170440]) ).
tcf(c_195315,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_169791,c_169318]) ).
tcf(c_195316,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_169791,c_169317]) ).
tcf(c_195317,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_169791,c_169655]) ).
tcf(c_195318,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_169791,c_169639]) ).
tcf(c_195319,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_169791,c_169322]) ).
tcf(c_195320,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_169791,c_169321]) ).
tcf(c_195321,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_169791,c_169423]) ).
tcf(c_195322,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_169791,c_169313]) ).
tcf(c_195323,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_169791,c_169315]) ).
tcf(c_195324,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_169791,c_168241]) ).
tcf(c_195325,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_169791,c_168221]) ).
tcf(c_195326,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_169791,c_168084]) ).
tcf(c_195327,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_169791,c_168120]) ).
tcf(c_195328,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_169791,c_167694]) ).
tcf(c_195329,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_169791,c_167670]) ).
tcf(c_195330,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_169791,c_8262]) ).
tcf(c_195331,plain,
~ v1_xboole_0(k2_tex_4(sK2,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_195327,c_172]) ).
tcf(c_195332,plain,
m1_subset_1(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_195325,c_172]) ).
tcf(c_195333,plain,
r2_hidden(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_195308,c_172]) ).
tcf(c_195334,plain,
r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_195306,c_172]) ).
tcf(c_195335,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_195307,c_172]) ).
tcf(c_195336,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_195323,c_172]) ).
tcf(c_195339,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_195330,c_170219]) ).
tcf(c_195340,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_195339,c_172]) ).
tcf(c_195341,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_195326,c_170219]) ).
tcf(c_195342,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_195341,c_172]) ).
tcf(c_195343,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_195324,c_170219]) ).
tcf(c_195344,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_195343,c_172]) ).
tcf(c_195345,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_195314,c_169791]) ).
tcf(c_195346,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_195345,c_172]) ).
tcf(c_195349,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_195322,c_170219]) ).
tcf(c_195350,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_195349,c_172]) ).
tcf(c_195354,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_195313,c_169791]) ).
tcf(c_195355,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_195354,c_172]) ).
tcf(c_195359,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_195321,c_170219]) ).
tcf(c_195360,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_195359,c_172]) ).
tcf(c_195364,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_195318,c_170219]) ).
tcf(c_195365,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_195364,c_172]) ).
tcf(c_195369,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_195317,c_170219]) ).
tcf(c_195370,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_195369,c_172]) ).
tcf(c_195374,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_195312,c_169791,c_170219]) ).
tcf(c_195375,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_195374,c_172]) ).
tcf(c_195380,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_195329,c_169791,c_170219]) ).
tcf(c_195381,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_195380,c_172]) ).
tcf(c_195384,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_195320,c_170219]) ).
tcf(c_195385,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_195384,c_172]) ).
tcf(c_195389,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_195319,c_170219]) ).
tcf(c_195390,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_195389,c_172]) ).
tcf(c_195394,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_195316,c_170219]) ).
tcf(c_195395,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_195394,c_172]) ).
tcf(c_195400,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_195315,c_170219]) ).
tcf(c_195401,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_195400,c_172]) ).
tcf(c_195406,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_195328,c_169791,c_170219]) ).
tcf(c_195407,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_195406,c_172]) ).
tcf(c_195411,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_195310,c_169791,c_170219]) ).
tcf(c_195412,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_195411,c_172]) ).
tcf(c_195416,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_195311,c_169791,c_170219]) ).
tcf(c_195417,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_195416,c_172]) ).
tcf(c_195424,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_195309,c_169791,c_170219]) ).
tcf(c_195425,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_195424,c_172]) ).
tcf(c_195659,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_195332,c_169792]) ).
tcf(c_195661,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_195332,c_169483]) ).
tcf(c_195663,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_195332,c_167885]) ).
tcf(c_195681,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_195333,c_151]) ).
tcf(c_195685,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_195333,c_8246]) ).
tcf(c_195686,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_195333,c_8233]) ).
tcf(c_195718,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_195334,c_170897]) ).
tcf(c_195722,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_195718,c_174072,c_195332]) ).
tcf(c_195726,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_195340,c_151]) ).
tcf(c_195732,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_195340,c_8232]) ).
tcf(c_195735,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_195732,c_172]) ).
tcf(c_195754,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_168266,c_177002]) ).
tcf(c_195756,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_170634,c_177002]) ).
tcf(c_195757,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_170628,c_177002]) ).
tcf(c_195758,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_171942,c_177002]) ).
tcf(c_195759,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_175352,c_177002]) ).
tcf(c_195798,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_195756,c_33890,c_113332]) ).
tcf(c_195810,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_195798,c_151]) ).
tcf(c_195811,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_195798,c_60]) ).
tcf(c_195813,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_195798,c_293]) ).
tcf(c_195814,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_195798,c_8246]) ).
tcf(c_195815,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_195798,c_8233]) ).
tcf(c_195940,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_168266,c_177041]) ).
tcf(c_195942,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_170634,c_177041]) ).
tcf(c_195943,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_170628,c_177041]) ).
tcf(c_195944,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_171942,c_177041]) ).
tcf(c_195945,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_175352,c_177041]) ).
tcf(c_195974,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_195942,c_33890,c_113349]) ).
tcf(c_195986,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_195974,c_151]) ).
tcf(c_195987,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_195974,c_60]) ).
tcf(c_195989,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_195974,c_293]) ).
tcf(c_195990,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_195974,c_8246]) ).
tcf(c_195991,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_195974,c_8233]) ).
tcf(c_196047,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_169847,c_175079]) ).
tcf(c_196048,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_169847,c_177619]) ).
tcf(c_196049,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_169847,c_169768]) ).
tcf(c_196050,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_169847,c_169760]) ).
tcf(c_196051,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_169847,c_168892]) ).
tcf(c_196052,plain,
~ v1_xboole_0(k2_tex_4(sK3,sK12(iPr_def_18))),
inference(forward_subsumption_resolution,[status(thm)],[c_196051,c_172]) ).
tcf(c_196053,plain,
m1_subset_1(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_196050,c_172]) ).
tcf(c_196054,plain,
r2_hidden(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_196049,c_172]) ).
tcf(c_196055,plain,
r1_tarski(k2_tex_4(sK3,sK12(iPr_def_18)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_196047,c_172]) ).
tcf(c_196056,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,sK12(iPr_def_18))),
inference(forward_subsumption_resolution,[status(thm)],[c_196048,c_172]) ).
tcf(c_196058,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_196053,c_169848]) ).
tcf(c_196059,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_196053,c_169546]) ).
tcf(c_196061,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_196053,c_170125]) ).
tcf(c_196074,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_196054,c_151]) ).
tcf(c_196078,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_196054,c_8246]) ).
tcf(c_196079,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_196054,c_8233]) ).
tcf(c_196088,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_196055,c_170897]) ).
tcf(c_196092,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_196088,c_170458,c_8255]) ).
tcf(c_196106,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_168266,c_177244]) ).
tcf(c_196108,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_170634,c_177244]) ).
tcf(c_196109,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_170628,c_177244]) ).
tcf(c_196110,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_171942,c_177244]) ).
tcf(c_196111,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_175352,c_177244]) ).
tcf(c_196158,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_196108,c_33890,c_113366]) ).
tcf(c_196170,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_196158,c_151]) ).
tcf(c_196171,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_196158,c_60]) ).
tcf(c_196173,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_196158,c_293]) ).
tcf(c_196174,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_196158,c_8246]) ).
tcf(c_196175,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_196158,c_8233]) ).
tcf(c_196232,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_168266,c_177283]) ).
tcf(c_196234,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_170634,c_177283]) ).
tcf(c_196235,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_170628,c_177283]) ).
tcf(c_196236,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_171942,c_177283]) ).
tcf(c_196237,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_175352,c_177283]) ).
tcf(c_196266,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_196234,c_34020,c_113383]) ).
tcf(c_196278,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_196266,c_151]) ).
tcf(c_196279,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_196266,c_60]) ).
tcf(c_196281,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_196266,c_293]) ).
tcf(c_196282,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_196266,c_8246]) ).
tcf(c_196283,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_196266,c_8233]) ).
tcf(c_196374,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_168266,c_177471]) ).
tcf(c_196376,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_170634,c_177471]) ).
tcf(c_196377,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_170628,c_177471]) ).
tcf(c_196378,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_171942,c_177471]) ).
tcf(c_196379,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_175352,c_177471]) ).
tcf(c_196422,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_196376,c_34020,c_113400]) ).
tcf(c_196434,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_196422,c_151]) ).
tcf(c_196435,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_196422,c_60]) ).
tcf(c_196437,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_196422,c_293]) ).
tcf(c_196438,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_196422,c_8246]) ).
tcf(c_196439,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_196422,c_8233]) ).
tcf(c_196475,plain,
! [X0: $i] :
( r2_hidden(sK23(sK20),X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(superposition,[status(thm)],[c_168266,c_171292]) ).
tcf(c_196477,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_170634,c_171292]) ).
tcf(c_196478,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_170628,c_171292]) ).
tcf(c_196493,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_172929,c_151]) ).
tcf(c_196494,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,sK12(X1)) ),
inference(superposition,[status(thm)],[c_172929,c_60]) ).
tcf(c_196495,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_172929,c_304]) ).
tcf(c_196496,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK12(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_172929,c_293]) ).
tcf(c_196497,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_172929,c_8246]) ).
tcf(c_196498,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_172929,c_8233]) ).
tcf(c_196499,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_172929,c_8245]) ).
tcf(c_196500,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_172929,c_8232]) ).
tcf(c_196501,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_172929,c_168239]) ).
tcf(c_196502,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_172929,c_168240]) ).
tcf(c_196503,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_172929,c_168265]) ).
tcf(c_196504,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_172929,c_169314]) ).
tcf(c_196505,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_172929,c_181445]) ).
tcf(c_196506,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_172929,c_181361]) ).
tcf(c_196507,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK12(X0))
| ~ r1_tarski(X0,sK12(sK12(X0))) ),
inference(superposition,[status(thm)],[c_172929,c_172930]) ).
tcf(c_196508,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_172929,c_179238]) ).
tcf(c_196509,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_172929,c_179337]) ).
tcf(c_196511,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_172929,c_180060]) ).
tcf(c_196512,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_172929,c_180140]) ).
tcf(c_196513,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK12(X0))
| ~ r1_tarski(X0,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_172929,c_180237]) ).
tcf(c_196514,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_172929,c_180305]) ).
tcf(c_196515,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_172929,c_180432]) ).
tcf(c_196516,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_172929,c_180667]) ).
tcf(c_196517,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_172929,c_180717]) ).
tcf(c_196518,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_172929,c_181219]) ).
tcf(c_196519,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_172929,c_181537]) ).
tcf(c_196758,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK11(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_168438,c_196495]) ).
tcf(c_196759,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK13(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_168439,c_196495]) ).
tcf(c_196760,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_168537,c_196495]) ).
tcf(c_196761,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_168859,c_196495]) ).
tcf(c_196763,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_168389,c_196495]) ).
tcf(c_196764,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_168397,c_196495]) ).
tcf(c_196765,plain,
! [X0: $i] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168435,c_196495]) ).
tcf(c_196767,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_186159,c_196495]) ).
tcf(c_196768,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_174623,c_196495]) ).
tcf(c_196769,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_168783,c_196495]) ).
tcf(c_196770,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_186200,c_196495]) ).
tcf(c_196771,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_174651,c_196495]) ).
tcf(c_196772,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_168960,c_196495]) ).
tcf(c_196773,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_169395,c_196495]) ).
tcf(c_196775,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_185810,c_196495]) ).
tcf(c_196776,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_174444,c_196495]) ).
tcf(c_196777,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_169723,c_196495]) ).
tcf(c_196778,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_186095,c_196495]) ).
tcf(c_196779,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_174484,c_196495]) ).
tcf(c_196780,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_169942,c_196495]) ).
tcf(c_196781,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_186121,c_196495]) ).
tcf(c_196782,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_174571,c_196495]) ).
tcf(c_196783,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_169968,c_196495]) ).
tcf(c_196784,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_170634,c_196495]) ).
tcf(c_196785,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_170628,c_196495]) ).
tcf(c_196786,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_168380,c_196495]) ).
tcf(c_196787,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_168375,c_196495]) ).
tcf(c_196788,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_171942,c_196495]) ).
tcf(c_196789,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_168370,c_196495]) ).
tcf(c_196946,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_196789,c_8241]) ).
tcf(c_196951,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_196787,c_8239]) ).
tcf(c_196956,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_196786,c_8237]) ).
tcf(c_197138,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_170634,c_173928]) ).
tcf(c_197139,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_170628,c_173928]) ).
tcf(c_197157,plain,
! [X0: $i,X1: $i] :
( ( sK12(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_196765,c_305]) ).
tcf(c_197158,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(X0)) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_196765,c_303]) ).
tcf(c_197184,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_197138,c_151]) ).
tcf(c_197185,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_197138,c_60]) ).
tcf(c_197186,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_197138,c_304]) ).
tcf(c_197187,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_197138,c_293]) ).
tcf(c_197188,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_197138,c_8246]) ).
tcf(c_197189,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_197138,c_8233]) ).
tcf(c_197190,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_197138,c_149]) ).
tcf(c_197191,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_197138,c_168242]) ).
tcf(c_197192,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_197138,c_168243]) ).
tcf(c_197260,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_196477,c_151]) ).
tcf(c_197261,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_196477,c_60]) ).
tcf(c_197262,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_196477,c_304]) ).
tcf(c_197263,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_196477,c_293]) ).
tcf(c_197264,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_196477,c_8246]) ).
tcf(c_197265,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_196477,c_8233]) ).
tcf(c_197385,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_197187,c_298]) ).
tcf(c_197402,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_168266,c_177714]) ).
tcf(c_197404,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_170634,c_177714]) ).
tcf(c_197405,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_170628,c_177714]) ).
tcf(c_197406,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_171942,c_177714]) ).
tcf(c_197407,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_175352,c_177714]) ).
tcf(c_197436,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_197404,c_34020,c_113735]) ).
tcf(c_197448,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_197436,c_151]) ).
tcf(c_197449,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_197436,c_60]) ).
tcf(c_197451,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_197436,c_293]) ).
tcf(c_197452,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_197436,c_8246]) ).
tcf(c_197453,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_197436,c_8233]) ).
tcf(c_197500,plain,
sK12(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_218,c_197158]) ).
tcf(c_197501,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(X0))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_254,c_197158]) ).
tcf(c_197502,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK12(k1_zfmisc_1(X0)))) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_196765,c_197158]) ).
tcf(c_197507,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_197500,c_172929]) ).
tcf(c_197508,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_197500,c_172930]) ).
tcf(c_197509,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_197500,c_168577]) ).
tcf(c_197510,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)),
inference(superposition,[status(thm)],[c_197500,c_172]) ).
tcf(c_197513,plain,
r1_tarski(k1_xboole_0,k1_xboole_0),
inference(superposition,[status(thm)],[c_197500,c_168435]) ).
tcf(c_197514,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_197507,c_185]) ).
tcf(c_197525,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_170634,c_174198]) ).
tcf(c_197526,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_170628,c_174198]) ).
tcf(c_197545,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_170634,c_174851]) ).
tcf(c_197546,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_170628,c_174851]) ).
tcf(c_197567,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_197525,c_151]) ).
tcf(c_197568,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_197525,c_60]) ).
tcf(c_197569,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_197525,c_304]) ).
tcf(c_197570,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_197525,c_293]) ).
tcf(c_197571,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_197525,c_8246]) ).
tcf(c_197572,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_197525,c_8233]) ).
tcf(c_197573,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_197525,c_149]) ).
tcf(c_197574,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_197525,c_168242]) ).
tcf(c_197575,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_197525,c_168243]) ).
tcf(c_197637,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_197545,c_151]) ).
tcf(c_197638,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_197545,c_60]) ).
tcf(c_197639,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_197545,c_304]) ).
tcf(c_197640,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_197545,c_293]) ).
tcf(c_197641,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_197545,c_8246]) ).
tcf(c_197642,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_197545,c_8233]) ).
tcf(c_197643,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_197545,c_149]) ).
tcf(c_197644,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_197545,c_168242]) ).
tcf(c_197645,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_197545,c_168243]) ).
tcf(c_197756,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_197570,c_298]) ).
tcf(c_197775,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_197640,c_298]) ).
tcf(c_197792,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_168266,c_177769]) ).
tcf(c_197794,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_170634,c_177769]) ).
tcf(c_197795,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_170628,c_177769]) ).
tcf(c_197796,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_171942,c_177769]) ).
tcf(c_197797,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_175352,c_177769]) ).
tcf(c_197841,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_8213,c_190684]) ).
tcf(c_197842,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_8211,c_190684]) ).
tcf(c_197843,plain,
( ~ l1_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,u1_struct_0(sK14(sK3))) ),
inference(light_normalisation,[status(thm)],[c_197842,c_8212]) ).
tcf(c_197844,plain,
( ~ l1_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,u1_struct_0(sK14(sK2))) ),
inference(light_normalisation,[status(thm)],[c_197841,c_8214]) ).
tcf(c_197845,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_176041,c_181546]) ).
tcf(c_197847,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_176041,c_181370]) ).
tcf(c_197849,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_176041,c_180726]) ).
tcf(c_197850,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_176041,c_180676]) ).
tcf(c_197851,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_176041,c_180441]) ).
tcf(c_197852,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_176041,c_180314]) ).
tcf(c_197857,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_176041,c_179346]) ).
tcf(c_197859,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_176041,c_185884]) ).
tcf(c_197860,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_176041,c_176839]) ).
tcf(c_197861,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_176041,c_180601]) ).
tcf(c_197862,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_176041,c_175460]) ).
tcf(c_197863,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_176041,c_175348]) ).
tcf(c_197864,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_176041,c_175075]) ).
tcf(c_197865,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_176041,c_168655]) ).
tcf(c_197866,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_176041,c_174048]) ).
tcf(c_197867,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_176041,c_169395]) ).
tcf(c_197868,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_176041,c_171650]) ).
tcf(c_197869,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_176041,c_170450]) ).
tcf(c_197870,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_176041,c_169322]) ).
tcf(c_197871,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_176041,c_169321]) ).
tcf(c_197872,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_176041,c_169316]) ).
tcf(c_197873,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_176041,c_169062]) ).
tcf(c_197874,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_176041,c_168241]) ).
tcf(c_197875,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_176041,c_168084]) ).
tcf(c_197876,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_176041,c_168060]) ).
tcf(c_197877,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_176041,c_8262]) ).
tcf(c_197878,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_176041,c_169423]) ).
tcf(c_197879,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_176041,c_169314]) ).
tcf(c_197880,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_197876,c_176018]) ).
tcf(c_197881,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_197865,c_176018]) ).
tcf(c_197882,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_197860,c_176018]) ).
tcf(c_197886,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_197859,c_176018]) ).
tcf(c_197889,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_197873,c_176042]) ).
tcf(c_197891,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_197872,c_176042]) ).
tcf(c_197892,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_197891,c_176018]) ).
tcf(c_197895,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_197864,c_176042]) ).
tcf(c_197896,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_197895,c_176018]) ).
tcf(c_197899,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_197863,c_176042]) ).
tcf(c_197900,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_197899,c_176018]) ).
tcf(c_197903,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_197862,c_176042]) ).
tcf(c_197904,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_197903,c_176018]) ).
tcf(c_197907,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_197879,c_176042]) ).
tcf(c_197908,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_197907,c_176018]) ).
tcf(c_197911,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_197867,c_176042]) ).
tcf(c_197912,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_197911,c_176018]) ).
tcf(c_197915,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_197857,c_176042]) ).
tcf(c_197916,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_197915,c_176018]) ).
tcf(c_197923,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_197852,c_176042]) ).
tcf(c_197924,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_197923,c_176018]) ).
tcf(c_197927,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_197851,c_176042]) ).
tcf(c_197928,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_197927,c_176018]) ).
tcf(c_197931,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_197850,c_176042]) ).
tcf(c_197932,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_197931,c_176018]) ).
tcf(c_197935,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_197849,c_176042]) ).
tcf(c_197936,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_197935,c_176018]) ).
tcf(c_197939,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_197847,c_176042]) ).
tcf(c_197940,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_197939,c_176018]) ).
tcf(c_197943,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_197845,c_176042]) ).
tcf(c_197944,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_197943,c_176018]) ).
tcf(c_197947,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_197869,c_176041,c_176042]) ).
tcf(c_197948,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_197947,c_176018]) ).
tcf(c_197958,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_197861,c_176041,c_176042]) ).
tcf(c_197959,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_197958,c_176018]) ).
tcf(c_197966,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_197866,c_176041,c_176042]) ).
tcf(c_197967,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_197966,c_176018]) ).
tcf(c_198087,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_197880,c_169840]) ).
tcf(c_198088,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_197880,c_169538]) ).
tcf(c_198093,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_8212,c_178116]) ).
tcf(c_198094,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_8214,c_178116]) ).
tcf(c_198095,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_8222,c_178116]) ).
tcf(c_198096,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_178116,c_196495]) ).
tcf(c_198097,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_178116,c_170897]) ).
tcf(c_198098,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_178116,c_186605]) ).
tcf(c_198099,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_178116,c_178479]) ).
tcf(c_198100,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_178116,c_168421]) ).
tcf(c_198101,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_178116,c_186606]) ).
tcf(c_198102,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_178116,c_178480]) ).
tcf(c_198103,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_178116,c_168422]) ).
tcf(c_198104,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_178116,c_186607]) ).
tcf(c_198105,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_178116,c_178481]) ).
tcf(c_198106,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_178116,c_168423]) ).
tcf(c_198136,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_169060,c_184526]) ).
tcf(c_198137,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_169061,c_184526]) ).
tcf(c_198138,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_185884,c_184526]) ).
tcf(c_198143,plain,
~ r1_tarski(iPr_def_29,sK13(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_170041,c_184526]) ).
tcf(c_198151,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_171872,c_184526]) ).
tcf(c_198152,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_171888,c_184526]) ).
tcf(c_198153,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_172247,c_184526]) ).
tcf(c_198154,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_172389,c_184526]) ).
tcf(c_198156,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_172929,c_184526]) ).
tcf(c_198161,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_179661,c_184526]) ).
tcf(c_198162,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_181106,c_184526]) ).
tcf(c_198163,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_184385,c_184526]) ).
tcf(c_198164,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_184433,c_184526]) ).
tcf(c_198205,plain,
! [X0: $i] :
( r2_hidden(k1_funct_1(sK4,iPr_def_30),X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_197881,c_151]) ).
tcf(c_198209,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_197881,c_8246]) ).
tcf(c_198210,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_197881,c_8233]) ).
tcf(c_198213,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_198210,c_170458,c_8255]) ).
tcf(c_198214,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_198209,c_198087,c_198088]) ).
tcf(c_198215,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_198214,c_173701]) ).
tcf(c_198254,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_8212,c_198097]) ).
tcf(c_198255,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_8214,c_198097]) ).
tcf(c_198256,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_8222,c_198097]) ).
tcf(c_198262,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_197794,c_33890,c_113752]) ).
tcf(c_198274,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_198262,c_151]) ).
tcf(c_198275,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_198262,c_60]) ).
tcf(c_198277,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_198262,c_293]) ).
tcf(c_198278,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_198262,c_8246]) ).
tcf(c_198279,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_198262,c_8233]) ).
tcf(c_198343,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_168266,c_177808]) ).
tcf(c_198345,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_170634,c_177808]) ).
tcf(c_198346,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_170628,c_177808]) ).
tcf(c_198347,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_171942,c_177808]) ).
tcf(c_198348,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_175352,c_177808]) ).
tcf(c_198385,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_198345,c_34758,c_113769]) ).
tcf(c_198397,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_198385,c_151]) ).
tcf(c_198398,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_198385,c_60]) ).
tcf(c_198400,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_198385,c_293]) ).
tcf(c_198401,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_198385,c_8246]) ).
tcf(c_198402,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_198385,c_8233]) ).
tcf(c_198579,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_168266,c_178261]) ).
tcf(c_198581,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_170634,c_178261]) ).
tcf(c_198582,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_170628,c_178261]) ).
tcf(c_198583,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_171942,c_178261]) ).
tcf(c_198584,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_175352,c_178261]) ).
tcf(c_198613,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_198581,c_33890,c_113786]) ).
tcf(c_198625,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_198613,c_151]) ).
tcf(c_198626,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_198613,c_60]) ).
tcf(c_198628,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_198613,c_293]) ).
tcf(c_198629,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_198613,c_8246]) ).
tcf(c_198630,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_198613,c_8233]) ).
tcf(c_198673,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK17(sK2)) ),
inference(superposition,[status(thm)],[c_8213,c_190868]) ).
tcf(c_198674,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK17(sK3)) ),
inference(superposition,[status(thm)],[c_8211,c_190868]) ).
tcf(c_198675,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK17(sK3)) ),
inference(light_normalisation,[status(thm)],[c_198674,c_8212]) ).
tcf(c_198676,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,sK17(sK2)) ),
inference(light_normalisation,[status(thm)],[c_198673,c_8214]) ).
tcf(c_198681,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_198205,c_151]) ).
tcf(c_198682,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_18,X0)
| ~ r2_hidden(X0,k1_funct_1(sK4,iPr_def_30)) ),
inference(superposition,[status(thm)],[c_198205,c_60]) ).
tcf(c_198683,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_198205,c_304]) ).
tcf(c_198684,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_198205,c_293]) ).
tcf(c_198685,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_198205,c_8246]) ).
tcf(c_198686,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_198205,c_8233]) ).
tcf(c_198687,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_198205,c_8245]) ).
tcf(c_198688,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_198205,c_8232]) ).
tcf(c_198689,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_198205,c_168239]) ).
tcf(c_198690,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_198205,c_168240]) ).
tcf(c_198691,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_198205,c_168265]) ).
tcf(c_198692,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_198205,c_169314]) ).
tcf(c_198694,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_198205,c_181361]) ).
tcf(c_198695,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_198205,c_172930]) ).
tcf(c_198697,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_198205,c_179337]) ).
tcf(c_198702,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_198205,c_180305]) ).
tcf(c_198703,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_198205,c_180432]) ).
tcf(c_198704,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_198205,c_180667]) ).
tcf(c_198705,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_198205,c_180717]) ).
tcf(c_198707,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_198205,c_181537]) ).
tcf(c_198708,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_198205,c_184526]) ).
tcf(c_198753,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_198687,c_197880]) ).
tcf(c_198761,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_198685,c_198087,c_198088]) ).
tcf(c_198798,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_170628,c_198683]) ).
tcf(c_198800,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_198798,c_173701]) ).
tcf(c_198816,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_198684,c_300]) ).
tcf(c_198817,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_198684,c_157]) ).
tcf(c_198818,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_198684,c_154]) ).
tcf(c_198819,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_198684,c_153]) ).
tcf(c_198820,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_198684,c_156]) ).
tcf(c_198821,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_198684,c_6730]) ).
tcf(c_198822,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_198684,c_169792]) ).
tcf(c_198823,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_198684,c_168447]) ).
tcf(c_198824,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_198684,c_169483]) ).
tcf(c_198825,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_198684,c_170130]) ).
tcf(c_198826,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_198684,c_167885]) ).
tcf(c_198827,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_198684,c_170212]) ).
tcf(c_198828,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_198684,c_169784]) ).
tcf(c_198829,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_198684,c_169475]) ).
tcf(c_198830,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_198684,c_167838]) ).
tcf(c_198831,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_198684,c_169848]) ).
tcf(c_198832,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_198684,c_169546]) ).
tcf(c_198833,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_198684,c_168446]) ).
tcf(c_198834,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_198684,c_170125]) ).
tcf(c_198837,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_198684,c_168448]) ).
tcf(c_198849,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_198829,c_175336]) ).
tcf(c_198853,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_198828,c_175336]) ).
tcf(c_198856,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_198827,c_175336]) ).
tcf(c_198890,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_198830,c_175336]) ).
tcf(c_199156,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_169060,c_184616]) ).
tcf(c_199157,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_169061,c_184616]) ).
tcf(c_199158,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_185884,c_184616]) ).
tcf(c_199164,plain,
~ r1_tarski(iPr_def_29,sK11(iPr_def_20,iPr_def_18)),
inference(superposition,[status(thm)],[c_170574,c_184616]) ).
tcf(c_199171,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_171872,c_184616]) ).
tcf(c_199172,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_171888,c_184616]) ).
tcf(c_199173,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_172247,c_184616]) ).
tcf(c_199174,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_172389,c_184616]) ).
tcf(c_199176,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_172929,c_184616]) ).
tcf(c_199181,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_179661,c_184616]) ).
tcf(c_199182,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_198205,c_184616]) ).
tcf(c_199183,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_181106,c_184616]) ).
tcf(c_199184,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_184385,c_184616]) ).
tcf(c_199185,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_184433,c_184616]) ).
tcf(c_199296,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_8212,c_180517]) ).
tcf(c_199297,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_8214,c_180517]) ).
tcf(c_199298,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_8222,c_180517]) ).
tcf(c_199310,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_8212,c_180518]) ).
tcf(c_199311,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_8214,c_180518]) ).
tcf(c_199312,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_8222,c_180518]) ).
tcf(c_199313,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_180518,c_298]) ).
tcf(c_199329,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_8223,c_184536]) ).
tcf(c_199330,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_176041,c_184536]) ).
tcf(c_199331,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_199329,c_8225]) ).
tcf(c_199332,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_199331,c_8253]) ).
tcf(c_199335,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_199330,c_176042]) ).
tcf(c_199336,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_199335,c_176018]) ).
tcf(c_199346,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_8223,c_184626]) ).
tcf(c_199347,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_176041,c_184626]) ).
tcf(c_199348,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_199346,c_8225]) ).
tcf(c_199349,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_199348,c_8253]) ).
tcf(c_199352,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_199347,c_176042]) ).
tcf(c_199353,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_199352,c_176018]) ).
tcf(c_199388,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK19(sK2)) ),
inference(superposition,[status(thm)],[c_8213,c_191130]) ).
tcf(c_199389,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK19(sK3)) ),
inference(superposition,[status(thm)],[c_8211,c_191130]) ).
tcf(c_199390,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK19(sK3)) ),
inference(light_normalisation,[status(thm)],[c_199389,c_8212]) ).
tcf(c_199391,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,sK19(sK2)) ),
inference(light_normalisation,[status(thm)],[c_199388,c_8214]) ).
tcf(c_199404,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_169060,c_184726]) ).
tcf(c_199405,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_169061,c_184726]) ).
tcf(c_199406,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_185884,c_184726]) ).
tcf(c_199419,plain,
~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK2))),
inference(superposition,[status(thm)],[c_171872,c_184726]) ).
tcf(c_199421,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_172247,c_184726]) ).
tcf(c_199422,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_172389,c_184726]) ).
tcf(c_199424,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_172929,c_184726]) ).
tcf(c_199429,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_179661,c_184726]) ).
tcf(c_199433,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_184433,c_184726]) ).
tcf(c_199549,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_169060,c_185041]) ).
tcf(c_199550,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_169061,c_185041]) ).
tcf(c_199551,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_185884,c_185041]) ).
tcf(c_199565,plain,
~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK2))),
inference(superposition,[status(thm)],[c_171888,c_185041]) ).
tcf(c_199566,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_172247,c_185041]) ).
tcf(c_199567,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_172389,c_185041]) ).
tcf(c_199569,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_172929,c_185041]) ).
tcf(c_199574,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_179661,c_185041]) ).
tcf(c_199578,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_184433,c_185041]) ).
tcf(c_199615,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_169060,c_185126]) ).
tcf(c_199616,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_169061,c_185126]) ).
tcf(c_199617,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_185884,c_185126]) ).
tcf(c_199632,plain,
~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK3))),
inference(superposition,[status(thm)],[c_172247,c_185126]) ).
tcf(c_199635,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_172929,c_185126]) ).
tcf(c_199641,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_198205,c_185126]) ).
tcf(c_199642,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_181106,c_185126]) ).
tcf(c_199643,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_184385,c_185126]) ).
tcf(c_199679,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_169060,c_185210]) ).
tcf(c_199680,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_169061,c_185210]) ).
tcf(c_199681,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_185884,c_185210]) ).
tcf(c_199697,plain,
~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK3))),
inference(superposition,[status(thm)],[c_172389,c_185210]) ).
tcf(c_199699,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_172929,c_185210]) ).
tcf(c_199705,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_198205,c_185210]) ).
tcf(c_199706,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_181106,c_185210]) ).
tcf(c_199707,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_184385,c_185210]) ).
tcf(c_199759,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_176041,c_185136]) ).
tcf(c_199760,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_199759,c_176042]) ).
tcf(c_199761,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_199760,c_176018]) ).
tcf(c_199772,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_176041,c_185220]) ).
tcf(c_199773,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_199772,c_176042]) ).
tcf(c_199774,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_199773,c_176018]) ).
tcf(c_199785,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_176041,c_187671]) ).
tcf(c_199786,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_199785,c_176042]) ).
tcf(c_199787,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_199786,c_176018]) ).
tcf(c_199832,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK25(sK2)) ),
inference(superposition,[status(thm)],[c_8213,c_191514]) ).
tcf(c_199833,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK25(sK3)) ),
inference(superposition,[status(thm)],[c_8211,c_191514]) ).
tcf(c_199834,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK25(sK3)) ),
inference(light_normalisation,[status(thm)],[c_199833,c_8212]) ).
tcf(c_199835,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,sK25(sK2)) ),
inference(light_normalisation,[status(thm)],[c_199832,c_8214]) ).
tcf(c_199840,plain,
sK22(sK14(sK14(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_186262]) ).
tcf(c_199841,plain,
sK22(sK14(sK14(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_186262]) ).
tcf(c_199842,plain,
sK22(sK14(sK14(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_186262]) ).
tcf(c_199843,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_186262]) ).
tcf(c_199844,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_186262]) ).
tcf(c_199870,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_199840,c_184211]) ).
tcf(c_199871,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_199840,c_168660]) ).
tcf(c_199872,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_199840,c_178236]) ).
tcf(c_199873,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK2))))
| ~ l1_pre_topc(sK14(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_199840,c_168563]) ).
tcf(c_199874,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_199840,c_253]) ).
tcf(c_199876,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_199872,c_199840]) ).
tcf(c_199877,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_199876,c_168112]) ).
tcf(c_199883,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_199841,c_184211]) ).
tcf(c_199884,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_199841,c_168660]) ).
tcf(c_199885,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_199841,c_178236]) ).
tcf(c_199886,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK8))))
| ~ l1_pre_topc(sK14(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_199841,c_168563]) ).
tcf(c_199887,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_199841,c_253]) ).
tcf(c_199889,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_199885,c_199841]) ).
tcf(c_199890,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_199889,c_168112]) ).
tcf(c_199900,plain,
sK22(sK14(sK10(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_186263]) ).
tcf(c_199901,plain,
sK22(sK14(sK10(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_186263]) ).
tcf(c_199902,plain,
sK22(sK14(sK10(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_186263]) ).
tcf(c_199903,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_186263]) ).
tcf(c_199904,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_186263]) ).
tcf(c_199932,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_199842,c_184211]) ).
tcf(c_199933,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_199842,c_168660]) ).
tcf(c_199934,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_199842,c_178236]) ).
tcf(c_199935,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK14(sK3))))
| ~ l1_pre_topc(sK14(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_199842,c_168563]) ).
tcf(c_199936,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_199842,c_253]) ).
tcf(c_199938,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_199934,c_199842]) ).
tcf(c_199939,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_199938,c_168112]) ).
tcf(c_199945,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_199900,c_184211]) ).
tcf(c_199946,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_199900,c_168660]) ).
tcf(c_199947,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_199900,c_178236]) ).
tcf(c_199948,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK2))))
| ~ l1_pre_topc(sK14(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_199900,c_168563]) ).
tcf(c_199949,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_199900,c_253]) ).
tcf(c_199951,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_199947,c_199900]) ).
tcf(c_199952,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_199951,c_168112]) ).
tcf(c_199958,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_199901,c_184211]) ).
tcf(c_199959,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_199901,c_168660]) ).
tcf(c_199960,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_199901,c_178236]) ).
tcf(c_199961,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK8))))
| ~ l1_pre_topc(sK14(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_199901,c_168563]) ).
tcf(c_199962,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_199901,c_253]) ).
tcf(c_199964,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_199960,c_199901]) ).
tcf(c_199965,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_199964,c_168112]) ).
tcf(c_199971,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_199902,c_184211]) ).
tcf(c_199972,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_199902,c_168660]) ).
tcf(c_199973,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_199902,c_178236]) ).
tcf(c_199974,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK14(sK10(sK3))))
| ~ l1_pre_topc(sK14(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_199902,c_168563]) ).
tcf(c_199975,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_199902,c_253]) ).
tcf(c_199977,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_199973,c_199902]) ).
tcf(c_199978,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_199977,c_168112]) ).
tcf(c_199992,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_176041,c_191778]) ).
tcf(c_199993,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_199992,c_176042]) ).
tcf(c_199994,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_199993,c_176018]) ).
tcf(c_200058,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_8225,c_198692]) ).
tcf(c_200059,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_176042,c_198692]) ).
tcf(c_200060,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_169791,c_198692]) ).
tcf(c_200061,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_200058,c_8223]) ).
tcf(c_200062,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_200061,c_8253]) ).
tcf(c_200065,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_200059,c_176041]) ).
tcf(c_200066,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_200065,c_176018]) ).
tcf(c_200069,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_200060,c_170219]) ).
tcf(c_200070,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_200069,c_172]) ).
tcf(c_200083,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_167884,c_169482,c_169791]) ).
tcf(c_200094,plain,
sK22(sK10(sK14(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_186298]) ).
tcf(c_200095,plain,
sK22(sK10(sK14(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_186298]) ).
tcf(c_200096,plain,
sK22(sK10(sK14(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_186298]) ).
tcf(c_200097,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_186298]) ).
tcf(c_200098,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_186298]) ).
tcf(c_200103,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_200094,c_184211]) ).
tcf(c_200104,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_200094,c_168660]) ).
tcf(c_200105,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_200094,c_178236]) ).
tcf(c_200106,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK2))))
| ~ l1_pre_topc(sK10(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_200094,c_168563]) ).
tcf(c_200107,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_200094,c_253]) ).
tcf(c_200109,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_200105,c_200094]) ).
tcf(c_200110,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_200109,c_168112]) ).
tcf(c_200116,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_200095,c_184211]) ).
tcf(c_200117,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_200095,c_168660]) ).
tcf(c_200118,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_200095,c_178236]) ).
tcf(c_200119,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK8))))
| ~ l1_pre_topc(sK10(sK14(sK8))) ),
inference(superposition,[status(thm)],[c_200095,c_168563]) ).
tcf(c_200120,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_200095,c_253]) ).
tcf(c_200122,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_200118,c_200095]) ).
tcf(c_200123,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_200122,c_168112]) ).
tcf(c_200146,plain,
sK22(sK10(sK10(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_186299]) ).
tcf(c_200147,plain,
sK22(sK10(sK10(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_186299]) ).
tcf(c_200148,plain,
sK22(sK10(sK10(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_186299]) ).
tcf(c_200149,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_186299]) ).
tcf(c_200150,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_186299]) ).
tcf(c_200155,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_200096,c_184211]) ).
tcf(c_200156,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_200096,c_168660]) ).
tcf(c_200157,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_200096,c_178236]) ).
tcf(c_200158,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK14(sK3))))
| ~ l1_pre_topc(sK10(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_200096,c_168563]) ).
tcf(c_200159,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_200096,c_253]) ).
tcf(c_200161,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_200157,c_200096]) ).
tcf(c_200162,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_200161,c_168112]) ).
tcf(c_200168,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_200146,c_184211]) ).
tcf(c_200169,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_200146,c_168660]) ).
tcf(c_200170,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_200146,c_178236]) ).
tcf(c_200171,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK2))))
| ~ l1_pre_topc(sK10(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_200146,c_168563]) ).
tcf(c_200172,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_200146,c_253]) ).
tcf(c_200174,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_200170,c_200146]) ).
tcf(c_200175,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_200174,c_168112]) ).
tcf(c_200181,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_200147,c_184211]) ).
tcf(c_200182,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_200147,c_168660]) ).
tcf(c_200183,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_200147,c_178236]) ).
tcf(c_200184,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK8))))
| ~ l1_pre_topc(sK10(sK10(sK8))) ),
inference(superposition,[status(thm)],[c_200147,c_168563]) ).
tcf(c_200185,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_200147,c_253]) ).
tcf(c_200187,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_200183,c_200147]) ).
tcf(c_200188,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_200187,c_168112]) ).
tcf(c_200194,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_200148,c_184211]) ).
tcf(c_200195,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_200148,c_168660]) ).
tcf(c_200196,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_200148,c_178236]) ).
tcf(c_200197,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK10(sK10(sK3))))
| ~ l1_pre_topc(sK10(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_200148,c_168563]) ).
tcf(c_200198,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_200148,c_253]) ).
tcf(c_200200,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_200196,c_200148]) ).
tcf(c_200201,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_200200,c_168112]) ).
tcf(c_200256,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_172,c_170220]) ).
tcf(c_200257,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_174071,c_170220]) ).
tcf(c_200258,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_8236,c_170220]) ).
tcf(c_200259,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_8238,c_170220]) ).
tcf(c_200260,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_8240,c_170220]) ).
tcf(c_200262,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_170073,c_170220]) ).
tcf(c_200263,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_168221,c_170220]) ).
tcf(c_200264,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_168230,c_170220]) ).
tcf(c_200265,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_168076,c_170220]) ).
tcf(c_200266,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_168082,c_170220]) ).
tcf(c_200267,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_168083,c_170220]) ).
tcf(c_200269,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_168267,c_170220]) ).
tcf(c_200270,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_168405,c_170220]) ).
tcf(c_200271,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_174072,c_170220]) ).
tcf(c_200272,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_168543,c_170220]) ).
tcf(c_200273,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_168865,c_170220]) ).
tcf(c_200274,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_169316,c_170220]) ).
tcf(c_200275,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_169147,c_170220]) ).
tcf(c_200276,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_169169,c_170220]) ).
tcf(c_200277,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_169200,c_170220]) ).
tcf(c_200278,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_170789,c_170220]) ).
tcf(c_200279,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_176066,c_170220]) ).
tcf(c_200280,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_177230,c_170220]) ).
tcf(c_200282,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_179339,c_170220]) ).
tcf(c_200287,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_180307,c_170220]) ).
tcf(c_200288,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_180434,c_170220]) ).
tcf(c_200289,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_180669,c_170220]) ).
tcf(c_200290,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_180719,c_170220]) ).
tcf(c_200291,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_180959,c_170220]) ).
tcf(c_200293,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_181363,c_170220]) ).
tcf(c_200295,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_181539,c_170220]) ).
tcf(c_200296,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_184330,c_170220]) ).
tcf(c_200297,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_184528,c_170220]) ).
tcf(c_200298,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_184618,c_170220]) ).
tcf(c_200301,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_185128,c_170220]) ).
tcf(c_200302,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_185212,c_170220]) ).
tcf(c_200303,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_187662,c_170220]) ).
tcf(c_200306,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_191770,c_170220]) ).
tcf(c_200307,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_195332,c_170220]) ).
tcf(c_200308,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_198684,c_170220]) ).
tcf(c_200560,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_167887,c_169484,c_169797]) ).
tcf(c_200567,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_200560,c_170076]) ).
tcf(c_200568,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_200560,c_159]) ).
tcf(c_200569,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_200560,c_178443]) ).
tcf(c_200570,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_200560,c_169655]) ).
tcf(c_200571,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_200560,c_8242]) ).
tcf(c_200572,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_200560,c_8232]) ).
tcf(c_200573,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_200560,c_185516]) ).
tcf(c_200576,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_200560,c_174280]) ).
tcf(c_200577,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_200560,c_168242]) ).
tcf(c_200579,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_200560,c_170419]) ).
tcf(c_200580,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_200560,c_171735]) ).
tcf(c_200581,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_200560,c_170438]) ).
tcf(c_200584,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_200560,c_168085]) ).
tcf(c_200585,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_200560,c_168397]) ).
tcf(c_200586,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_200560,c_167829]) ).
tcf(c_200587,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_200560,c_167818]) ).
tcf(c_200588,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_200560,c_167764]) ).
tcf(c_200589,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_200560,c_167730]) ).
tcf(c_200590,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_200560,c_167602]) ).
tcf(c_200591,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_200560,c_8242]) ).
tcf(c_200601,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_200568,c_8213,c_8214]) ).
tcf(c_200602,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_200567,c_8213,c_8214]) ).
tcf(c_200603,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_200569,c_8213,c_8214]) ).
tcf(c_200685,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_169060,c_187660]) ).
tcf(c_200686,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_169061,c_187660]) ).
tcf(c_200687,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_185884,c_187660]) ).
tcf(c_200705,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_172929,c_187660]) ).
tcf(c_200710,plain,
~ r1_tarski(iPr_def_19,k2_tex_4(sK3,iPr_def_30)),
inference(superposition,[status(thm)],[c_179661,c_187660]) ).
tcf(c_200711,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_198205,c_187660]) ).
tcf(c_200712,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_181106,c_187660]) ).
tcf(c_200713,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_184385,c_187660]) ).
tcf(c_200781,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_169060,c_189275]) ).
tcf(c_200782,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_169061,c_189275]) ).
tcf(c_200783,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_185884,c_189275]) ).
tcf(c_200801,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_172929,c_189275]) ).
tcf(c_200809,plain,
~ r1_tarski(iPr_def_21,k2_tex_4(sK2,iPr_def_30)),
inference(superposition,[status(thm)],[c_181106,c_189275]) ).
tcf(c_200811,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_184433,c_189275]) ).
tcf(c_200836,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_169060,c_191571]) ).
tcf(c_200837,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_169061,c_191571]) ).
tcf(c_200838,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_185884,c_191571]) ).
tcf(c_200856,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_172929,c_191571]) ).
tcf(c_200864,plain,
~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_184385,c_191571]) ).
tcf(c_200865,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_184433,c_191571]) ).
tcf(c_200904,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_169060,c_191768]) ).
tcf(c_200905,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_169061,c_191768]) ).
tcf(c_200906,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_185884,c_191768]) ).
tcf(c_200924,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_172929,c_191768]) ).
tcf(c_200930,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_198205,c_191768]) ).
tcf(c_200933,plain,
~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_18))),
inference(superposition,[status(thm)],[c_184433,c_191768]) ).
tcf(c_200996,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_200275,c_171148]) ).
tcf(c_200997,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_200275,c_173106]) ).
tcf(c_200998,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_200275,c_168269]) ).
tcf(c_200999,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_200275,c_167658]) ).
tcf(c_201000,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_200996,c_169147]) ).
tcf(c_201004,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_200997,c_169147]) ).
tcf(c_201009,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_200998,c_169147]) ).
tcf(c_201013,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_200999,c_169147]) ).
tcf(c_201022,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_200276,c_171148]) ).
tcf(c_201023,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_200276,c_173106]) ).
tcf(c_201024,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_200276,c_168269]) ).
tcf(c_201025,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_200276,c_167658]) ).
tcf(c_201026,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_201022,c_169169]) ).
tcf(c_201030,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_201023,c_169169]) ).
tcf(c_201035,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_201024,c_169169]) ).
tcf(c_201039,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_201025,c_169169]) ).
tcf(c_201048,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_200277,c_171148]) ).
tcf(c_201049,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_200277,c_173106]) ).
tcf(c_201050,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_200277,c_168269]) ).
tcf(c_201051,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_200277,c_167658]) ).
tcf(c_201052,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_201048,c_169200]) ).
tcf(c_201056,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_201049,c_169200]) ).
tcf(c_201061,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_201050,c_169200]) ).
tcf(c_201065,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_201051,c_169200]) ).
tcf(c_201095,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_200272,c_173106]) ).
tcf(c_201096,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_200272,c_168269]) ).
tcf(c_201097,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_200272,c_167658]) ).
tcf(c_201098,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_200272,c_186375]) ).
tcf(c_201102,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_201095,c_168543]) ).
tcf(c_201107,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_201096,c_168543]) ).
tcf(c_201111,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_201097,c_168543]) ).
tcf(c_201137,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_200273,c_173106]) ).
tcf(c_201138,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_200273,c_168269]) ).
tcf(c_201139,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_200273,c_167658]) ).
tcf(c_201140,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_200273,c_186360]) ).
tcf(c_201144,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_201137,c_168865]) ).
tcf(c_201149,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_201138,c_168865]) ).
tcf(c_201153,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_201139,c_168865]) ).
tcf(c_201176,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_169504,c_177134]) ).
tcf(c_201177,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_169504,c_169535]) ).
tcf(c_201178,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_169504,c_6732]) ).
tcf(c_201179,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_201178,c_172]) ).
tcf(c_201180,plain,
r2_hidden(k1_tarski(sK12(u1_struct_0(sK20))),k1_zfmisc_1(u1_struct_0(sK20))),
inference(forward_subsumption_resolution,[status(thm)],[c_201177,c_172]) ).
tcf(c_201181,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK20)),k1_tarski(sK12(u1_struct_0(sK20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_201176,c_172]) ).
tcf(c_201209,plain,
r1_tarski(k1_tarski(sK12(u1_struct_0(sK20))),u1_struct_0(sK20)),
inference(superposition,[status(thm)],[c_201179,c_300]) ).
tcf(c_201210,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_201179,c_157]) ).
tcf(c_201211,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_201179,c_154]) ).
tcf(c_201212,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_201179,c_153]) ).
tcf(c_201213,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_201179,c_156]) ).
tcf(c_201232,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_201209,c_170897]) ).
tcf(c_201242,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_192418,c_196495]) ).
tcf(c_201243,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_192418,c_170897]) ).
tcf(c_201244,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_192418,c_186605]) ).
tcf(c_201245,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_192418,c_178479]) ).
tcf(c_201246,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_192418,c_168421]) ).
tcf(c_201247,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_192418,c_186606]) ).
tcf(c_201248,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_192418,c_178480]) ).
tcf(c_201249,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_192418,c_168422]) ).
tcf(c_201253,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_201249,c_8214]) ).
tcf(c_201256,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_201248,c_8214]) ).
tcf(c_201259,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_201246,c_8212]) ).
tcf(c_201262,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_201245,c_8212]) ).
tcf(c_201265,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_201247,c_8214]) ).
tcf(c_201268,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_201244,c_8212]) ).
tcf(c_201329,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_192551,c_196495]) ).
tcf(c_201330,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_192551,c_170897]) ).
tcf(c_201331,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_192551,c_186605]) ).
tcf(c_201332,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_192551,c_178479]) ).
tcf(c_201333,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_192551,c_168421]) ).
tcf(c_201334,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_192551,c_186606]) ).
tcf(c_201335,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_192551,c_178480]) ).
tcf(c_201336,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_192551,c_168422]) ).
tcf(c_201340,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_201336,c_8214]) ).
tcf(c_201343,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_201335,c_8214]) ).
tcf(c_201346,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_201333,c_8212]) ).
tcf(c_201349,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_201332,c_8212]) ).
tcf(c_201352,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_201334,c_8214]) ).
tcf(c_201355,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_201331,c_8212]) ).
tcf(c_201454,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_169797,c_200262]) ).
tcf(c_201455,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_200560,c_200262]) ).
tcf(c_201456,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_200262,c_171148]) ).
tcf(c_201457,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_200262,c_173106]) ).
tcf(c_201458,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_200262,c_168269]) ).
tcf(c_201459,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_200262,c_167658]) ).
tcf(c_201460,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_200262,c_167764]) ).
tcf(c_201461,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_201454,c_169797]) ).
tcf(c_201585,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_201180,c_151]) ).
tcf(c_201589,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_201180,c_8246]) ).
tcf(c_201590,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_201180,c_8233]) ).
tcf(c_201603,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_192817,c_196495]) ).
tcf(c_201604,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_192817,c_170897]) ).
tcf(c_201605,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_192817,c_186605]) ).
tcf(c_201606,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_192817,c_178479]) ).
tcf(c_201607,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_192817,c_168421]) ).
tcf(c_201611,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_192817,c_186607]) ).
tcf(c_201612,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_192817,c_178481]) ).
tcf(c_201613,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_192817,c_168423]) ).
tcf(c_201614,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_201613,c_8222]) ).
tcf(c_201617,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_201612,c_8222]) ).
tcf(c_201620,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_201607,c_8212]) ).
tcf(c_201623,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_201606,c_8212]) ).
tcf(c_201626,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_201611,c_8222]) ).
tcf(c_201629,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_201605,c_8212]) ).
tcf(c_201635,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_201604,c_168543]) ).
tcf(c_201645,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_192970,c_196495]) ).
tcf(c_201646,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_192970,c_170897]) ).
tcf(c_201647,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_192970,c_186605]) ).
tcf(c_201648,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_192970,c_178479]) ).
tcf(c_201649,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_192970,c_168421]) ).
tcf(c_201653,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_192970,c_186607]) ).
tcf(c_201654,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_192970,c_178481]) ).
tcf(c_201655,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_192970,c_168423]) ).
tcf(c_201656,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_201655,c_8222]) ).
tcf(c_201659,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_201654,c_8222]) ).
tcf(c_201662,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_201649,c_8212]) ).
tcf(c_201665,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_201648,c_8212]) ).
tcf(c_201668,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_201653,c_8222]) ).
tcf(c_201671,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_201647,c_8212]) ).
tcf(c_201677,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_201646,c_168865]) ).
tcf(c_201773,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_193509,c_196495]) ).
tcf(c_201774,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_193509,c_170897]) ).
tcf(c_201778,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_193509,c_186606]) ).
tcf(c_201779,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_193509,c_178480]) ).
tcf(c_201780,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_193509,c_168422]) ).
tcf(c_201781,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_193509,c_186607]) ).
tcf(c_201782,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_193509,c_178481]) ).
tcf(c_201783,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_193509,c_168423]) ).
tcf(c_201784,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_201783,c_8222]) ).
tcf(c_201787,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_201782,c_8222]) ).
tcf(c_201790,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_201780,c_8214]) ).
tcf(c_201793,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_201779,c_8214]) ).
tcf(c_201796,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_201781,c_8222]) ).
tcf(c_201799,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_201778,c_8214]) ).
tcf(c_201835,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_193716,c_196495]) ).
tcf(c_201836,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_193716,c_170897]) ).
tcf(c_201840,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_193716,c_186606]) ).
tcf(c_201841,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_193716,c_178480]) ).
tcf(c_201842,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_193716,c_168422]) ).
tcf(c_201843,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_193716,c_186607]) ).
tcf(c_201844,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_193716,c_178481]) ).
tcf(c_201845,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_193716,c_168423]) ).
tcf(c_201846,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_201845,c_8222]) ).
tcf(c_201849,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_201844,c_8222]) ).
tcf(c_201852,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_201842,c_8214]) ).
tcf(c_201855,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_201841,c_8214]) ).
tcf(c_201858,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_201843,c_8222]) ).
tcf(c_201861,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_201840,c_8214]) ).
tcf(c_201935,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_201009,c_196495]) ).
tcf(c_201936,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_201009,c_170897]) ).
tcf(c_201937,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_201009,c_186605]) ).
tcf(c_201938,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_201009,c_178479]) ).
tcf(c_201939,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_201009,c_168421]) ).
tcf(c_201943,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_201009,c_186607]) ).
tcf(c_201944,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_201009,c_178481]) ).
tcf(c_201945,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_201009,c_168423]) ).
tcf(c_201968,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_201936,c_169147]) ).
tcf(c_201981,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_201035,c_196495]) ).
tcf(c_201982,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_201035,c_170897]) ).
tcf(c_201983,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_201035,c_186605]) ).
tcf(c_201984,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_201035,c_178479]) ).
tcf(c_201985,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_201035,c_168421]) ).
tcf(c_201989,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_201035,c_186607]) ).
tcf(c_201990,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_201035,c_178481]) ).
tcf(c_201991,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_201035,c_168423]) ).
tcf(c_202014,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_201982,c_169169]) ).
tcf(c_202045,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_194002,c_196495]) ).
tcf(c_202046,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_194002,c_170897]) ).
tcf(c_202050,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_194002,c_186606]) ).
tcf(c_202051,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_194002,c_178480]) ).
tcf(c_202052,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_194002,c_168422]) ).
tcf(c_202053,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_194002,c_186607]) ).
tcf(c_202054,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_194002,c_178481]) ).
tcf(c_202055,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_194002,c_168423]) ).
tcf(c_202056,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_202055,c_8222]) ).
tcf(c_202059,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_202054,c_8222]) ).
tcf(c_202062,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_202052,c_8214]) ).
tcf(c_202065,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_202051,c_8214]) ).
tcf(c_202068,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_202053,c_8222]) ).
tcf(c_202071,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_202050,c_8214]) ).
tcf(c_202074,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202045,c_179619]) ).
tcf(c_202087,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_194181,c_196495]) ).
tcf(c_202088,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_194181,c_170897]) ).
tcf(c_202089,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_194181,c_186605]) ).
tcf(c_202090,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_194181,c_178479]) ).
tcf(c_202091,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_194181,c_168421]) ).
tcf(c_202095,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_194181,c_186607]) ).
tcf(c_202096,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_194181,c_178481]) ).
tcf(c_202097,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_194181,c_168423]) ).
tcf(c_202098,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_202097,c_8222]) ).
tcf(c_202101,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_202096,c_8222]) ).
tcf(c_202104,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_202091,c_8212]) ).
tcf(c_202107,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_202090,c_8212]) ).
tcf(c_202110,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_202095,c_8222]) ).
tcf(c_202113,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_202089,c_8212]) ).
tcf(c_202116,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202087,c_180958]) ).
tcf(c_202119,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_202088,c_180959]) ).
tcf(c_202261,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_194654,c_170897]) ).
tcf(c_202262,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_194654,c_186605]) ).
tcf(c_202263,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_194654,c_178479]) ).
tcf(c_202264,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_194654,c_168421]) ).
tcf(c_202268,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_194654,c_186607]) ).
tcf(c_202269,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_194654,c_178481]) ).
tcf(c_202270,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_194654,c_168423]) ).
tcf(c_202271,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_202270,c_8222]) ).
tcf(c_202274,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_202269,c_8222]) ).
tcf(c_202277,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_202264,c_8212]) ).
tcf(c_202280,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_202263,c_8212]) ).
tcf(c_202283,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_202268,c_8222]) ).
tcf(c_202286,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_202262,c_8212]) ).
tcf(c_202289,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_202261,c_184330]) ).
tcf(c_202314,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_194816,c_170897]) ).
tcf(c_202318,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_194816,c_186606]) ).
tcf(c_202319,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_194816,c_178480]) ).
tcf(c_202320,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_194816,c_168422]) ).
tcf(c_202321,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_194816,c_186607]) ).
tcf(c_202322,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_194816,c_178481]) ).
tcf(c_202323,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_194816,c_168423]) ).
tcf(c_202324,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_202323,c_8222]) ).
tcf(c_202327,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_202322,c_8222]) ).
tcf(c_202330,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_202320,c_8214]) ).
tcf(c_202333,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_202319,c_8214]) ).
tcf(c_202336,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_202321,c_8222]) ).
tcf(c_202339,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_202318,c_8214]) ).
tcf(c_202378,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_201061,c_196495]) ).
tcf(c_202379,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_201061,c_170897]) ).
tcf(c_202380,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_201061,c_186605]) ).
tcf(c_202381,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_201061,c_178479]) ).
tcf(c_202382,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_201061,c_168421]) ).
tcf(c_202386,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_201061,c_186607]) ).
tcf(c_202387,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_201061,c_178481]) ).
tcf(c_202388,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_201061,c_168423]) ).
tcf(c_202411,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_202379,c_169200]) ).
tcf(c_202447,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_173700,c_201013]) ).
tcf(c_202448,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_180062,c_201013]) ).
tcf(c_202487,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_173700,c_201039]) ).
tcf(c_202488,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_180142,c_201039]) ).
tcf(c_202531,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_173700,c_201065]) ).
tcf(c_202532,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_180239,c_201065]) ).
tcf(c_202560,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_201107,c_196495]) ).
tcf(c_202561,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_201107,c_170897]) ).
tcf(c_202562,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_201107,c_186605]) ).
tcf(c_202563,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_201107,c_178479]) ).
tcf(c_202564,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_201107,c_168421]) ).
tcf(c_202568,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_201107,c_186607]) ).
tcf(c_202569,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_201107,c_178481]) ).
tcf(c_202570,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_201107,c_168423]) ).
tcf(c_202593,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_202561,c_168543]) ).
tcf(c_202606,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_201149,c_196495]) ).
tcf(c_202607,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_201149,c_170897]) ).
tcf(c_202608,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_201149,c_186605]) ).
tcf(c_202609,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_201149,c_178479]) ).
tcf(c_202610,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_201149,c_168421]) ).
tcf(c_202614,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_201149,c_186607]) ).
tcf(c_202615,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_201149,c_178481]) ).
tcf(c_202616,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_201149,c_168423]) ).
tcf(c_202639,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_202607,c_168865]) ).
tcf(c_202668,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_170219,c_191778]) ).
tcf(c_202669,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_170219,c_191581]) ).
tcf(c_202670,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_170219,c_189286]) ).
tcf(c_202671,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_170219,c_187671]) ).
tcf(c_202672,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_170219,c_185220]) ).
tcf(c_202673,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_170219,c_185136]) ).
tcf(c_202674,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_170219,c_185051]) ).
tcf(c_202675,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_170219,c_184736]) ).
tcf(c_202676,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_170219,c_184626]) ).
tcf(c_202677,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_170219,c_184536]) ).
tcf(c_202678,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_170219,c_181546]) ).
tcf(c_202679,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_170219,c_181454]) ).
tcf(c_202680,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_170219,c_181370]) ).
tcf(c_202681,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_170219,c_181228]) ).
tcf(c_202682,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_170219,c_180726]) ).
tcf(c_202683,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_170219,c_180676]) ).
tcf(c_202684,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_170219,c_180441]) ).
tcf(c_202685,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_170219,c_180314]) ).
tcf(c_202686,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_170219,c_180246]) ).
tcf(c_202687,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_170219,c_180149]) ).
tcf(c_202688,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_170219,c_180069]) ).
tcf(c_202690,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_170219,c_179346]) ).
tcf(c_202691,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_170219,c_179247]) ).
tcf(c_202692,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_170219,c_185884]) ).
tcf(c_202693,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_170219,c_176839]) ).
tcf(c_202694,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_170219,c_180601]) ).
tcf(c_202695,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_170219,c_175460]) ).
tcf(c_202696,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_170219,c_175348]) ).
tcf(c_202697,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_170219,c_175075]) ).
tcf(c_202698,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_170219,c_168655]) ).
tcf(c_202699,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_170219,c_174048]) ).
tcf(c_202700,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_170219,c_169395]) ).
tcf(c_202701,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_170219,c_171650]) ).
tcf(c_202702,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_170219,c_170450]) ).
tcf(c_202703,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_170219,c_169322]) ).
tcf(c_202704,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_170219,c_169321]) ).
tcf(c_202705,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_170219,c_169316]) ).
tcf(c_202706,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_170219,c_169062]) ).
tcf(c_202707,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_170219,c_168241]) ).
tcf(c_202708,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_170219,c_168084]) ).
tcf(c_202709,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_170219,c_168060]) ).
tcf(c_202710,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_170219,c_8262]) ).
tcf(c_202711,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_170219,c_169423]) ).
tcf(c_202712,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_170219,c_169314]) ).
tcf(c_202713,plain,
m1_subset_1(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_202709,c_172]) ).
tcf(c_202714,plain,
r2_hidden(k1_funct_1(sK4,sK12(iPr_def_20)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_202698,c_172]) ).
tcf(c_202715,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_202693,c_172]) ).
tcf(c_202719,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_202692,c_172]) ).
tcf(c_202722,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_202706,c_169791]) ).
tcf(c_202724,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_202705,c_169791]) ).
tcf(c_202725,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_202724,c_172]) ).
tcf(c_202728,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_202697,c_169791]) ).
tcf(c_202729,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_202728,c_172]) ).
tcf(c_202732,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_202696,c_169791]) ).
tcf(c_202733,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_202732,c_172]) ).
tcf(c_202736,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_202695,c_169791]) ).
tcf(c_202737,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_202736,c_172]) ).
tcf(c_202740,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_202712,c_169791]) ).
tcf(c_202741,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_202740,c_172]) ).
tcf(c_202744,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_202700,c_169791]) ).
tcf(c_202745,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_202744,c_172]) ).
tcf(c_202748,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_202691,c_169791]) ).
tcf(c_202749,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_202748,c_172]) ).
tcf(c_202752,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_202690,c_169791]) ).
tcf(c_202753,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_202752,c_172]) ).
tcf(c_202760,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_202688,c_169791]) ).
tcf(c_202761,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_202760,c_172]) ).
tcf(c_202764,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_202687,c_169791]) ).
tcf(c_202765,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_202764,c_172]) ).
tcf(c_202768,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_202686,c_169791]) ).
tcf(c_202769,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_202768,c_172]) ).
tcf(c_202772,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_202685,c_169791]) ).
tcf(c_202773,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_202772,c_172]) ).
tcf(c_202776,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_202684,c_169791]) ).
tcf(c_202777,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_202776,c_172]) ).
tcf(c_202780,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_202683,c_169791]) ).
tcf(c_202781,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_202780,c_172]) ).
tcf(c_202784,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_202682,c_169791]) ).
tcf(c_202785,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_202784,c_172]) ).
tcf(c_202788,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_202681,c_169791]) ).
tcf(c_202789,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_202788,c_172]) ).
tcf(c_202792,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_202680,c_169791]) ).
tcf(c_202793,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_202792,c_172]) ).
tcf(c_202796,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_202679,c_169791]) ).
tcf(c_202797,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_202796,c_172]) ).
tcf(c_202800,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_202678,c_169791]) ).
tcf(c_202801,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_202800,c_172]) ).
tcf(c_202804,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_202677,c_169791]) ).
tcf(c_202805,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_202804,c_172]) ).
tcf(c_202808,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_202676,c_169791]) ).
tcf(c_202809,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_202808,c_172]) ).
tcf(c_202812,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_202675,c_169791]) ).
tcf(c_202813,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_202812,c_172]) ).
tcf(c_202816,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_202674,c_169791]) ).
tcf(c_202817,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_202816,c_172]) ).
tcf(c_202820,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_202673,c_169791]) ).
tcf(c_202821,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_202820,c_172]) ).
tcf(c_202824,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_202672,c_169791]) ).
tcf(c_202825,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_202824,c_172]) ).
tcf(c_202828,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_202671,c_169791]) ).
tcf(c_202829,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_202828,c_172]) ).
tcf(c_202832,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_202670,c_169791]) ).
tcf(c_202833,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_202832,c_172]) ).
tcf(c_202836,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_202669,c_169791]) ).
tcf(c_202837,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_202836,c_172]) ).
tcf(c_202840,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_202668,c_169791]) ).
tcf(c_202841,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_202840,c_172]) ).
tcf(c_202844,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_202702,c_169791,c_170219]) ).
tcf(c_202845,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_202844,c_172]) ).
tcf(c_202855,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_202694,c_169791,c_170219]) ).
tcf(c_202856,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_202855,c_172]) ).
tcf(c_202863,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_202699,c_169791,c_170219]) ).
tcf(c_202864,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_202863,c_172]) ).
tcf(c_203094,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_202713,c_169840]) ).
tcf(c_203095,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_202713,c_169538]) ).
tcf(c_203100,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_195681,c_151]) ).
tcf(c_203101,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_195681,c_60]) ).
tcf(c_203103,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_195681,c_293]) ).
tcf(c_203104,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_195681,c_8246]) ).
tcf(c_203105,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_195681,c_8233]) ).
tcf(c_203106,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_195681,c_8245]) ).
tcf(c_203107,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_195681,c_8232]) ).
tcf(c_203108,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_195681,c_168239]) ).
tcf(c_203109,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_195681,c_168240]) ).
tcf(c_203110,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_195681,c_168242]) ).
tcf(c_203111,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_195681,c_168265]) ).
tcf(c_203112,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_195681,c_169314]) ).
tcf(c_203114,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_195681,c_181361]) ).
tcf(c_203115,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_195681,c_172930]) ).
tcf(c_203117,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_195681,c_179337]) ).
tcf(c_203122,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_195681,c_180305]) ).
tcf(c_203123,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_195681,c_180432]) ).
tcf(c_203124,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_195681,c_180667]) ).
tcf(c_203125,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_195681,c_180717]) ).
tcf(c_203127,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_195681,c_181537]) ).
tcf(c_203128,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_195681,c_184526]) ).
tcf(c_203129,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_195681,c_184616]) ).
tcf(c_203132,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_195681,c_185126]) ).
tcf(c_203133,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_195681,c_185210]) ).
tcf(c_203134,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_195681,c_187660]) ).
tcf(c_203137,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_195681,c_191768]) ).
tcf(c_203138,plain,
~ r1_tarski(iPr_def_21,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_195681,c_195344]) ).
tcf(c_203139,plain,
~ r1_tarski(iPr_def_21,sK12(iPr_def_20)),
inference(forward_subsumption_resolution,[status(thm)],[c_203110,c_172]) ).
tcf(c_203172,plain,
~ r1_tarski(iPr_def_21,sK12(k2_tex_4(sK2,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_203115,c_195331]) ).
tcf(c_203181,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_203109,c_195332]) ).
tcf(c_203238,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_196074,c_151]) ).
tcf(c_203239,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_196074,c_60]) ).
tcf(c_203241,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_196074,c_293]) ).
tcf(c_203242,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_196074,c_8246]) ).
tcf(c_203243,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_196074,c_8233]) ).
tcf(c_203244,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_196074,c_8245]) ).
tcf(c_203245,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_196074,c_8232]) ).
tcf(c_203246,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_196074,c_168239]) ).
tcf(c_203247,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_196074,c_168240]) ).
tcf(c_203248,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_196074,c_168243]) ).
tcf(c_203249,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_196074,c_168265]) ).
tcf(c_203250,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_196074,c_169314]) ).
tcf(c_203251,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_196074,c_181445]) ).
tcf(c_203253,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_196074,c_172930]) ).
tcf(c_203254,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_196074,c_179238]) ).
tcf(c_203257,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_196074,c_180060]) ).
tcf(c_203258,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_196074,c_180140]) ).
tcf(c_203259,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_196074,c_180237]) ).
tcf(c_203263,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_196074,c_180717]) ).
tcf(c_203264,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_196074,c_181219]) ).
tcf(c_203265,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_196074,c_181537]) ).
tcf(c_203266,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_196074,c_184526]) ).
tcf(c_203267,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_196074,c_184616]) ).
tcf(c_203268,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_196074,c_184726]) ).
tcf(c_203269,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_196074,c_185041]) ).
tcf(c_203273,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_196074,c_189275]) ).
tcf(c_203274,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_196074,c_191571]) ).
tcf(c_203276,plain,
~ r1_tarski(iPr_def_19,sK12(iPr_def_18)),
inference(forward_subsumption_resolution,[status(thm)],[c_203248,c_172]) ).
tcf(c_203309,plain,
~ r1_tarski(iPr_def_19,sK12(k2_tex_4(sK3,sK12(iPr_def_18)))),
inference(forward_subsumption_resolution,[status(thm)],[c_203253,c_196052]) ).
tcf(c_203321,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_203246,c_196053]) ).
tcf(c_203409,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_197500,c_196496]) ).
tcf(c_203411,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_196496,c_300]) ).
tcf(c_203412,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_196496,c_157]) ).
tcf(c_203413,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_196496,c_154]) ).
tcf(c_203414,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_196496,c_153]) ).
tcf(c_203415,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_196496,c_156]) ).
tcf(c_203416,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_196496,c_6730]) ).
tcf(c_203417,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_196496,c_170220]) ).
tcf(c_203418,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_196496,c_169792]) ).
tcf(c_203419,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_196496,c_168447]) ).
tcf(c_203420,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_196496,c_169483]) ).
tcf(c_203421,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_196496,c_170130]) ).
tcf(c_203422,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_196496,c_167885]) ).
tcf(c_203423,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_196496,c_170212]) ).
tcf(c_203424,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_196496,c_169784]) ).
tcf(c_203425,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_196496,c_169475]) ).
tcf(c_203426,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_196496,c_167838]) ).
tcf(c_203427,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_196496,c_169848]) ).
tcf(c_203428,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_196496,c_169546]) ).
tcf(c_203429,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_196496,c_168446]) ).
tcf(c_203430,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_196496,c_170125]) ).
tcf(c_203431,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_196496,c_169840]) ).
tcf(c_203432,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_196496,c_169538]) ).
tcf(c_203433,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_196496,c_168448]) ).
tcf(c_203446,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_203409,c_185]) ).
tcf(c_203603,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_202714,c_151]) ).
tcf(c_203607,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_202714,c_8246]) ).
tcf(c_203608,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_202714,c_8233]) ).
tcf(c_203611,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_203608,c_170458,c_8255]) ).
tcf(c_203612,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_203607,c_203094,c_203095]) ).
tcf(c_203613,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_203612,c_173701]) ).
tcf(c_203688,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_197500,c_203421]) ).
tcf(c_203689,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_203688,c_197500]) ).
tcf(c_203698,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_173700,c_201111]) ).
tcf(c_203699,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_184728,c_201111]) ).
tcf(c_203716,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_173700,c_201153]) ).
tcf(c_203717,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_185043,c_201153]) ).
tcf(c_203786,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_176044,c_176042,c_176045]) ).
tcf(c_203797,plain,
sK12(k1_zfmisc_1(sK22(sK2))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_197501]) ).
tcf(c_203798,plain,
sK12(k1_zfmisc_1(sK22(sK8))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_197501]) ).
tcf(c_203799,plain,
sK12(k1_zfmisc_1(sK22(sK3))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_197501]) ).
tcf(c_203800,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK14(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_197501]) ).
tcf(c_203801,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK10(X0)))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_197501]) ).
tcf(c_203817,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_169060,c_198682]) ).
tcf(c_203818,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_169061,c_198682]) ).
tcf(c_203819,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_185884,c_198682]) ).
tcf(c_203837,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_172929,c_198682]) ).
tcf(c_203843,plain,
~ r1_tarski(iPr_def_18,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_198205,c_198682]) ).
tcf(c_203848,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_196074,c_198682]) ).
tcf(c_203882,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_198816,c_196495]) ).
tcf(c_203883,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_198816,c_170897]) ).
tcf(c_203884,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_198816,c_186605]) ).
tcf(c_203885,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_198816,c_178479]) ).
tcf(c_203886,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_198816,c_168421]) ).
tcf(c_203887,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_198816,c_186606]) ).
tcf(c_203888,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_198816,c_178480]) ).
tcf(c_203889,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_198816,c_168422]) ).
tcf(c_203890,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_198816,c_186607]) ).
tcf(c_203891,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_198816,c_178481]) ).
tcf(c_203892,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_198816,c_168423]) ).
tcf(c_203893,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_203892,c_8222]) ).
tcf(c_203896,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_203891,c_8222]) ).
tcf(c_203899,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_203889,c_8214]) ).
tcf(c_203902,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_203888,c_8214]) ).
tcf(c_203905,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_203886,c_8212]) ).
tcf(c_203908,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_203885,c_8212]) ).
tcf(c_203911,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_203890,c_8222]) ).
tcf(c_203914,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_203887,c_8214]) ).
tcf(c_203917,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_203884,c_8212]) ).
tcf(c_203972,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_200258,c_171148]) ).
tcf(c_203973,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_200258,c_173106]) ).
tcf(c_203974,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_200258,c_168269]) ).
tcf(c_203975,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_200258,c_167658]) ).
tcf(c_203976,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_203972,c_8236]) ).
tcf(c_203980,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_203973,c_8236]) ).
tcf(c_203985,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_203974,c_8236]) ).
tcf(c_203989,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_203975,c_8236]) ).
tcf(c_203998,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_200259,c_171148]) ).
tcf(c_203999,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_200259,c_173106]) ).
tcf(c_204000,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_200259,c_168269]) ).
tcf(c_204001,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_200259,c_167658]) ).
tcf(c_204002,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_203998,c_8238]) ).
tcf(c_204006,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_203999,c_8238]) ).
tcf(c_204011,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_204000,c_8238]) ).
tcf(c_204015,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_204001,c_8238]) ).
tcf(c_204037,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_200260,c_171148]) ).
tcf(c_204038,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_200260,c_173106]) ).
tcf(c_204039,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_200260,c_168269]) ).
tcf(c_204040,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_200260,c_167658]) ).
tcf(c_204041,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_204037,c_8240]) ).
tcf(c_204045,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_204038,c_8240]) ).
tcf(c_204050,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_204039,c_8240]) ).
tcf(c_204054,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_204040,c_8240]) ).
tcf(c_204075,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_198087,c_175079]) ).
tcf(c_204076,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_198087,c_177619]) ).
tcf(c_204077,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_198087,c_169768]) ).
tcf(c_204078,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_198087,c_169760]) ).
tcf(c_204079,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_198087,c_168892]) ).
tcf(c_204080,plain,
~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_204079,c_197880]) ).
tcf(c_204081,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_204078,c_197880]) ).
tcf(c_204082,plain,
r2_hidden(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_204077,c_197880]) ).
tcf(c_204083,plain,
r1_tarski(k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_204075,c_197880]) ).
tcf(c_204084,plain,
~ r2_hidden(iPr_def_19,k2_tex_4(sK3,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_204076,c_197880]) ).
tcf(c_204086,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_204081,c_169848]) ).
tcf(c_204087,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_204081,c_169546]) ).
tcf(c_204089,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_204081,c_170125]) ).
tcf(c_204139,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_204082,c_151]) ).
tcf(c_204143,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_204082,c_8246]) ).
tcf(c_204144,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_204082,c_8233]) ).
tcf(c_204154,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_204083,c_170897]) ).
tcf(c_204158,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_204154,c_170458,c_8255]) ).
tcf(c_204223,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_203103,c_300]) ).
tcf(c_204224,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_203103,c_157]) ).
tcf(c_204225,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_203103,c_154]) ).
tcf(c_204226,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_203103,c_153]) ).
tcf(c_204227,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_203103,c_156]) ).
tcf(c_204228,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_203103,c_6730]) ).
tcf(c_204233,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_203103,c_170130]) ).
tcf(c_204235,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_203103,c_170212]) ).
tcf(c_204236,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_203103,c_169784]) ).
tcf(c_204237,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_203103,c_169475]) ).
tcf(c_204238,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_203103,c_167838]) ).
tcf(c_204239,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_203103,c_169848]) ).
tcf(c_204240,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_203103,c_169546]) ).
tcf(c_204241,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_203103,c_168446]) ).
tcf(c_204242,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_203103,c_170125]) ).
tcf(c_204243,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_203103,c_169840]) ).
tcf(c_204244,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_203103,c_169538]) ).
tcf(c_204245,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_203103,c_167818]) ).
tcf(c_204246,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_203103,c_168448]) ).
tcf(c_204279,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_204245,c_172]) ).
tcf(c_204357,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_203241,c_300]) ).
tcf(c_204358,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_203241,c_157]) ).
tcf(c_204359,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_203241,c_154]) ).
tcf(c_204360,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_203241,c_153]) ).
tcf(c_204361,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_203241,c_156]) ).
tcf(c_204362,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_203241,c_6730]) ).
tcf(c_204363,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_203241,c_170220]) ).
tcf(c_204364,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_203241,c_169792]) ).
tcf(c_204365,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_203241,c_168447]) ).
tcf(c_204366,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_203241,c_169483]) ).
tcf(c_204367,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_203241,c_170130]) ).
tcf(c_204368,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_203241,c_167885]) ).
tcf(c_204369,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_203241,c_170212]) ).
tcf(c_204370,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_203241,c_169784]) ).
tcf(c_204371,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_203241,c_169475]) ).
tcf(c_204372,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_203241,c_167838]) ).
tcf(c_204376,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_203241,c_170125]) ).
tcf(c_204377,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_203241,c_169840]) ).
tcf(c_204378,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_203241,c_169538]) ).
tcf(c_204379,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ( k2_tex_4(sK3,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k2_tex_4(sK3,sK12(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ m1_subset_1(sK12(iPr_def_18),iPr_def_18) ),
inference(superposition,[status(thm)],[c_203241,c_167867]) ).
tcf(c_204380,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_203241,c_168448]) ).
tcf(c_204413,plain,
( v1_tsp_1(k2_tex_4(sK3,sK12(iPr_def_18)),sK2)
| ( k2_tex_4(sK3,sK5(sK2,k2_tex_4(sK3,sK12(iPr_def_18)))) = k2_tex_4(sK3,sK12(iPr_def_18)) )
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204379,c_172]) ).
tcf(c_204501,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_203603,c_151]) ).
tcf(c_204502,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_203603,c_60]) ).
tcf(c_204504,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_203603,c_293]) ).
tcf(c_204505,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_203603,c_8246]) ).
tcf(c_204506,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_203603,c_8233]) ).
tcf(c_204507,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_203603,c_8245]) ).
tcf(c_204508,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_203603,c_8232]) ).
tcf(c_204509,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_203603,c_168239]) ).
tcf(c_204510,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_203603,c_168240]) ).
tcf(c_204511,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_203603,c_168265]) ).
tcf(c_204512,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_203603,c_169314]) ).
tcf(c_204514,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_203603,c_181361]) ).
tcf(c_204515,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_203603,c_172930]) ).
tcf(c_204517,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_203603,c_179337]) ).
tcf(c_204522,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_203603,c_180305]) ).
tcf(c_204523,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_203603,c_180432]) ).
tcf(c_204524,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_203603,c_180667]) ).
tcf(c_204525,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_203603,c_180717]) ).
tcf(c_204527,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_203603,c_181537]) ).
tcf(c_204528,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_203603,c_184526]) ).
tcf(c_204529,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_203603,c_184616]) ).
tcf(c_204532,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_203603,c_185126]) ).
tcf(c_204533,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_203603,c_185210]) ).
tcf(c_204534,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_203603,c_187660]) ).
tcf(c_204537,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_203603,c_191768]) ).
tcf(c_204591,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_204507,c_202713]) ).
tcf(c_204599,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_204505,c_203094,c_203095]) ).
tcf(c_204699,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_204504,c_300]) ).
tcf(c_204700,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_204504,c_157]) ).
tcf(c_204701,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_204504,c_154]) ).
tcf(c_204702,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_204504,c_153]) ).
tcf(c_204703,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_204504,c_156]) ).
tcf(c_204704,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_204504,c_6730]) ).
tcf(c_204705,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_204504,c_170220]) ).
tcf(c_204706,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_204504,c_169792]) ).
tcf(c_204707,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_204504,c_168447]) ).
tcf(c_204708,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_204504,c_169483]) ).
tcf(c_204709,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_204504,c_170130]) ).
tcf(c_204710,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_204504,c_167885]) ).
tcf(c_204711,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_204504,c_170212]) ).
tcf(c_204712,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_204504,c_169784]) ).
tcf(c_204713,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_204504,c_169475]) ).
tcf(c_204714,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_204504,c_167838]) ).
tcf(c_204715,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_204504,c_169848]) ).
tcf(c_204716,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_204504,c_169546]) ).
tcf(c_204717,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_204504,c_168446]) ).
tcf(c_204718,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_204504,c_170125]) ).
tcf(c_204721,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_204504,c_168448]) ).
tcf(c_204733,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_204713,c_175336]) ).
tcf(c_204737,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_204712,c_175336]) ).
tcf(c_204740,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_204711,c_175336]) ).
tcf(c_204777,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_204714,c_175336]) ).
tcf(c_204918,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_8225,c_172937]) ).
tcf(c_204919,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_176042,c_172937]) ).
tcf(c_204920,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_169791,c_172937]) ).
tcf(c_204921,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_8223,c_172937]) ).
tcf(c_204922,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_170219,c_172937]) ).
tcf(c_204923,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_176041,c_172937]) ).
tcf(c_204924,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_204921,c_8223,c_8225]) ).
tcf(c_204925,plain,
( v1_xboole_0(iPr_def_30)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_30)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204924,c_8253]) ).
tcf(c_204928,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_204923,c_176041,c_176042]) ).
tcf(c_204929,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_204928,c_176018]) ).
tcf(c_204936,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_204922,c_169791,c_170219]) ).
tcf(c_204937,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_204936,c_172]) ).
tcf(c_204949,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_198088,c_175080]) ).
tcf(c_204950,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_198088,c_178011]) ).
tcf(c_204951,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_198088,c_169781]) ).
tcf(c_204952,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_198088,c_169771]) ).
tcf(c_204953,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_204952,c_197880]) ).
tcf(c_204954,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_204951,c_197880]) ).
tcf(c_204955,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_204949,c_197880]) ).
tcf(c_204956,plain,
~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_204950,c_197880]) ).
tcf(c_204984,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_204953,c_169848]) ).
tcf(c_204985,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_204953,c_169546]) ).
tcf(c_204987,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_204953,c_170125]) ).
tcf(c_205009,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_150,c_1176]) ).
tcf(c_205013,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_167602,c_1176]) ).
tcf(c_205014,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_167647,c_1176]) ).
tcf(c_205016,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_168652,c_1176]) ).
tcf(c_205018,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_168643,c_1176]) ).
tcf(c_205019,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_168660,c_1176]) ).
tcf(c_205021,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_168659,c_1176]) ).
tcf(c_205022,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_168658,c_1176]) ).
tcf(c_205023,plain,
! [X0: $i] :
( m1_subset_1(sK23(sK20),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_168642,c_1176]) ).
tcf(c_205024,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_168678,c_1176]) ).
tcf(c_205025,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_168674,c_1176]) ).
tcf(c_205026,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_17,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168632,c_1176]) ).
tcf(c_205027,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_168667,c_1176]) ).
tcf(c_205028,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_22,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168631,c_1176]) ).
tcf(c_205029,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_23,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168630,c_1176]) ).
tcf(c_205030,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_24,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168629,c_1176]) ).
tcf(c_205031,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_25,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168628,c_1176]) ).
tcf(c_205032,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_26,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168627,c_1176]) ).
tcf(c_205033,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_168626,c_1176]) ).
tcf(c_205034,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168625,c_1176]) ).
tcf(c_205035,plain,
! [X0: $i] :
( m1_subset_1(sK4,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168624,c_1176]) ).
tcf(c_205037,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_168649,c_1176]) ).
tcf(c_205040,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_32,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168623,c_1176]) ).
tcf(c_205043,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_168655,c_1176]) ).
tcf(c_205044,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_xboole_0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_168639,c_1176]) ).
tcf(c_205045,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168622,c_1176]) ).
tcf(c_205046,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168621,c_1176]) ).
tcf(c_205047,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168620,c_1176]) ).
tcf(c_205048,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_168619,c_1176]) ).
tcf(c_205049,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_168646,c_1176]) ).
tcf(c_205050,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_168671,c_1176]) ).
tcf(c_205051,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_168866,c_1176]) ).
tcf(c_205052,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_169060,c_1176]) ).
tcf(c_205053,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_169061,c_1176]) ).
tcf(c_205054,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_185884,c_1176]) ).
tcf(c_205055,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_169062,c_1176]) ).
tcf(c_205058,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_169148,c_1176]) ).
tcf(c_205059,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_169170,c_1176]) ).
tcf(c_205060,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_169201,c_1176]) ).
tcf(c_205061,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_169574,c_1176]) ).
tcf(c_205065,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_169746,c_1176]) ).
tcf(c_205066,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_169535,c_1176]) ).
tcf(c_205067,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_169768,c_1176]) ).
tcf(c_205069,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_170041,c_1176]) ).
tcf(c_205070,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_169781,c_1176]) ).
tcf(c_205071,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_170076,c_1176]) ).
tcf(c_205072,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_169870,c_1176]) ).
tcf(c_205073,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_170420,c_1176]) ).
tcf(c_205074,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_170574,c_1176]) ).
tcf(c_205077,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_171106,c_1176]) ).
tcf(c_205078,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_171488,c_1176]) ).
tcf(c_205082,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_171508,c_1176]) ).
tcf(c_205083,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_171650,c_1176]) ).
tcf(c_205084,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_171530,c_1176]) ).
tcf(c_205085,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_171557,c_1176]) ).
tcf(c_205086,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_171779,c_1176]) ).
tcf(c_205087,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_171815,c_1176]) ).
tcf(c_205090,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_171872,c_1176]) ).
tcf(c_205091,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_171888,c_1176]) ).
tcf(c_205092,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_172363,c_1176]) ).
tcf(c_205093,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_172247,c_1176]) ).
tcf(c_205094,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_172389,c_1176]) ).
tcf(c_205096,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_172444,c_1176]) ).
tcf(c_205097,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_172929,c_1176]) ).
tcf(c_205098,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_27,X0)
| ~ r1_tarski(iPr_def_32,X0) ),
inference(superposition,[status(thm)],[c_172991,c_1176]) ).
tcf(c_205099,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_18,X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_173823,c_1176]) ).
tcf(c_205100,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_173871,c_1176]) ).
tcf(c_205101,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_20,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_174110,c_1176]) ).
tcf(c_205102,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_174187,c_1176]) ).
tcf(c_205103,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_28,X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_174815,c_1176]) ).
tcf(c_205104,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_174844,c_1176]) ).
tcf(c_205105,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_175562,c_1176]) ).
tcf(c_205106,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_175715,c_1176]) ).
tcf(c_205107,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_176417,c_1176]) ).
tcf(c_205108,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_176433,c_1176]) ).
tcf(c_205109,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_176449,c_1176]) ).
tcf(c_205110,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175776,c_1176]) ).
tcf(c_205111,plain,
! [X0: $i] :
( m1_subset_1(iPr_def_31,X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_176067,c_1176]) ).
tcf(c_205112,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_176465,c_1176]) ).
tcf(c_205113,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_175743,c_1176]) ).
tcf(c_205114,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_175725,c_1176]) ).
tcf(c_205115,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_175693,c_1176]) ).
tcf(c_205116,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_176875,c_1176]) ).
tcf(c_205117,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_176891,c_1176]) ).
tcf(c_205119,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_176920,c_1176]) ).
tcf(c_205120,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_177390,c_1176]) ).
tcf(c_205121,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_177162,c_1176]) ).
tcf(c_205122,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_177217,c_1176]) ).
tcf(c_205123,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_177420,c_1176]) ).
tcf(c_205124,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_177650,c_1176]) ).
tcf(c_205125,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_177660,c_1176]) ).
tcf(c_205126,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_177676,c_1176]) ).
tcf(c_205127,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_177696,c_1176]) ).
tcf(c_205128,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_178065,c_1176]) ).
tcf(c_205129,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_178075,c_1176]) ).
tcf(c_205130,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_179037,c_1176]) ).
tcf(c_205131,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_179068,c_1176]) ).
tcf(c_205133,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_179127,c_1176]) ).
tcf(c_205134,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_180041,c_1176]) ).
tcf(c_205136,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_179661,c_1176]) ).
tcf(c_205139,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_198205,c_1176]) ).
tcf(c_205140,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_181106,c_1176]) ).
tcf(c_205142,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_184385,c_1176]) ).
tcf(c_205144,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_184433,c_1176]) ).
tcf(c_205145,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_193421,c_1176]) ).
tcf(c_205146,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_194382,c_1176]) ).
tcf(c_205147,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_194573,c_1176]) ).
tcf(c_205148,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_195081,c_1176]) ).
tcf(c_205149,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_193275,c_1176]) ).
tcf(c_205150,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_192238,c_1176]) ).
tcf(c_205151,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_192119,c_1176]) ).
tcf(c_205152,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_195222,c_1176]) ).
tcf(c_205153,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_195798,c_1176]) ).
tcf(c_205154,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_195974,c_1176]) ).
tcf(c_205155,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_196158,c_1176]) ).
tcf(c_205156,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_196266,c_1176]) ).
tcf(c_205159,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_203603,c_1176]) ).
tcf(c_205160,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_195681,c_1176]) ).
tcf(c_205161,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_196422,c_1176]) ).
tcf(c_205162,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_197436,c_1176]) ).
tcf(c_205163,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_198262,c_1176]) ).
tcf(c_205165,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_196074,c_1176]) ).
tcf(c_205166,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_198385,c_1176]) ).
tcf(c_205167,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_198613,c_1176]) ).
tcf(c_205168,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_196477,c_1176]) ).
tcf(c_205169,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_197138,c_1176]) ).
tcf(c_205170,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_197525,c_1176]) ).
tcf(c_205171,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_197545,c_1176]) ).
tcf(c_205172,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_201180,c_1176]) ).
tcf(c_205175,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_204082,c_1176]) ).
tcf(c_206050,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_150,c_1177]) ).
tcf(c_206054,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_167602,c_1177]) ).
tcf(c_206055,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_167647,c_1177]) ).
tcf(c_206057,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_168652,c_1177]) ).
tcf(c_206062,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_168659,c_1177]) ).
tcf(c_206068,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_168667,c_1177]) ).
tcf(c_206084,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_168655,c_1177]) ).
tcf(c_206085,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_168639,c_1177]) ).
tcf(c_206091,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_168671,c_1177]) ).
tcf(c_206093,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_169060,c_1177]) ).
tcf(c_206094,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_169061,c_1177]) ).
tcf(c_206095,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_185884,c_1177]) ).
tcf(c_206096,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_169062,c_1177]) ).
tcf(c_206099,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_169148,c_1177]) ).
tcf(c_206107,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_169535,c_1177]) ).
tcf(c_206112,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_170076,c_1177]) ).
tcf(c_206114,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_170420,c_1177]) ).
tcf(c_206118,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_171106,c_1177]) ).
tcf(c_206124,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_171650,c_1177]) ).
tcf(c_206133,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_172363,c_1177]) ).
tcf(c_206138,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_172929,c_1177]) ).
tcf(c_206151,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_175776,c_1177]) ).
tcf(c_206165,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_177650,c_1177]) ).
tcf(c_206166,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_177660,c_1177]) ).
tcf(c_206168,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_177696,c_1177]) ).
tcf(c_206169,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_178065,c_1177]) ).
tcf(c_206170,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_178075,c_1177]) ).
tcf(c_206174,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_29,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_179127,c_1177]) ).
tcf(c_206175,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_180041,c_1177]) ).
tcf(c_206200,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_18,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_203603,c_1177]) ).
tcf(c_206201,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_21,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_195681,c_1177]) ).
tcf(c_206202,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_196422,c_1177]) ).
tcf(c_206206,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(iPr_def_19,X0)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_196074,c_1177]) ).
tcf(c_206207,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_198385,c_1177]) ).
tcf(c_206208,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_198613,c_1177]) ).
tcf(c_206209,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_196477,c_1177]) ).
tcf(c_206210,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_197138,c_1177]) ).
tcf(c_206211,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_197525,c_1177]) ).
tcf(c_206212,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_197545,c_1177]) ).
tcf(c_206213,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),X0) ),
inference(superposition,[status(thm)],[c_201180,c_1177]) ).
tcf(c_206574,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_204954,c_1176]) ).
tcf(c_206575,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_204954,c_151]) ).
tcf(c_206579,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_204954,c_8246]) ).
tcf(c_206580,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_204954,c_8233]) ).
tcf(c_206659,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_204955,c_170897]) ).
tcf(c_206663,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_206659,c_170458,c_8255]) ).
tcf(c_206674,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_170628,c_205026]) ).
tcf(c_206687,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_168266,c_206096]) ).
tcf(c_206690,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_170634,c_206096]) ).
tcf(c_206691,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_170628,c_206096]) ).
tcf(c_206692,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_8225,c_206096]) ).
tcf(c_206693,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_176042,c_206096]) ).
tcf(c_206694,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_169791,c_206096]) ).
tcf(c_206695,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_206692,c_8253]) ).
tcf(c_206703,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_206693,c_176018]) ).
tcf(c_206707,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_206694,c_172]) ).
tcf(c_206731,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_168266,c_205055]) ).
tcf(c_206734,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_170634,c_205055]) ).
tcf(c_206735,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_170628,c_205055]) ).
tcf(c_206736,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_8225,c_205055]) ).
tcf(c_206737,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_176042,c_205055]) ).
tcf(c_206738,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_169791,c_205055]) ).
tcf(c_206739,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_206736,c_8223]) ).
tcf(c_206740,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_206739,c_8253]) ).
tcf(c_206748,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_206737,c_176041]) ).
tcf(c_206749,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_206748,c_176018]) ).
tcf(c_206753,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_206738,c_170219]) ).
tcf(c_206754,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_206753,c_172]) ).
tcf(c_206791,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_206690,c_168221]) ).
tcf(c_206807,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_168266,c_206791]) ).
tcf(c_206810,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_170628,c_206791]) ).
tcf(c_206811,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_171942,c_206791]) ).
tcf(c_206813,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_8225,c_206791]) ).
tcf(c_206814,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_176042,c_206791]) ).
tcf(c_206815,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_169791,c_206791]) ).
tcf(c_206816,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_206813,c_8225]) ).
tcf(c_206823,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_206814,c_176042]) ).
tcf(c_206824,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_206823,c_176018]) ).
tcf(c_206829,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_206815,c_169791]) ).
tcf(c_206830,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_206829,c_172]) ).
tcf(c_206878,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_206734,c_168221]) ).
tcf(c_206894,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_168266,c_206878]) ).
tcf(c_206895,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_288,c_206878]) ).
tcf(c_206897,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_170628,c_206878]) ).
tcf(c_206898,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_171942,c_206878]) ).
tcf(c_206899,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_175352,c_206878]) ).
tcf(c_206900,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_8225,c_206878]) ).
tcf(c_206901,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_176042,c_206878]) ).
tcf(c_206902,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_169791,c_206878]) ).
tcf(c_206907,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_206900,c_8223,c_8225]) ).
tcf(c_206919,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_206901,c_176041,c_176042]) ).
tcf(c_206920,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_206919,c_176018]) ).
tcf(c_206925,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_206902,c_169791,c_170219]) ).
tcf(c_206926,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_206925,c_172]) ).
tcf(c_206995,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_168266,c_205107]) ).
tcf(c_206998,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_170628,c_205107]) ).
tcf(c_206999,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_171942,c_205107]) ).
tcf(c_207000,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_175352,c_205107]) ).
tcf(c_207051,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_168266,c_205108]) ).
tcf(c_207054,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_170628,c_205108]) ).
tcf(c_207055,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_171942,c_205108]) ).
tcf(c_207056,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_175352,c_205108]) ).
tcf(c_207079,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_198213,c_198849,c_198853]) ).
tcf(c_207093,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168266,c_206050]) ).
tcf(c_207096,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_168563,c_206050]) ).
tcf(c_207097,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_168438,c_206050]) ).
tcf(c_207098,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_168439,c_206050]) ).
tcf(c_207099,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_168537,c_206050]) ).
tcf(c_207100,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_168859,c_206050]) ).
tcf(c_207102,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_168389,c_206050]) ).
tcf(c_207103,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_168397,c_206050]) ).
tcf(c_207104,plain,
! [X0: $i,X1: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168435,c_206050]) ).
tcf(c_207105,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_xboole_0,X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168445,c_206050]) ).
tcf(c_207106,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_201107,c_206050]) ).
tcf(c_207108,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_186159,c_206050]) ).
tcf(c_207109,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_174623,c_206050]) ).
tcf(c_207110,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_168783,c_206050]) ).
tcf(c_207111,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_201149,c_206050]) ).
tcf(c_207113,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_186200,c_206050]) ).
tcf(c_207114,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_174651,c_206050]) ).
tcf(c_207115,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_168960,c_206050]) ).
tcf(c_207116,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_169395,c_206050]) ).
tcf(c_207118,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_201009,c_206050]) ).
tcf(c_207119,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_185810,c_206050]) ).
tcf(c_207120,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_174444,c_206050]) ).
tcf(c_207121,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_169723,c_206050]) ).
tcf(c_207122,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_201035,c_206050]) ).
tcf(c_207123,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_186095,c_206050]) ).
tcf(c_207124,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_174484,c_206050]) ).
tcf(c_207125,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_169942,c_206050]) ).
tcf(c_207126,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_201061,c_206050]) ).
tcf(c_207127,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_186121,c_206050]) ).
tcf(c_207128,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_174571,c_206050]) ).
tcf(c_207129,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_169968,c_206050]) ).
tcf(c_207130,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_170634,c_206050]) ).
tcf(c_207131,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_170628,c_206050]) ).
tcf(c_207134,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_171942,c_206050]) ).
tcf(c_207175,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_178116,c_206050]) ).
tcf(c_207212,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_192418,c_206050]) ).
tcf(c_207213,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_192551,c_206050]) ).
tcf(c_207222,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_198816,c_206050]) ).
tcf(c_207471,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_206575,c_1176]) ).
tcf(c_207472,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_206575,c_151]) ).
tcf(c_207473,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_206575,c_60]) ).
tcf(c_207476,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_206575,c_8246]) ).
tcf(c_207477,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_206575,c_8233]) ).
tcf(c_207478,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_206575,c_8245]) ).
tcf(c_207479,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_206575,c_8232]) ).
tcf(c_207480,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_206575,c_168239]) ).
tcf(c_207481,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_206575,c_168240]) ).
tcf(c_207482,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_206575,c_168265]) ).
tcf(c_207483,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_206575,c_169314]) ).
tcf(c_207484,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_206575,c_181445]) ).
tcf(c_207486,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_206575,c_172930]) ).
tcf(c_207487,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_206575,c_179238]) ).
tcf(c_207490,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_206575,c_180060]) ).
tcf(c_207491,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_206575,c_180140]) ).
tcf(c_207492,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_206575,c_180237]) ).
tcf(c_207496,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_206575,c_180717]) ).
tcf(c_207497,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_206575,c_181219]) ).
tcf(c_207498,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_206575,c_181537]) ).
tcf(c_207499,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_206575,c_184526]) ).
tcf(c_207500,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_206575,c_184616]) ).
tcf(c_207501,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_206575,c_184726]) ).
tcf(c_207502,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_206575,c_185041]) ).
tcf(c_207506,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_206575,c_189275]) ).
tcf(c_207507,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_206575,c_191571]) ).
tcf(c_207509,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_206575,c_198682]) ).
tcf(c_207542,plain,
~ r1_tarski(iPr_def_19,sK12(k1_tarski(k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_207486,c_190]) ).
tcf(c_207557,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_207480,c_204953]) ).
tcf(c_207695,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_168441,c_170897]) ).
tcf(c_207736,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_170628,c_205028]) ).
tcf(c_207748,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_170628,c_205029]) ).
tcf(c_207760,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_170628,c_205030]) ).
tcf(c_207772,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_170628,c_205031]) ).
tcf(c_207837,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_168266,c_205109]) ).
tcf(c_207840,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_170628,c_205109]) ).
tcf(c_207841,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_171942,c_205109]) ).
tcf(c_207842,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_175352,c_205109]) ).
tcf(c_207903,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_168266,c_205112]) ).
tcf(c_207906,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_170628,c_205112]) ).
tcf(c_207907,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_171942,c_205112]) ).
tcf(c_207908,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_175352,c_205112]) ).
tcf(c_207939,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_198849,c_175344]) ).
tcf(c_207940,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_198849,c_175309]) ).
tcf(c_207941,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_198849,c_168646]) ).
tcf(c_207942,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_198849,c_170446]) ).
tcf(c_207943,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_198849,c_168405]) ).
tcf(c_207952,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_207942,c_198849]) ).
tcf(c_207982,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_168442,c_170897]) ).
tcf(c_207997,plain,
! [X0: $i] :
( ( sK22(sK8) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168,c_168832]) ).
tcf(c_207998,plain,
! [X0: $i] :
( ( sK22(sK3) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8256,c_168832]) ).
tcf(c_207999,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK14(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_168832]) ).
tcf(c_208000,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK10(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_168832]) ).
tcf(c_208033,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_169140,c_206050]) ).
tcf(c_208034,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_169140,c_196495]) ).
tcf(c_208035,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_169140,c_170897]) ).
tcf(c_208065,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_169162,c_206050]) ).
tcf(c_208066,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_169162,c_196495]) ).
tcf(c_208067,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_169162,c_170897]) ).
tcf(c_208096,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_170628,c_205032]) ).
tcf(c_208114,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_170628,c_205033]) ).
tcf(c_208134,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_170628,c_205034]) ).
tcf(c_208146,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_170628,c_205035]) ).
tcf(c_208203,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_168266,c_205113]) ).
tcf(c_208206,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_170628,c_205113]) ).
tcf(c_208207,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_171942,c_205113]) ).
tcf(c_208208,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_175352,c_205113]) ).
tcf(c_208273,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_168266,c_205114]) ).
tcf(c_208276,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_170628,c_205114]) ).
tcf(c_208277,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_171942,c_205114]) ).
tcf(c_208278,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_175352,c_205114]) ).
tcf(c_208319,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_168266,c_205115]) ).
tcf(c_208322,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_170628,c_205115]) ).
tcf(c_208323,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_171942,c_205115]) ).
tcf(c_208324,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_175352,c_205115]) ).
tcf(c_208358,plain,
~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(global_subsumption_just,[status(thm)],[c_207940,c_45346,c_53514]) ).
tcf(c_208439,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_169193,c_206050]) ).
tcf(c_208440,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_169193,c_196495]) ).
tcf(c_208441,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_169193,c_170897]) ).
tcf(c_208465,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_168436,c_169447]) ).
tcf(c_208466,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_169140,c_169447]) ).
tcf(c_208467,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_169162,c_169447]) ).
tcf(c_208468,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_168563,c_169447]) ).
tcf(c_208470,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_169193,c_169447]) ).
tcf(c_208471,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_168438,c_169447]) ).
tcf(c_208472,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_168439,c_169447]) ).
tcf(c_208473,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_168537,c_169447]) ).
tcf(c_208474,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_168859,c_169447]) ).
tcf(c_208475,plain,
( r2_hidden(iPr_def_30,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_169447]) ).
tcf(c_208476,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_168441,c_169447]) ).
tcf(c_208477,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_168442,c_169447]) ).
tcf(c_208478,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_168389,c_169447]) ).
tcf(c_208479,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_168397,c_169447]) ).
tcf(c_208480,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_169447]) ).
tcf(c_208481,plain,
! [X0: $i] :
( r2_hidden(iPr_def_30,X0)
| ~ r1_tarski(iPr_def_32,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_168445,c_169447]) ).
tcf(c_208482,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_201107,c_169447]) ).
tcf(c_208483,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_192817,c_169447]) ).
tcf(c_208484,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_186159,c_169447]) ).
tcf(c_208485,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_174623,c_169447]) ).
tcf(c_208486,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_168783,c_169447]) ).
tcf(c_208487,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_201149,c_169447]) ).
tcf(c_208488,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_192970,c_169447]) ).
tcf(c_208489,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_186200,c_169447]) ).
tcf(c_208490,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_174651,c_169447]) ).
tcf(c_208491,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_168960,c_169447]) ).
tcf(c_208492,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_169395,c_169447]) ).
tcf(c_208494,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_201009,c_169447]) ).
tcf(c_208495,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_185810,c_169447]) ).
tcf(c_208496,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_174444,c_169447]) ).
tcf(c_208497,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_169723,c_169447]) ).
tcf(c_208498,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_201035,c_169447]) ).
tcf(c_208499,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_186095,c_169447]) ).
tcf(c_208500,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_174484,c_169447]) ).
tcf(c_208501,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_169942,c_169447]) ).
tcf(c_208502,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_201061,c_169447]) ).
tcf(c_208503,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_186121,c_169447]) ).
tcf(c_208504,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_174571,c_169447]) ).
tcf(c_208505,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_169968,c_169447]) ).
tcf(c_208506,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_170634,c_169447]) ).
tcf(c_208507,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_170628,c_169447]) ).
tcf(c_208508,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_168380,c_169447]) ).
tcf(c_208509,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_168375,c_169447]) ).
tcf(c_208510,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_171942,c_169447]) ).
tcf(c_208511,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_168370,c_169447]) ).
tcf(c_208514,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_169447]) ).
tcf(c_208515,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_175002,c_169447]) ).
tcf(c_208516,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_175027,c_169447]) ).
tcf(c_208546,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_169447]) ).
tcf(c_208547,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_169447]) ).
tcf(c_208548,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_175460,c_169447]) ).
tcf(c_208551,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_178116,c_169447]) ).
tcf(c_208554,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_178134,c_169447]) ).
tcf(c_208556,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_194181,c_169447]) ).
tcf(c_208559,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_181892,c_169447]) ).
tcf(c_208561,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_182028,c_169447]) ).
tcf(c_208565,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_182356,c_169447]) ).
tcf(c_208567,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_182535,c_169447]) ).
tcf(c_208569,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_182664,c_169447]) ).
tcf(c_208571,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_182829,c_169447]) ).
tcf(c_208573,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_183020,c_169447]) ).
tcf(c_208575,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_183138,c_169447]) ).
tcf(c_208579,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_183406,c_169447]) ).
tcf(c_208581,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_183567,c_169447]) ).
tcf(c_208583,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_183688,c_169447]) ).
tcf(c_208588,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_192418,c_169447]) ).
tcf(c_208589,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_192551,c_169447]) ).
tcf(c_208590,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_193509,c_169447]) ).
tcf(c_208591,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_193716,c_169447]) ).
tcf(c_208592,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_194002,c_169447]) ).
tcf(c_208593,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_194654,c_169447]) ).
tcf(c_208594,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_194816,c_169447]) ).
tcf(c_208597,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_201209,c_169447]) ).
tcf(c_208598,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_198816,c_169447]) ).
tcf(c_209115,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_169532,c_169447]) ).
tcf(c_209118,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_169532,c_170897]) ).
tcf(c_209141,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_170628,c_205040]) ).
tcf(c_209153,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_170628,c_205045]) ).
tcf(c_209179,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_170628,c_205046]) ).
tcf(c_209191,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_170628,c_205047]) ).
tcf(c_209206,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_208506,c_1177]) ).
tcf(c_209207,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_208506,c_1176]) ).
tcf(c_209208,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_208506,c_151]) ).
tcf(c_209209,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_208506,c_60]) ).
tcf(c_209210,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_208506,c_304]) ).
tcf(c_209211,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_208506,c_293]) ).
tcf(c_209212,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_208506,c_8246]) ).
tcf(c_209213,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_208506,c_8233]) ).
tcf(c_209247,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_209213,c_176042,c_176045]) ).
tcf(c_209255,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_209212,c_8224,c_169852]) ).
tcf(c_209301,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_169504,c_209118]) ).
tcf(c_209302,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_209301,c_169504]) ).
tcf(c_209323,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_168266,c_205116]) ).
tcf(c_209326,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_170628,c_205116]) ).
tcf(c_209327,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_171942,c_205116]) ).
tcf(c_209328,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_175352,c_205116]) ).
tcf(c_209374,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_168266,c_205117]) ).
tcf(c_209377,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_170628,c_205117]) ).
tcf(c_209378,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_171942,c_205117]) ).
tcf(c_209379,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_175352,c_205117]) ).
tcf(c_209417,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(global_subsumption_just,[status(thm)],[c_207941,c_45347,c_53514]) ).
tcf(c_209420,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_209417,c_1176]) ).
tcf(c_209421,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_209417,c_151]) ).
tcf(c_209424,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(superposition,[status(thm)],[c_209417,c_293]) ).
tcf(c_209425,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_209417,c_8246]) ).
tcf(c_209426,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_209417,c_8233]) ).
tcf(c_209479,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_209424,c_170220]) ).
tcf(c_209480,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_209424,c_169792]) ).
tcf(c_209481,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,iPr_def_30)),iPr_def_20),
inference(superposition,[status(thm)],[c_209424,c_168447]) ).
tcf(c_209482,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_209424,c_169483]) ).
tcf(c_209483,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_209424,c_170130]) ).
tcf(c_209484,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_209424,c_167885]) ).
tcf(c_209568,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_209421,c_1176]) ).
tcf(c_209569,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_209421,c_151]) ).
tcf(c_209570,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_209421,c_60]) ).
tcf(c_209573,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_209421,c_8246]) ).
tcf(c_209574,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_209421,c_8233]) ).
tcf(c_209575,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_209421,c_8245]) ).
tcf(c_209576,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_209421,c_8232]) ).
tcf(c_209577,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_209421,c_168239]) ).
tcf(c_209578,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_209421,c_168240]) ).
tcf(c_209579,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_209421,c_168265]) ).
tcf(c_209580,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_209421,c_169314]) ).
tcf(c_209582,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_209421,c_181361]) ).
tcf(c_209583,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_209421,c_172930]) ).
tcf(c_209585,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_209421,c_179337]) ).
tcf(c_209590,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_209421,c_180305]) ).
tcf(c_209591,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_209421,c_180432]) ).
tcf(c_209592,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_209421,c_180667]) ).
tcf(c_209593,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_209421,c_180717]) ).
tcf(c_209595,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_209421,c_181537]) ).
tcf(c_209596,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_209421,c_184526]) ).
tcf(c_209597,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_209421,c_184616]) ).
tcf(c_209600,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_209421,c_185126]) ).
tcf(c_209601,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_209421,c_185210]) ).
tcf(c_209602,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_209421,c_187660]) ).
tcf(c_209605,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_209421,c_191768]) ).
tcf(c_209637,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(k1_funct_1(sK4,iPr_def_30)))),
inference(forward_subsumption_resolution,[status(thm)],[c_209583,c_190]) ).
tcf(c_209649,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_209578,c_209424]) ).
tcf(c_209652,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_209577,c_204953]) ).
tcf(c_209771,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_170634,c_175489]) ).
tcf(c_209772,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_170628,c_175489]) ).
tcf(c_209790,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_168266,c_178488]) ).
tcf(c_209791,plain,
! [X0: $i] : r1_tarski(k1_zfmisc_1(X0),k1_zfmisc_1(X0)),
inference(superposition,[status(thm)],[c_178116,c_178488]) ).
tcf(c_209792,plain,
r1_tarski(iPr_def_21,k1_zfmisc_1(iPr_def_20)),
inference(superposition,[status(thm)],[c_178122,c_178488]) ).
tcf(c_209793,plain,
r1_tarski(iPr_def_19,k1_zfmisc_1(iPr_def_18)),
inference(superposition,[status(thm)],[c_178130,c_178488]) ).
tcf(c_209794,plain,
r1_tarski(iPr_def_29,k1_zfmisc_1(iPr_def_28)),
inference(superposition,[status(thm)],[c_178134,c_178488]) ).
tcf(c_209795,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_8212,c_178488]) ).
tcf(c_209796,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_8214,c_178488]) ).
tcf(c_209797,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_8222,c_178488]) ).
tcf(c_209798,plain,
r1_tarski(iPr_def_29,iPr_def_29),
inference(light_normalisation,[status(thm)],[c_209794,c_8222]) ).
tcf(c_209799,plain,
r1_tarski(iPr_def_19,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_209793,c_8212]) ).
tcf(c_209800,plain,
r1_tarski(iPr_def_21,iPr_def_21),
inference(light_normalisation,[status(thm)],[c_209792,c_8214]) ).
tcf(c_209801,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_209797,c_8222]) ).
tcf(c_209804,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_209796,c_8214]) ).
tcf(c_209807,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_209795,c_8212]) ).
tcf(c_209821,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_209481,c_170897]) ).
tcf(c_209825,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_209821,c_174072,c_209424]) ).
tcf(c_209836,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_170628,c_205048]) ).
tcf(c_209838,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_209836,c_173701]) ).
tcf(c_209849,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_170628,c_205072]) ).
tcf(c_209861,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_170628,c_205098]) ).
tcf(c_209881,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_8212,c_209771]) ).
tcf(c_209882,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_8214,c_209771]) ).
tcf(c_209883,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_8222,c_209771]) ).
tcf(c_209885,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_209771,c_1176]) ).
tcf(c_209886,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_209771,c_151]) ).
tcf(c_209887,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_209771,c_60]) ).
tcf(c_209889,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_209771,c_293]) ).
tcf(c_209890,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_209771,c_8246]) ).
tcf(c_209891,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_209771,c_8233]) ).
tcf(c_209892,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_209883,c_8222]) ).
tcf(c_209893,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_209892,c_168556]) ).
tcf(c_209898,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_209882,c_8214]) ).
tcf(c_209899,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_209898,c_8235]) ).
tcf(c_209904,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_209881,c_8212]) ).
tcf(c_209905,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_209904,c_8229]) ).
tcf(c_210009,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_209899,c_1176]) ).
tcf(c_210010,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_209899,c_151]) ).
tcf(c_210011,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_209899,c_60]) ).
tcf(c_210013,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_209899,c_293]) ).
tcf(c_210014,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_209899,c_8246]) ).
tcf(c_210015,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_209899,c_8233]) ).
tcf(c_210082,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_168266,c_205119]) ).
tcf(c_210085,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_170628,c_205119]) ).
tcf(c_210086,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_171942,c_205119]) ).
tcf(c_210087,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_175352,c_205119]) ).
tcf(c_210128,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_168266,c_205121]) ).
tcf(c_210131,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_170628,c_205121]) ).
tcf(c_210132,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_171942,c_205121]) ).
tcf(c_210133,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_175352,c_205121]) ).
tcf(c_210218,plain,
r1_tarski(k1_zfmisc_1(iPr_def_28),iPr_def_29),
inference(superposition,[status(thm)],[c_178116,c_209801]) ).
tcf(c_210226,plain,
r1_tarski(k1_zfmisc_1(iPr_def_20),iPr_def_21),
inference(superposition,[status(thm)],[c_178116,c_209804]) ).
tcf(c_210234,plain,
r1_tarski(k1_zfmisc_1(iPr_def_18),iPr_def_19),
inference(superposition,[status(thm)],[c_178116,c_209807]) ).
tcf(c_210243,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_168397,c_181148]) ).
tcf(c_210244,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_170634,c_181148]) ).
tcf(c_210245,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_170628,c_181148]) ).
tcf(c_210247,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_194181,c_181148]) ).
tcf(c_210248,plain,
r2_hidden(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_181097,c_181148]) ).
tcf(c_210251,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_210243,c_176018]) ).
tcf(c_210258,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_210244,c_180959]) ).
tcf(c_210263,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_210248,c_1176]) ).
tcf(c_210265,plain,
~ r2_hidden(iPr_def_20,k1_funct_1(sK4,iPr_def_30)),
inference(superposition,[status(thm)],[c_210248,c_60]) ).
tcf(c_210267,plain,
m1_subset_1(k1_funct_1(sK4,iPr_def_30),iPr_def_20),
inference(superposition,[status(thm)],[c_210248,c_293]) ).
tcf(c_210268,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_210248,c_8246]) ).
tcf(c_210269,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_210248,c_8233]) ).
tcf(c_210272,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_210269,c_198849,c_198853]) ).
tcf(c_210273,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_210272,c_174072]) ).
tcf(c_210276,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_210268,c_198087,c_198088]) ).
tcf(c_210315,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_170628,c_205099]) ).
tcf(c_210330,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_168266,c_205122]) ).
tcf(c_210333,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_170628,c_205122]) ).
tcf(c_210334,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_171942,c_205122]) ).
tcf(c_210335,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_175352,c_205122]) ).
tcf(c_210376,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_168266,c_205123]) ).
tcf(c_210379,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_170628,c_205123]) ).
tcf(c_210380,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_171942,c_205123]) ).
tcf(c_210381,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_175352,c_205123]) ).
tcf(c_210433,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_168266,c_205125]) ).
tcf(c_210436,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_170628,c_205125]) ).
tcf(c_210437,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_171942,c_205125]) ).
tcf(c_210438,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_175352,c_205125]) ).
tcf(c_210487,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_168266,c_205126]) ).
tcf(c_210490,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_170628,c_205126]) ).
tcf(c_210491,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_171942,c_205126]) ).
tcf(c_210492,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_175352,c_205126]) ).
tcf(c_210542,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_198853,c_206878]) ).
tcf(c_210543,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_198853,c_206791]) ).
tcf(c_210544,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_198853,c_205055]) ).
tcf(c_210545,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_198853,c_206096]) ).
tcf(c_210546,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_198853,c_172937]) ).
tcf(c_210547,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_198853,c_198692]) ).
tcf(c_210548,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_198853,c_175338]) ).
tcf(c_210549,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_198853,c_175669]) ).
tcf(c_210550,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_198853,c_168649]) ).
tcf(c_210551,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_198853,c_172211]) ).
tcf(c_210552,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_198853,c_172174]) ).
tcf(c_210553,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_198853,c_171650]) ).
tcf(c_210554,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_198853,c_171633]) ).
tcf(c_210555,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_198853,c_171608]) ).
tcf(c_210556,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_198853,c_170440]) ).
tcf(c_210557,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_198853,c_169318]) ).
tcf(c_210558,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_198853,c_169317]) ).
tcf(c_210559,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_198853,c_169655]) ).
tcf(c_210560,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_198853,c_169639]) ).
tcf(c_210561,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_198853,c_169322]) ).
tcf(c_210562,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_198853,c_169321]) ).
tcf(c_210563,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_198853,c_169423]) ).
tcf(c_210564,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_198853,c_169313]) ).
tcf(c_210565,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_198853,c_169315]) ).
tcf(c_210566,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_198853,c_168241]) ).
tcf(c_210567,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_198853,c_168221]) ).
tcf(c_210568,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_198853,c_168084]) ).
tcf(c_210569,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_198853,c_168120]) ).
tcf(c_210570,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_198853,c_167694]) ).
tcf(c_210571,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_198853,c_167670]) ).
tcf(c_210572,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_198853,c_8262]) ).
tcf(c_210573,plain,
~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_210569,c_210267]) ).
tcf(c_210574,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_210567,c_210267]) ).
tcf(c_210575,plain,
r2_hidden(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_210550,c_210267]) ).
tcf(c_210576,plain,
r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_210548,c_210267]) ).
tcf(c_210577,plain,
~ r2_hidden(iPr_def_21,k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_210549,c_210267]) ).
tcf(c_210578,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_210565,c_210267]) ).
tcf(c_210581,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_210572,c_198856]) ).
tcf(c_210582,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_210581,c_210267]) ).
tcf(c_210583,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_210568,c_198856]) ).
tcf(c_210584,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_210583,c_210267]) ).
tcf(c_210585,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_210566,c_198856]) ).
tcf(c_210586,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_210585,c_210267]) ).
tcf(c_210587,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_210556,c_198853]) ).
tcf(c_210588,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_210587,c_210267]) ).
tcf(c_210591,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_210545,c_210267]) ).
tcf(c_210595,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_210547,c_198856]) ).
tcf(c_210596,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_210595,c_210267]) ).
tcf(c_210599,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_210564,c_198856]) ).
tcf(c_210600,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_210599,c_210267]) ).
tcf(c_210604,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_210544,c_198856]) ).
tcf(c_210605,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_210604,c_210267]) ).
tcf(c_210609,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_210546,c_198856]) ).
tcf(c_210610,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_210609,c_210267]) ).
tcf(c_210613,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_210555,c_198853]) ).
tcf(c_210614,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_210613,c_210267]) ).
tcf(c_210618,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_210563,c_198856]) ).
tcf(c_210619,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_210618,c_210267]) ).
tcf(c_210623,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_210560,c_198856]) ).
tcf(c_210624,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_210623,c_210267]) ).
tcf(c_210628,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_210559,c_198856]) ).
tcf(c_210629,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_210628,c_210267]) ).
tcf(c_210633,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_210543,c_198853]) ).
tcf(c_210634,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_210633,c_210267]) ).
tcf(c_210639,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_210554,c_198853,c_198856]) ).
tcf(c_210640,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_210639,c_210267]) ).
tcf(c_210645,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_210542,c_198853,c_198856]) ).
tcf(c_210646,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_210645,c_210267]) ).
tcf(c_210651,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_210571,c_198853,c_198856]) ).
tcf(c_210652,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_210651,c_210267]) ).
tcf(c_210655,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_210562,c_198856]) ).
tcf(c_210656,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_210655,c_210267]) ).
tcf(c_210660,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_210561,c_198856]) ).
tcf(c_210661,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_210660,c_210267]) ).
tcf(c_210665,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_210558,c_198856]) ).
tcf(c_210666,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_210665,c_210267]) ).
tcf(c_210671,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_210557,c_198856]) ).
tcf(c_210672,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_210671,c_210267]) ).
tcf(c_210677,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_210570,c_198853,c_198856]) ).
tcf(c_210678,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_210677,c_210267]) ).
tcf(c_210682,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_210552,c_198853,c_198856]) ).
tcf(c_210683,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_210682,c_210267]) ).
tcf(c_210687,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_210553,c_198853,c_198856]) ).
tcf(c_210688,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_210687,c_210267]) ).
tcf(c_210695,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_210551,c_198853,c_198856]) ).
tcf(c_210696,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_210695,c_210267]) ).
tcf(c_210777,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_210574,c_170220]) ).
tcf(c_210778,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_210574,c_169792]) ).
tcf(c_210780,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_210574,c_169483]) ).
tcf(c_210782,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_210574,c_167885]) ).
tcf(c_210826,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_169060,c_196494]) ).
tcf(c_210827,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_169061,c_196494]) ).
tcf(c_210828,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_185884,c_196494]) ).
tcf(c_210846,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_172929,c_196494]) ).
tcf(c_210856,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_203603,c_196494]) ).
tcf(c_210857,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_195681,c_196494]) ).
tcf(c_210858,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_196074,c_196494]) ).
tcf(c_210859,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_209421,c_196494]) ).
tcf(c_210860,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_206575,c_196494]) ).
tcf(c_210861,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_197500,c_196494]) ).
tcf(c_210862,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_210861,c_185]) ).
tcf(c_210908,plain,
sK22(sK14(sK14(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_199843]) ).
tcf(c_210909,plain,
sK22(sK14(sK14(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_199843]) ).
tcf(c_210910,plain,
sK22(sK14(sK14(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_199843]) ).
tcf(c_210911,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_199843]) ).
tcf(c_210912,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_199843]) ).
tcf(c_210962,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_170628,c_205101]) ).
tcf(c_211041,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_170628,c_205103]) ).
tcf(c_211053,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_170628,c_205110]) ).
tcf(c_211065,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_170628,c_205111]) ).
tcf(c_211070,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_210908,c_184211]) ).
tcf(c_211071,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_210908,c_168660]) ).
tcf(c_211072,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_210908,c_178236]) ).
tcf(c_211073,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_210908,c_168563]) ).
tcf(c_211074,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_210908,c_253]) ).
tcf(c_211076,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_211072,c_210908]) ).
tcf(c_211077,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_211076,c_168112]) ).
tcf(c_211083,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_210910,c_184211]) ).
tcf(c_211084,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_210910,c_168660]) ).
tcf(c_211085,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_210910,c_178236]) ).
tcf(c_211086,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_210910,c_168563]) ).
tcf(c_211087,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_210910,c_253]) ).
tcf(c_211089,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_211085,c_210910]) ).
tcf(c_211090,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_211089,c_168112]) ).
tcf(c_211097,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_210582,c_1176]) ).
tcf(c_211098,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_210582,c_151]) ).
tcf(c_211104,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_210582,c_8232]) ).
tcf(c_211109,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_211104,c_210267]) ).
tcf(c_211122,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_168266,c_205127]) ).
tcf(c_211125,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_170628,c_205127]) ).
tcf(c_211126,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_171942,c_205127]) ).
tcf(c_211127,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_175352,c_205127]) ).
tcf(c_211178,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_168266,c_205129]) ).
tcf(c_211181,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_170628,c_205129]) ).
tcf(c_211182,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_171942,c_205129]) ).
tcf(c_211183,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_175352,c_205129]) ).
tcf(c_211222,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_210575,c_1176]) ).
tcf(c_211223,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_210575,c_151]) ).
tcf(c_211227,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_210575,c_8246]) ).
tcf(c_211228,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_210575,c_8233]) ).
tcf(c_211249,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_210909,c_184211]) ).
tcf(c_211250,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_210909,c_168660]) ).
tcf(c_211251,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_210909,c_178236]) ).
tcf(c_211252,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_210909,c_168563]) ).
tcf(c_211253,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_210909,c_253]) ).
tcf(c_211255,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_211251,c_210909]) ).
tcf(c_211256,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_211255,c_168112]) ).
tcf(c_211272,plain,
sK22(sK14(sK14(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_199844]) ).
tcf(c_211273,plain,
sK22(sK14(sK14(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_199844]) ).
tcf(c_211274,plain,
sK22(sK14(sK14(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_199844]) ).
tcf(c_211275,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_199844]) ).
tcf(c_211276,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_199844]) ).
tcf(c_211302,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_211272,c_184211]) ).
tcf(c_211303,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_211272,c_168660]) ).
tcf(c_211304,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_211272,c_178236]) ).
tcf(c_211305,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_211272,c_168563]) ).
tcf(c_211306,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_211272,c_253]) ).
tcf(c_211308,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_211304,c_211272]) ).
tcf(c_211309,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_211308,c_168112]) ).
tcf(c_211348,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_211273,c_184211]) ).
tcf(c_211349,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_211273,c_168660]) ).
tcf(c_211350,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_211273,c_178236]) ).
tcf(c_211351,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_211273,c_168563]) ).
tcf(c_211352,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_211273,c_253]) ).
tcf(c_211354,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_211350,c_211273]) ).
tcf(c_211355,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_211354,c_168112]) ).
tcf(c_211367,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_170634,c_206151]) ).
tcf(c_211368,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_170628,c_206151]) ).
tcf(c_211381,plain,
~ r1_tarski(iPr_def_32,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_208481,c_218,c_11021,c_58251]) ).
tcf(c_211392,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_210576,c_170897]) ).
tcf(c_211396,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_211392,c_174072,c_210574]) ).
tcf(c_211400,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_211274,c_184211]) ).
tcf(c_211401,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_211274,c_168660]) ).
tcf(c_211402,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_211274,c_178236]) ).
tcf(c_211403,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_211274,c_168563]) ).
tcf(c_211404,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_211274,c_253]) ).
tcf(c_211406,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_211402,c_211274]) ).
tcf(c_211407,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_211406,c_168112]) ).
tcf(c_211425,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_170634,c_206166]) ).
tcf(c_211426,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_170628,c_206166]) ).
tcf(c_211427,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_171942,c_206166]) ).
tcf(c_211462,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_170634,c_206168]) ).
tcf(c_211463,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_170628,c_206168]) ).
tcf(c_211464,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_171942,c_206168]) ).
tcf(c_211534,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_170634,c_206170]) ).
tcf(c_211535,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_170628,c_206170]) ).
tcf(c_211536,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_171942,c_206170]) ).
tcf(c_211565,plain,
sK22(sK14(sK10(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_199903]) ).
tcf(c_211566,plain,
sK22(sK14(sK10(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_199903]) ).
tcf(c_211567,plain,
sK22(sK14(sK10(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_199903]) ).
tcf(c_211568,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_199903]) ).
tcf(c_211569,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_199903]) ).
tcf(c_211581,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_211565,c_184211]) ).
tcf(c_211582,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_211565,c_168660]) ).
tcf(c_211583,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_211565,c_178236]) ).
tcf(c_211584,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_211565,c_168563]) ).
tcf(c_211585,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_211565,c_253]) ).
tcf(c_211587,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_211583,c_211565]) ).
tcf(c_211588,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_211587,c_168112]) ).
tcf(c_211594,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_211566,c_184211]) ).
tcf(c_211595,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_211566,c_168660]) ).
tcf(c_211596,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_211566,c_178236]) ).
tcf(c_211597,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_211566,c_168563]) ).
tcf(c_211598,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_211566,c_253]) ).
tcf(c_211600,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_211596,c_211566]) ).
tcf(c_211601,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_211600,c_168112]) ).
tcf(c_211611,plain,
sK22(sK14(sK10(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_199904]) ).
tcf(c_211612,plain,
sK22(sK14(sK10(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_199904]) ).
tcf(c_211613,plain,
sK22(sK14(sK10(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_199904]) ).
tcf(c_211614,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_199904]) ).
tcf(c_211615,plain,
! [X0: $i] :
( ( sK22(sK14(sK10(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_199904]) ).
tcf(c_211643,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_211611,c_184211]) ).
tcf(c_211644,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_211611,c_168660]) ).
tcf(c_211645,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_211611,c_178236]) ).
tcf(c_211646,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_211611,c_168563]) ).
tcf(c_211647,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_211611,c_253]) ).
tcf(c_211649,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_211645,c_211611]) ).
tcf(c_211650,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_211649,c_168112]) ).
tcf(c_211660,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_211567,c_184211]) ).
tcf(c_211661,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_211567,c_168660]) ).
tcf(c_211662,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_211567,c_178236]) ).
tcf(c_211663,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_211567,c_168563]) ).
tcf(c_211664,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_211567,c_253]) ).
tcf(c_211666,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_211662,c_211567]) ).
tcf(c_211667,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_211666,c_168112]) ).
tcf(c_211673,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_211613,c_184211]) ).
tcf(c_211674,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_211613,c_168660]) ).
tcf(c_211675,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_211613,c_178236]) ).
tcf(c_211676,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_211613,c_168563]) ).
tcf(c_211677,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_211613,c_253]) ).
tcf(c_211679,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_211675,c_211613]) ).
tcf(c_211680,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_211679,c_168112]) ).
tcf(c_211706,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_209211,c_298]) ).
tcf(c_211722,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_210258,c_60]) ).
tcf(c_211724,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_210258,c_293]) ).
tcf(c_211746,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_211612,c_184211]) ).
tcf(c_211747,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_211612,c_168660]) ).
tcf(c_211748,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_211612,c_178236]) ).
tcf(c_211749,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_211612,c_168563]) ).
tcf(c_211750,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_211612,c_253]) ).
tcf(c_211752,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_211748,c_211612]) ).
tcf(c_211753,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_211752,c_168112]) ).
tcf(c_211763,plain,
sK22(sK10(sK14(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_200097]) ).
tcf(c_211764,plain,
sK22(sK10(sK14(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_200097]) ).
tcf(c_211765,plain,
sK22(sK10(sK14(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_200097]) ).
tcf(c_211766,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_200097]) ).
tcf(c_211767,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_200097]) ).
tcf(c_211816,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_211763,c_184211]) ).
tcf(c_211817,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_211763,c_168660]) ).
tcf(c_211818,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_211763,c_178236]) ).
tcf(c_211819,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_211763,c_168563]) ).
tcf(c_211820,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_211763,c_253]) ).
tcf(c_211822,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_211818,c_211763]) ).
tcf(c_211823,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_211822,c_168112]) ).
tcf(c_211845,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_211764,c_184211]) ).
tcf(c_211846,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_211764,c_168660]) ).
tcf(c_211847,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_211764,c_178236]) ).
tcf(c_211848,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_211764,c_168563]) ).
tcf(c_211849,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_211764,c_253]) ).
tcf(c_211851,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_211847,c_211764]) ).
tcf(c_211852,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_211851,c_168112]) ).
tcf(c_211870,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_211765,c_184211]) ).
tcf(c_211871,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_211765,c_168660]) ).
tcf(c_211872,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_211765,c_178236]) ).
tcf(c_211873,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_211765,c_168563]) ).
tcf(c_211874,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_211765,c_253]) ).
tcf(c_211876,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_211872,c_211765]) ).
tcf(c_211877,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_211876,c_168112]) ).
tcf(c_211933,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_8212,c_180516]) ).
tcf(c_211934,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_8214,c_180516]) ).
tcf(c_211935,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_8222,c_180516]) ).
tcf(c_211944,plain,
sK22(sK10(sK14(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_200098]) ).
tcf(c_211945,plain,
sK22(sK10(sK14(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_200098]) ).
tcf(c_211946,plain,
sK22(sK10(sK14(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_200098]) ).
tcf(c_211947,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_200098]) ).
tcf(c_211948,plain,
! [X0: $i] :
( ( sK22(sK10(sK14(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_200098]) ).
tcf(c_211953,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_211944,c_184211]) ).
tcf(c_211954,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_211944,c_168660]) ).
tcf(c_211955,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_211944,c_178236]) ).
tcf(c_211956,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_211944,c_168563]) ).
tcf(c_211957,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_211944,c_253]) ).
tcf(c_211959,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_211955,c_211944]) ).
tcf(c_211960,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_211959,c_168112]) ).
tcf(c_211974,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_211945,c_184211]) ).
tcf(c_211975,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_211945,c_168660]) ).
tcf(c_211976,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_211945,c_178236]) ).
tcf(c_211977,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_211945,c_168563]) ).
tcf(c_211978,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_211945,c_253]) ).
tcf(c_211980,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_211976,c_211945]) ).
tcf(c_211981,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_211980,c_168112]) ).
tcf(c_211991,plain,
sK22(sK10(sK10(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_200149]) ).
tcf(c_211992,plain,
sK22(sK10(sK10(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_200149]) ).
tcf(c_211993,plain,
sK22(sK10(sK10(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_200149]) ).
tcf(c_211994,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_200149]) ).
tcf(c_211995,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_200149]) ).
tcf(c_212027,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_211991,c_184211]) ).
tcf(c_212028,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_211991,c_168660]) ).
tcf(c_212029,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_211991,c_178236]) ).
tcf(c_212030,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_211991,c_168563]) ).
tcf(c_212031,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_211991,c_253]) ).
tcf(c_212033,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_212029,c_211991]) ).
tcf(c_212034,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_212033,c_168112]) ).
tcf(c_212040,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_211946,c_184211]) ).
tcf(c_212041,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_211946,c_168660]) ).
tcf(c_212042,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_211946,c_178236]) ).
tcf(c_212043,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_211946,c_168563]) ).
tcf(c_212044,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_211946,c_253]) ).
tcf(c_212046,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_212042,c_211946]) ).
tcf(c_212047,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_212046,c_168112]) ).
tcf(c_212053,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_211993,c_184211]) ).
tcf(c_212054,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_211993,c_168660]) ).
tcf(c_212055,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_211993,c_178236]) ).
tcf(c_212056,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_211993,c_168563]) ).
tcf(c_212057,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_211993,c_253]) ).
tcf(c_212059,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_212055,c_211993]) ).
tcf(c_212060,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_212059,c_168112]) ).
tcf(c_212090,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_168436,c_196504]) ).
tcf(c_212091,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_168389,c_196504]) ).
tcf(c_212092,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_168397,c_196504]) ).
tcf(c_212093,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_168435,c_196504]) ).
tcf(c_212095,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_201107,c_196504]) ).
tcf(c_212096,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_192817,c_196504]) ).
tcf(c_212097,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_186159,c_196504]) ).
tcf(c_212098,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_174623,c_196504]) ).
tcf(c_212099,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_168783,c_196504]) ).
tcf(c_212100,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_201149,c_196504]) ).
tcf(c_212101,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_192970,c_196504]) ).
tcf(c_212102,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_186200,c_196504]) ).
tcf(c_212103,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_174651,c_196504]) ).
tcf(c_212104,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_168960,c_196504]) ).
tcf(c_212105,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_169395,c_196504]) ).
tcf(c_212106,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_201009,c_196504]) ).
tcf(c_212107,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_185810,c_196504]) ).
tcf(c_212108,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_174444,c_196504]) ).
tcf(c_212109,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_169723,c_196504]) ).
tcf(c_212110,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_201035,c_196504]) ).
tcf(c_212111,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_186095,c_196504]) ).
tcf(c_212112,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_174484,c_196504]) ).
tcf(c_212113,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_169942,c_196504]) ).
tcf(c_212114,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_201061,c_196504]) ).
tcf(c_212115,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_186121,c_196504]) ).
tcf(c_212116,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_174571,c_196504]) ).
tcf(c_212117,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_169968,c_196504]) ).
tcf(c_212118,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_168380,c_196504]) ).
tcf(c_212119,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_168375,c_196504]) ).
tcf(c_212120,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_171942,c_196504]) ).
tcf(c_212121,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_168370,c_196504]) ).
tcf(c_212122,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_178116,c_196504]) ).
tcf(c_212123,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_194181,c_196504]) ).
tcf(c_212124,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_192418,c_196504]) ).
tcf(c_212125,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_192551,c_196504]) ).
tcf(c_212126,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_193509,c_196504]) ).
tcf(c_212127,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_193716,c_196504]) ).
tcf(c_212128,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_194002,c_196504]) ).
tcf(c_212129,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_194654,c_196504]) ).
tcf(c_212130,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_194816,c_196504]) ).
tcf(c_212131,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_198816,c_196504]) ).
tcf(c_212132,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_8223,c_196504]) ).
tcf(c_212133,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_170219,c_196504]) ).
tcf(c_212134,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_176041,c_196504]) ).
tcf(c_212135,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_212132,c_8225]) ).
tcf(c_212136,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_212135,c_8253]) ).
tcf(c_212140,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_212134,c_176042]) ).
tcf(c_212141,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_212140,c_176018]) ).
tcf(c_212145,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_212133,c_169791]) ).
tcf(c_212146,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_212145,c_172]) ).
tcf(c_212157,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_212130,c_190]) ).
tcf(c_212161,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_212129,c_190]) ).
tcf(c_212165,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_212128,c_179619]) ).
tcf(c_212185,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_212123,c_180958]) ).
tcf(c_212302,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_212121,c_8241]) ).
tcf(c_212308,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_212119,c_8239]) ).
tcf(c_212314,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_212118,c_8237]) ).
tcf(c_212539,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_8225,c_203112]) ).
tcf(c_212540,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_176042,c_203112]) ).
tcf(c_212541,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_169791,c_203112]) ).
tcf(c_212542,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_198853,c_203112]) ).
tcf(c_212543,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_212539,c_8223]) ).
tcf(c_212544,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_212540,c_176041]) ).
tcf(c_212545,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_212541,c_170219]) ).
tcf(c_212546,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_212542,c_198856]) ).
tcf(c_212547,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_212546,c_210267]) ).
tcf(c_212557,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_8225,c_203250]) ).
tcf(c_212558,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_176042,c_203250]) ).
tcf(c_212559,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_169791,c_203250]) ).
tcf(c_212560,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_198853,c_203250]) ).
tcf(c_212561,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_212557,c_8223]) ).
tcf(c_212562,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_212558,c_176041]) ).
tcf(c_212563,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_212562,c_176018]) ).
tcf(c_212566,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_212559,c_170219]) ).
tcf(c_212567,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_212566,c_172]) ).
tcf(c_212570,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_212560,c_198856]) ).
tcf(c_212571,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_212570,c_210267]) ).
tcf(c_212627,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_198856,c_172937]) ).
tcf(c_212628,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_198856,c_191778]) ).
tcf(c_212629,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_198856,c_191581]) ).
tcf(c_212630,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_198856,c_189286]) ).
tcf(c_212631,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_198856,c_187671]) ).
tcf(c_212632,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_198856,c_185220]) ).
tcf(c_212633,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_198856,c_185136]) ).
tcf(c_212634,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_198856,c_185051]) ).
tcf(c_212635,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_198856,c_184736]) ).
tcf(c_212636,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_198856,c_184626]) ).
tcf(c_212637,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_198856,c_184536]) ).
tcf(c_212638,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_198856,c_181546]) ).
tcf(c_212639,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_198856,c_181454]) ).
tcf(c_212640,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_198856,c_181370]) ).
tcf(c_212641,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_198856,c_181228]) ).
tcf(c_212642,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_198856,c_180726]) ).
tcf(c_212643,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_198856,c_180676]) ).
tcf(c_212644,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_198856,c_180441]) ).
tcf(c_212645,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_198856,c_180314]) ).
tcf(c_212646,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_198856,c_180246]) ).
tcf(c_212647,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_198856,c_180149]) ).
tcf(c_212648,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_198856,c_180069]) ).
tcf(c_212650,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_198856,c_179346]) ).
tcf(c_212651,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_198856,c_179247]) ).
tcf(c_212652,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_198856,c_185884]) ).
tcf(c_212653,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_198856,c_176839]) ).
tcf(c_212654,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_198856,c_180601]) ).
tcf(c_212655,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_198856,c_175460]) ).
tcf(c_212656,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_198856,c_175348]) ).
tcf(c_212657,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_198856,c_175075]) ).
tcf(c_212658,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_198856,c_168655]) ).
tcf(c_212659,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_198856,c_174048]) ).
tcf(c_212660,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_198856,c_169395]) ).
tcf(c_212661,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_198856,c_171650]) ).
tcf(c_212662,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_198856,c_170450]) ).
tcf(c_212663,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_198856,c_169322]) ).
tcf(c_212664,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_198856,c_169321]) ).
tcf(c_212665,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_198856,c_169316]) ).
tcf(c_212666,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_198856,c_169062]) ).
tcf(c_212667,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_198856,c_168241]) ).
tcf(c_212668,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_198856,c_168084]) ).
tcf(c_212669,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_198856,c_168060]) ).
tcf(c_212670,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_198856,c_8262]) ).
tcf(c_212671,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_198856,c_196504]) ).
tcf(c_212672,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_198856,c_169423]) ).
tcf(c_212673,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_198856,c_169314]) ).
tcf(c_212674,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_212669,c_210267]) ).
tcf(c_212675,plain,
r2_hidden(k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30)),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_212658,c_210267]) ).
tcf(c_212676,plain,
~ r2_hidden(iPr_def_18,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(forward_subsumption_resolution,[status(thm)],[c_212653,c_210267]) ).
tcf(c_212679,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_212652,c_210267]) ).
tcf(c_212683,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_212666,c_198853]) ).
tcf(c_212685,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_212665,c_198853]) ).
tcf(c_212687,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_212657,c_198853]) ).
tcf(c_212688,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_212687,c_210267]) ).
tcf(c_212691,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_212656,c_198853]) ).
tcf(c_212692,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_212691,c_210267]) ).
tcf(c_212695,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_212655,c_198853]) ).
tcf(c_212696,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_212695,c_210267]) ).
tcf(c_212699,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_212673,c_198853]) ).
tcf(c_212700,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_212699,c_210267]) ).
tcf(c_212703,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_212660,c_198853]) ).
tcf(c_212704,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_212703,c_210267]) ).
tcf(c_212707,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_212651,c_198853]) ).
tcf(c_212708,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_212707,c_210267]) ).
tcf(c_212711,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_212650,c_198853]) ).
tcf(c_212712,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_212711,c_210267]) ).
tcf(c_212719,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_212648,c_198853]) ).
tcf(c_212720,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_212719,c_210267]) ).
tcf(c_212723,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_212647,c_198853]) ).
tcf(c_212724,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_212723,c_210267]) ).
tcf(c_212727,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_212646,c_198853]) ).
tcf(c_212728,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_212727,c_210267]) ).
tcf(c_212731,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_212645,c_198853]) ).
tcf(c_212732,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_212731,c_210267]) ).
tcf(c_212735,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_212644,c_198853]) ).
tcf(c_212736,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_212735,c_210267]) ).
tcf(c_212739,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_212643,c_198853]) ).
tcf(c_212740,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_212739,c_210267]) ).
tcf(c_212743,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_212642,c_198853]) ).
tcf(c_212744,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_212743,c_210267]) ).
tcf(c_212747,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_212641,c_198853]) ).
tcf(c_212748,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_212747,c_210267]) ).
tcf(c_212751,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_212640,c_198853]) ).
tcf(c_212752,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_212751,c_210267]) ).
tcf(c_212755,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_212639,c_198853]) ).
tcf(c_212756,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_212755,c_210267]) ).
tcf(c_212759,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_212638,c_198853]) ).
tcf(c_212760,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_212759,c_210267]) ).
tcf(c_212763,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_212637,c_198853]) ).
tcf(c_212764,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_212763,c_210267]) ).
tcf(c_212767,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_212636,c_198853]) ).
tcf(c_212768,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_212767,c_210267]) ).
tcf(c_212771,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_212635,c_198853]) ).
tcf(c_212772,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_212771,c_210267]) ).
tcf(c_212775,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_212634,c_198853]) ).
tcf(c_212776,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_212775,c_210267]) ).
tcf(c_212779,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_212633,c_198853]) ).
tcf(c_212780,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_212779,c_210267]) ).
tcf(c_212783,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_212632,c_198853]) ).
tcf(c_212784,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_212783,c_210267]) ).
tcf(c_212787,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_212631,c_198853]) ).
tcf(c_212788,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_212787,c_210267]) ).
tcf(c_212791,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_212630,c_198853]) ).
tcf(c_212792,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_212791,c_210267]) ).
tcf(c_212795,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_212629,c_198853]) ).
tcf(c_212796,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_212795,c_210267]) ).
tcf(c_212799,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_212628,c_198853]) ).
tcf(c_212800,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_212799,c_210267]) ).
tcf(c_212803,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_212671,c_198853]) ).
tcf(c_212804,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_212803,c_210267]) ).
tcf(c_212810,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_212662,c_198853,c_198856]) ).
tcf(c_212811,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_212810,c_210267]) ).
tcf(c_212821,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_212654,c_198853,c_198856]) ).
tcf(c_212822,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_212821,c_210267]) ).
tcf(c_212829,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_212659,c_198853,c_198856]) ).
tcf(c_212830,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_212829,c_210267]) ).
tcf(c_212991,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_212674,c_169840]) ).
tcf(c_212992,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_212674,c_169538]) ).
tcf(c_212993,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_211992,c_184211]) ).
tcf(c_212994,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_211992,c_168660]) ).
tcf(c_212995,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_211992,c_178236]) ).
tcf(c_212996,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_211992,c_168563]) ).
tcf(c_212997,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_211992,c_253]) ).
tcf(c_212999,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_212995,c_211992]) ).
tcf(c_213000,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_212999,c_168112]) ).
tcf(c_213010,plain,
sK22(sK10(sK10(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_200150]) ).
tcf(c_213011,plain,
sK22(sK10(sK10(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_200150]) ).
tcf(c_213012,plain,
sK22(sK10(sK10(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_200150]) ).
tcf(c_213013,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_200150]) ).
tcf(c_213014,plain,
! [X0: $i] :
( ( sK22(sK10(sK10(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_200150]) ).
tcf(c_213086,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_213010,c_184211]) ).
tcf(c_213087,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_213010,c_168660]) ).
tcf(c_213088,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_213010,c_178236]) ).
tcf(c_213089,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_213010,c_168563]) ).
tcf(c_213090,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_213010,c_253]) ).
tcf(c_213092,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_213088,c_213010]) ).
tcf(c_213093,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_213092,c_168112]) ).
tcf(c_213100,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_212675,c_1176]) ).
tcf(c_213101,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_212675,c_151]) ).
tcf(c_213105,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_212675,c_8246]) ).
tcf(c_213106,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_212675,c_8233]) ).
tcf(c_213111,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_213106,c_170458,c_8255]) ).
tcf(c_213112,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_213105,c_212991,c_212992]) ).
tcf(c_213113,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_213112,c_173701]) ).
tcf(c_213116,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_213012,c_184211]) ).
tcf(c_213117,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_213012,c_168660]) ).
tcf(c_213118,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_213012,c_178236]) ).
tcf(c_213119,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_213012,c_168563]) ).
tcf(c_213120,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_213012,c_253]) ).
tcf(c_213122,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_213118,c_213012]) ).
tcf(c_213123,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_213122,c_168112]) ).
tcf(c_213136,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_8225,c_204512]) ).
tcf(c_213137,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_176042,c_204512]) ).
tcf(c_213138,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_169791,c_204512]) ).
tcf(c_213139,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_198853,c_204512]) ).
tcf(c_213140,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_213136,c_8223]) ).
tcf(c_213141,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_213140,c_8253]) ).
tcf(c_213144,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_213137,c_176041]) ).
tcf(c_213145,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_213138,c_170219]) ).
tcf(c_213146,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_213145,c_172]) ).
tcf(c_213149,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_213139,c_198856]) ).
tcf(c_213150,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_213149,c_210267]) ).
tcf(c_213153,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_206663,c_44149,c_45349,c_53514]) ).
tcf(c_213166,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_8225,c_207483]) ).
tcf(c_213167,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_176042,c_207483]) ).
tcf(c_213168,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_169791,c_207483]) ).
tcf(c_213169,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_198853,c_207483]) ).
tcf(c_213170,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_213166,c_8223]) ).
tcf(c_213171,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_213167,c_176041]) ).
tcf(c_213172,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_213171,c_176018]) ).
tcf(c_213175,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_213168,c_170219]) ).
tcf(c_213176,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_213175,c_172]) ).
tcf(c_213179,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_213169,c_198856]) ).
tcf(c_213180,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_213179,c_210267]) ).
tcf(c_213211,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_8225,c_209580]) ).
tcf(c_213212,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_176042,c_209580]) ).
tcf(c_213213,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_169791,c_209580]) ).
tcf(c_213214,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_198853,c_209580]) ).
tcf(c_213215,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_213211,c_8223]) ).
tcf(c_213216,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_213212,c_176041]) ).
tcf(c_213217,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_213213,c_170219]) ).
tcf(c_213218,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_213214,c_198856]) ).
tcf(c_213219,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_213218,c_210267]) ).
tcf(c_213229,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_8212,c_169924]) ).
tcf(c_213230,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_8214,c_169924]) ).
tcf(c_213231,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_8222,c_169924]) ).
tcf(c_213242,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_8212,c_169925]) ).
tcf(c_213243,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_8214,c_169925]) ).
tcf(c_213244,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_8222,c_169925]) ).
tcf(c_213248,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_213011,c_184211]) ).
tcf(c_213249,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_213011,c_168660]) ).
tcf(c_213250,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_213011,c_178236]) ).
tcf(c_213251,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_213011,c_168563]) ).
tcf(c_213252,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_213011,c_253]) ).
tcf(c_213254,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_213250,c_213011]) ).
tcf(c_213255,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_213254,c_168112]) ).
tcf(c_213270,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_169060,c_203101]) ).
tcf(c_213271,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_169061,c_203101]) ).
tcf(c_213272,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_185884,c_203101]) ).
tcf(c_213302,plain,
~ r1_tarski(iPr_def_21,k2_tex_4(sK2,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_195681,c_203101]) ).
tcf(c_213303,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_196074,c_203101]) ).
tcf(c_213305,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_206575,c_203101]) ).
tcf(c_213354,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_169060,c_203239]) ).
tcf(c_213355,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_169061,c_203239]) ).
tcf(c_213356,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_185884,c_203239]) ).
tcf(c_213384,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_203603,c_203239]) ).
tcf(c_213386,plain,
~ r1_tarski(iPr_def_19,k2_tex_4(sK3,sK12(iPr_def_18))),
inference(superposition,[status(thm)],[c_196074,c_203239]) ).
tcf(c_213387,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_209421,c_203239]) ).
tcf(c_213448,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_168436,c_203411]) ).
tcf(c_213449,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_168389,c_203411]) ).
tcf(c_213450,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_168397,c_203411]) ).
tcf(c_213451,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_168435,c_203411]) ).
tcf(c_213453,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_201107,c_203411]) ).
tcf(c_213454,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_192817,c_203411]) ).
tcf(c_213455,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_186159,c_203411]) ).
tcf(c_213456,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_174623,c_203411]) ).
tcf(c_213457,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_168783,c_203411]) ).
tcf(c_213458,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_201149,c_203411]) ).
tcf(c_213459,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_192970,c_203411]) ).
tcf(c_213460,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_186200,c_203411]) ).
tcf(c_213461,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_174651,c_203411]) ).
tcf(c_213462,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_168960,c_203411]) ).
tcf(c_213463,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_169395,c_203411]) ).
tcf(c_213464,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_201009,c_203411]) ).
tcf(c_213465,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_185810,c_203411]) ).
tcf(c_213466,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_174444,c_203411]) ).
tcf(c_213467,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_169723,c_203411]) ).
tcf(c_213468,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_201035,c_203411]) ).
tcf(c_213469,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_186095,c_203411]) ).
tcf(c_213470,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_174484,c_203411]) ).
tcf(c_213471,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_169942,c_203411]) ).
tcf(c_213472,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_201061,c_203411]) ).
tcf(c_213473,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_186121,c_203411]) ).
tcf(c_213474,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_174571,c_203411]) ).
tcf(c_213475,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_169968,c_203411]) ).
tcf(c_213476,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_168380,c_203411]) ).
tcf(c_213477,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_168375,c_203411]) ).
tcf(c_213478,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_171942,c_203411]) ).
tcf(c_213479,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_168370,c_203411]) ).
tcf(c_213480,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_178116,c_203411]) ).
tcf(c_213481,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_194181,c_203411]) ).
tcf(c_213482,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_192418,c_203411]) ).
tcf(c_213483,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_192551,c_203411]) ).
tcf(c_213484,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_193509,c_203411]) ).
tcf(c_213485,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_193716,c_203411]) ).
tcf(c_213486,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_194002,c_203411]) ).
tcf(c_213487,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_194654,c_203411]) ).
tcf(c_213488,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_194816,c_203411]) ).
tcf(c_213489,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_198816,c_203411]) ).
tcf(c_213495,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_213448,c_185]) ).
tcf(c_213501,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_213488,c_190]) ).
tcf(c_213504,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_213487,c_190]) ).
tcf(c_213507,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_213486,c_179619]) ).
tcf(c_213522,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_213481,c_180958]) ).
tcf(c_213612,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_213479,c_8241]) ).
tcf(c_213617,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_213477,c_8239]) ).
tcf(c_213622,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_213476,c_8237]) ).
tcf(c_213863,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_198890,c_198849,c_198853]) ).
tcf(c_213874,plain,
sK12(k1_zfmisc_1(sK22(sK14(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_203800]) ).
tcf(c_213875,plain,
sK12(k1_zfmisc_1(sK22(sK14(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_203800]) ).
tcf(c_213876,plain,
sK12(k1_zfmisc_1(sK22(sK14(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_203800]) ).
tcf(c_213877,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK14(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_203800]) ).
tcf(c_213878,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK14(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_203800]) ).
tcf(c_213890,plain,
sK12(k1_zfmisc_1(sK22(sK10(sK2)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_203801]) ).
tcf(c_213891,plain,
sK12(k1_zfmisc_1(sK22(sK10(sK8)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_203801]) ).
tcf(c_213892,plain,
sK12(k1_zfmisc_1(sK22(sK10(sK3)))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_203801]) ).
tcf(c_213893,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK10(sK14(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_203801]) ).
tcf(c_213894,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(sK22(sK10(sK10(X0))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_203801]) ).
tcf(c_213920,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_204139,c_1176]) ).
tcf(c_213921,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_204139,c_151]) ).
tcf(c_213922,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_204139,c_60]) ).
tcf(c_213925,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_204139,c_8246]) ).
tcf(c_213926,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_204139,c_8233]) ).
tcf(c_213927,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_204139,c_8245]) ).
tcf(c_213928,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_204139,c_8232]) ).
tcf(c_213929,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_204139,c_168239]) ).
tcf(c_213930,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_204139,c_168240]) ).
tcf(c_213931,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_204139,c_168243]) ).
tcf(c_213932,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_204139,c_168265]) ).
tcf(c_213933,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_204139,c_203101]) ).
tcf(c_213935,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_204139,c_169314]) ).
tcf(c_213936,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_204139,c_181445]) ).
tcf(c_213938,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_204139,c_172930]) ).
tcf(c_213939,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_204139,c_179238]) ).
tcf(c_213942,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_204139,c_180060]) ).
tcf(c_213943,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_204139,c_180140]) ).
tcf(c_213944,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_204139,c_180237]) ).
tcf(c_213948,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_204139,c_180717]) ).
tcf(c_213949,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_204139,c_181219]) ).
tcf(c_213950,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_204139,c_181537]) ).
tcf(c_213951,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_204139,c_184526]) ).
tcf(c_213952,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_204139,c_184616]) ).
tcf(c_213953,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_204139,c_196494]) ).
tcf(c_213954,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_204139,c_184726]) ).
tcf(c_213955,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_204139,c_185041]) ).
tcf(c_213959,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_204139,c_189275]) ).
tcf(c_213960,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_204139,c_191571]) ).
tcf(c_213963,plain,
~ r1_tarski(iPr_def_19,k1_funct_1(sK4,iPr_def_30)),
inference(forward_subsumption_resolution,[status(thm)],[c_213931,c_197880]) ).
tcf(c_213997,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_213938,c_204080]) ).
tcf(c_214014,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_213929,c_204081]) ).
tcf(c_214156,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_204223,c_169447]) ).
tcf(c_214159,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_204223,c_170897]) ).
tcf(c_214160,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_204223,c_186605]) ).
tcf(c_214161,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_204223,c_178479]) ).
tcf(c_214162,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_204223,c_168421]) ).
tcf(c_214166,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_204223,c_186607]) ).
tcf(c_214167,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_204223,c_178481]) ).
tcf(c_214168,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_204223,c_168423]) ).
tcf(c_214169,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_204223,c_196504]) ).
tcf(c_214170,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_204223,c_203411]) ).
tcf(c_214171,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_214168,c_8222]) ).
tcf(c_214174,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_214167,c_8222]) ).
tcf(c_214177,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_214162,c_8212]) ).
tcf(c_214180,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_214161,c_8212]) ).
tcf(c_214183,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_214166,c_8222]) ).
tcf(c_214186,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_214160,c_8212]) ).
tcf(c_214192,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_214170,c_195331]) ).
tcf(c_214195,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_214169,c_195331]) ).
tcf(c_214199,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_214159,c_195332]) ).
tcf(c_214354,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_169852,c_185854]) ).
tcf(c_214355,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_169847,c_185854]) ).
tcf(c_214356,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_198087,c_185854]) ).
tcf(c_214357,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_214354,c_169852]) ).
tcf(c_214359,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_214355,c_169847]) ).
tcf(c_214361,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_214356,c_198087]) ).
tcf(c_214371,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_8224,c_185868]) ).
tcf(c_214372,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_169545,c_185868]) ).
tcf(c_214373,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_198088,c_185868]) ).
tcf(c_214374,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_214371,c_8224]) ).
tcf(c_214376,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_214372,c_169545]) ).
tcf(c_214378,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_214373,c_198088]) ).
tcf(c_214406,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_203094,c_185854]) ).
tcf(c_214407,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_203094,c_175079]) ).
tcf(c_214408,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_203094,c_177619]) ).
tcf(c_214409,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_203094,c_169768]) ).
tcf(c_214410,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_203094,c_169760]) ).
tcf(c_214411,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_203094,c_168892]) ).
tcf(c_214412,plain,
~ v1_xboole_0(k2_tex_4(sK3,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_214411,c_202713]) ).
tcf(c_214413,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_214410,c_202713]) ).
tcf(c_214414,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_214409,c_202713]) ).
tcf(c_214415,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_214407,c_202713]) ).
tcf(c_214416,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_214408,c_202713]) ).
tcf(c_214417,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_214406,c_203094]) ).
tcf(c_214418,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_214417,c_202713]) ).
tcf(c_214423,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_214413,c_169848]) ).
tcf(c_214424,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_214413,c_169546]) ).
tcf(c_214426,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_214413,c_170125]) ).
tcf(c_214437,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_204357,c_169447]) ).
tcf(c_214440,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_204357,c_170897]) ).
tcf(c_214444,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_204357,c_186606]) ).
tcf(c_214445,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_204357,c_178480]) ).
tcf(c_214446,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_204357,c_168422]) ).
tcf(c_214447,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_204357,c_186607]) ).
tcf(c_214448,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_204357,c_178481]) ).
tcf(c_214449,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_204357,c_168423]) ).
tcf(c_214450,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_204357,c_196504]) ).
tcf(c_214451,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_204357,c_203411]) ).
tcf(c_214452,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_214449,c_8222]) ).
tcf(c_214455,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_214448,c_8222]) ).
tcf(c_214458,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_214446,c_8214]) ).
tcf(c_214461,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_214445,c_8214]) ).
tcf(c_214464,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_214447,c_8222]) ).
tcf(c_214467,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_214444,c_8214]) ).
tcf(c_214473,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_214451,c_196052]) ).
tcf(c_214476,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_214450,c_196052]) ).
tcf(c_214527,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_169060,c_204502]) ).
tcf(c_214528,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_169061,c_204502]) ).
tcf(c_214529,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_185884,c_204502]) ).
tcf(c_214557,plain,
~ r1_tarski(iPr_def_18,k1_funct_1(sK4,sK12(iPr_def_20))),
inference(superposition,[status(thm)],[c_203603,c_204502]) ).
tcf(c_214560,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_204139,c_204502]) ).
tcf(c_214562,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_206575,c_204502]) ).
tcf(c_214622,plain,
! [X0: $i] :
( m1_subset_1(k1_xboole_0,X0)
| ~ v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_168266,c_203446]) ).
tcf(c_214624,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_170634,c_203446]) ).
tcf(c_214625,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_170628,c_203446]) ).
tcf(c_214641,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_170628,c_205044]) ).
tcf(c_214661,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_170628,c_206085]) ).
tcf(c_214706,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_8225,c_213935]) ).
tcf(c_214707,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_176042,c_213935]) ).
tcf(c_214708,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_169791,c_213935]) ).
tcf(c_214709,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_198853,c_213935]) ).
tcf(c_214710,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_214706,c_8223]) ).
tcf(c_214711,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_214707,c_176041]) ).
tcf(c_214712,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_214708,c_170219]) ).
tcf(c_214713,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_214712,c_172]) ).
tcf(c_214716,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_214709,c_198856]) ).
tcf(c_214717,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_214716,c_210267]) ).
tcf(c_214727,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_8225,c_169420]) ).
tcf(c_214728,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_176042,c_169420]) ).
tcf(c_214729,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_169791,c_169420]) ).
tcf(c_214730,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_198853,c_169420]) ).
tcf(c_214731,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_8223,c_169420]) ).
tcf(c_214732,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_170219,c_169420]) ).
tcf(c_214733,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_176041,c_169420]) ).
tcf(c_214734,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_198856,c_169420]) ).
tcf(c_214735,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_214731,c_8223,c_8225]) ).
tcf(c_214736,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_214735,c_8253]) ).
tcf(c_214739,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_214733,c_176041,c_176042]) ).
tcf(c_214740,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_214739,c_176018]) ).
tcf(c_214747,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_214732,c_169791,c_170219]) ).
tcf(c_214748,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_214747,c_172]) ).
tcf(c_214753,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_214734,c_198853,c_198856]) ).
tcf(c_214754,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_214753,c_210267]) ).
tcf(c_214774,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_214414,c_1176]) ).
tcf(c_214775,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_214414,c_151]) ).
tcf(c_214779,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_214414,c_8246]) ).
tcf(c_214780,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_214414,c_8233]) ).
tcf(c_214855,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_204699,c_169447]) ).
tcf(c_214856,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_204699,c_206050]) ).
tcf(c_214857,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_204699,c_196495]) ).
tcf(c_214858,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_204699,c_170897]) ).
tcf(c_214859,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_204699,c_186605]) ).
tcf(c_214860,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_204699,c_178479]) ).
tcf(c_214861,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_204699,c_168421]) ).
tcf(c_214862,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_204699,c_186606]) ).
tcf(c_214863,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_204699,c_178480]) ).
tcf(c_214864,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_204699,c_168422]) ).
tcf(c_214865,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_204699,c_186607]) ).
tcf(c_214866,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_204699,c_178481]) ).
tcf(c_214867,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_204699,c_168423]) ).
tcf(c_214868,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_204699,c_196504]) ).
tcf(c_214869,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_204699,c_203411]) ).
tcf(c_214870,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_214867,c_8222]) ).
tcf(c_214873,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_214866,c_8222]) ).
tcf(c_214876,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_214864,c_8214]) ).
tcf(c_214879,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_214863,c_8214]) ).
tcf(c_214882,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_214861,c_8212]) ).
tcf(c_214885,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_214860,c_8212]) ).
tcf(c_214888,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_214865,c_8222]) ).
tcf(c_214891,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_214862,c_8214]) ).
tcf(c_214894,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_214859,c_8212]) ).
tcf(c_215004,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_169140,c_206695]) ).
tcf(c_215005,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_169162,c_206695]) ).
tcf(c_215006,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_168563,c_206695]) ).
tcf(c_215008,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_169193,c_206695]) ).
tcf(c_215009,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_168438,c_206695]) ).
tcf(c_215010,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_168439,c_206695]) ).
tcf(c_215011,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_168537,c_206695]) ).
tcf(c_215012,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_168859,c_206695]) ).
tcf(c_215017,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_168389,c_206695]) ).
tcf(c_215018,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_168397,c_206695]) ).
tcf(c_215019,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_32,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_206695]) ).
tcf(c_215021,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_201107,c_206695]) ).
tcf(c_215023,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_186159,c_206695]) ).
tcf(c_215024,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_174623,c_206695]) ).
tcf(c_215025,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_168783,c_206695]) ).
tcf(c_215026,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_201149,c_206695]) ).
tcf(c_215028,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_186200,c_206695]) ).
tcf(c_215029,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_174651,c_206695]) ).
tcf(c_215030,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_168960,c_206695]) ).
tcf(c_215031,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_169395,c_206695]) ).
tcf(c_215033,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_201009,c_206695]) ).
tcf(c_215034,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_185810,c_206695]) ).
tcf(c_215035,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_174444,c_206695]) ).
tcf(c_215036,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_169723,c_206695]) ).
tcf(c_215037,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_201035,c_206695]) ).
tcf(c_215038,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_186095,c_206695]) ).
tcf(c_215039,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_174484,c_206695]) ).
tcf(c_215040,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_169942,c_206695]) ).
tcf(c_215041,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_201061,c_206695]) ).
tcf(c_215042,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_186121,c_206695]) ).
tcf(c_215043,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_174571,c_206695]) ).
tcf(c_215044,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_169968,c_206695]) ).
tcf(c_215046,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_170628,c_206695]) ).
tcf(c_215049,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_171942,c_206695]) ).
tcf(c_215091,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_178116,c_206695]) ).
tcf(c_215129,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_192418,c_206695]) ).
tcf(c_215130,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_192551,c_206695]) ).
tcf(c_215139,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_198816,c_206695]) ).
tcf(c_215140,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_204699,c_206695]) ).
tcf(c_215512,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_168436,c_206740]) ).
tcf(c_215513,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_169140,c_206740]) ).
tcf(c_215514,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_169162,c_206740]) ).
tcf(c_215515,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_168563,c_206740]) ).
tcf(c_215517,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_169193,c_206740]) ).
tcf(c_215518,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_168438,c_206740]) ).
tcf(c_215519,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_168439,c_206740]) ).
tcf(c_215520,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_168537,c_206740]) ).
tcf(c_215521,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_168859,c_206740]) ).
tcf(c_215522,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_169532,c_206740]) ).
tcf(c_215523,plain,
( m1_subset_1(iPr_def_30,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_32,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_206740]) ).
tcf(c_215524,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_168441,c_206740]) ).
tcf(c_215525,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_168442,c_206740]) ).
tcf(c_215526,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_168389,c_206740]) ).
tcf(c_215527,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_168397,c_206740]) ).
tcf(c_215528,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_168435,c_206740]) ).
tcf(c_215530,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_201107,c_206740]) ).
tcf(c_215531,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_192817,c_206740]) ).
tcf(c_215532,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_186159,c_206740]) ).
tcf(c_215533,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_174623,c_206740]) ).
tcf(c_215534,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_168783,c_206740]) ).
tcf(c_215535,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_201149,c_206740]) ).
tcf(c_215536,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_192970,c_206740]) ).
tcf(c_215537,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_186200,c_206740]) ).
tcf(c_215538,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_174651,c_206740]) ).
tcf(c_215539,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_168960,c_206740]) ).
tcf(c_215540,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_169395,c_206740]) ).
tcf(c_215542,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_201009,c_206740]) ).
tcf(c_215543,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_185810,c_206740]) ).
tcf(c_215544,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_174444,c_206740]) ).
tcf(c_215545,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_169723,c_206740]) ).
tcf(c_215546,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_201035,c_206740]) ).
tcf(c_215547,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_186095,c_206740]) ).
tcf(c_215548,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_174484,c_206740]) ).
tcf(c_215549,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_169942,c_206740]) ).
tcf(c_215550,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_201061,c_206740]) ).
tcf(c_215551,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_186121,c_206740]) ).
tcf(c_215552,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_174571,c_206740]) ).
tcf(c_215553,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_169968,c_206740]) ).
tcf(c_215555,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_170628,c_206740]) ).
tcf(c_215556,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_168380,c_206740]) ).
tcf(c_215557,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_168375,c_206740]) ).
tcf(c_215558,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_171942,c_206740]) ).
tcf(c_215559,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_168370,c_206740]) ).
tcf(c_215562,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_206740]) ).
tcf(c_215563,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_175002,c_206740]) ).
tcf(c_215564,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_175027,c_206740]) ).
tcf(c_215579,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_204223,c_206740]) ).
tcf(c_215595,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_206740]) ).
tcf(c_215596,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_32,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_206740]) ).
tcf(c_215597,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_175460,c_206740]) ).
tcf(c_215600,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_178116,c_206740]) ).
tcf(c_215603,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_178134,c_206740]) ).
tcf(c_215605,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_194181,c_206740]) ).
tcf(c_215608,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_181892,c_206740]) ).
tcf(c_215609,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_204357,c_206740]) ).
tcf(c_215611,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_182028,c_206740]) ).
tcf(c_215615,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_182356,c_206740]) ).
tcf(c_215617,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_182535,c_206740]) ).
tcf(c_215619,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_182664,c_206740]) ).
tcf(c_215621,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_182829,c_206740]) ).
tcf(c_215623,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_183020,c_206740]) ).
tcf(c_215625,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_183138,c_206740]) ).
tcf(c_215629,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_183406,c_206740]) ).
tcf(c_215631,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_183567,c_206740]) ).
tcf(c_215633,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_183688,c_206740]) ).
tcf(c_215638,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_192418,c_206740]) ).
tcf(c_215639,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_192551,c_206740]) ).
tcf(c_215640,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_193509,c_206740]) ).
tcf(c_215641,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_193716,c_206740]) ).
tcf(c_215642,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_194002,c_206740]) ).
tcf(c_215643,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_194654,c_206740]) ).
tcf(c_215644,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_194816,c_206740]) ).
tcf(c_215647,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_201209,c_206740]) ).
tcf(c_215648,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_198816,c_206740]) ).
tcf(c_215649,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_204699,c_206740]) ).
tcf(c_216369,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_207104,c_206050]) ).
tcf(c_216370,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_207104,c_196495]) ).
tcf(c_216371,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_207104,c_170897]) ).
tcf(c_216372,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_207104,c_186605]) ).
tcf(c_216373,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X0)),iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_207104,c_178479]) ).
tcf(c_216374,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_19)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_207104,c_168421]) ).
tcf(c_216375,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_207104,c_186606]) ).
tcf(c_216376,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_207104,c_178480]) ).
tcf(c_216377,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_21)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_207104,c_168422]) ).
tcf(c_216378,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(iPr_def_29,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_207104,c_186607]) ).
tcf(c_216379,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(X0)),iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_207104,c_178481]) ).
tcf(c_216380,plain,
! [X0: $i] :
( m1_subset_1(sK12(k1_zfmisc_1(X0)),iPr_def_29)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_207104,c_168423]) ).
tcf(c_216381,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_207104,c_196504]) ).
tcf(c_216382,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_207104,c_203411]) ).
tcf(c_216435,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_216371,c_57536]) ).
tcf(c_216447,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_197500,c_216435]) ).
tcf(c_216451,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_216447,c_197500]) ).
tcf(c_216515,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_169060,c_207473]) ).
tcf(c_216516,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_169061,c_207473]) ).
tcf(c_216517,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_185884,c_207473]) ).
tcf(c_216550,plain,
~ r1_tarski(iPr_def_19,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_206575,c_207473]) ).
tcf(c_216570,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_169060,c_209570]) ).
tcf(c_216571,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_169061,c_209570]) ).
tcf(c_216572,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_185884,c_209570]) ).
tcf(c_216604,plain,
~ r1_tarski(iPr_def_21,k1_tarski(k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_209421,c_209570]) ).
tcf(c_216622,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_211223,c_1176]) ).
tcf(c_216623,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_211223,c_151]) ).
tcf(c_216624,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_211223,c_60]) ).
tcf(c_216627,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_211223,c_8246]) ).
tcf(c_216628,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_211223,c_8233]) ).
tcf(c_216629,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_211223,c_8245]) ).
tcf(c_216630,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_211223,c_8232]) ).
tcf(c_216631,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_211223,c_168239]) ).
tcf(c_216632,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_211223,c_168240]) ).
tcf(c_216634,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_211223,c_168265]) ).
tcf(c_216636,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_211223,c_203239]) ).
tcf(c_216637,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_211223,c_169314]) ).
tcf(c_216639,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_211223,c_181361]) ).
tcf(c_216640,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_211223,c_172930]) ).
tcf(c_216642,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_211223,c_179337]) ).
tcf(c_216647,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_211223,c_180305]) ).
tcf(c_216648,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_211223,c_180432]) ).
tcf(c_216649,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_211223,c_180667]) ).
tcf(c_216650,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_211223,c_180717]) ).
tcf(c_216652,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_211223,c_181537]) ).
tcf(c_216653,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_211223,c_184526]) ).
tcf(c_216654,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_211223,c_184616]) ).
tcf(c_216655,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_211223,c_196494]) ).
tcf(c_216658,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_211223,c_185126]) ).
tcf(c_216659,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_211223,c_185210]) ).
tcf(c_216660,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_211223,c_187660]) ).
tcf(c_216663,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_211223,c_191768]) ).
tcf(c_216668,plain,
~ r1_tarski(iPr_def_21,k1_funct_1(sK4,k1_funct_1(sK4,iPr_def_30))),
inference(superposition,[status(thm)],[c_211223,c_210586]) ).
tcf(c_216702,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_216640,c_210573]) ).
tcf(c_216716,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_216632,c_210574]) ).
tcf(c_216821,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_8225,c_216637]) ).
tcf(c_216822,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_176042,c_216637]) ).
tcf(c_216823,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_169791,c_216637]) ).
tcf(c_216824,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_198853,c_216637]) ).
tcf(c_216825,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_216821,c_8223]) ).
tcf(c_216826,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_216822,c_176041]) ).
tcf(c_216827,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_216823,c_170219]) ).
tcf(c_216828,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_216824,c_198856]) ).
tcf(c_216867,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_167848,c_172933]) ).
tcf(c_216868,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_189750,c_172933]) ).
tcf(c_216869,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_181684,c_172933]) ).
tcf(c_216870,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_189751,c_172933]) ).
tcf(c_216871,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_181685,c_172933]) ).
tcf(c_216873,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_170292,c_172933]) ).
tcf(c_216874,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_216871,c_8251,c_8250]) ).
tcf(c_216877,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_216869,c_8249,c_8248]) ).
tcf(c_216880,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_216870,c_8251,c_8250]) ).
tcf(c_216883,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_216868,c_8249,c_8248]) ).
tcf(c_216921,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_200262,c_172934]) ).
tcf(c_216922,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_185516,c_172934]) ).
tcf(c_216923,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_174280,c_172934]) ).
tcf(c_216924,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_170419,c_172934]) ).
tcf(c_216925,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_167829,c_172934]) ).
tcf(c_216926,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_200258,c_172934]) ).
tcf(c_216927,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_185512,c_172934]) ).
tcf(c_216928,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_174276,c_172934]) ).
tcf(c_216929,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_167905,c_172934]) ).
tcf(c_216930,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_200259,c_172934]) ).
tcf(c_216931,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_185513,c_172934]) ).
tcf(c_216932,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_174277,c_172934]) ).
tcf(c_216933,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_167906,c_172934]) ).
tcf(c_216934,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_200260,c_172934]) ).
tcf(c_216935,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_185514,c_172934]) ).
tcf(c_216936,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_174278,c_172934]) ).
tcf(c_216937,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_167907,c_172934]) ).
tcf(c_216938,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_170458,c_172934]) ).
tcf(c_216940,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_200272,c_172934]) ).
tcf(c_216941,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_185526,c_172934]) ).
tcf(c_216942,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_174289,c_172934]) ).
tcf(c_216943,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_168734,c_172934]) ).
tcf(c_216944,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_200273,c_172934]) ).
tcf(c_216945,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_185527,c_172934]) ).
tcf(c_216946,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_174290,c_172934]) ).
tcf(c_216947,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_168945,c_172934]) ).
tcf(c_216948,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_200275,c_172934]) ).
tcf(c_216949,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_185529,c_172934]) ).
tcf(c_216950,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_174292,c_172934]) ).
tcf(c_216951,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_169276,c_172934]) ).
tcf(c_216952,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_200276,c_172934]) ).
tcf(c_216953,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_185530,c_172934]) ).
tcf(c_216954,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_174293,c_172934]) ).
tcf(c_216955,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_169282,c_172934]) ).
tcf(c_216956,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_200277,c_172934]) ).
tcf(c_216957,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_185531,c_172934]) ).
tcf(c_216958,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_174294,c_172934]) ).
tcf(c_216959,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_169301,c_172934]) ).
tcf(c_216960,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_170298,c_172934]) ).
tcf(c_216961,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_216938,c_8229,c_8255]) ).
tcf(c_216962,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_216936,c_8241,c_8240]) ).
tcf(c_216965,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_216932,c_8239,c_8238]) ).
tcf(c_216968,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_216928,c_8237,c_8236]) ).
tcf(c_216971,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_216935,c_8241,c_8240]) ).
tcf(c_216974,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_216931,c_8239,c_8238]) ).
tcf(c_216977,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_216927,c_8237,c_8236]) ).
tcf(c_216980,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_216934,c_8241,c_8240]) ).
tcf(c_216983,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_216930,c_8239,c_8238]) ).
tcf(c_216986,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_216926,c_8237,c_8236]) ).
tcf(c_216989,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_216958,c_169200]) ).
tcf(c_216993,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_216954,c_169169]) ).
tcf(c_216997,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_216950,c_169147]) ).
tcf(c_217001,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_216957,c_169200]) ).
tcf(c_217005,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_216953,c_169169]) ).
tcf(c_217009,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_216949,c_169147]) ).
tcf(c_217019,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_216956,c_169200]) ).
tcf(c_217023,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_216952,c_169169]) ).
tcf(c_217027,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_216948,c_169147]) ).
tcf(c_217031,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_216946,c_168865]) ).
tcf(c_217035,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_216942,c_168543]) ).
tcf(c_217039,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_216945,c_168865]) ).
tcf(c_217043,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_216941,c_168543]) ).
tcf(c_217052,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_216944,c_168865]) ).
tcf(c_217056,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_216940,c_168543]) ).
tcf(c_217075,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_216937,c_8241,c_8240]) ).
tcf(c_217079,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_216933,c_8239,c_8238]) ).
tcf(c_217083,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_216929,c_8237,c_8236]) ).
tcf(c_217087,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_216959,c_169200]) ).
tcf(c_217092,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_216955,c_169169]) ).
tcf(c_217097,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_216951,c_169147]) ).
tcf(c_217102,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_216947,c_168865]) ).
tcf(c_217107,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_216943,c_168543]) ).
tcf(c_217245,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_203095,c_185868]) ).
tcf(c_217246,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_203095,c_175080]) ).
tcf(c_217247,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_203095,c_178011]) ).
tcf(c_217248,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_203095,c_169781]) ).
tcf(c_217249,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_203095,c_169771]) ).
tcf(c_217250,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_217249,c_202713]) ).
tcf(c_217251,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_217248,c_202713]) ).
tcf(c_217252,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_217246,c_202713]) ).
tcf(c_217253,plain,
~ r2_hidden(iPr_def_19,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(forward_subsumption_resolution,[status(thm)],[c_217247,c_202713]) ).
tcf(c_217254,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_217245,c_203095]) ).
tcf(c_217255,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_217254,c_202713]) ).
tcf(c_217294,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_217250,c_169848]) ).
tcf(c_217295,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_217250,c_169546]) ).
tcf(c_217297,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_217250,c_170125]) ).
tcf(c_217345,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_213101,c_1176]) ).
tcf(c_217346,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_213101,c_151]) ).
tcf(c_217347,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_213101,c_60]) ).
tcf(c_217350,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_213101,c_8246]) ).
tcf(c_217351,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_213101,c_8233]) ).
tcf(c_217352,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_213101,c_8245]) ).
tcf(c_217353,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_213101,c_8232]) ).
tcf(c_217354,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_213101,c_168239]) ).
tcf(c_217355,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_213101,c_168240]) ).
tcf(c_217356,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_213101,c_168265]) ).
tcf(c_217358,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_213101,c_203239]) ).
tcf(c_217359,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_213101,c_169314]) ).
tcf(c_217361,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_213101,c_181361]) ).
tcf(c_217362,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_213101,c_172930]) ).
tcf(c_217364,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_213101,c_179337]) ).
tcf(c_217369,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_213101,c_180305]) ).
tcf(c_217370,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_213101,c_180432]) ).
tcf(c_217371,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_213101,c_180667]) ).
tcf(c_217372,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_213101,c_180717]) ).
tcf(c_217374,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_213101,c_181537]) ).
tcf(c_217375,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_213101,c_184526]) ).
tcf(c_217376,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_213101,c_184616]) ).
tcf(c_217377,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_213101,c_196494]) ).
tcf(c_217380,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_213101,c_185126]) ).
tcf(c_217381,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_213101,c_185210]) ).
tcf(c_217382,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_213101,c_187660]) ).
tcf(c_217385,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_213101,c_191768]) ).
tcf(c_217389,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_213101,c_207473]) ).
tcf(c_217450,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_217352,c_212674]) ).
tcf(c_217458,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_217350,c_212991,c_212992]) ).
tcf(c_217583,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_168663,c_1177]) ).
tcf(c_217584,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_168663,c_1176]) ).
tcf(c_217585,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_168663,c_151]) ).
tcf(c_217586,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_168663,c_60]) ).
tcf(c_217589,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_168663,c_8246]) ).
tcf(c_217590,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_168663,c_8233]) ).
tcf(c_217606,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_217590,c_170458,c_8255]) ).
tcf(c_217610,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_217589,c_173701]) ).
tcf(c_217627,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_217251,c_1176]) ).
tcf(c_217628,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_217251,c_151]) ).
tcf(c_217632,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_217251,c_8246]) ).
tcf(c_217633,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_217251,c_8233]) ).
tcf(c_217676,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_217252,c_170897]) ).
tcf(c_217686,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_214415,c_170897]) ).
tcf(c_217702,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_216989,c_197158]) ).
tcf(c_217703,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_216989,c_305]) ).
tcf(c_217704,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_216989,c_303]) ).
tcf(c_217721,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_216993,c_197158]) ).
tcf(c_217722,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_216993,c_305]) ).
tcf(c_217723,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_216993,c_303]) ).
tcf(c_217740,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_216997,c_197158]) ).
tcf(c_217741,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_216997,c_305]) ).
tcf(c_217742,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_216997,c_303]) ).
tcf(c_217775,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_217001,c_197158]) ).
tcf(c_217776,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_217001,c_305]) ).
tcf(c_217777,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_217001,c_303]) ).
tcf(c_217821,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_217005,c_197158]) ).
tcf(c_217822,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_217005,c_305]) ).
tcf(c_217823,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_217005,c_303]) ).
tcf(c_217844,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_217009,c_197158]) ).
tcf(c_217845,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_217009,c_305]) ).
tcf(c_217846,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_217009,c_303]) ).
tcf(c_217908,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_217019,c_197158]) ).
tcf(c_217909,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_217019,c_305]) ).
tcf(c_217910,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_217019,c_303]) ).
tcf(c_217935,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_217023,c_197158]) ).
tcf(c_217936,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_217023,c_305]) ).
tcf(c_217937,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_217023,c_303]) ).
tcf(c_218007,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_217628,c_1176]) ).
tcf(c_218008,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_217628,c_151]) ).
tcf(c_218009,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_217628,c_60]) ).
tcf(c_218012,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_217628,c_8246]) ).
tcf(c_218013,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_217628,c_8233]) ).
tcf(c_218014,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_217628,c_8245]) ).
tcf(c_218015,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_217628,c_8232]) ).
tcf(c_218016,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_217628,c_168239]) ).
tcf(c_218017,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_217628,c_168240]) ).
tcf(c_218018,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_217628,c_168265]) ).
tcf(c_218019,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_217628,c_203101]) ).
tcf(c_218021,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_217628,c_169314]) ).
tcf(c_218022,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_217628,c_181445]) ).
tcf(c_218024,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_217628,c_172930]) ).
tcf(c_218025,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_217628,c_179238]) ).
tcf(c_218028,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_217628,c_180060]) ).
tcf(c_218029,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_217628,c_180140]) ).
tcf(c_218030,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_217628,c_180237]) ).
tcf(c_218034,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_217628,c_180717]) ).
tcf(c_218035,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_217628,c_181219]) ).
tcf(c_218036,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_217628,c_181537]) ).
tcf(c_218037,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_217628,c_184526]) ).
tcf(c_218038,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_217628,c_184616]) ).
tcf(c_218039,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_217628,c_196494]) ).
tcf(c_218040,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_217628,c_184726]) ).
tcf(c_218041,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_217628,c_185041]) ).
tcf(c_218045,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_217628,c_189275]) ).
tcf(c_218046,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_217628,c_191571]) ).
tcf(c_218049,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_217628,c_204502]) ).
tcf(c_218087,plain,
~ r1_tarski(iPr_def_19,sK12(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))),
inference(forward_subsumption_resolution,[status(thm)],[c_218024,c_190]) ).
tcf(c_218104,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_218016,c_217250]) ).
tcf(c_218211,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_169059,c_1177]) ).
tcf(c_218212,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_169059,c_1176]) ).
tcf(c_218213,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_169059,c_151]) ).
tcf(c_218214,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_169059,c_60]) ).
tcf(c_218217,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_169059,c_8246]) ).
tcf(c_218218,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_169059,c_8233]) ).
tcf(c_218220,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_169059,c_8245]) ).
tcf(c_218221,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_169059,c_8232]) ).
tcf(c_218222,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_169059,c_168239]) ).
tcf(c_218223,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_169059,c_168240]) ).
tcf(c_218224,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_169059,c_168265]) ).
tcf(c_218225,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_169059,c_203101]) ).
tcf(c_218226,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_169059,c_203239]) ).
tcf(c_218227,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_169059,c_169314]) ).
tcf(c_218228,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_169059,c_181445]) ).
tcf(c_218229,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_169059,c_181361]) ).
tcf(c_218230,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_169059,c_172930]) ).
tcf(c_218231,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_169059,c_179238]) ).
tcf(c_218232,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_169059,c_179337]) ).
tcf(c_218234,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_169059,c_180060]) ).
tcf(c_218235,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_169059,c_180140]) ).
tcf(c_218236,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_169059,c_180237]) ).
tcf(c_218237,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_169059,c_180305]) ).
tcf(c_218238,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_169059,c_180432]) ).
tcf(c_218239,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_169059,c_180667]) ).
tcf(c_218240,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_169059,c_180717]) ).
tcf(c_218241,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_169059,c_181219]) ).
tcf(c_218242,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_169059,c_181537]) ).
tcf(c_218243,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_169059,c_184526]) ).
tcf(c_218244,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_169059,c_184616]) ).
tcf(c_218245,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_169059,c_196494]) ).
tcf(c_218246,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_169059,c_184726]) ).
tcf(c_218247,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_169059,c_185041]) ).
tcf(c_218248,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_169059,c_185126]) ).
tcf(c_218249,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_169059,c_185210]) ).
tcf(c_218250,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_169059,c_187660]) ).
tcf(c_218251,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_169059,c_189275]) ).
tcf(c_218252,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_169059,c_191571]) ).
tcf(c_218253,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_169059,c_191768]) ).
tcf(c_218254,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_169059,c_198682]) ).
tcf(c_218255,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_169059,c_204502]) ).
tcf(c_218256,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_169059,c_209570]) ).
tcf(c_218257,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_169059,c_207473]) ).
tcf(c_218607,plain,
( v1_tsp_1(sK22(sK2),sK2)
| ~ l1_pre_topc(sK2)
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(superposition,[status(thm)],[c_173329,c_170094]) ).
tcf(c_218608,plain,
( v1_tsp_1(sK22(sK3),sK3)
| ~ l1_pre_topc(sK3)
| ~ v1_tsp_2(k1_xboole_0,sK3) ),
inference(superposition,[status(thm)],[c_178091,c_170094]) ).
tcf(c_218609,plain,
( v1_tsp_1(sK22(sK8),sK8)
| ~ l1_pre_topc(sK8)
| ~ v1_tsp_2(k1_xboole_0,sK8) ),
inference(superposition,[status(thm)],[c_178090,c_170094]) ).
tcf(c_218610,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_186295,c_170094]) ).
tcf(c_218611,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_186259,c_170094]) ).
tcf(c_218612,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_186260,c_170094]) ).
tcf(c_218613,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_186261,c_170094]) ).
tcf(c_218614,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_199900,c_170094]) ).
tcf(c_218615,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_199840,c_170094]) ).
tcf(c_218616,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_186296,c_170094]) ).
tcf(c_218617,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_186297,c_170094]) ).
tcf(c_218618,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_200146,c_170094]) ).
tcf(c_218619,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_200094,c_170094]) ).
tcf(c_218620,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_199841,c_170094]) ).
tcf(c_218621,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_199842,c_170094]) ).
tcf(c_218622,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_211272,c_170094]) ).
tcf(c_218623,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_210908,c_170094]) ).
tcf(c_218624,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_199901,c_170094]) ).
tcf(c_218625,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_199902,c_170094]) ).
tcf(c_218626,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_211611,c_170094]) ).
tcf(c_218627,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_211565,c_170094]) ).
tcf(c_218628,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_200095,c_170094]) ).
tcf(c_218629,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_200096,c_170094]) ).
tcf(c_218630,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_211944,c_170094]) ).
tcf(c_218631,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_211763,c_170094]) ).
tcf(c_218632,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_200147,c_170094]) ).
tcf(c_218633,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_200148,c_170094]) ).
tcf(c_218634,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_213010,c_170094]) ).
tcf(c_218635,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_211991,c_170094]) ).
tcf(c_218636,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_210909,c_170094]) ).
tcf(c_218637,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_210910,c_170094]) ).
tcf(c_218638,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_211273,c_170094]) ).
tcf(c_218639,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_211274,c_170094]) ).
tcf(c_218640,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_211566,c_170094]) ).
tcf(c_218641,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_211567,c_170094]) ).
tcf(c_218642,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_211612,c_170094]) ).
tcf(c_218643,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_211613,c_170094]) ).
tcf(c_218644,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_211764,c_170094]) ).
tcf(c_218645,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_211765,c_170094]) ).
tcf(c_218646,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_211945,c_170094]) ).
tcf(c_218647,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_211946,c_170094]) ).
tcf(c_218648,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_211992,c_170094]) ).
tcf(c_218649,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_211993,c_170094]) ).
tcf(c_218650,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_213011,c_170094]) ).
tcf(c_218651,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_213012,c_170094]) ).
tcf(c_218652,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_218609,c_178090]) ).
tcf(c_218653,plain,
( v1_tsp_1(k1_xboole_0,sK8)
| ~ v1_tsp_2(k1_xboole_0,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_218652,c_168]) ).
tcf(c_218656,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_218608,c_178091]) ).
tcf(c_218657,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_218607,c_173329]) ).
tcf(c_218658,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_218617,c_186297]) ).
tcf(c_218662,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_218616,c_186296]) ).
tcf(c_218666,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_218613,c_186261]) ).
tcf(c_218670,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_218612,c_186260]) ).
tcf(c_218674,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_218611,c_186259]) ).
tcf(c_218678,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_218610,c_186295]) ).
tcf(c_218682,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_218633,c_200148]) ).
tcf(c_218686,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_218632,c_200147]) ).
tcf(c_218690,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_218629,c_200096]) ).
tcf(c_218694,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_218628,c_200095]) ).
tcf(c_218698,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_218625,c_199902]) ).
tcf(c_218702,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_218624,c_199901]) ).
tcf(c_218706,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_218621,c_199842]) ).
tcf(c_218710,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_218620,c_199841]) ).
tcf(c_218714,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_218619,c_200094]) ).
tcf(c_218718,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_218618,c_200146]) ).
tcf(c_218722,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_218615,c_199840]) ).
tcf(c_218726,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_218614,c_199900]) ).
tcf(c_218730,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_218651,c_213012]) ).
tcf(c_218734,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_218650,c_213011]) ).
tcf(c_218738,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_218649,c_211993]) ).
tcf(c_218742,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_218648,c_211992]) ).
tcf(c_218746,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_218647,c_211946]) ).
tcf(c_218750,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_218646,c_211945]) ).
tcf(c_218754,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_218645,c_211765]) ).
tcf(c_218758,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_218644,c_211764]) ).
tcf(c_218762,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_218643,c_211613]) ).
tcf(c_218766,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_218642,c_211612]) ).
tcf(c_218770,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_218641,c_211567]) ).
tcf(c_218774,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_218640,c_211566]) ).
tcf(c_218778,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_218639,c_211274]) ).
tcf(c_218782,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_218638,c_211273]) ).
tcf(c_218786,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_218637,c_210910]) ).
tcf(c_218790,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_218636,c_210909]) ).
tcf(c_218794,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_218635,c_211991]) ).
tcf(c_218798,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_218634,c_213010]) ).
tcf(c_218802,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_218631,c_211763]) ).
tcf(c_218806,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_218630,c_211944]) ).
tcf(c_218810,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_218627,c_211565]) ).
tcf(c_218814,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_218626,c_211611]) ).
tcf(c_218818,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_218623,c_210908]) ).
tcf(c_218822,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_218622,c_211272]) ).
tcf(c_219030,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_216373,c_1176]) ).
tcf(c_219031,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_216373,c_151]) ).
tcf(c_219035,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_216373,c_8246]) ).
tcf(c_219036,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_216373,c_8233]) ).
tcf(c_219087,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_216374,c_169848]) ).
tcf(c_219088,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_216374,c_169546]) ).
tcf(c_219089,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),iPr_def_18)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_216374,c_168446]) ).
tcf(c_219090,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_216374,c_170125]) ).
tcf(c_219179,plain,
( v1_tsp_1(k1_xboole_0,sK14(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK14(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_218674,c_59,c_4125,c_61653]) ).
tcf(c_219206,plain,
( v1_tsp_1(k1_xboole_0,sK10(sK2))
| ~ v1_tsp_2(k1_xboole_0,sK10(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_218678,c_59,c_4149,c_61657]) ).
tcf(c_219212,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_203611,c_204733,c_204737]) ).
tcf(c_219217,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_168266,c_171465]) ).
tcf(c_219219,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_170634,c_171465]) ).
tcf(c_219220,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_170628,c_171465]) ).
tcf(c_219221,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_8221,c_171465]) ).
tcf(c_219241,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_168266,c_171750]) ).
tcf(c_219243,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_170634,c_171750]) ).
tcf(c_219244,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_170628,c_171750]) ).
tcf(c_219245,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_8221,c_171750]) ).
tcf(c_219270,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_216376,c_1176]) ).
tcf(c_219271,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_216376,c_151]) ).
tcf(c_219275,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_216376,c_8246]) ).
tcf(c_219276,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_216376,c_8233]) ).
tcf(c_219361,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_216377,c_170220]) ).
tcf(c_219362,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_216377,c_169792]) ).
tcf(c_219363,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),iPr_def_20)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_216377,c_168447]) ).
tcf(c_219364,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_216377,c_169483]) ).
tcf(c_219365,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_216377,c_170130]) ).
tcf(c_219366,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_216377,c_167885]) ).
tcf(c_219407,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_216379,c_1176]) ).
tcf(c_219408,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_216379,c_151]) ).
tcf(c_219412,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_216379,c_8246]) ).
tcf(c_219413,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_216379,c_8233]) ).
tcf(c_219437,plain,
! [X0: $i] :
( r1_tarski(sK12(k1_zfmisc_1(X0)),iPr_def_28)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_216380,c_168448]) ).
tcf(c_219440,plain,
! [X0: $i] :
( v1_tsp_1(sK12(k1_zfmisc_1(X0)),sK2)
| ~ v1_xboole_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_219365,c_110269]) ).
tcf(c_219450,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_219440,c_172934]) ).
tcf(c_219453,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_219440,c_168269]) ).
tcf(c_219454,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_219440,c_167658]) ).
tcf(c_219478,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_8221,c_219219]) ).
tcf(c_219479,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_219219,c_1177]) ).
tcf(c_219480,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_219219,c_1176]) ).
tcf(c_219481,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_219219,c_151]) ).
tcf(c_219482,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_219219,c_60]) ).
tcf(c_219483,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_219219,c_304]) ).
tcf(c_219484,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_219219,c_293]) ).
tcf(c_219485,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_219219,c_8246]) ).
tcf(c_219486,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_219219,c_8233]) ).
tcf(c_219491,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_219478,c_8221,c_8222]) ).
tcf(c_219586,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_204733,c_175344]) ).
tcf(c_219587,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_204733,c_175309]) ).
tcf(c_219588,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_204733,c_168646]) ).
tcf(c_219589,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_204733,c_170446]) ).
tcf(c_219590,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_204733,c_168405]) ).
tcf(c_219599,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_219589,c_204733]) ).
tcf(c_219641,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_177517,c_298]) ).
tcf(c_219652,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_177906,c_298]) ).
tcf(c_219663,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_178350,c_298]) ).
tcf(c_219674,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_168266,c_178482]) ).
tcf(c_219676,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_170634,c_178482]) ).
tcf(c_219677,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_170628,c_178482]) ).
tcf(c_219678,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_8212,c_178482]) ).
tcf(c_219679,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_8214,c_178482]) ).
tcf(c_219680,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_8222,c_178482]) ).
tcf(c_219711,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_8212,c_219676]) ).
tcf(c_219712,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_8214,c_219676]) ).
tcf(c_219713,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_8222,c_219676]) ).
tcf(c_219714,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_219676,c_1177]) ).
tcf(c_219715,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_219676,c_1176]) ).
tcf(c_219716,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_219676,c_151]) ).
tcf(c_219717,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_219676,c_60]) ).
tcf(c_219718,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_219676,c_304]) ).
tcf(c_219719,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_219676,c_293]) ).
tcf(c_219720,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_219676,c_8246]) ).
tcf(c_219721,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_219676,c_8233]) ).
tcf(c_219722,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_219676,c_149]) ).
tcf(c_219723,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_219676,c_168242]) ).
tcf(c_219724,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_219676,c_168243]) ).
tcf(c_219725,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_219676,c_178483]) ).
tcf(c_219726,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_219713,c_8222]) ).
tcf(c_219732,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_219712,c_8214]) ).
tcf(c_219738,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_219711,c_8212]) ).
tcf(c_219891,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_8221,c_219243]) ).
tcf(c_219893,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_219243,c_1176]) ).
tcf(c_219894,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_219243,c_151]) ).
tcf(c_219895,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_219243,c_60]) ).
tcf(c_219897,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_219243,c_293]) ).
tcf(c_219898,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_219243,c_8246]) ).
tcf(c_219899,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_219243,c_8233]) ).
tcf(c_219900,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_219891,c_8221,c_8222]) ).
tcf(c_219970,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_217027,c_197158]) ).
tcf(c_219971,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_217027,c_305]) ).
tcf(c_219972,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_217027,c_303]) ).
tcf(c_219989,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_217031,c_197158]) ).
tcf(c_219990,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_217031,c_305]) ).
tcf(c_219991,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_217031,c_303]) ).
tcf(c_220018,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_217035,c_197158]) ).
tcf(c_220019,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_217035,c_305]) ).
tcf(c_220020,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_217035,c_303]) ).
tcf(c_220063,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_217039,c_197158]) ).
tcf(c_220064,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_217039,c_305]) ).
tcf(c_220065,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_217039,c_303]) ).
tcf(c_220104,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_217043,c_197158]) ).
tcf(c_220105,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_217043,c_305]) ).
tcf(c_220106,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_217043,c_303]) ).
tcf(c_220117,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_216960,c_60896]) ).
tcf(c_220129,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_220117,c_197158]) ).
tcf(c_220130,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_220117,c_305]) ).
tcf(c_220131,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_220117,c_303]) ).
tcf(c_220132,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_220117,c_171608]) ).
tcf(c_220133,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_220117,c_209210]) ).
tcf(c_220134,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_220117,c_207130]) ).
tcf(c_220135,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_220117,c_196784]) ).
tcf(c_220136,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_220117,c_171623]) ).
tcf(c_220137,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_220117,c_175901]) ).
tcf(c_220138,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_220117,c_175840]) ).
tcf(c_220139,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_220117,c_175944]) ).
tcf(c_220140,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_220117,c_177516]) ).
tcf(c_220141,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_220117,c_180517]) ).
tcf(c_220142,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_220140,c_174072]) ).
tcf(c_220158,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_220136,c_168230]) ).
tcf(c_220286,plain,
~ r2_hidden(iPr_def_21,k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_219587,c_59451,c_91012]) ).
tcf(c_220306,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_168389,c_219678]) ).
tcf(c_220307,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_168397,c_219678]) ).
tcf(c_220308,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(iPr_def_18)),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168435,c_219678]) ).
tcf(c_220310,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_201107,c_219678]) ).
tcf(c_220311,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_192817,c_219678]) ).
tcf(c_220312,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_186159,c_219678]) ).
tcf(c_220313,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_174623,c_219678]) ).
tcf(c_220314,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_168783,c_219678]) ).
tcf(c_220315,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_201149,c_219678]) ).
tcf(c_220316,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_192970,c_219678]) ).
tcf(c_220317,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_186200,c_219678]) ).
tcf(c_220318,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_174651,c_219678]) ).
tcf(c_220319,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_168960,c_219678]) ).
tcf(c_220320,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_169395,c_219678]) ).
tcf(c_220321,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_201009,c_219678]) ).
tcf(c_220322,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_185810,c_219678]) ).
tcf(c_220323,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_174444,c_219678]) ).
tcf(c_220324,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_169723,c_219678]) ).
tcf(c_220325,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_201035,c_219678]) ).
tcf(c_220326,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_186095,c_219678]) ).
tcf(c_220327,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_174484,c_219678]) ).
tcf(c_220328,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_169942,c_219678]) ).
tcf(c_220329,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_201061,c_219678]) ).
tcf(c_220330,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_186121,c_219678]) ).
tcf(c_220331,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_174571,c_219678]) ).
tcf(c_220332,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_169968,c_219678]) ).
tcf(c_220333,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_168380,c_219678]) ).
tcf(c_220334,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_168375,c_219678]) ).
tcf(c_220335,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_171942,c_219678]) ).
tcf(c_220336,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_168370,c_219678]) ).
tcf(c_220345,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_175075,c_219678]) ).
tcf(c_220352,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_204223,c_219678]) ).
tcf(c_220353,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_178116,c_219678]) ).
tcf(c_220354,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_178130,c_219678]) ).
tcf(c_220356,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_194181,c_219678]) ).
tcf(c_220357,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_181888,c_219678]) ).
tcf(c_220359,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_182352,c_219678]) ).
tcf(c_220360,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_182531,c_219678]) ).
tcf(c_220361,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_182660,c_219678]) ).
tcf(c_220362,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_183265,c_219678]) ).
tcf(c_220363,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_183402,c_219678]) ).
tcf(c_220364,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_183684,c_219678]) ).
tcf(c_220365,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_183845,c_219678]) ).
tcf(c_220367,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_192418,c_219678]) ).
tcf(c_220368,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_192551,c_219678]) ).
tcf(c_220372,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_194654,c_219678]) ).
tcf(c_220375,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_198816,c_219678]) ).
tcf(c_220376,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_204699,c_219678]) ).
tcf(c_220410,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_220375,c_8212]) ).
tcf(c_220414,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_220372,c_8212]) ).
tcf(c_220418,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_220368,c_8212]) ).
tcf(c_220422,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_220367,c_8212]) ).
tcf(c_220426,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_220356,c_8212]) ).
tcf(c_220431,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_220316,c_8212]) ).
tcf(c_220435,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_220311,c_8212]) ).
tcf(c_220439,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_220376,c_8212]) ).
tcf(c_220443,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_220352,c_8212]) ).
tcf(c_220786,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_168389,c_219679]) ).
tcf(c_220787,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_168397,c_219679]) ).
tcf(c_220788,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(iPr_def_20)),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168435,c_219679]) ).
tcf(c_220790,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_201107,c_219679]) ).
tcf(c_220792,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_186159,c_219679]) ).
tcf(c_220793,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_174623,c_219679]) ).
tcf(c_220794,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_168783,c_219679]) ).
tcf(c_220795,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_201149,c_219679]) ).
tcf(c_220797,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_186200,c_219679]) ).
tcf(c_220798,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_174651,c_219679]) ).
tcf(c_220799,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_168960,c_219679]) ).
tcf(c_220800,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_169395,c_219679]) ).
tcf(c_220802,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_201009,c_219679]) ).
tcf(c_220803,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_185810,c_219679]) ).
tcf(c_220804,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_174444,c_219679]) ).
tcf(c_220805,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_169723,c_219679]) ).
tcf(c_220806,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_201035,c_219679]) ).
tcf(c_220807,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_186095,c_219679]) ).
tcf(c_220808,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_174484,c_219679]) ).
tcf(c_220809,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_169942,c_219679]) ).
tcf(c_220810,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_201061,c_219679]) ).
tcf(c_220811,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_186121,c_219679]) ).
tcf(c_220812,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_174571,c_219679]) ).
tcf(c_220813,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_169968,c_219679]) ).
tcf(c_220814,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_168380,c_219679]) ).
tcf(c_220815,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_168375,c_219679]) ).
tcf(c_220816,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_171942,c_219679]) ).
tcf(c_220817,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_168370,c_219679]) ).
tcf(c_220830,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_175348,c_219679]) ).
tcf(c_220837,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_178116,c_219679]) ).
tcf(c_220838,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_178122,c_219679]) ).
tcf(c_220841,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_204357,c_219679]) ).
tcf(c_220842,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_182015,c_219679]) ).
tcf(c_220844,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_182816,c_219679]) ).
tcf(c_220845,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_183007,c_219679]) ).
tcf(c_220846,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_183125,c_219679]) ).
tcf(c_220847,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_183256,c_219679]) ).
tcf(c_220848,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_183554,c_219679]) ).
tcf(c_220849,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_183836,c_219679]) ).
tcf(c_220851,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_192418,c_219679]) ).
tcf(c_220852,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_192551,c_219679]) ).
tcf(c_220853,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_193509,c_219679]) ).
tcf(c_220854,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_193716,c_219679]) ).
tcf(c_220855,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_194002,c_219679]) ).
tcf(c_220857,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_194816,c_219679]) ).
tcf(c_220859,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_198816,c_219679]) ).
tcf(c_220860,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_204699,c_219679]) ).
tcf(c_220892,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_220859,c_8214]) ).
tcf(c_220896,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_220857,c_8214]) ).
tcf(c_220900,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_220855,c_8214]) ).
tcf(c_220904,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_220854,c_8214]) ).
tcf(c_220908,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_220853,c_8214]) ).
tcf(c_220912,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_220852,c_8214]) ).
tcf(c_220916,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_220851,c_8214]) ).
tcf(c_220921,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_220860,c_8214]) ).
tcf(c_220925,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_220841,c_8214]) ).
tcf(c_221162,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_168389,c_219680]) ).
tcf(c_221163,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_168397,c_219680]) ).
tcf(c_221164,plain,
! [X0: $i] :
( r2_hidden(sK12(k1_zfmisc_1(iPr_def_28)),X0)
| ~ r1_tarski(iPr_def_29,X0) ),
inference(superposition,[status(thm)],[c_168435,c_219680]) ).
tcf(c_221166,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_201107,c_219680]) ).
tcf(c_221167,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_192817,c_219680]) ).
tcf(c_221168,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_186159,c_219680]) ).
tcf(c_221169,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_174623,c_219680]) ).
tcf(c_221170,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_168783,c_219680]) ).
tcf(c_221171,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_201149,c_219680]) ).
tcf(c_221172,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_192970,c_219680]) ).
tcf(c_221173,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_186200,c_219680]) ).
tcf(c_221174,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_174651,c_219680]) ).
tcf(c_221175,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_168960,c_219680]) ).
tcf(c_221176,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_169395,c_219680]) ).
tcf(c_221177,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_201009,c_219680]) ).
tcf(c_221178,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_185810,c_219680]) ).
tcf(c_221179,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_174444,c_219680]) ).
tcf(c_221180,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_169723,c_219680]) ).
tcf(c_221181,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_201035,c_219680]) ).
tcf(c_221182,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_186095,c_219680]) ).
tcf(c_221183,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_174484,c_219680]) ).
tcf(c_221184,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_169942,c_219680]) ).
tcf(c_221185,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_201061,c_219680]) ).
tcf(c_221186,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_186121,c_219680]) ).
tcf(c_221187,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_174571,c_219680]) ).
tcf(c_221188,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_169968,c_219680]) ).
tcf(c_221189,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_168380,c_219680]) ).
tcf(c_221190,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_168375,c_219680]) ).
tcf(c_221191,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_171942,c_219680]) ).
tcf(c_221192,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_168370,c_219680]) ).
tcf(c_221196,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_204223,c_219680]) ).
tcf(c_221199,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_175460,c_219680]) ).
tcf(c_221200,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_178116,c_219680]) ).
tcf(c_221201,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_178134,c_219680]) ).
tcf(c_221202,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_194181,c_219680]) ).
tcf(c_221203,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_181892,c_219680]) ).
tcf(c_221204,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_204357,c_219680]) ).
tcf(c_221205,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_182028,c_219680]) ).
tcf(c_221207,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_182356,c_219680]) ).
tcf(c_221208,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_182535,c_219680]) ).
tcf(c_221209,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_182664,c_219680]) ).
tcf(c_221210,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_182829,c_219680]) ).
tcf(c_221211,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_183020,c_219680]) ).
tcf(c_221212,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_183138,c_219680]) ).
tcf(c_221213,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_183406,c_219680]) ).
tcf(c_221214,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_183567,c_219680]) ).
tcf(c_221215,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_183688,c_219680]) ).
tcf(c_221218,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_193509,c_219680]) ).
tcf(c_221219,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_193716,c_219680]) ).
tcf(c_221220,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_194002,c_219680]) ).
tcf(c_221221,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_194654,c_219680]) ).
tcf(c_221222,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_194816,c_219680]) ).
tcf(c_221223,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_198816,c_219680]) ).
tcf(c_221224,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_204699,c_219680]) ).
tcf(c_221266,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_221223,c_8222]) ).
tcf(c_221270,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_221222,c_8222]) ).
tcf(c_221274,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_221221,c_8222]) ).
tcf(c_221278,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_221220,c_8222]) ).
tcf(c_221282,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_221219,c_8222]) ).
tcf(c_221286,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_221218,c_8222]) ).
tcf(c_221290,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_221202,c_8222]) ).
tcf(c_221295,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_221172,c_8222]) ).
tcf(c_221299,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_221167,c_8222]) ).
tcf(c_221303,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_221224,c_8222]) ).
tcf(c_221307,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_221204,c_8222]) ).
tcf(c_221311,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_221196,c_8222]) ).
tcf(c_221699,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_168436,c_179237]) ).
tcf(c_221700,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_169140,c_179237]) ).
tcf(c_221701,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_169162,c_179237]) ).
tcf(c_221702,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_168563,c_179237]) ).
tcf(c_221704,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_169193,c_179237]) ).
tcf(c_221705,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_168438,c_179237]) ).
tcf(c_221706,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_168439,c_179237]) ).
tcf(c_221707,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_168537,c_179237]) ).
tcf(c_221708,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_168859,c_179237]) ).
tcf(c_221709,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_169532,c_179237]) ).
tcf(c_221710,plain,
( r2_hidden(sK16(iPr_def_20),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_179237]) ).
tcf(c_221711,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_168441,c_179237]) ).
tcf(c_221712,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_168442,c_179237]) ).
tcf(c_221713,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_168389,c_179237]) ).
tcf(c_221714,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_168397,c_179237]) ).
tcf(c_221715,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_168435,c_179237]) ).
tcf(c_221716,plain,
! [X0: $i] :
( r2_hidden(sK16(iPr_def_20),X0)
| ~ r1_tarski(iPr_def_21,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_168445,c_179237]) ).
tcf(c_221727,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_169395,c_179237]) ).
tcf(c_221728,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_175338,c_179237]) ).
tcf(c_221741,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_170634,c_179237]) ).
tcf(c_221742,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_170628,c_179237]) ).
tcf(c_221743,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_168380,c_179237]) ).
tcf(c_221744,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_168375,c_179237]) ).
tcf(c_221745,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_171942,c_179237]) ).
tcf(c_221746,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_168370,c_179237]) ).
tcf(c_221747,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_179237]) ).
tcf(c_221749,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_179237]) ).
tcf(c_221750,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_175002,c_179237]) ).
tcf(c_221751,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_175027,c_179237]) ).
tcf(c_221752,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_179237]) ).
tcf(c_221753,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_179237]) ).
tcf(c_221754,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_179237]) ).
tcf(c_221756,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_179237]) ).
tcf(c_221757,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_175073,c_179237]) ).
tcf(c_221758,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_175074,c_179237]) ).
tcf(c_221759,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_175075,c_179237]) ).
tcf(c_221760,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_179237]) ).
tcf(c_221761,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_179237]) ).
tcf(c_221762,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_179237]) ).
tcf(c_221763,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_175079,c_179237]) ).
tcf(c_221764,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_175080,c_179237]) ).
tcf(c_221765,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_179237]) ).
tcf(c_221767,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_179237]) ).
tcf(c_221768,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_179237]) ).
tcf(c_221769,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_179237]) ).
tcf(c_221770,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_179237]) ).
tcf(c_221771,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_175337,c_179237]) ).
tcf(c_221772,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_179237]) ).
tcf(c_221774,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_175344,c_179237]) ).
tcf(c_221777,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_175348,c_179237]) ).
tcf(c_221781,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_175352,c_179237]) ).
tcf(c_221782,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_179237]) ).
tcf(c_221783,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_179237]) ).
tcf(c_221784,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_175460,c_179237]) ).
tcf(c_221785,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_179237]) ).
tcf(c_221787,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_178116,c_179237]) ).
tcf(c_221788,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_178122,c_179237]) ).
tcf(c_221789,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_178130,c_179237]) ).
tcf(c_221790,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_178134,c_179237]) ).
tcf(c_221791,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_179657,c_179237]) ).
tcf(c_221796,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_204357,c_179237]) ).
tcf(c_221797,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_182015,c_179237]) ).
tcf(c_221798,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_182028,c_179237]) ).
tcf(c_221807,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_182816,c_179237]) ).
tcf(c_221808,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_182829,c_179237]) ).
tcf(c_221809,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_183007,c_179237]) ).
tcf(c_221810,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_183020,c_179237]) ).
tcf(c_221811,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_183125,c_179237]) ).
tcf(c_221812,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_183138,c_179237]) ).
tcf(c_221813,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_183256,c_179237]) ).
tcf(c_221814,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_183265,c_179237]) ).
tcf(c_221817,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_183554,c_179237]) ).
tcf(c_221818,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_183567,c_179237]) ).
tcf(c_221821,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_183836,c_179237]) ).
tcf(c_221822,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_183845,c_179237]) ).
tcf(c_221824,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_184408,c_179237]) ).
tcf(c_221825,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_192418,c_179237]) ).
tcf(c_221826,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_192551,c_179237]) ).
tcf(c_221827,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_193509,c_179237]) ).
tcf(c_221828,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_193716,c_179237]) ).
tcf(c_221829,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_194002,c_179237]) ).
tcf(c_221831,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_194816,c_179237]) ).
tcf(c_221833,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_196055,c_179237]) ).
tcf(c_221834,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_201209,c_179237]) ).
tcf(c_221837,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_204083,c_179237]) ).
tcf(c_221840,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_210576,c_179237]) ).
tcf(c_221841,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_207104,c_179237]) ).
tcf(c_221842,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_214415,c_179237]) ).
tcf(c_221843,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_217252,c_179237]) ).
tcf(c_222457,plain,
~ r1_tarski(iPr_def_21,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_221716,c_218,c_11696,c_26196]) ).
tcf(c_222464,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_221752,c_1177]) ).
tcf(c_222465,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_221752,c_1176]) ).
tcf(c_222466,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_221752,c_151]) ).
tcf(c_222467,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221752,c_60]) ).
tcf(c_222469,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_221752,c_293]) ).
tcf(c_222470,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_221752,c_8246]) ).
tcf(c_222471,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_221752,c_8233]) ).
tcf(c_222485,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_222471,c_170458,c_8255]) ).
tcf(c_222488,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_222470,c_173701]) ).
tcf(c_222496,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_221753,c_1177]) ).
tcf(c_222497,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_221753,c_1176]) ).
tcf(c_222498,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_221753,c_151]) ).
tcf(c_222499,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221753,c_60]) ).
tcf(c_222501,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_221753,c_293]) ).
tcf(c_222502,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_221753,c_8246]) ).
tcf(c_222503,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_221753,c_8233]) ).
tcf(c_222517,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_222503,c_170458,c_8255]) ).
tcf(c_222520,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_222502,c_173701]) ).
tcf(c_222528,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_221754,c_1177]) ).
tcf(c_222529,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_221754,c_1176]) ).
tcf(c_222530,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_221754,c_151]) ).
tcf(c_222531,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221754,c_60]) ).
tcf(c_222533,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_221754,c_293]) ).
tcf(c_222534,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_221754,c_8246]) ).
tcf(c_222535,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_221754,c_8233]) ).
tcf(c_222549,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_222535,c_170458,c_8255]) ).
tcf(c_222552,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_222534,c_173701]) ).
tcf(c_222566,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_221741,c_1177]) ).
tcf(c_222567,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_221741,c_1176]) ).
tcf(c_222568,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_221741,c_151]) ).
tcf(c_222569,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_221741,c_60]) ).
tcf(c_222570,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_221741,c_304]) ).
tcf(c_222571,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_221741,c_293]) ).
tcf(c_222572,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_221741,c_8246]) ).
tcf(c_222573,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_221741,c_8233]) ).
tcf(c_222655,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_217052,c_197158]) ).
tcf(c_222656,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_217052,c_305]) ).
tcf(c_222657,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_217052,c_303]) ).
tcf(c_222674,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_217056,c_197158]) ).
tcf(c_222675,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_217056,c_305]) ).
tcf(c_222676,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_217056,c_303]) ).
tcf(c_222747,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_217087,c_197158]) ).
tcf(c_222748,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_217087,c_305]) ).
tcf(c_222749,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_217087,c_303]) ).
tcf(c_222772,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_217092,c_197158]) ).
tcf(c_222773,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_217092,c_305]) ).
tcf(c_222774,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_217092,c_303]) ).
tcf(c_222797,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_217097,c_197158]) ).
tcf(c_222798,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_217097,c_305]) ).
tcf(c_222799,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_217097,c_303]) ).
tcf(c_222906,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_217102,c_197158]) ).
tcf(c_222907,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_217102,c_305]) ).
tcf(c_222908,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_217102,c_303]) ).
tcf(c_222931,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_217107,c_197158]) ).
tcf(c_222932,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_217107,c_305]) ).
tcf(c_222933,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_217107,c_303]) ).
tcf(c_222948,plain,
r2_hidden(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(global_subsumption_just,[status(thm)],[c_219588,c_59452,c_91012]) ).
tcf(c_222951,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_222948,c_1176]) ).
tcf(c_222952,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_222948,c_151]) ).
tcf(c_222955,plain,
m1_subset_1(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(superposition,[status(thm)],[c_222948,c_293]) ).
tcf(c_222956,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_222948,c_8246]) ).
tcf(c_222957,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_222948,c_8233]) ).
tcf(c_222971,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_222955,c_170220]) ).
tcf(c_222972,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_222955,c_169792]) ).
tcf(c_222973,plain,
r1_tarski(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20),
inference(superposition,[status(thm)],[c_222955,c_168447]) ).
tcf(c_222974,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_222955,c_169483]) ).
tcf(c_222975,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_222955,c_170130]) ).
tcf(c_222976,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_222955,c_167885]) ).
tcf(c_223031,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_222469,c_169840]) ).
tcf(c_223032,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_222469,c_169538]) ).
tcf(c_223042,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_222501,c_169840]) ).
tcf(c_223043,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_222501,c_169538]) ).
tcf(c_223053,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_222533,c_169840]) ).
tcf(c_223054,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_222533,c_169538]) ).
tcf(c_223059,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_222973,c_179237]) ).
tcf(c_223065,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_222973,c_170897]) ).
tcf(c_223072,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_223065,c_174072,c_222955]) ).
tcf(c_223080,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_221765,c_1177]) ).
tcf(c_223081,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_221765,c_1176]) ).
tcf(c_223082,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_221765,c_151]) ).
tcf(c_223083,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221765,c_60]) ).
tcf(c_223085,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_221765,c_293]) ).
tcf(c_223086,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_221765,c_8246]) ).
tcf(c_223087,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_221765,c_8233]) ).
tcf(c_223101,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_223087,c_170458,c_8255]) ).
tcf(c_223104,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_223086,c_173701]) ).
tcf(c_223112,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_221767,c_1177]) ).
tcf(c_223113,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_221767,c_1176]) ).
tcf(c_223114,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_221767,c_151]) ).
tcf(c_223115,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221767,c_60]) ).
tcf(c_223117,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_221767,c_293]) ).
tcf(c_223118,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_221767,c_8246]) ).
tcf(c_223119,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_221767,c_8233]) ).
tcf(c_223133,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_223119,c_174072]) ).
tcf(c_223152,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_221768,c_1177]) ).
tcf(c_223153,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_221768,c_1176]) ).
tcf(c_223154,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_221768,c_151]) ).
tcf(c_223155,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221768,c_60]) ).
tcf(c_223157,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_221768,c_293]) ).
tcf(c_223158,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_221768,c_8246]) ).
tcf(c_223159,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_221768,c_8233]) ).
tcf(c_223173,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_223159,c_174072]) ).
tcf(c_223215,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_200560,c_221771]) ).
tcf(c_223230,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_220117,c_222570]) ).
tcf(c_223270,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_170634,c_221781]) ).
tcf(c_223283,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_223270,c_1177]) ).
tcf(c_223284,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_223270,c_1176]) ).
tcf(c_223285,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_223270,c_151]) ).
tcf(c_223286,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_223270,c_60]) ).
tcf(c_223288,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_223270,c_293]) ).
tcf(c_223289,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_223270,c_8246]) ).
tcf(c_223290,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_223270,c_8233]) ).
tcf(c_223314,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_223290,c_174072]) ).
tcf(c_223373,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_223288,c_170212]) ).
tcf(c_223374,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_223288,c_169784]) ).
tcf(c_223375,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_223288,c_169475]) ).
tcf(c_223376,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_223288,c_167838]) ).
tcf(c_223475,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_223085,c_169840]) ).
tcf(c_223476,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_223085,c_169538]) ).
tcf(c_223486,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_223117,c_170212]) ).
tcf(c_223487,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_223117,c_169784]) ).
tcf(c_223488,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_223117,c_169475]) ).
tcf(c_223489,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_223117,c_167838]) ).
tcf(c_223515,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_223157,c_170212]) ).
tcf(c_223516,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_223157,c_169784]) ).
tcf(c_223517,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_223157,c_169475]) ).
tcf(c_223518,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_223157,c_167838]) ).
tcf(c_223532,plain,
~ r1_tarski(iPr_def_21,iPr_def_24),
inference(global_subsumption_just,[status(thm)],[c_221769,c_11694,c_151660,c_155033]) ).
tcf(c_223539,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_221770,c_1177]) ).
tcf(c_223540,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_221770,c_1176]) ).
tcf(c_223541,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_221770,c_151]) ).
tcf(c_223542,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221770,c_60]) ).
tcf(c_223544,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_221770,c_293]) ).
tcf(c_223545,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_221770,c_8246]) ).
tcf(c_223546,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_221770,c_8233]) ).
tcf(c_223560,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_223546,c_174072]) ).
tcf(c_223572,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_221772,c_1177]) ).
tcf(c_223573,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_221772,c_1176]) ).
tcf(c_223574,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_221772,c_151]) ).
tcf(c_223575,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221772,c_60]) ).
tcf(c_223577,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_221772,c_293]) ).
tcf(c_223578,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_221772,c_8246]) ).
tcf(c_223579,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_221772,c_8233]) ).
tcf(c_223593,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_223579,c_174072]) ).
tcf(c_223634,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_21,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_221782,c_1177]) ).
tcf(c_223635,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_221782,c_1176]) ).
tcf(c_223636,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_221782,c_151]) ).
tcf(c_223637,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221782,c_60]) ).
tcf(c_223639,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_221782,c_293]) ).
tcf(c_223640,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_221782,c_8246]) ).
tcf(c_223641,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_221782,c_8233]) ).
tcf(c_223693,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_223284,c_300]) ).
tcf(c_223694,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_223284,c_157]) ).
tcf(c_223695,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_223284,c_154]) ).
tcf(c_223696,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_223284,c_153]) ).
tcf(c_223697,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_223284,c_156]) ).
tcf(c_223698,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_223284,c_6730]) ).
tcf(c_223703,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_223284,c_170130]) ).
tcf(c_223705,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_223284,c_170212]) ).
tcf(c_223706,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_223284,c_169784]) ).
tcf(c_223707,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_223284,c_169475]) ).
tcf(c_223708,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_223284,c_167838]) ).
tcf(c_223709,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_223284,c_169848]) ).
tcf(c_223710,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_223284,c_169546]) ).
tcf(c_223711,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_223284,c_168446]) ).
tcf(c_223712,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_223284,c_170125]) ).
tcf(c_223713,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_223284,c_169840]) ).
tcf(c_223714,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_223284,c_169538]) ).
tcf(c_223715,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_223284,c_168448]) ).
tcf(c_223842,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_223285,c_1177]) ).
tcf(c_223843,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_223285,c_1176]) ).
tcf(c_223844,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_223285,c_151]) ).
tcf(c_223845,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_223285,c_60]) ).
tcf(c_223848,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_223285,c_8246]) ).
tcf(c_223849,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_223285,c_8233]) ).
tcf(c_223850,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_223285,c_8245]) ).
tcf(c_223851,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_223285,c_8232]) ).
tcf(c_223852,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_223285,c_168239]) ).
tcf(c_223853,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_223285,c_168240]) ).
tcf(c_223854,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_223285,c_168265]) ).
tcf(c_223856,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_223285,c_203239]) ).
tcf(c_223857,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_223285,c_169314]) ).
tcf(c_223859,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_223285,c_181361]) ).
tcf(c_223860,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_223285,c_172930]) ).
tcf(c_223862,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_223285,c_179337]) ).
tcf(c_223867,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_223285,c_180305]) ).
tcf(c_223868,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_223285,c_180432]) ).
tcf(c_223869,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_223285,c_180667]) ).
tcf(c_223870,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_223285,c_180717]) ).
tcf(c_223872,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_223285,c_181537]) ).
tcf(c_223873,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_223285,c_184526]) ).
tcf(c_223874,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_223285,c_184616]) ).
tcf(c_223875,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_223285,c_196494]) ).
tcf(c_223878,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_223285,c_185126]) ).
tcf(c_223879,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_223285,c_185210]) ).
tcf(c_223880,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_223285,c_187660]) ).
tcf(c_223883,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_223285,c_191768]) ).
tcf(c_223884,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_223285,c_198682]) ).
tcf(c_223885,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_223285,c_204502]) ).
tcf(c_223887,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_223285,c_207473]) ).
tcf(c_224017,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_223853,c_168076]) ).
tcf(c_224313,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_222571,c_298]) ).
tcf(c_224346,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_8225,c_217359]) ).
tcf(c_224347,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_176042,c_217359]) ).
tcf(c_224348,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_169791,c_217359]) ).
tcf(c_224349,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_198853,c_217359]) ).
tcf(c_224350,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_224346,c_8223]) ).
tcf(c_224351,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_224350,c_8253]) ).
tcf(c_224354,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_224347,c_176041]) ).
tcf(c_224355,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_224348,c_170219]) ).
tcf(c_224356,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_224349,c_198856]) ).
tcf(c_224357,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_224356,c_210267]) ).
tcf(c_224372,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_8225,c_218021]) ).
tcf(c_224373,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_176042,c_218021]) ).
tcf(c_224374,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_169791,c_218021]) ).
tcf(c_224375,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_198853,c_218021]) ).
tcf(c_224376,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_224372,c_8223]) ).
tcf(c_224377,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_224373,c_176041]) ).
tcf(c_224378,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_224374,c_170219]) ).
tcf(c_224379,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_224378,c_172]) ).
tcf(c_224382,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_224375,c_198856]) ).
tcf(c_224383,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_224382,c_210267]) ).
tcf(c_224405,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_204737,c_218021]) ).
tcf(c_224406,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_204737,c_217359]) ).
tcf(c_224407,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_204737,c_216637]) ).
tcf(c_224408,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_204737,c_169420]) ).
tcf(c_224409,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_204737,c_213935]) ).
tcf(c_224410,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_204737,c_209580]) ).
tcf(c_224411,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_204737,c_207483]) ).
tcf(c_224412,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_204737,c_204512]) ).
tcf(c_224413,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_204737,c_203250]) ).
tcf(c_224414,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_204737,c_203112]) ).
tcf(c_224415,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_204737,c_206878]) ).
tcf(c_224416,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_204737,c_206791]) ).
tcf(c_224417,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_204737,c_205055]) ).
tcf(c_224418,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_204737,c_206096]) ).
tcf(c_224419,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_204737,c_172937]) ).
tcf(c_224420,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_204737,c_198692]) ).
tcf(c_224421,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_204737,c_175338]) ).
tcf(c_224422,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_204737,c_175669]) ).
tcf(c_224423,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_204737,c_168649]) ).
tcf(c_224424,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_204737,c_172211]) ).
tcf(c_224425,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_204737,c_172174]) ).
tcf(c_224426,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_204737,c_171650]) ).
tcf(c_224427,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_204737,c_171633]) ).
tcf(c_224428,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_204737,c_171608]) ).
tcf(c_224429,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_204737,c_170440]) ).
tcf(c_224430,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_204737,c_169318]) ).
tcf(c_224431,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_204737,c_169317]) ).
tcf(c_224432,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_204737,c_169655]) ).
tcf(c_224433,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_204737,c_169639]) ).
tcf(c_224434,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_204737,c_169322]) ).
tcf(c_224435,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_204737,c_169321]) ).
tcf(c_224436,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_204737,c_169423]) ).
tcf(c_224437,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_204737,c_169313]) ).
tcf(c_224438,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_204737,c_169315]) ).
tcf(c_224439,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_204737,c_168241]) ).
tcf(c_224440,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_204737,c_168221]) ).
tcf(c_224441,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_204737,c_168084]) ).
tcf(c_224442,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_204737,c_168120]) ).
tcf(c_224443,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_204737,c_167694]) ).
tcf(c_224444,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_204737,c_167670]) ).
tcf(c_224445,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_204737,c_8262]) ).
tcf(c_224459,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_224445,c_204740]) ).
tcf(c_224462,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_224441,c_204740]) ).
tcf(c_224465,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_224439,c_204740]) ).
tcf(c_224472,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_224429,c_204737]) ).
tcf(c_224476,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_224420,c_204740]) ).
tcf(c_224480,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_224437,c_204740]) ).
tcf(c_224485,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_224417,c_204740]) ).
tcf(c_224490,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_224414,c_204740]) ).
tcf(c_224494,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_224413,c_204740]) ).
tcf(c_224498,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_224412,c_204740]) ).
tcf(c_224502,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_224411,c_204740]) ).
tcf(c_224506,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_224410,c_204740]) ).
tcf(c_224510,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_224409,c_204740]) ).
tcf(c_224514,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_224407,c_204740]) ).
tcf(c_224518,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_224406,c_204740]) ).
tcf(c_224522,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_224405,c_204740]) ).
tcf(c_224526,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_224419,c_204740]) ).
tcf(c_224530,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_224428,c_204737]) ).
tcf(c_224535,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_224408,c_204740]) ).
tcf(c_224539,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_224436,c_204740]) ).
tcf(c_224544,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_224433,c_204740]) ).
tcf(c_224549,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_224432,c_204740]) ).
tcf(c_224554,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_224416,c_204737]) ).
tcf(c_224560,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_224427,c_204737,c_204740]) ).
tcf(c_224566,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_224415,c_204737,c_204740]) ).
tcf(c_224572,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_224444,c_204737,c_204740]) ).
tcf(c_224576,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_224435,c_204740]) ).
tcf(c_224581,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_224434,c_204740]) ).
tcf(c_224586,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_224431,c_204740]) ).
tcf(c_224592,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_224430,c_204740]) ).
tcf(c_224598,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_224443,c_204737,c_204740]) ).
tcf(c_224603,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_224425,c_204737,c_204740]) ).
tcf(c_224608,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_224426,c_204737,c_204740]) ).
tcf(c_224616,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_224424,c_204737,c_204740]) ).
tcf(c_224751,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_223544,c_170212]) ).
tcf(c_224752,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_223544,c_169784]) ).
tcf(c_224753,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_223544,c_169475]) ).
tcf(c_224754,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_223544,c_167838]) ).
tcf(c_224790,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_223577,c_170212]) ).
tcf(c_224791,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_223577,c_169784]) ).
tcf(c_224792,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_223577,c_169475]) ).
tcf(c_224793,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_223577,c_167838]) ).
tcf(c_224816,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_221785,c_1177]) ).
tcf(c_224817,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_221785,c_1176]) ).
tcf(c_224818,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_221785,c_151]) ).
tcf(c_224819,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_221785,c_60]) ).
tcf(c_224821,plain,
( m1_subset_1(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_221785,c_293]) ).
tcf(c_224822,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_221785,c_8246]) ).
tcf(c_224823,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_221785,c_8233]) ).
tcf(c_224837,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_224823,c_174072]) ).
tcf(c_224926,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_224821,c_170212]) ).
tcf(c_224927,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_224821,c_169784]) ).
tcf(c_224928,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_224821,c_169475]) ).
tcf(c_224929,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_224821,c_167838]) ).
tcf(c_224973,plain,
~ v1_xboole_0(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(global_subsumption_just,[status(thm)],[c_224442,c_62401,c_91012]) ).
tcf(c_224975,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_224459,c_62418,c_91012]) ).
tcf(c_224977,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_224975,c_1177]) ).
tcf(c_224978,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_224975,c_1176]) ).
tcf(c_224979,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_224975,c_151]) ).
tcf(c_224980,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_224975,c_60]) ).
tcf(c_224982,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_224975,c_293]) ).
tcf(c_224983,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_224975,c_8246]) ).
tcf(c_224984,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_224975,c_8233]) ).
tcf(c_224985,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_224975,c_8232]) ).
tcf(c_225007,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_168397,c_224977]) ).
tcf(c_225008,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_170634,c_224977]) ).
tcf(c_225009,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_170628,c_224977]) ).
tcf(c_225033,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_225008,c_116281]) ).
tcf(c_225041,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_220117,c_225033]) ).
tcf(c_225053,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_168397,c_224978]) ).
tcf(c_225054,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_170634,c_224978]) ).
tcf(c_225055,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_170628,c_224978]) ).
tcf(c_225056,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_175337,c_224978]) ).
tcf(c_225071,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_225054,c_120868]) ).
tcf(c_225079,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_225071,c_298]) ).
tcf(c_225096,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_224422,c_62381,c_91012]) ).
tcf(c_225127,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_225056,c_91012,c_120854]) ).
tcf(c_225129,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_225127,c_298]) ).
tcf(c_225130,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_225127,c_170212]) ).
tcf(c_225131,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_225127,c_169784]) ).
tcf(c_225132,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_225127,c_169475]) ).
tcf(c_225133,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_225127,c_167838]) ).
tcf(c_225134,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_225129,c_8235]) ).
tcf(c_225148,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_225134,c_1176]) ).
tcf(c_225149,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_225134,c_151]) ).
tcf(c_225150,plain,
~ r2_hidden(iPr_def_20,k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20)))),
inference(superposition,[status(thm)],[c_225134,c_60]) ).
tcf(c_225153,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_225134,c_8246]) ).
tcf(c_225154,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_225134,c_8233]) ).
tcf(c_225159,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_225154,c_225131,c_225132]) ).
tcf(c_225160,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_225159,c_174072]) ).
tcf(c_225172,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_168397,c_224979]) ).
tcf(c_225173,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_170634,c_224979]) ).
tcf(c_225174,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_170628,c_224979]) ).
tcf(c_225188,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_225173,c_121035]) ).
tcf(c_225196,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_225188,c_1177]) ).
tcf(c_225197,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_225188,c_1176]) ).
tcf(c_225198,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_225188,c_151]) ).
tcf(c_225199,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_225188,c_60]) ).
tcf(c_225202,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_225188,c_8246]) ).
tcf(c_225203,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_225188,c_8233]) ).
tcf(c_225219,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_225203,c_225131,c_225132]) ).
tcf(c_225357,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_184879,c_64696]) ).
tcf(c_225367,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_224423,c_62382,c_91012]) ).
tcf(c_225370,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_225367,c_1176]) ).
tcf(c_225371,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_225367,c_151]) ).
tcf(c_225374,plain,
m1_subset_1(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_21),
inference(superposition,[status(thm)],[c_225367,c_293]) ).
tcf(c_225375,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_225367,c_8246]) ).
tcf(c_225376,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_225367,c_8233]) ).
tcf(c_225422,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_225374,c_170220]) ).
tcf(c_225423,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_225374,c_169792]) ).
tcf(c_225424,plain,
r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_20),
inference(superposition,[status(thm)],[c_225374,c_168447]) ).
tcf(c_225425,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_225374,c_169483]) ).
tcf(c_225426,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_225374,c_170130]) ).
tcf(c_225427,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_225374,c_167885]) ).
tcf(c_225456,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_222952,c_1176]) ).
tcf(c_225457,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_222952,c_151]) ).
tcf(c_225458,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_222952,c_60]) ).
tcf(c_225461,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_222952,c_8246]) ).
tcf(c_225462,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_222952,c_8233]) ).
tcf(c_225463,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_222952,c_8245]) ).
tcf(c_225464,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_222952,c_8232]) ).
tcf(c_225465,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_222952,c_168239]) ).
tcf(c_225466,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_222952,c_168240]) ).
tcf(c_225467,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_222952,c_168265]) ).
tcf(c_225469,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_222952,c_203239]) ).
tcf(c_225470,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_222952,c_169314]) ).
tcf(c_225472,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_222952,c_181361]) ).
tcf(c_225473,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_222952,c_172930]) ).
tcf(c_225475,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_222952,c_179337]) ).
tcf(c_225480,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_222952,c_180305]) ).
tcf(c_225481,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_222952,c_180432]) ).
tcf(c_225482,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_222952,c_180667]) ).
tcf(c_225483,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_222952,c_180717]) ).
tcf(c_225485,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_222952,c_181537]) ).
tcf(c_225486,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_222952,c_184526]) ).
tcf(c_225487,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_222952,c_184616]) ).
tcf(c_225488,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_222952,c_196494]) ).
tcf(c_225491,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_222952,c_185126]) ).
tcf(c_225492,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_222952,c_185210]) ).
tcf(c_225493,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_222952,c_187660]) ).
tcf(c_225496,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_222952,c_191768]) ).
tcf(c_225534,plain,
~ r1_tarski(iPr_def_21,sK12(k1_tarski(k1_funct_1(sK4,sK12(iPr_def_20))))),
inference(forward_subsumption_resolution,[status(thm)],[c_225473,c_190]) ).
tcf(c_225548,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_225466,c_222955]) ).
tcf(c_225551,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_225465,c_217250]) ).
tcf(c_225751,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_168436,c_179336]) ).
tcf(c_225752,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_169140,c_179336]) ).
tcf(c_225753,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_169162,c_179336]) ).
tcf(c_225754,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_168563,c_179336]) ).
tcf(c_225756,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_169193,c_179336]) ).
tcf(c_225757,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_168438,c_179336]) ).
tcf(c_225758,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_168439,c_179336]) ).
tcf(c_225759,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_168537,c_179336]) ).
tcf(c_225760,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_168859,c_179336]) ).
tcf(c_225761,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_169532,c_179336]) ).
tcf(c_225762,plain,
( r2_hidden(sK16(iPr_def_18),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_179336]) ).
tcf(c_225763,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_168441,c_179336]) ).
tcf(c_225764,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_168442,c_179336]) ).
tcf(c_225765,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_168389,c_179336]) ).
tcf(c_225766,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_168397,c_179336]) ).
tcf(c_225767,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_168435,c_179336]) ).
tcf(c_225769,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_201107,c_179336]) ).
tcf(c_225770,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_192817,c_179336]) ).
tcf(c_225771,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_186159,c_179336]) ).
tcf(c_225772,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_174623,c_179336]) ).
tcf(c_225773,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_168783,c_179336]) ).
tcf(c_225774,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_201149,c_179336]) ).
tcf(c_225775,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_192970,c_179336]) ).
tcf(c_225776,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_186200,c_179336]) ).
tcf(c_225777,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_174651,c_179336]) ).
tcf(c_225778,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_168960,c_179336]) ).
tcf(c_225779,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_169395,c_179336]) ).
tcf(c_225780,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_175338,c_179336]) ).
tcf(c_225781,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_201009,c_179336]) ).
tcf(c_225782,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_185810,c_179336]) ).
tcf(c_225783,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_174444,c_179336]) ).
tcf(c_225784,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_169723,c_179336]) ).
tcf(c_225785,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_201035,c_179336]) ).
tcf(c_225786,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_186095,c_179336]) ).
tcf(c_225787,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_174484,c_179336]) ).
tcf(c_225788,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_169942,c_179336]) ).
tcf(c_225789,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_201061,c_179336]) ).
tcf(c_225790,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_186121,c_179336]) ).
tcf(c_225791,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_174571,c_179336]) ).
tcf(c_225792,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_169968,c_179336]) ).
tcf(c_225793,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_170634,c_179336]) ).
tcf(c_225794,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_170628,c_179336]) ).
tcf(c_225795,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_168380,c_179336]) ).
tcf(c_225796,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_168375,c_179336]) ).
tcf(c_225797,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_171942,c_179336]) ).
tcf(c_225798,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_168370,c_179336]) ).
tcf(c_225800,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_179336]) ).
tcf(c_225801,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_179336]) ).
tcf(c_225802,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_175002,c_179336]) ).
tcf(c_225803,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_175027,c_179336]) ).
tcf(c_225804,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_179336]) ).
tcf(c_225805,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_179336]) ).
tcf(c_225806,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_179336]) ).
tcf(c_225810,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_175075,c_179336]) ).
tcf(c_225814,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_175079,c_179336]) ).
tcf(c_225815,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_175080,c_179336]) ).
tcf(c_225816,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_179336]) ).
tcf(c_225817,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_204223,c_179336]) ).
tcf(c_225818,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_179336]) ).
tcf(c_225819,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_179336]) ).
tcf(c_225820,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_179336]) ).
tcf(c_225821,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_179336]) ).
tcf(c_225822,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_175337,c_179336]) ).
tcf(c_225823,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_179336]) ).
tcf(c_225824,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_179336]) ).
tcf(c_225825,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_175344,c_179336]) ).
tcf(c_225826,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_175346,c_179336]) ).
tcf(c_225827,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_175347,c_179336]) ).
tcf(c_225828,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_175348,c_179336]) ).
tcf(c_225829,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_179336]) ).
tcf(c_225830,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_179336]) ).
tcf(c_225831,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_179336]) ).
tcf(c_225832,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_175352,c_179336]) ).
tcf(c_225833,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_179336]) ).
tcf(c_225834,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_179336]) ).
tcf(c_225835,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_175460,c_179336]) ).
tcf(c_225836,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_179336]) ).
tcf(c_225837,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_177405,c_179336]) ).
tcf(c_225838,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_178116,c_179336]) ).
tcf(c_225839,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_178122,c_179336]) ).
tcf(c_225840,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_178130,c_179336]) ).
tcf(c_225841,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_178134,c_179336]) ).
tcf(c_225843,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_194181,c_179336]) ).
tcf(c_225844,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_181097,c_179336]) ).
tcf(c_225845,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_181888,c_179336]) ).
tcf(c_225846,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_181892,c_179336]) ).
tcf(c_225850,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_182352,c_179336]) ).
tcf(c_225851,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_182356,c_179336]) ).
tcf(c_225852,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_182531,c_179336]) ).
tcf(c_225853,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_182535,c_179336]) ).
tcf(c_225854,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_182660,c_179336]) ).
tcf(c_225855,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_182664,c_179336]) ).
tcf(c_225862,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_183256,c_179336]) ).
tcf(c_225863,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_183265,c_179336]) ).
tcf(c_225864,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_183402,c_179336]) ).
tcf(c_225865,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_183406,c_179336]) ).
tcf(c_225868,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_183684,c_179336]) ).
tcf(c_225869,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_183688,c_179336]) ).
tcf(c_225870,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_183836,c_179336]) ).
tcf(c_225871,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_183845,c_179336]) ).
tcf(c_225872,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_184349,c_179336]) ).
tcf(c_225874,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_192418,c_179336]) ).
tcf(c_225875,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_192551,c_179336]) ).
tcf(c_225879,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_194654,c_179336]) ).
tcf(c_225881,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_195334,c_179336]) ).
tcf(c_225883,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_201209,c_179336]) ).
tcf(c_225885,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_204699,c_179336]) ).
tcf(c_225886,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_204083,c_179336]) ).
tcf(c_225889,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_210576,c_179336]) ).
tcf(c_225890,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_207104,c_179336]) ).
tcf(c_225891,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_214415,c_179336]) ).
tcf(c_225892,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_217252,c_179336]) ).
tcf(c_225893,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_222973,c_179336]) ).
tcf(c_226797,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_225424,c_179336]) ).
tcf(c_226798,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_225424,c_179237]) ).
tcf(c_226804,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_225424,c_170897]) ).
tcf(c_226816,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_226804,c_174072,c_225374]) ).
tcf(c_226932,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_225793,c_1177]) ).
tcf(c_226933,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_225793,c_1176]) ).
tcf(c_226934,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_225793,c_151]) ).
tcf(c_226935,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_225793,c_60]) ).
tcf(c_226936,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_225793,c_304]) ).
tcf(c_226937,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_225793,c_293]) ).
tcf(c_226938,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_225793,c_8246]) ).
tcf(c_226939,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_225793,c_8233]) ).
tcf(c_227977,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_168436,c_180059]) ).
tcf(c_227978,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_169140,c_180059]) ).
tcf(c_227979,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_169162,c_180059]) ).
tcf(c_227980,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_168563,c_180059]) ).
tcf(c_227982,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_169193,c_180059]) ).
tcf(c_227983,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_168438,c_180059]) ).
tcf(c_227984,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_168439,c_180059]) ).
tcf(c_227985,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_168537,c_180059]) ).
tcf(c_227986,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_168859,c_180059]) ).
tcf(c_227987,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_169532,c_180059]) ).
tcf(c_227988,plain,
( r2_hidden(sK17(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180059]) ).
tcf(c_227989,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_168441,c_180059]) ).
tcf(c_227990,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_168442,c_180059]) ).
tcf(c_227991,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_168389,c_180059]) ).
tcf(c_227992,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_168397,c_180059]) ).
tcf(c_227993,plain,
! [X0: $i] :
( r2_hidden(sK17(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_180059]) ).
tcf(c_228005,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_169395,c_180059]) ).
tcf(c_228006,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_175338,c_180059]) ).
tcf(c_228019,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_170634,c_180059]) ).
tcf(c_228020,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_170628,c_180059]) ).
tcf(c_228021,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_168380,c_180059]) ).
tcf(c_228022,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_168375,c_180059]) ).
tcf(c_228023,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_171942,c_180059]) ).
tcf(c_228025,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_180059]) ).
tcf(c_228027,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_180059]) ).
tcf(c_228028,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_175002,c_180059]) ).
tcf(c_228029,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_175027,c_180059]) ).
tcf(c_228030,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180059]) ).
tcf(c_228031,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180059]) ).
tcf(c_228032,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180059]) ).
tcf(c_228033,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_180059]) ).
tcf(c_228034,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_175073,c_180059]) ).
tcf(c_228035,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_175074,c_180059]) ).
tcf(c_228036,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_175075,c_180059]) ).
tcf(c_228037,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_180059]) ).
tcf(c_228038,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_180059]) ).
tcf(c_228039,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_180059]) ).
tcf(c_228040,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_175079,c_180059]) ).
tcf(c_228041,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_175080,c_180059]) ).
tcf(c_228042,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180059]) ).
tcf(c_228044,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180059]) ).
tcf(c_228045,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180059]) ).
tcf(c_228047,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180059]) ).
tcf(c_228048,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_175337,c_180059]) ).
tcf(c_228049,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180059]) ).
tcf(c_228051,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_175344,c_180059]) ).
tcf(c_228054,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_175348,c_180059]) ).
tcf(c_228058,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_175352,c_180059]) ).
tcf(c_228059,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180059]) ).
tcf(c_228060,plain,
( r2_hidden(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_180059]) ).
tcf(c_228061,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_175460,c_180059]) ).
tcf(c_228062,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180059]) ).
tcf(c_228064,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_178116,c_180059]) ).
tcf(c_228065,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_178122,c_180059]) ).
tcf(c_228066,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_178130,c_180059]) ).
tcf(c_228067,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_178134,c_180059]) ).
tcf(c_228068,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_179657,c_180059]) ).
tcf(c_228073,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_204357,c_180059]) ).
tcf(c_228074,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_182015,c_180059]) ).
tcf(c_228075,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_182028,c_180059]) ).
tcf(c_228082,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_182816,c_180059]) ).
tcf(c_228083,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_182829,c_180059]) ).
tcf(c_228084,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_183007,c_180059]) ).
tcf(c_228085,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_183020,c_180059]) ).
tcf(c_228086,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_183125,c_180059]) ).
tcf(c_228087,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_183138,c_180059]) ).
tcf(c_228088,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_183256,c_180059]) ).
tcf(c_228089,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_183265,c_180059]) ).
tcf(c_228092,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_183554,c_180059]) ).
tcf(c_228093,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_183567,c_180059]) ).
tcf(c_228096,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_183836,c_180059]) ).
tcf(c_228097,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_183845,c_180059]) ).
tcf(c_228099,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184408,c_180059]) ).
tcf(c_228100,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_192418,c_180059]) ).
tcf(c_228101,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_192551,c_180059]) ).
tcf(c_228102,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_193509,c_180059]) ).
tcf(c_228103,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_193716,c_180059]) ).
tcf(c_228104,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_194002,c_180059]) ).
tcf(c_228106,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_194816,c_180059]) ).
tcf(c_228108,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_196055,c_180059]) ).
tcf(c_228109,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_201209,c_180059]) ).
tcf(c_228112,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_204083,c_180059]) ).
tcf(c_228115,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_210576,c_180059]) ).
tcf(c_228116,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_207104,c_180059]) ).
tcf(c_228117,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_214415,c_180059]) ).
tcf(c_228118,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_217252,c_180059]) ).
tcf(c_228119,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_222973,c_180059]) ).
tcf(c_228120,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_225424,c_180059]) ).
tcf(c_228829,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_168436,c_180139]) ).
tcf(c_228830,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_169140,c_180139]) ).
tcf(c_228831,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_169162,c_180139]) ).
tcf(c_228832,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_168563,c_180139]) ).
tcf(c_228834,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_169193,c_180139]) ).
tcf(c_228835,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_168438,c_180139]) ).
tcf(c_228836,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_168439,c_180139]) ).
tcf(c_228837,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_168537,c_180139]) ).
tcf(c_228838,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_168859,c_180139]) ).
tcf(c_228839,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_169532,c_180139]) ).
tcf(c_228840,plain,
( r2_hidden(sK19(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180139]) ).
tcf(c_228841,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_168441,c_180139]) ).
tcf(c_228842,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_168442,c_180139]) ).
tcf(c_228843,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_168389,c_180139]) ).
tcf(c_228844,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_168397,c_180139]) ).
tcf(c_228845,plain,
! [X0: $i] :
( r2_hidden(sK19(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_180139]) ).
tcf(c_228857,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_169395,c_180139]) ).
tcf(c_228858,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_175338,c_180139]) ).
tcf(c_228871,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_170634,c_180139]) ).
tcf(c_228872,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_170628,c_180139]) ).
tcf(c_228873,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_168380,c_180139]) ).
tcf(c_228874,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_168375,c_180139]) ).
tcf(c_228875,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_171942,c_180139]) ).
tcf(c_228877,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_180139]) ).
tcf(c_228879,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_180139]) ).
tcf(c_228880,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_175002,c_180139]) ).
tcf(c_228881,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_175027,c_180139]) ).
tcf(c_228882,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180139]) ).
tcf(c_228883,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180139]) ).
tcf(c_228884,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180139]) ).
tcf(c_228885,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_180139]) ).
tcf(c_228886,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_175073,c_180139]) ).
tcf(c_228887,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_175074,c_180139]) ).
tcf(c_228888,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_175075,c_180139]) ).
tcf(c_228889,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_180139]) ).
tcf(c_228890,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_180139]) ).
tcf(c_228891,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_180139]) ).
tcf(c_228892,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_175079,c_180139]) ).
tcf(c_228893,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_175080,c_180139]) ).
tcf(c_228894,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180139]) ).
tcf(c_228896,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180139]) ).
tcf(c_228897,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180139]) ).
tcf(c_228899,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180139]) ).
tcf(c_228900,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_175337,c_180139]) ).
tcf(c_228901,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180139]) ).
tcf(c_228903,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_175344,c_180139]) ).
tcf(c_228906,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_175348,c_180139]) ).
tcf(c_228910,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_175352,c_180139]) ).
tcf(c_228911,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180139]) ).
tcf(c_228912,plain,
( r2_hidden(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_180139]) ).
tcf(c_228913,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_175460,c_180139]) ).
tcf(c_228914,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180139]) ).
tcf(c_228916,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_178116,c_180139]) ).
tcf(c_228917,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_178122,c_180139]) ).
tcf(c_228918,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_178130,c_180139]) ).
tcf(c_228919,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_178134,c_180139]) ).
tcf(c_228920,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_179657,c_180139]) ).
tcf(c_228925,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_204357,c_180139]) ).
tcf(c_228926,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_182015,c_180139]) ).
tcf(c_228927,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_182028,c_180139]) ).
tcf(c_228934,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_182816,c_180139]) ).
tcf(c_228935,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_182829,c_180139]) ).
tcf(c_228936,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_183007,c_180139]) ).
tcf(c_228937,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_183020,c_180139]) ).
tcf(c_228938,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_183125,c_180139]) ).
tcf(c_228939,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_183138,c_180139]) ).
tcf(c_228940,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_183256,c_180139]) ).
tcf(c_228941,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_183265,c_180139]) ).
tcf(c_228944,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_183554,c_180139]) ).
tcf(c_228945,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_183567,c_180139]) ).
tcf(c_228948,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_183836,c_180139]) ).
tcf(c_228949,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_183845,c_180139]) ).
tcf(c_228951,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184408,c_180139]) ).
tcf(c_228952,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_192418,c_180139]) ).
tcf(c_228953,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_192551,c_180139]) ).
tcf(c_228954,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_193509,c_180139]) ).
tcf(c_228955,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_193716,c_180139]) ).
tcf(c_228956,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_194002,c_180139]) ).
tcf(c_228958,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_194816,c_180139]) ).
tcf(c_228960,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_196055,c_180139]) ).
tcf(c_228961,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_201209,c_180139]) ).
tcf(c_228964,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_204083,c_180139]) ).
tcf(c_228967,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_210576,c_180139]) ).
tcf(c_228968,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_207104,c_180139]) ).
tcf(c_228969,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_214415,c_180139]) ).
tcf(c_228970,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_217252,c_180139]) ).
tcf(c_228971,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_222973,c_180139]) ).
tcf(c_228972,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_225424,c_180139]) ).
tcf(c_229561,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK16(X0)) ),
inference(superposition,[status(thm)],[c_168436,c_180236]) ).
tcf(c_229562,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_169140,c_180236]) ).
tcf(c_229563,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_169162,c_180236]) ).
tcf(c_229564,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_168563,c_180236]) ).
tcf(c_229566,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_169193,c_180236]) ).
tcf(c_229567,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_168438,c_180236]) ).
tcf(c_229568,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_168439,c_180236]) ).
tcf(c_229569,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_168537,c_180236]) ).
tcf(c_229570,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_168859,c_180236]) ).
tcf(c_229571,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_169532,c_180236]) ).
tcf(c_229572,plain,
( r2_hidden(sK25(sK2),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180236]) ).
tcf(c_229573,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_168441,c_180236]) ).
tcf(c_229574,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_168442,c_180236]) ).
tcf(c_229575,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_168389,c_180236]) ).
tcf(c_229576,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_168397,c_180236]) ).
tcf(c_229577,plain,
! [X0: $i] :
( r2_hidden(sK25(sK2),X0)
| ~ r1_tarski(iPr_def_21,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_180236]) ).
tcf(c_229589,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_169395,c_180236]) ).
tcf(c_229590,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_175338,c_180236]) ).
tcf(c_229603,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_170634,c_180236]) ).
tcf(c_229604,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_170628,c_180236]) ).
tcf(c_229605,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_168380,c_180236]) ).
tcf(c_229606,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_168375,c_180236]) ).
tcf(c_229607,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_171942,c_180236]) ).
tcf(c_229609,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_180236]) ).
tcf(c_229611,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_180236]) ).
tcf(c_229612,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_175002,c_180236]) ).
tcf(c_229613,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_175027,c_180236]) ).
tcf(c_229614,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180236]) ).
tcf(c_229615,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180236]) ).
tcf(c_229616,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180236]) ).
tcf(c_229617,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_180236]) ).
tcf(c_229618,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK10(sK3))) ),
inference(superposition,[status(thm)],[c_175073,c_180236]) ).
tcf(c_229619,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,u1_struct_0(sK14(sK3))) ),
inference(superposition,[status(thm)],[c_175074,c_180236]) ).
tcf(c_229620,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_175075,c_180236]) ).
tcf(c_229621,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_180236]) ).
tcf(c_229622,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_180236]) ).
tcf(c_229623,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_180236]) ).
tcf(c_229624,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_175079,c_180236]) ).
tcf(c_229625,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_175080,c_180236]) ).
tcf(c_229626,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180236]) ).
tcf(c_229628,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180236]) ).
tcf(c_229629,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180236]) ).
tcf(c_229631,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180236]) ).
tcf(c_229632,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_175337,c_180236]) ).
tcf(c_229633,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180236]) ).
tcf(c_229635,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_175344,c_180236]) ).
tcf(c_229638,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_175348,c_180236]) ).
tcf(c_229642,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_175352,c_180236]) ).
tcf(c_229643,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180236]) ).
tcf(c_229644,plain,
( r2_hidden(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_180236]) ).
tcf(c_229645,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_175460,c_180236]) ).
tcf(c_229646,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180236]) ).
tcf(c_229648,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_178116,c_180236]) ).
tcf(c_229649,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_178122,c_180236]) ).
tcf(c_229650,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_178130,c_180236]) ).
tcf(c_229651,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_178134,c_180236]) ).
tcf(c_229652,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_179657,c_180236]) ).
tcf(c_229657,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_204357,c_180236]) ).
tcf(c_229658,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_182015,c_180236]) ).
tcf(c_229659,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_182028,c_180236]) ).
tcf(c_229666,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_182816,c_180236]) ).
tcf(c_229667,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_182829,c_180236]) ).
tcf(c_229668,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_183007,c_180236]) ).
tcf(c_229669,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_183020,c_180236]) ).
tcf(c_229670,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_183125,c_180236]) ).
tcf(c_229671,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_183138,c_180236]) ).
tcf(c_229672,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_183256,c_180236]) ).
tcf(c_229673,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_183265,c_180236]) ).
tcf(c_229676,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_183554,c_180236]) ).
tcf(c_229677,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_183567,c_180236]) ).
tcf(c_229680,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_183836,c_180236]) ).
tcf(c_229681,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_183845,c_180236]) ).
tcf(c_229683,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,k1_tarski(sK12(iPr_def_18))) ),
inference(superposition,[status(thm)],[c_184408,c_180236]) ).
tcf(c_229684,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_192418,c_180236]) ).
tcf(c_229685,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_192551,c_180236]) ).
tcf(c_229686,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_193509,c_180236]) ).
tcf(c_229687,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_193716,c_180236]) ).
tcf(c_229688,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_194002,c_180236]) ).
tcf(c_229690,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_194816,c_180236]) ).
tcf(c_229692,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_196055,c_180236]) ).
tcf(c_229693,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_201209,c_180236]) ).
tcf(c_229696,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_204083,c_180236]) ).
tcf(c_229699,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_210576,c_180236]) ).
tcf(c_229700,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_207104,c_180236]) ).
tcf(c_229701,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_214415,c_180236]) ).
tcf(c_229702,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_217252,c_180236]) ).
tcf(c_229703,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_222973,c_180236]) ).
tcf(c_229704,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_225424,c_180236]) ).
tcf(c_230722,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_228019,c_1176]) ).
tcf(c_230723,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_228019,c_151]) ).
tcf(c_230724,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_228019,c_60]) ).
tcf(c_230726,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_228019,c_293]) ).
tcf(c_230727,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_228019,c_8246]) ).
tcf(c_230728,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_228019,c_8233]) ).
tcf(c_230805,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_228871,c_1176]) ).
tcf(c_230806,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_228871,c_151]) ).
tcf(c_230807,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_228871,c_60]) ).
tcf(c_230809,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_228871,c_293]) ).
tcf(c_230810,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_228871,c_8246]) ).
tcf(c_230811,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_228871,c_8233]) ).
tcf(c_230948,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_229603,c_1176]) ).
tcf(c_230949,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_229603,c_151]) ).
tcf(c_230950,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_229603,c_60]) ).
tcf(c_230952,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_229603,c_293]) ).
tcf(c_230953,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_229603,c_8246]) ).
tcf(c_230954,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_229603,c_8233]) ).
tcf(c_231019,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_204740,c_169420]) ).
tcf(c_231020,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_204740,c_172937]) ).
tcf(c_231021,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_204740,c_191778]) ).
tcf(c_231022,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_204740,c_191581]) ).
tcf(c_231023,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_204740,c_189286]) ).
tcf(c_231024,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_204740,c_187671]) ).
tcf(c_231025,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_204740,c_185220]) ).
tcf(c_231026,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_204740,c_185136]) ).
tcf(c_231027,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_204740,c_185051]) ).
tcf(c_231028,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_204740,c_184736]) ).
tcf(c_231029,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_204740,c_184626]) ).
tcf(c_231030,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_204740,c_184536]) ).
tcf(c_231031,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_204740,c_181546]) ).
tcf(c_231032,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_204740,c_181454]) ).
tcf(c_231033,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_204740,c_181370]) ).
tcf(c_231034,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_204740,c_181228]) ).
tcf(c_231035,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_204740,c_180726]) ).
tcf(c_231036,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_204740,c_180676]) ).
tcf(c_231037,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_204740,c_180441]) ).
tcf(c_231038,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_204740,c_180314]) ).
tcf(c_231039,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_204740,c_180246]) ).
tcf(c_231040,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_204740,c_180149]) ).
tcf(c_231041,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_204740,c_180069]) ).
tcf(c_231042,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_204740,c_179346]) ).
tcf(c_231043,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_204740,c_179247]) ).
tcf(c_231045,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_204740,c_176839]) ).
tcf(c_231046,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_204740,c_180601]) ).
tcf(c_231047,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_204740,c_175460]) ).
tcf(c_231048,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_204740,c_175348]) ).
tcf(c_231049,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_204740,c_175075]) ).
tcf(c_231050,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_204740,c_168655]) ).
tcf(c_231051,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_204740,c_174048]) ).
tcf(c_231052,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_204740,c_169395]) ).
tcf(c_231053,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_204740,c_171650]) ).
tcf(c_231054,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_204740,c_170450]) ).
tcf(c_231055,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_204740,c_169322]) ).
tcf(c_231056,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_204740,c_169321]) ).
tcf(c_231057,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_204740,c_169316]) ).
tcf(c_231058,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_204740,c_169062]) ).
tcf(c_231059,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_204740,c_168241]) ).
tcf(c_231060,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_204740,c_168084]) ).
tcf(c_231061,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_204740,c_168060]) ).
tcf(c_231062,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_204740,c_8262]) ).
tcf(c_231063,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_204740,c_196504]) ).
tcf(c_231064,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_204740,c_169423]) ).
tcf(c_231065,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_204740,c_169314]) ).
tcf(c_231075,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_231058,c_204737]) ).
tcf(c_231079,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_231057,c_204737]) ).
tcf(c_231083,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_231049,c_204737]) ).
tcf(c_231087,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_231048,c_204737]) ).
tcf(c_231091,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_231047,c_204737]) ).
tcf(c_231095,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_231065,c_204737]) ).
tcf(c_231099,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_231052,c_204737]) ).
tcf(c_231103,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_231043,c_204737]) ).
tcf(c_231107,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_231042,c_204737]) ).
tcf(c_231111,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_231041,c_204737]) ).
tcf(c_231115,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_231040,c_204737]) ).
tcf(c_231119,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_231039,c_204737]) ).
tcf(c_231123,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_231038,c_204737]) ).
tcf(c_231127,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_231037,c_204737]) ).
tcf(c_231131,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_231036,c_204737]) ).
tcf(c_231135,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_231035,c_204737]) ).
tcf(c_231139,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_231034,c_204737]) ).
tcf(c_231143,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_231033,c_204737]) ).
tcf(c_231147,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_231032,c_204737]) ).
tcf(c_231151,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_231031,c_204737]) ).
tcf(c_231155,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_231030,c_204737]) ).
tcf(c_231159,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_231029,c_204737]) ).
tcf(c_231163,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_231028,c_204737]) ).
tcf(c_231167,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_231027,c_204737]) ).
tcf(c_231171,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_231026,c_204737]) ).
tcf(c_231175,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_231025,c_204737]) ).
tcf(c_231179,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_231024,c_204737]) ).
tcf(c_231183,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_231023,c_204737]) ).
tcf(c_231187,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_231022,c_204737]) ).
tcf(c_231191,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_231021,c_204737]) ).
tcf(c_231195,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_231063,c_204737]) ).
tcf(c_231203,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_231054,c_204737,c_204740]) ).
tcf(c_231210,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_231046,c_204737,c_204740]) ).
tcf(c_231218,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_231051,c_204737,c_204740]) ).
tcf(c_231358,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_168436,c_180304]) ).
tcf(c_231359,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_169140,c_180304]) ).
tcf(c_231360,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_169162,c_180304]) ).
tcf(c_231361,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_168563,c_180304]) ).
tcf(c_231363,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_169193,c_180304]) ).
tcf(c_231364,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_168438,c_180304]) ).
tcf(c_231365,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_168439,c_180304]) ).
tcf(c_231366,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_168537,c_180304]) ).
tcf(c_231367,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_168859,c_180304]) ).
tcf(c_231368,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_169532,c_180304]) ).
tcf(c_231369,plain,
( r2_hidden(sK17(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180304]) ).
tcf(c_231370,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_168441,c_180304]) ).
tcf(c_231371,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_168442,c_180304]) ).
tcf(c_231372,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_168389,c_180304]) ).
tcf(c_231373,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_168397,c_180304]) ).
tcf(c_231374,plain,
! [X0: $i] :
( r2_hidden(sK17(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_180304]) ).
tcf(c_231376,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_201107,c_180304]) ).
tcf(c_231377,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_192817,c_180304]) ).
tcf(c_231378,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_186159,c_180304]) ).
tcf(c_231379,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_174623,c_180304]) ).
tcf(c_231380,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_168783,c_180304]) ).
tcf(c_231381,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_201149,c_180304]) ).
tcf(c_231382,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_192970,c_180304]) ).
tcf(c_231383,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_186200,c_180304]) ).
tcf(c_231384,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_174651,c_180304]) ).
tcf(c_231385,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_168960,c_180304]) ).
tcf(c_231386,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_169395,c_180304]) ).
tcf(c_231387,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_175338,c_180304]) ).
tcf(c_231388,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_201009,c_180304]) ).
tcf(c_231389,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_185810,c_180304]) ).
tcf(c_231390,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_174444,c_180304]) ).
tcf(c_231391,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_169723,c_180304]) ).
tcf(c_231392,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_201035,c_180304]) ).
tcf(c_231393,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_186095,c_180304]) ).
tcf(c_231394,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_174484,c_180304]) ).
tcf(c_231395,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_169942,c_180304]) ).
tcf(c_231396,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_201061,c_180304]) ).
tcf(c_231397,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_186121,c_180304]) ).
tcf(c_231398,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_174571,c_180304]) ).
tcf(c_231399,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_169968,c_180304]) ).
tcf(c_231400,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_170634,c_180304]) ).
tcf(c_231401,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_170628,c_180304]) ).
tcf(c_231402,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_168380,c_180304]) ).
tcf(c_231403,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_168375,c_180304]) ).
tcf(c_231404,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_171942,c_180304]) ).
tcf(c_231405,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_168370,c_180304]) ).
tcf(c_231407,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_180304]) ).
tcf(c_231408,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_180304]) ).
tcf(c_231409,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_175002,c_180304]) ).
tcf(c_231410,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_175027,c_180304]) ).
tcf(c_231411,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180304]) ).
tcf(c_231412,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180304]) ).
tcf(c_231413,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180304]) ).
tcf(c_231417,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_175075,c_180304]) ).
tcf(c_231421,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_175079,c_180304]) ).
tcf(c_231422,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_175080,c_180304]) ).
tcf(c_231423,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180304]) ).
tcf(c_231424,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_204223,c_180304]) ).
tcf(c_231425,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180304]) ).
tcf(c_231426,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180304]) ).
tcf(c_231427,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_180304]) ).
tcf(c_231428,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180304]) ).
tcf(c_231429,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_175337,c_180304]) ).
tcf(c_231430,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180304]) ).
tcf(c_231431,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_180304]) ).
tcf(c_231432,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_175344,c_180304]) ).
tcf(c_231433,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_175346,c_180304]) ).
tcf(c_231434,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_175347,c_180304]) ).
tcf(c_231435,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_175348,c_180304]) ).
tcf(c_231436,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_180304]) ).
tcf(c_231437,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_180304]) ).
tcf(c_231438,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_180304]) ).
tcf(c_231439,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_175352,c_180304]) ).
tcf(c_231440,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180304]) ).
tcf(c_231441,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_180304]) ).
tcf(c_231442,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_175460,c_180304]) ).
tcf(c_231443,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180304]) ).
tcf(c_231444,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177405,c_180304]) ).
tcf(c_231445,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_178116,c_180304]) ).
tcf(c_231446,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_178122,c_180304]) ).
tcf(c_231447,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_178130,c_180304]) ).
tcf(c_231448,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_178134,c_180304]) ).
tcf(c_231450,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_194181,c_180304]) ).
tcf(c_231451,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_181097,c_180304]) ).
tcf(c_231452,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_181888,c_180304]) ).
tcf(c_231453,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_181892,c_180304]) ).
tcf(c_231457,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_182352,c_180304]) ).
tcf(c_231458,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_182356,c_180304]) ).
tcf(c_231459,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_182531,c_180304]) ).
tcf(c_231460,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_182535,c_180304]) ).
tcf(c_231461,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_182660,c_180304]) ).
tcf(c_231462,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_182664,c_180304]) ).
tcf(c_231469,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_183256,c_180304]) ).
tcf(c_231470,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_183265,c_180304]) ).
tcf(c_231471,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_183402,c_180304]) ).
tcf(c_231472,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_183406,c_180304]) ).
tcf(c_231475,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_183684,c_180304]) ).
tcf(c_231476,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_183688,c_180304]) ).
tcf(c_231477,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_183836,c_180304]) ).
tcf(c_231478,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_183845,c_180304]) ).
tcf(c_231479,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184349,c_180304]) ).
tcf(c_231481,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_192418,c_180304]) ).
tcf(c_231482,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_192551,c_180304]) ).
tcf(c_231486,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_194654,c_180304]) ).
tcf(c_231488,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_195334,c_180304]) ).
tcf(c_231490,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_201209,c_180304]) ).
tcf(c_231492,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_204699,c_180304]) ).
tcf(c_231493,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_204083,c_180304]) ).
tcf(c_231496,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_210576,c_180304]) ).
tcf(c_231497,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_207104,c_180304]) ).
tcf(c_231498,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_214415,c_180304]) ).
tcf(c_231499,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_217252,c_180304]) ).
tcf(c_231500,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_222973,c_180304]) ).
tcf(c_231501,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_225424,c_180304]) ).
tcf(c_232418,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_168436,c_180431]) ).
tcf(c_232419,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_169140,c_180431]) ).
tcf(c_232420,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_169162,c_180431]) ).
tcf(c_232421,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_168563,c_180431]) ).
tcf(c_232423,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_169193,c_180431]) ).
tcf(c_232424,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_168438,c_180431]) ).
tcf(c_232425,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_168439,c_180431]) ).
tcf(c_232426,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_168537,c_180431]) ).
tcf(c_232427,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_168859,c_180431]) ).
tcf(c_232428,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_169532,c_180431]) ).
tcf(c_232429,plain,
( r2_hidden(sK19(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180431]) ).
tcf(c_232430,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_168441,c_180431]) ).
tcf(c_232431,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_168442,c_180431]) ).
tcf(c_232432,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_168389,c_180431]) ).
tcf(c_232433,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_168397,c_180431]) ).
tcf(c_232434,plain,
! [X0: $i] :
( r2_hidden(sK19(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_180431]) ).
tcf(c_232436,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_201107,c_180431]) ).
tcf(c_232437,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_192817,c_180431]) ).
tcf(c_232438,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_186159,c_180431]) ).
tcf(c_232439,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_174623,c_180431]) ).
tcf(c_232440,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_168783,c_180431]) ).
tcf(c_232441,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_201149,c_180431]) ).
tcf(c_232442,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_192970,c_180431]) ).
tcf(c_232443,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_186200,c_180431]) ).
tcf(c_232444,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_174651,c_180431]) ).
tcf(c_232445,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_168960,c_180431]) ).
tcf(c_232446,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_169395,c_180431]) ).
tcf(c_232447,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_175338,c_180431]) ).
tcf(c_232448,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_201009,c_180431]) ).
tcf(c_232449,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_185810,c_180431]) ).
tcf(c_232450,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_174444,c_180431]) ).
tcf(c_232451,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_169723,c_180431]) ).
tcf(c_232452,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_201035,c_180431]) ).
tcf(c_232453,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_186095,c_180431]) ).
tcf(c_232454,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_174484,c_180431]) ).
tcf(c_232455,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_169942,c_180431]) ).
tcf(c_232456,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_201061,c_180431]) ).
tcf(c_232457,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_186121,c_180431]) ).
tcf(c_232458,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_174571,c_180431]) ).
tcf(c_232459,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_169968,c_180431]) ).
tcf(c_232460,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_170634,c_180431]) ).
tcf(c_232461,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_170628,c_180431]) ).
tcf(c_232462,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_168380,c_180431]) ).
tcf(c_232463,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_168375,c_180431]) ).
tcf(c_232464,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_171942,c_180431]) ).
tcf(c_232465,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_168370,c_180431]) ).
tcf(c_232467,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_180431]) ).
tcf(c_232468,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_180431]) ).
tcf(c_232469,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_175002,c_180431]) ).
tcf(c_232470,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_175027,c_180431]) ).
tcf(c_232471,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180431]) ).
tcf(c_232472,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180431]) ).
tcf(c_232473,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180431]) ).
tcf(c_232477,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_175075,c_180431]) ).
tcf(c_232481,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_175079,c_180431]) ).
tcf(c_232482,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_175080,c_180431]) ).
tcf(c_232483,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180431]) ).
tcf(c_232484,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_204223,c_180431]) ).
tcf(c_232485,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180431]) ).
tcf(c_232486,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180431]) ).
tcf(c_232487,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_180431]) ).
tcf(c_232488,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180431]) ).
tcf(c_232489,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_175337,c_180431]) ).
tcf(c_232490,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180431]) ).
tcf(c_232491,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_180431]) ).
tcf(c_232492,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_175344,c_180431]) ).
tcf(c_232493,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_175346,c_180431]) ).
tcf(c_232494,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_175347,c_180431]) ).
tcf(c_232495,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_175348,c_180431]) ).
tcf(c_232496,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_180431]) ).
tcf(c_232497,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_180431]) ).
tcf(c_232498,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_180431]) ).
tcf(c_232499,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_175352,c_180431]) ).
tcf(c_232500,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180431]) ).
tcf(c_232501,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_180431]) ).
tcf(c_232502,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_175460,c_180431]) ).
tcf(c_232503,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180431]) ).
tcf(c_232504,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177405,c_180431]) ).
tcf(c_232505,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_178116,c_180431]) ).
tcf(c_232506,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_178122,c_180431]) ).
tcf(c_232507,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_178130,c_180431]) ).
tcf(c_232508,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_178134,c_180431]) ).
tcf(c_232510,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_194181,c_180431]) ).
tcf(c_232511,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_181097,c_180431]) ).
tcf(c_232512,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_181888,c_180431]) ).
tcf(c_232513,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_181892,c_180431]) ).
tcf(c_232517,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_182352,c_180431]) ).
tcf(c_232518,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_182356,c_180431]) ).
tcf(c_232519,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_182531,c_180431]) ).
tcf(c_232520,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_182535,c_180431]) ).
tcf(c_232521,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_182660,c_180431]) ).
tcf(c_232522,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_182664,c_180431]) ).
tcf(c_232529,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_183256,c_180431]) ).
tcf(c_232530,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_183265,c_180431]) ).
tcf(c_232531,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_183402,c_180431]) ).
tcf(c_232532,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_183406,c_180431]) ).
tcf(c_232535,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_183684,c_180431]) ).
tcf(c_232536,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_183688,c_180431]) ).
tcf(c_232537,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_183836,c_180431]) ).
tcf(c_232538,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_183845,c_180431]) ).
tcf(c_232539,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184349,c_180431]) ).
tcf(c_232541,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_192418,c_180431]) ).
tcf(c_232542,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_192551,c_180431]) ).
tcf(c_232546,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_194654,c_180431]) ).
tcf(c_232548,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_195334,c_180431]) ).
tcf(c_232550,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_201209,c_180431]) ).
tcf(c_232552,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_204699,c_180431]) ).
tcf(c_232553,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_204083,c_180431]) ).
tcf(c_232556,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_210576,c_180431]) ).
tcf(c_232557,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_207104,c_180431]) ).
tcf(c_232558,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_214415,c_180431]) ).
tcf(c_232559,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_217252,c_180431]) ).
tcf(c_232560,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_222973,c_180431]) ).
tcf(c_232561,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_225424,c_180431]) ).
tcf(c_233475,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK16(X0)) ),
inference(superposition,[status(thm)],[c_168436,c_180666]) ).
tcf(c_233476,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_169140,c_180666]) ).
tcf(c_233477,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_169162,c_180666]) ).
tcf(c_233478,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_168563,c_180666]) ).
tcf(c_233480,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_169193,c_180666]) ).
tcf(c_233481,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_168438,c_180666]) ).
tcf(c_233482,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_168439,c_180666]) ).
tcf(c_233483,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_168537,c_180666]) ).
tcf(c_233484,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_168859,c_180666]) ).
tcf(c_233485,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_169532,c_180666]) ).
tcf(c_233486,plain,
( r2_hidden(sK25(sK3),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180666]) ).
tcf(c_233487,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_168441,c_180666]) ).
tcf(c_233488,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_168442,c_180666]) ).
tcf(c_233489,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_168389,c_180666]) ).
tcf(c_233490,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_168397,c_180666]) ).
tcf(c_233491,plain,
! [X0: $i] :
( r2_hidden(sK25(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_180666]) ).
tcf(c_233493,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_201107,c_180666]) ).
tcf(c_233494,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_192817,c_180666]) ).
tcf(c_233495,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_186159,c_180666]) ).
tcf(c_233496,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_174623,c_180666]) ).
tcf(c_233497,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_168783,c_180666]) ).
tcf(c_233498,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_201149,c_180666]) ).
tcf(c_233499,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_192970,c_180666]) ).
tcf(c_233500,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_186200,c_180666]) ).
tcf(c_233501,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_174651,c_180666]) ).
tcf(c_233502,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_168960,c_180666]) ).
tcf(c_233503,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_169395,c_180666]) ).
tcf(c_233504,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_175338,c_180666]) ).
tcf(c_233505,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_201009,c_180666]) ).
tcf(c_233506,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_185810,c_180666]) ).
tcf(c_233507,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_174444,c_180666]) ).
tcf(c_233508,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_169723,c_180666]) ).
tcf(c_233509,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_201035,c_180666]) ).
tcf(c_233510,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_186095,c_180666]) ).
tcf(c_233511,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_174484,c_180666]) ).
tcf(c_233512,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_169942,c_180666]) ).
tcf(c_233513,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_201061,c_180666]) ).
tcf(c_233514,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_186121,c_180666]) ).
tcf(c_233515,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_174571,c_180666]) ).
tcf(c_233516,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_169968,c_180666]) ).
tcf(c_233517,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_170634,c_180666]) ).
tcf(c_233518,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_170628,c_180666]) ).
tcf(c_233519,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_168380,c_180666]) ).
tcf(c_233520,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_168375,c_180666]) ).
tcf(c_233521,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_171942,c_180666]) ).
tcf(c_233522,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_168370,c_180666]) ).
tcf(c_233524,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_180666]) ).
tcf(c_233525,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_180666]) ).
tcf(c_233526,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_175002,c_180666]) ).
tcf(c_233527,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_175027,c_180666]) ).
tcf(c_233528,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180666]) ).
tcf(c_233529,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180666]) ).
tcf(c_233530,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180666]) ).
tcf(c_233534,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_175075,c_180666]) ).
tcf(c_233538,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_175079,c_180666]) ).
tcf(c_233539,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_175080,c_180666]) ).
tcf(c_233540,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180666]) ).
tcf(c_233541,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_204223,c_180666]) ).
tcf(c_233542,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180666]) ).
tcf(c_233543,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180666]) ).
tcf(c_233544,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_180666]) ).
tcf(c_233545,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180666]) ).
tcf(c_233546,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_175337,c_180666]) ).
tcf(c_233547,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180666]) ).
tcf(c_233548,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_180666]) ).
tcf(c_233549,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_175344,c_180666]) ).
tcf(c_233550,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_175346,c_180666]) ).
tcf(c_233551,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_175347,c_180666]) ).
tcf(c_233552,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_175348,c_180666]) ).
tcf(c_233553,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_180666]) ).
tcf(c_233554,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_180666]) ).
tcf(c_233555,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_180666]) ).
tcf(c_233556,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_175352,c_180666]) ).
tcf(c_233557,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180666]) ).
tcf(c_233558,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_180666]) ).
tcf(c_233559,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_175460,c_180666]) ).
tcf(c_233560,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180666]) ).
tcf(c_233561,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177405,c_180666]) ).
tcf(c_233562,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_178116,c_180666]) ).
tcf(c_233563,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_178122,c_180666]) ).
tcf(c_233564,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_178130,c_180666]) ).
tcf(c_233565,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_178134,c_180666]) ).
tcf(c_233567,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_194181,c_180666]) ).
tcf(c_233568,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_181097,c_180666]) ).
tcf(c_233569,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_181888,c_180666]) ).
tcf(c_233570,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_181892,c_180666]) ).
tcf(c_233574,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_182352,c_180666]) ).
tcf(c_233575,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_182356,c_180666]) ).
tcf(c_233576,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_182531,c_180666]) ).
tcf(c_233577,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_182535,c_180666]) ).
tcf(c_233578,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_182660,c_180666]) ).
tcf(c_233579,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_182664,c_180666]) ).
tcf(c_233586,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_183256,c_180666]) ).
tcf(c_233587,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_183265,c_180666]) ).
tcf(c_233588,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_183402,c_180666]) ).
tcf(c_233589,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_183406,c_180666]) ).
tcf(c_233592,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_183684,c_180666]) ).
tcf(c_233593,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_183688,c_180666]) ).
tcf(c_233594,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_183836,c_180666]) ).
tcf(c_233595,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_183845,c_180666]) ).
tcf(c_233596,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184349,c_180666]) ).
tcf(c_233598,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_192418,c_180666]) ).
tcf(c_233599,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_192551,c_180666]) ).
tcf(c_233603,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_194654,c_180666]) ).
tcf(c_233605,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_195334,c_180666]) ).
tcf(c_233607,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_201209,c_180666]) ).
tcf(c_233609,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_204699,c_180666]) ).
tcf(c_233610,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_204083,c_180666]) ).
tcf(c_233613,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_210576,c_180666]) ).
tcf(c_233614,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_207104,c_180666]) ).
tcf(c_233615,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_214415,c_180666]) ).
tcf(c_233616,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_217252,c_180666]) ).
tcf(c_233617,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_222973,c_180666]) ).
tcf(c_233618,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_225424,c_180666]) ).
tcf(c_234485,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_168436,c_180716]) ).
tcf(c_234486,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_169140,c_180716]) ).
tcf(c_234487,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_169162,c_180716]) ).
tcf(c_234488,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_168563,c_180716]) ).
tcf(c_234490,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_169193,c_180716]) ).
tcf(c_234491,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_168438,c_180716]) ).
tcf(c_234492,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_168439,c_180716]) ).
tcf(c_234493,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_168537,c_180716]) ).
tcf(c_234494,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_168859,c_180716]) ).
tcf(c_234495,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_169532,c_180716]) ).
tcf(c_234496,plain,
( r2_hidden(sK16(iPr_def_28),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_180716]) ).
tcf(c_234497,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_168441,c_180716]) ).
tcf(c_234498,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_168442,c_180716]) ).
tcf(c_234499,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_168389,c_180716]) ).
tcf(c_234500,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_168397,c_180716]) ).
tcf(c_234501,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_168435,c_180716]) ).
tcf(c_234503,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_201107,c_180716]) ).
tcf(c_234504,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_192817,c_180716]) ).
tcf(c_234505,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_186159,c_180716]) ).
tcf(c_234506,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_174623,c_180716]) ).
tcf(c_234507,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_168783,c_180716]) ).
tcf(c_234508,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_201149,c_180716]) ).
tcf(c_234509,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_192970,c_180716]) ).
tcf(c_234510,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_186200,c_180716]) ).
tcf(c_234511,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_174651,c_180716]) ).
tcf(c_234512,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_168960,c_180716]) ).
tcf(c_234513,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_169395,c_180716]) ).
tcf(c_234514,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_175338,c_180716]) ).
tcf(c_234515,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_201009,c_180716]) ).
tcf(c_234516,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_185810,c_180716]) ).
tcf(c_234517,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_174444,c_180716]) ).
tcf(c_234518,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_169723,c_180716]) ).
tcf(c_234519,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_201035,c_180716]) ).
tcf(c_234520,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_186095,c_180716]) ).
tcf(c_234521,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_174484,c_180716]) ).
tcf(c_234522,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_169942,c_180716]) ).
tcf(c_234523,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_201061,c_180716]) ).
tcf(c_234524,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_186121,c_180716]) ).
tcf(c_234525,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_174571,c_180716]) ).
tcf(c_234526,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_169968,c_180716]) ).
tcf(c_234527,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_170634,c_180716]) ).
tcf(c_234528,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_170628,c_180716]) ).
tcf(c_234529,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_168380,c_180716]) ).
tcf(c_234530,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_168375,c_180716]) ).
tcf(c_234531,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_171942,c_180716]) ).
tcf(c_234532,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_168370,c_180716]) ).
tcf(c_234533,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_180716]) ).
tcf(c_234534,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_180716]) ).
tcf(c_234538,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_180716]) ).
tcf(c_234539,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_180716]) ).
tcf(c_234540,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_180716]) ).
tcf(c_234541,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_180716]) ).
tcf(c_234542,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_175073,c_180716]) ).
tcf(c_234543,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_175074,c_180716]) ).
tcf(c_234544,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_175075,c_180716]) ).
tcf(c_234545,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_180716]) ).
tcf(c_234546,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_180716]) ).
tcf(c_234547,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_180716]) ).
tcf(c_234548,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_175079,c_180716]) ).
tcf(c_234549,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_175080,c_180716]) ).
tcf(c_234550,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_180716]) ).
tcf(c_234551,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_204223,c_180716]) ).
tcf(c_234552,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_180716]) ).
tcf(c_234553,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_180716]) ).
tcf(c_234554,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_180716]) ).
tcf(c_234555,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_180716]) ).
tcf(c_234556,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_175337,c_180716]) ).
tcf(c_234557,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_180716]) ).
tcf(c_234558,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_180716]) ).
tcf(c_234559,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_175344,c_180716]) ).
tcf(c_234560,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_175346,c_180716]) ).
tcf(c_234561,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_175347,c_180716]) ).
tcf(c_234562,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_175348,c_180716]) ).
tcf(c_234563,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_180716]) ).
tcf(c_234564,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_180716]) ).
tcf(c_234565,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_180716]) ).
tcf(c_234566,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_175352,c_180716]) ).
tcf(c_234567,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_180716]) ).
tcf(c_234569,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_175460,c_180716]) ).
tcf(c_234570,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_180716]) ).
tcf(c_234571,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_177405,c_180716]) ).
tcf(c_234572,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_178116,c_180716]) ).
tcf(c_234573,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_178122,c_180716]) ).
tcf(c_234574,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_178130,c_180716]) ).
tcf(c_234575,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_178134,c_180716]) ).
tcf(c_234576,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_179657,c_180716]) ).
tcf(c_234577,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_194181,c_180716]) ).
tcf(c_234578,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_181097,c_180716]) ).
tcf(c_234579,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_181888,c_180716]) ).
tcf(c_234580,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_181892,c_180716]) ).
tcf(c_234581,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_204357,c_180716]) ).
tcf(c_234582,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_182015,c_180716]) ).
tcf(c_234583,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_182028,c_180716]) ).
tcf(c_234584,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_182352,c_180716]) ).
tcf(c_234585,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_182356,c_180716]) ).
tcf(c_234586,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_182531,c_180716]) ).
tcf(c_234587,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_182535,c_180716]) ).
tcf(c_234588,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_182660,c_180716]) ).
tcf(c_234589,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_182664,c_180716]) ).
tcf(c_234590,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_182816,c_180716]) ).
tcf(c_234591,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_182829,c_180716]) ).
tcf(c_234592,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_183007,c_180716]) ).
tcf(c_234593,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_183020,c_180716]) ).
tcf(c_234594,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_183125,c_180716]) ).
tcf(c_234595,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_183138,c_180716]) ).
tcf(c_234598,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_183402,c_180716]) ).
tcf(c_234599,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_183406,c_180716]) ).
tcf(c_234600,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_183554,c_180716]) ).
tcf(c_234601,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_183567,c_180716]) ).
tcf(c_234602,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_183684,c_180716]) ).
tcf(c_234603,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_183688,c_180716]) ).
tcf(c_234606,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_184349,c_180716]) ).
tcf(c_234607,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_184408,c_180716]) ).
tcf(c_234610,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_193509,c_180716]) ).
tcf(c_234611,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_193716,c_180716]) ).
tcf(c_234612,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_194002,c_180716]) ).
tcf(c_234613,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_194654,c_180716]) ).
tcf(c_234614,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_194816,c_180716]) ).
tcf(c_234615,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_195334,c_180716]) ).
tcf(c_234616,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_196055,c_180716]) ).
tcf(c_234617,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_201209,c_180716]) ).
tcf(c_234618,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_198816,c_180716]) ).
tcf(c_234619,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_204699,c_180716]) ).
tcf(c_234620,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_204083,c_180716]) ).
tcf(c_234621,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_204955,c_180716]) ).
tcf(c_234622,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_209481,c_180716]) ).
tcf(c_234623,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_210576,c_180716]) ).
tcf(c_234624,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_207104,c_180716]) ).
tcf(c_234625,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_214415,c_180716]) ).
tcf(c_234626,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_217252,c_180716]) ).
tcf(c_234627,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_222973,c_180716]) ).
tcf(c_234628,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_225424,c_180716]) ).
tcf(c_235582,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_231400,c_1176]) ).
tcf(c_235583,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_231400,c_151]) ).
tcf(c_235584,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_231400,c_60]) ).
tcf(c_235586,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_231400,c_293]) ).
tcf(c_235587,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_231400,c_8246]) ).
tcf(c_235588,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_231400,c_8233]) ).
tcf(c_235658,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_232460,c_1176]) ).
tcf(c_235659,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_232460,c_151]) ).
tcf(c_235660,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_232460,c_60]) ).
tcf(c_235662,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_232460,c_293]) ).
tcf(c_235663,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_232460,c_8246]) ).
tcf(c_235664,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_232460,c_8233]) ).
tcf(c_235734,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_233517,c_1176]) ).
tcf(c_235735,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_233517,c_151]) ).
tcf(c_235736,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_233517,c_60]) ).
tcf(c_235738,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_233517,c_293]) ).
tcf(c_235739,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_233517,c_8246]) ).
tcf(c_235740,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_233517,c_8233]) ).
tcf(c_235907,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_234527,c_1177]) ).
tcf(c_235908,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_234527,c_1176]) ).
tcf(c_235909,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_234527,c_151]) ).
tcf(c_235910,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_234527,c_60]) ).
tcf(c_235911,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_234527,c_304]) ).
tcf(c_235912,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_234527,c_293]) ).
tcf(c_235913,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_234527,c_8246]) ).
tcf(c_235914,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_234527,c_8233]) ).
tcf(c_235982,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_231045,c_72309,c_91012]) ).
tcf(c_235992,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_168436,c_181218]) ).
tcf(c_235993,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_169140,c_181218]) ).
tcf(c_235994,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_169162,c_181218]) ).
tcf(c_235995,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_168563,c_181218]) ).
tcf(c_235997,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_169193,c_181218]) ).
tcf(c_235998,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_168438,c_181218]) ).
tcf(c_235999,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_168439,c_181218]) ).
tcf(c_236000,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_168537,c_181218]) ).
tcf(c_236001,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_168859,c_181218]) ).
tcf(c_236002,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_169532,c_181218]) ).
tcf(c_236003,plain,
( r2_hidden(k1_tarski(iPr_def_27),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_181218]) ).
tcf(c_236004,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_168441,c_181218]) ).
tcf(c_236005,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_168442,c_181218]) ).
tcf(c_236006,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_168389,c_181218]) ).
tcf(c_236007,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_168397,c_181218]) ).
tcf(c_236008,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_168435,c_181218]) ).
tcf(c_236020,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_169395,c_181218]) ).
tcf(c_236021,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_175338,c_181218]) ).
tcf(c_236034,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_170634,c_181218]) ).
tcf(c_236035,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_170628,c_181218]) ).
tcf(c_236036,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_168380,c_181218]) ).
tcf(c_236037,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_168375,c_181218]) ).
tcf(c_236038,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_171942,c_181218]) ).
tcf(c_236040,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_168480,c_181218]) ).
tcf(c_236042,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_168482,c_181218]) ).
tcf(c_236043,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_175002,c_181218]) ).
tcf(c_236044,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_175027,c_181218]) ).
tcf(c_236045,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_181218]) ).
tcf(c_236046,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_181218]) ).
tcf(c_236047,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_181218]) ).
tcf(c_236048,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_175067,c_181218]) ).
tcf(c_236049,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_175073,c_181218]) ).
tcf(c_236050,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_175074,c_181218]) ).
tcf(c_236051,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_175075,c_181218]) ).
tcf(c_236052,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_181218]) ).
tcf(c_236053,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_181218]) ).
tcf(c_236054,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_181218]) ).
tcf(c_236055,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_175079,c_181218]) ).
tcf(c_236056,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_175080,c_181218]) ).
tcf(c_236057,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_181218]) ).
tcf(c_236059,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_181218]) ).
tcf(c_236060,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_181218]) ).
tcf(c_236062,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_181218]) ).
tcf(c_236063,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_175337,c_181218]) ).
tcf(c_236064,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_181218]) ).
tcf(c_236066,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_175344,c_181218]) ).
tcf(c_236069,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_175348,c_181218]) ).
tcf(c_236073,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_175352,c_181218]) ).
tcf(c_236074,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_181218]) ).
tcf(c_236075,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_175455,c_181218]) ).
tcf(c_236076,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_175460,c_181218]) ).
tcf(c_236077,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_181218]) ).
tcf(c_236079,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_178116,c_181218]) ).
tcf(c_236080,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_178122,c_181218]) ).
tcf(c_236081,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_178130,c_181218]) ).
tcf(c_236082,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_178134,c_181218]) ).
tcf(c_236083,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_179657,c_181218]) ).
tcf(c_236088,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_204357,c_181218]) ).
tcf(c_236089,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_182015,c_181218]) ).
tcf(c_236090,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_182028,c_181218]) ).
tcf(c_236097,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_182816,c_181218]) ).
tcf(c_236098,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_182829,c_181218]) ).
tcf(c_236099,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_183007,c_181218]) ).
tcf(c_236100,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_183020,c_181218]) ).
tcf(c_236101,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_183125,c_181218]) ).
tcf(c_236102,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_183138,c_181218]) ).
tcf(c_236103,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_183256,c_181218]) ).
tcf(c_236104,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_183265,c_181218]) ).
tcf(c_236107,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_183554,c_181218]) ).
tcf(c_236108,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_183567,c_181218]) ).
tcf(c_236111,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_183836,c_181218]) ).
tcf(c_236112,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_183845,c_181218]) ).
tcf(c_236114,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_184408,c_181218]) ).
tcf(c_236115,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_192418,c_181218]) ).
tcf(c_236116,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_192551,c_181218]) ).
tcf(c_236117,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_193509,c_181218]) ).
tcf(c_236118,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_193716,c_181218]) ).
tcf(c_236119,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_194002,c_181218]) ).
tcf(c_236121,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_194816,c_181218]) ).
tcf(c_236123,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_196055,c_181218]) ).
tcf(c_236124,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_201209,c_181218]) ).
tcf(c_236127,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_204083,c_181218]) ).
tcf(c_236130,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_210576,c_181218]) ).
tcf(c_236131,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_207104,c_181218]) ).
tcf(c_236132,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_214415,c_181218]) ).
tcf(c_236133,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_217252,c_181218]) ).
tcf(c_236134,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_222973,c_181218]) ).
tcf(c_236135,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_225424,c_181218]) ).
tcf(c_247667,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_168436,c_181360]) ).
tcf(c_247668,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_169140,c_181360]) ).
tcf(c_247669,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_169162,c_181360]) ).
tcf(c_247670,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_168563,c_181360]) ).
tcf(c_247672,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_169193,c_181360]) ).
tcf(c_247673,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_168438,c_181360]) ).
tcf(c_247674,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_168439,c_181360]) ).
tcf(c_247675,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_168537,c_181360]) ).
tcf(c_247676,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_168859,c_181360]) ).
tcf(c_247677,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_169532,c_181360]) ).
tcf(c_247678,plain,
( r2_hidden(sK12(iPr_def_19),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_181360]) ).
tcf(c_247679,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_168441,c_181360]) ).
tcf(c_247680,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_168442,c_181360]) ).
tcf(c_247681,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_168389,c_181360]) ).
tcf(c_247682,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_168397,c_181360]) ).
tcf(c_247683,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_168435,c_181360]) ).
tcf(c_247685,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_201107,c_181360]) ).
tcf(c_247686,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_192817,c_181360]) ).
tcf(c_247687,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_186159,c_181360]) ).
tcf(c_247688,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_174623,c_181360]) ).
tcf(c_247689,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_168783,c_181360]) ).
tcf(c_247690,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_201149,c_181360]) ).
tcf(c_247691,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_192970,c_181360]) ).
tcf(c_247692,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_186200,c_181360]) ).
tcf(c_247693,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_174651,c_181360]) ).
tcf(c_247694,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_168960,c_181360]) ).
tcf(c_247695,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_169395,c_181360]) ).
tcf(c_247696,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_175338,c_181360]) ).
tcf(c_247697,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_201009,c_181360]) ).
tcf(c_247698,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_185810,c_181360]) ).
tcf(c_247699,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_174444,c_181360]) ).
tcf(c_247700,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_169723,c_181360]) ).
tcf(c_247701,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_201035,c_181360]) ).
tcf(c_247702,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_186095,c_181360]) ).
tcf(c_247703,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_174484,c_181360]) ).
tcf(c_247704,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_169942,c_181360]) ).
tcf(c_247705,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_201061,c_181360]) ).
tcf(c_247706,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_186121,c_181360]) ).
tcf(c_247707,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_174571,c_181360]) ).
tcf(c_247708,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_169968,c_181360]) ).
tcf(c_247709,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_170634,c_181360]) ).
tcf(c_247710,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_170628,c_181360]) ).
tcf(c_247711,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_168380,c_181360]) ).
tcf(c_247712,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_168375,c_181360]) ).
tcf(c_247713,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_171942,c_181360]) ).
tcf(c_247714,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_168370,c_181360]) ).
tcf(c_247716,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_181360]) ).
tcf(c_247717,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_181360]) ).
tcf(c_247718,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_175002,c_181360]) ).
tcf(c_247719,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_175027,c_181360]) ).
tcf(c_247720,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_181360]) ).
tcf(c_247721,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_181360]) ).
tcf(c_247722,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_181360]) ).
tcf(c_247726,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_175075,c_181360]) ).
tcf(c_247730,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_175079,c_181360]) ).
tcf(c_247731,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_175080,c_181360]) ).
tcf(c_247732,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_181360]) ).
tcf(c_247733,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_204223,c_181360]) ).
tcf(c_247734,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_181360]) ).
tcf(c_247735,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_181360]) ).
tcf(c_247736,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_181360]) ).
tcf(c_247737,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_181360]) ).
tcf(c_247738,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_175337,c_181360]) ).
tcf(c_247739,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_181360]) ).
tcf(c_247740,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_181360]) ).
tcf(c_247741,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_175344,c_181360]) ).
tcf(c_247742,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_175346,c_181360]) ).
tcf(c_247743,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_175347,c_181360]) ).
tcf(c_247744,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_175348,c_181360]) ).
tcf(c_247745,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_181360]) ).
tcf(c_247746,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_181360]) ).
tcf(c_247747,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_181360]) ).
tcf(c_247748,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_175352,c_181360]) ).
tcf(c_247749,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_181360]) ).
tcf(c_247750,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_181360]) ).
tcf(c_247751,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_175460,c_181360]) ).
tcf(c_247752,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_181360]) ).
tcf(c_247753,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_177405,c_181360]) ).
tcf(c_247754,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_178116,c_181360]) ).
tcf(c_247755,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_178122,c_181360]) ).
tcf(c_247756,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_178130,c_181360]) ).
tcf(c_247757,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_178134,c_181360]) ).
tcf(c_247759,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_194181,c_181360]) ).
tcf(c_247760,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_181097,c_181360]) ).
tcf(c_247761,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_181888,c_181360]) ).
tcf(c_247762,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_181892,c_181360]) ).
tcf(c_247766,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_182352,c_181360]) ).
tcf(c_247767,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_182356,c_181360]) ).
tcf(c_247768,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_182531,c_181360]) ).
tcf(c_247769,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_182535,c_181360]) ).
tcf(c_247770,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_182660,c_181360]) ).
tcf(c_247771,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_182664,c_181360]) ).
tcf(c_247778,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_183256,c_181360]) ).
tcf(c_247779,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_183265,c_181360]) ).
tcf(c_247780,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_183402,c_181360]) ).
tcf(c_247781,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_183406,c_181360]) ).
tcf(c_247784,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_183684,c_181360]) ).
tcf(c_247785,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_183688,c_181360]) ).
tcf(c_247786,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_183836,c_181360]) ).
tcf(c_247787,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_183845,c_181360]) ).
tcf(c_247788,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_184349,c_181360]) ).
tcf(c_247790,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_192418,c_181360]) ).
tcf(c_247791,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_192551,c_181360]) ).
tcf(c_247795,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_194654,c_181360]) ).
tcf(c_247797,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_195334,c_181360]) ).
tcf(c_247799,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_201209,c_181360]) ).
tcf(c_247801,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_204699,c_181360]) ).
tcf(c_247802,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_204083,c_181360]) ).
tcf(c_247805,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_210576,c_181360]) ).
tcf(c_247806,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_207104,c_181360]) ).
tcf(c_247807,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_214415,c_181360]) ).
tcf(c_247808,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_217252,c_181360]) ).
tcf(c_247809,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_222973,c_181360]) ).
tcf(c_247810,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_225424,c_181360]) ).
tcf(c_248612,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_168436,c_181444]) ).
tcf(c_248613,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_169140,c_181444]) ).
tcf(c_248614,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_169162,c_181444]) ).
tcf(c_248615,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_168563,c_181444]) ).
tcf(c_248617,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_169193,c_181444]) ).
tcf(c_248618,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_168438,c_181444]) ).
tcf(c_248619,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_168439,c_181444]) ).
tcf(c_248620,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_168537,c_181444]) ).
tcf(c_248621,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_168859,c_181444]) ).
tcf(c_248622,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_169532,c_181444]) ).
tcf(c_248623,plain,
( r2_hidden(sK12(iPr_def_21),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_21,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_181444]) ).
tcf(c_248624,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_168441,c_181444]) ).
tcf(c_248625,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_168442,c_181444]) ).
tcf(c_248626,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_168389,c_181444]) ).
tcf(c_248627,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_168397,c_181444]) ).
tcf(c_248628,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_168435,c_181444]) ).
tcf(c_248640,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_169395,c_181444]) ).
tcf(c_248641,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_175338,c_181444]) ).
tcf(c_248654,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_170634,c_181444]) ).
tcf(c_248655,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_170628,c_181444]) ).
tcf(c_248656,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_168380,c_181444]) ).
tcf(c_248657,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_168375,c_181444]) ).
tcf(c_248658,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_171942,c_181444]) ).
tcf(c_248660,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_181444]) ).
tcf(c_248662,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_181444]) ).
tcf(c_248663,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_175002,c_181444]) ).
tcf(c_248664,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_175027,c_181444]) ).
tcf(c_248665,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_181444]) ).
tcf(c_248666,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_181444]) ).
tcf(c_248667,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_181444]) ).
tcf(c_248668,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_181444]) ).
tcf(c_248669,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_175073,c_181444]) ).
tcf(c_248670,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_175074,c_181444]) ).
tcf(c_248671,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_175075,c_181444]) ).
tcf(c_248672,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_181444]) ).
tcf(c_248673,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_181444]) ).
tcf(c_248674,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_181444]) ).
tcf(c_248675,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_175079,c_181444]) ).
tcf(c_248676,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_175080,c_181444]) ).
tcf(c_248677,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_181444]) ).
tcf(c_248679,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_181444]) ).
tcf(c_248680,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_181444]) ).
tcf(c_248682,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_181444]) ).
tcf(c_248683,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_175337,c_181444]) ).
tcf(c_248684,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_181444]) ).
tcf(c_248686,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_175344,c_181444]) ).
tcf(c_248689,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_175348,c_181444]) ).
tcf(c_248693,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_175352,c_181444]) ).
tcf(c_248694,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_181444]) ).
tcf(c_248695,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_181444]) ).
tcf(c_248696,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_175460,c_181444]) ).
tcf(c_248697,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_181444]) ).
tcf(c_248699,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_178116,c_181444]) ).
tcf(c_248700,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_178122,c_181444]) ).
tcf(c_248701,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_178130,c_181444]) ).
tcf(c_248702,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_178134,c_181444]) ).
tcf(c_248703,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_179657,c_181444]) ).
tcf(c_248708,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_204357,c_181444]) ).
tcf(c_248709,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_182015,c_181444]) ).
tcf(c_248710,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_182028,c_181444]) ).
tcf(c_248717,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_182816,c_181444]) ).
tcf(c_248718,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_182829,c_181444]) ).
tcf(c_248719,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_183007,c_181444]) ).
tcf(c_248720,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_183020,c_181444]) ).
tcf(c_248721,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_183125,c_181444]) ).
tcf(c_248722,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_183138,c_181444]) ).
tcf(c_248723,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_183256,c_181444]) ).
tcf(c_248724,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_183265,c_181444]) ).
tcf(c_248727,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_183554,c_181444]) ).
tcf(c_248728,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_183567,c_181444]) ).
tcf(c_248731,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_183836,c_181444]) ).
tcf(c_248732,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_183845,c_181444]) ).
tcf(c_248734,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_184408,c_181444]) ).
tcf(c_248735,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_192418,c_181444]) ).
tcf(c_248736,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_192551,c_181444]) ).
tcf(c_248737,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_193509,c_181444]) ).
tcf(c_248738,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_193716,c_181444]) ).
tcf(c_248739,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_194002,c_181444]) ).
tcf(c_248741,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_194816,c_181444]) ).
tcf(c_248743,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_196055,c_181444]) ).
tcf(c_248744,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_201209,c_181444]) ).
tcf(c_248747,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_204083,c_181444]) ).
tcf(c_248750,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_210576,c_181444]) ).
tcf(c_248751,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_207104,c_181444]) ).
tcf(c_248752,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_214415,c_181444]) ).
tcf(c_248753,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_217252,c_181444]) ).
tcf(c_248754,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_222973,c_181444]) ).
tcf(c_248755,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_225424,c_181444]) ).
tcf(c_249314,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_168436,c_181536]) ).
tcf(c_249315,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_169140,c_181536]) ).
tcf(c_249316,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_169162,c_181536]) ).
tcf(c_249317,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_168563,c_181536]) ).
tcf(c_249319,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_169193,c_181536]) ).
tcf(c_249320,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_168438,c_181536]) ).
tcf(c_249321,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_168439,c_181536]) ).
tcf(c_249322,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_168537,c_181536]) ).
tcf(c_249323,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_168859,c_181536]) ).
tcf(c_249324,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_169532,c_181536]) ).
tcf(c_249325,plain,
( r2_hidden(sK12(iPr_def_29),u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_29,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_181536]) ).
tcf(c_249326,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_168441,c_181536]) ).
tcf(c_249327,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_168442,c_181536]) ).
tcf(c_249328,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_168389,c_181536]) ).
tcf(c_249329,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_168397,c_181536]) ).
tcf(c_249330,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_168435,c_181536]) ).
tcf(c_249332,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_201107,c_181536]) ).
tcf(c_249333,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_192817,c_181536]) ).
tcf(c_249334,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_186159,c_181536]) ).
tcf(c_249335,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_174623,c_181536]) ).
tcf(c_249336,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_168783,c_181536]) ).
tcf(c_249337,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_201149,c_181536]) ).
tcf(c_249338,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_192970,c_181536]) ).
tcf(c_249339,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_186200,c_181536]) ).
tcf(c_249340,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_174651,c_181536]) ).
tcf(c_249341,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_168960,c_181536]) ).
tcf(c_249342,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_169395,c_181536]) ).
tcf(c_249343,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_175338,c_181536]) ).
tcf(c_249344,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_201009,c_181536]) ).
tcf(c_249345,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_185810,c_181536]) ).
tcf(c_249346,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_174444,c_181536]) ).
tcf(c_249347,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_169723,c_181536]) ).
tcf(c_249348,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_201035,c_181536]) ).
tcf(c_249349,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_186095,c_181536]) ).
tcf(c_249350,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_174484,c_181536]) ).
tcf(c_249351,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_169942,c_181536]) ).
tcf(c_249352,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_201061,c_181536]) ).
tcf(c_249353,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_186121,c_181536]) ).
tcf(c_249354,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_174571,c_181536]) ).
tcf(c_249355,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_169968,c_181536]) ).
tcf(c_249356,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_170634,c_181536]) ).
tcf(c_249357,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_170628,c_181536]) ).
tcf(c_249358,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_168380,c_181536]) ).
tcf(c_249359,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_168375,c_181536]) ).
tcf(c_249360,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_171942,c_181536]) ).
tcf(c_249361,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_168370,c_181536]) ).
tcf(c_249362,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_168480,c_181536]) ).
tcf(c_249363,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_181536]) ).
tcf(c_249367,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_181536]) ).
tcf(c_249368,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_181536]) ).
tcf(c_249369,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_181536]) ).
tcf(c_249370,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_175067,c_181536]) ).
tcf(c_249371,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_175073,c_181536]) ).
tcf(c_249372,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_175074,c_181536]) ).
tcf(c_249373,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_175075,c_181536]) ).
tcf(c_249374,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_175076,c_181536]) ).
tcf(c_249375,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_175077,c_181536]) ).
tcf(c_249376,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_175078,c_181536]) ).
tcf(c_249377,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_175079,c_181536]) ).
tcf(c_249378,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_175080,c_181536]) ).
tcf(c_249379,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_181536]) ).
tcf(c_249380,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_204223,c_181536]) ).
tcf(c_249381,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_181536]) ).
tcf(c_249382,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_181536]) ).
tcf(c_249383,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_181536]) ).
tcf(c_249384,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_181536]) ).
tcf(c_249385,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_175337,c_181536]) ).
tcf(c_249386,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_181536]) ).
tcf(c_249387,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_181536]) ).
tcf(c_249388,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_175344,c_181536]) ).
tcf(c_249389,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_175346,c_181536]) ).
tcf(c_249390,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_175347,c_181536]) ).
tcf(c_249391,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_175348,c_181536]) ).
tcf(c_249392,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_181536]) ).
tcf(c_249393,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_181536]) ).
tcf(c_249394,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_181536]) ).
tcf(c_249395,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_175352,c_181536]) ).
tcf(c_249396,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_181536]) ).
tcf(c_249398,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_175460,c_181536]) ).
tcf(c_249399,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_181536]) ).
tcf(c_249400,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_177405,c_181536]) ).
tcf(c_249401,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_178116,c_181536]) ).
tcf(c_249402,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_178122,c_181536]) ).
tcf(c_249403,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_178130,c_181536]) ).
tcf(c_249404,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_178134,c_181536]) ).
tcf(c_249405,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_179657,c_181536]) ).
tcf(c_249406,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_194181,c_181536]) ).
tcf(c_249407,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_181097,c_181536]) ).
tcf(c_249408,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_181888,c_181536]) ).
tcf(c_249409,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_181892,c_181536]) ).
tcf(c_249410,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_204357,c_181536]) ).
tcf(c_249411,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_182015,c_181536]) ).
tcf(c_249412,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_182028,c_181536]) ).
tcf(c_249413,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_182352,c_181536]) ).
tcf(c_249414,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_182356,c_181536]) ).
tcf(c_249415,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_182531,c_181536]) ).
tcf(c_249416,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_182535,c_181536]) ).
tcf(c_249417,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_182660,c_181536]) ).
tcf(c_249418,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_182664,c_181536]) ).
tcf(c_249419,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_182816,c_181536]) ).
tcf(c_249420,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_182829,c_181536]) ).
tcf(c_249421,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_183007,c_181536]) ).
tcf(c_249422,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_183020,c_181536]) ).
tcf(c_249423,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_183125,c_181536]) ).
tcf(c_249424,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_183138,c_181536]) ).
tcf(c_249427,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_183402,c_181536]) ).
tcf(c_249428,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_183406,c_181536]) ).
tcf(c_249429,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_183554,c_181536]) ).
tcf(c_249430,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_183567,c_181536]) ).
tcf(c_249431,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_183684,c_181536]) ).
tcf(c_249432,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_183688,c_181536]) ).
tcf(c_249435,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_184349,c_181536]) ).
tcf(c_249436,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_184408,c_181536]) ).
tcf(c_249439,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_193509,c_181536]) ).
tcf(c_249440,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_193716,c_181536]) ).
tcf(c_249441,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_194002,c_181536]) ).
tcf(c_249442,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_194654,c_181536]) ).
tcf(c_249443,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_194816,c_181536]) ).
tcf(c_249444,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_195334,c_181536]) ).
tcf(c_249445,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_196055,c_181536]) ).
tcf(c_249446,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_201209,c_181536]) ).
tcf(c_249447,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_198816,c_181536]) ).
tcf(c_249448,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_204699,c_181536]) ).
tcf(c_249449,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_204083,c_181536]) ).
tcf(c_249450,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_204955,c_181536]) ).
tcf(c_249451,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_209481,c_181536]) ).
tcf(c_249452,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_210576,c_181536]) ).
tcf(c_249453,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_207104,c_181536]) ).
tcf(c_249454,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_214415,c_181536]) ).
tcf(c_249455,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_217252,c_181536]) ).
tcf(c_249456,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_222973,c_181536]) ).
tcf(c_249457,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_225424,c_181536]) ).
tcf(c_250530,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_236034,c_1176]) ).
tcf(c_250531,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_236034,c_151]) ).
tcf(c_250532,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_236034,c_60]) ).
tcf(c_250534,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_236034,c_293]) ).
tcf(c_250535,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_236034,c_8246]) ).
tcf(c_250536,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_236034,c_8233]) ).
tcf(c_250594,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_247709,c_1176]) ).
tcf(c_250595,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_247709,c_151]) ).
tcf(c_250596,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_247709,c_60]) ).
tcf(c_250598,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_247709,c_293]) ).
tcf(c_250599,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_247709,c_8246]) ).
tcf(c_250600,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_247709,c_8233]) ).
tcf(c_250675,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_248654,c_1176]) ).
tcf(c_250676,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_248654,c_151]) ).
tcf(c_250677,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_248654,c_60]) ).
tcf(c_250679,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_248654,c_293]) ).
tcf(c_250680,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_248654,c_8246]) ).
tcf(c_250681,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_248654,c_8233]) ).
tcf(c_250785,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_249356,c_1176]) ).
tcf(c_250786,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_249356,c_151]) ).
tcf(c_250787,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_249356,c_60]) ).
tcf(c_250789,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_249356,c_293]) ).
tcf(c_250790,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_249356,c_8246]) ).
tcf(c_250791,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_249356,c_8233]) ).
tcf(c_250848,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_231050,c_72314,c_91012]) ).
tcf(c_250851,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_250848,c_1176]) ).
tcf(c_250852,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_250848,c_151]) ).
tcf(c_250855,plain,
m1_subset_1(k1_funct_1(sK4,k1_funct_1(sK4,sK12(iPr_def_20))),iPr_def_18),
inference(superposition,[status(thm)],[c_250848,c_293]) ).
tcf(c_250856,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_250848,c_8246]) ).
tcf(c_250857,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_250848,c_8233]) ).
tcf(c_250862,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_250857,c_225131,c_225132]) ).
tcf(c_250863,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_250862,c_170458,c_8255]) ).
tcf(c_250864,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_250856,c_173701]) ).
tcf(c_250870,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_250855,c_169840]) ).
tcf(c_250871,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_250855,c_169538]) ).
tcf(c_250878,plain,
! [X0: $i] :
( ( sK12(k1_zfmisc_1(k1_xboole_0)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_218,c_197157]) ).
tcf(c_250879,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_254,c_197157]) ).
tcf(c_250881,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_217107,c_197157]) ).
tcf(c_250882,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_217056,c_197157]) ).
tcf(c_250883,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_217043,c_197157]) ).
tcf(c_250884,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_217035,c_197157]) ).
tcf(c_250885,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_217102,c_197157]) ).
tcf(c_250886,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_217052,c_197157]) ).
tcf(c_250887,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_217039,c_197157]) ).
tcf(c_250888,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_217031,c_197157]) ).
tcf(c_250889,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_217097,c_197157]) ).
tcf(c_250890,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_217027,c_197157]) ).
tcf(c_250891,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_217009,c_197157]) ).
tcf(c_250892,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_216997,c_197157]) ).
tcf(c_250893,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_217092,c_197157]) ).
tcf(c_250894,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_217023,c_197157]) ).
tcf(c_250895,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_217005,c_197157]) ).
tcf(c_250896,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_216993,c_197157]) ).
tcf(c_250897,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_217087,c_197157]) ).
tcf(c_250898,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_217019,c_197157]) ).
tcf(c_250899,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_217001,c_197157]) ).
tcf(c_250900,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_216989,c_197157]) ).
tcf(c_250901,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_220117,c_197157]) ).
tcf(c_250902,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_196765,c_197157]) ).
tcf(c_251175,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_201585,c_1177]) ).
tcf(c_251176,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_201585,c_1176]) ).
tcf(c_251177,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_201585,c_151]) ).
tcf(c_251178,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_201585,c_60]) ).
tcf(c_251181,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_201585,c_8246]) ).
tcf(c_251182,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_201585,c_8233]) ).
tcf(c_251183,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_201585,c_8245]) ).
tcf(c_251184,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_201585,c_8232]) ).
tcf(c_251185,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_201585,c_168239]) ).
tcf(c_251186,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_201585,c_168240]) ).
tcf(c_251187,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_201585,c_168265]) ).
tcf(c_251188,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_201585,c_203101]) ).
tcf(c_251189,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_201585,c_203239]) ).
tcf(c_251190,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_201585,c_169314]) ).
tcf(c_251192,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_201585,c_181445]) ).
tcf(c_251193,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_201585,c_181361]) ).
tcf(c_251194,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_201585,c_172930]) ).
tcf(c_251195,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_201585,c_179238]) ).
tcf(c_251196,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_201585,c_179337]) ).
tcf(c_251197,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_201585,c_180060]) ).
tcf(c_251198,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_201585,c_180140]) ).
tcf(c_251199,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_201585,c_180237]) ).
tcf(c_251200,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_201585,c_180305]) ).
tcf(c_251201,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_201585,c_180432]) ).
tcf(c_251202,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_201585,c_180667]) ).
tcf(c_251203,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_201585,c_180717]) ).
tcf(c_251204,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_201585,c_181219]) ).
tcf(c_251205,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_201585,c_181537]) ).
tcf(c_251206,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_201585,c_184526]) ).
tcf(c_251207,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_201585,c_184616]) ).
tcf(c_251208,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_201585,c_196494]) ).
tcf(c_251209,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_201585,c_184726]) ).
tcf(c_251210,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_201585,c_185041]) ).
tcf(c_251211,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_201585,c_185126]) ).
tcf(c_251212,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_201585,c_185210]) ).
tcf(c_251213,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_201585,c_187660]) ).
tcf(c_251214,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_201585,c_189275]) ).
tcf(c_251215,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_201585,c_191571]) ).
tcf(c_251216,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_201585,c_191768]) ).
tcf(c_251217,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_201585,c_198682]) ).
tcf(c_251218,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_201585,c_204502]) ).
tcf(c_251219,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_201585,c_209570]) ).
tcf(c_251220,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_201585,c_207473]) ).
tcf(c_251274,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_251194,c_190]) ).
tcf(c_251561,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_205009,c_300]) ).
tcf(c_251562,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_205009,c_157]) ).
tcf(c_251563,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_205009,c_154]) ).
tcf(c_251564,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_205009,c_153]) ).
tcf(c_251565,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_205009,c_156]) ).
tcf(c_251566,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_205009,c_6730]) ).
tcf(c_251567,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_205009,c_170220]) ).
tcf(c_251568,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_205009,c_169792]) ).
tcf(c_251569,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_205009,c_168447]) ).
tcf(c_251570,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_205009,c_169483]) ).
tcf(c_251571,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_205009,c_170130]) ).
tcf(c_251572,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_205009,c_167885]) ).
tcf(c_251573,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_205009,c_170212]) ).
tcf(c_251574,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_205009,c_169784]) ).
tcf(c_251575,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_205009,c_169475]) ).
tcf(c_251576,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_205009,c_167838]) ).
tcf(c_251577,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_205009,c_169848]) ).
tcf(c_251578,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_205009,c_169546]) ).
tcf(c_251579,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_205009,c_168446]) ).
tcf(c_251580,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_205009,c_170125]) ).
tcf(c_251581,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_205009,c_169840]) ).
tcf(c_251582,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_205009,c_169538]) ).
tcf(c_251583,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_205009,c_168448]) ).
tcf(c_251866,plain,
! [X0: $i] :
( ( sK22(sK14(sK2)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8260,c_207999]) ).
tcf(c_251867,plain,
! [X0: $i] :
( ( sK22(sK14(sK8)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168,c_207999]) ).
tcf(c_251868,plain,
! [X0: $i] :
( ( sK22(sK14(sK3)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8256,c_207999]) ).
tcf(c_251869,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK14(sK14(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_207999]) ).
tcf(c_251870,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK14(sK10(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_207999]) ).
tcf(c_251886,plain,
! [X0: $i] :
( ( sK22(sK10(sK2)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8260,c_208000]) ).
tcf(c_251887,plain,
! [X0: $i] :
( ( sK22(sK10(sK8)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_168,c_208000]) ).
tcf(c_251888,plain,
! [X0: $i] :
( ( sK22(sK10(sK3)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_8256,c_208000]) ).
tcf(c_251889,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK10(sK14(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_208000]) ).
tcf(c_251890,plain,
! [X0: $i,X1: $i] :
( ( sK22(sK10(sK10(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_208000]) ).
tcf(c_251904,plain,
sK22(sK14(sK14(sK14(sK14(sK2))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_210911]) ).
tcf(c_251905,plain,
sK22(sK14(sK14(sK14(sK14(sK8))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_210911]) ).
tcf(c_251906,plain,
sK22(sK14(sK14(sK14(sK14(sK3))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_210911]) ).
tcf(c_251907,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK14(sK14(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_210911]) ).
tcf(c_251908,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK14(sK10(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_210911]) ).
tcf(c_251925,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_251904,c_170094]) ).
tcf(c_251926,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_251904,c_184211]) ).
tcf(c_251927,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_251904,c_168660]) ).
tcf(c_251928,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_251904,c_178236]) ).
tcf(c_251929,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_251904,c_168563]) ).
tcf(c_251930,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_251904,c_253]) ).
tcf(c_251932,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_251925,c_251904]) ).
tcf(c_251936,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_251928,c_251904]) ).
tcf(c_251937,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_251936,c_168112]) ).
tcf(c_251983,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_251906,c_170094]) ).
tcf(c_251984,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_251906,c_184211]) ).
tcf(c_251985,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_251906,c_168660]) ).
tcf(c_251986,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_251906,c_178236]) ).
tcf(c_251987,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_251906,c_168563]) ).
tcf(c_251988,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_251906,c_253]) ).
tcf(c_251990,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_251983,c_251906]) ).
tcf(c_251994,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_251986,c_251906]) ).
tcf(c_251995,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_251994,c_168112]) ).
tcf(c_252011,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_204777,c_204733,c_204737]) ).
tcf(c_252018,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_251905,c_170094]) ).
tcf(c_252019,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_251905,c_184211]) ).
tcf(c_252020,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_251905,c_168660]) ).
tcf(c_252021,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_251905,c_178236]) ).
tcf(c_252022,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_251905,c_168563]) ).
tcf(c_252023,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_251905,c_253]) ).
tcf(c_252025,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_252018,c_251905]) ).
tcf(c_252029,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_252021,c_251905]) ).
tcf(c_252030,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_252029,c_168112]) ).
tcf(c_252047,plain,
sK22(sK14(sK14(sK14(sK10(sK2))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8260,c_210912]) ).
tcf(c_252048,plain,
sK22(sK14(sK14(sK14(sK10(sK8))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_168,c_210912]) ).
tcf(c_252049,plain,
sK22(sK14(sK14(sK14(sK10(sK3))))) = k1_xboole_0,
inference(superposition,[status(thm)],[c_8256,c_210912]) ).
tcf(c_252050,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK10(sK14(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6682,c_210912]) ).
tcf(c_252051,plain,
! [X0: $i] :
( ( sK22(sK14(sK14(sK14(sK10(sK10(X0)))))) = k1_xboole_0 )
| ~ l1_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_6686,c_210912]) ).
tcf(c_252059,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_252047,c_170094]) ).
tcf(c_252060,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_252047,c_184211]) ).
tcf(c_252061,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_252047,c_168660]) ).
tcf(c_252062,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_252047,c_178236]) ).
tcf(c_252063,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_252047,c_168563]) ).
tcf(c_252064,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_252047,c_253]) ).
tcf(c_252066,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_252059,c_252047]) ).
tcf(c_252070,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_252062,c_252047]) ).
tcf(c_252071,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_252070,c_168112]) ).
tcf(c_252091,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_252048,c_170094]) ).
tcf(c_252092,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_252048,c_184211]) ).
tcf(c_252093,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_252048,c_168660]) ).
tcf(c_252094,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_252048,c_178236]) ).
tcf(c_252095,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_252048,c_168563]) ).
tcf(c_252096,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_252048,c_253]) ).
tcf(c_252098,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_252091,c_252048]) ).
tcf(c_252102,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_252094,c_252048]) ).
tcf(c_252103,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_252102,c_168112]) ).
tcf(c_252181,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_225804,c_1177]) ).
tcf(c_252182,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_225804,c_1176]) ).
tcf(c_252183,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_225804,c_151]) ).
tcf(c_252184,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225804,c_60]) ).
tcf(c_252186,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_225804,c_293]) ).
tcf(c_252187,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_225804,c_8246]) ).
tcf(c_252188,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_225804,c_8233]) ).
tcf(c_252202,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_252188,c_170458,c_8255]) ).
tcf(c_252205,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_252187,c_173701]) ).
tcf(c_252213,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_225805,c_1177]) ).
tcf(c_252214,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_225805,c_1176]) ).
tcf(c_252215,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_225805,c_151]) ).
tcf(c_252216,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225805,c_60]) ).
tcf(c_252218,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_225805,c_293]) ).
tcf(c_252219,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_225805,c_8246]) ).
tcf(c_252220,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_225805,c_8233]) ).
tcf(c_252234,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_252220,c_170458,c_8255]) ).
tcf(c_252237,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_252219,c_173701]) ).
tcf(c_252319,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_225806,c_1177]) ).
tcf(c_252320,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_225806,c_1176]) ).
tcf(c_252321,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_225806,c_151]) ).
tcf(c_252322,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225806,c_60]) ).
tcf(c_252324,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_225806,c_293]) ).
tcf(c_252325,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_225806,c_8246]) ).
tcf(c_252326,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_225806,c_8233]) ).
tcf(c_252340,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_252326,c_170458,c_8255]) ).
tcf(c_252343,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_252325,c_173701]) ).
tcf(c_252366,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_225816,c_1177]) ).
tcf(c_252367,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_225816,c_1176]) ).
tcf(c_252368,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_225816,c_151]) ).
tcf(c_252369,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225816,c_60]) ).
tcf(c_252371,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_225816,c_293]) ).
tcf(c_252372,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_225816,c_8246]) ).
tcf(c_252373,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_225816,c_8233]) ).
tcf(c_252387,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_252373,c_170458,c_8255]) ).
tcf(c_252390,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_252372,c_173701]) ).
tcf(c_252552,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_252049,c_170094]) ).
tcf(c_252553,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_252049,c_184211]) ).
tcf(c_252554,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_252049,c_168660]) ).
tcf(c_252555,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_252049,c_178236]) ).
tcf(c_252556,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_252049,c_168563]) ).
tcf(c_252557,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_252049,c_253]) ).
tcf(c_252559,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_252552,c_252049]) ).
tcf(c_252563,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_252555,c_252049]) ).
tcf(c_252564,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_252563,c_168112]) ).
tcf(c_252600,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_212991,c_185854]) ).
tcf(c_252601,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_212991,c_175079]) ).
tcf(c_252602,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_212991,c_177619]) ).
tcf(c_252603,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_212991,c_169768]) ).
tcf(c_252604,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_212991,c_169760]) ).
tcf(c_252605,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_212991,c_168892]) ).
tcf(c_252606,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_252605,c_212674]) ).
tcf(c_252607,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_252604,c_212674]) ).
tcf(c_252608,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_252603,c_212674]) ).
tcf(c_252609,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_252601,c_212674]) ).
tcf(c_252610,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_252602,c_212674]) ).
tcf(c_252611,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_252600,c_212991]) ).
tcf(c_252612,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_252611,c_212674]) ).
tcf(c_252621,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_252186,c_169840]) ).
tcf(c_252622,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_252186,c_169538]) ).
tcf(c_252646,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_252218,c_169840]) ).
tcf(c_252647,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_252218,c_169538]) ).
tcf(c_252657,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_252324,c_169840]) ).
tcf(c_252658,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_252324,c_169538]) ).
tcf(c_252684,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_252371,c_169840]) ).
tcf(c_252685,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_252371,c_169538]) ).
tcf(c_252694,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_225818,c_1177]) ).
tcf(c_252695,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_225818,c_1176]) ).
tcf(c_252696,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_225818,c_151]) ).
tcf(c_252697,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225818,c_60]) ).
tcf(c_252699,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_225818,c_293]) ).
tcf(c_252700,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_225818,c_8246]) ).
tcf(c_252701,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_225818,c_8233]) ).
tcf(c_252715,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_252701,c_174072]) ).
tcf(c_252770,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_225819,c_1177]) ).
tcf(c_252771,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_225819,c_1176]) ).
tcf(c_252772,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_225819,c_151]) ).
tcf(c_252773,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225819,c_60]) ).
tcf(c_252775,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_225819,c_293]) ).
tcf(c_252776,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_225819,c_8246]) ).
tcf(c_252777,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_225819,c_8233]) ).
tcf(c_252791,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_252777,c_174072]) ).
tcf(c_252813,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_225820,c_1177]) ).
tcf(c_252814,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_225820,c_1176]) ).
tcf(c_252815,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_225820,c_151]) ).
tcf(c_252816,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225820,c_60]) ).
tcf(c_252818,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_225820,c_293]) ).
tcf(c_252819,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_225820,c_8246]) ).
tcf(c_252820,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_225820,c_8233]) ).
tcf(c_252834,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_252820,c_174072]) ).
tcf(c_252872,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_225821,c_1177]) ).
tcf(c_252873,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_225821,c_1176]) ).
tcf(c_252874,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_225821,c_151]) ).
tcf(c_252875,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225821,c_60]) ).
tcf(c_252877,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_225821,c_293]) ).
tcf(c_252878,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_225821,c_8246]) ).
tcf(c_252879,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_225821,c_8233]) ).
tcf(c_252893,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_252879,c_174072]) ).
tcf(c_252948,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_200560,c_225822]) ).
tcf(c_252973,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_200560,c_228048]) ).
tcf(c_253035,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_200560,c_228900]) ).
tcf(c_253041,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_252608,c_1176]) ).
tcf(c_253042,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_252608,c_151]) ).
tcf(c_253046,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_252608,c_8246]) ).
tcf(c_253047,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_252608,c_8233]) ).
tcf(c_253071,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_252699,c_170212]) ).
tcf(c_253072,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_252699,c_169784]) ).
tcf(c_253073,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_252699,c_169475]) ).
tcf(c_253074,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_252699,c_167838]) ).
tcf(c_253136,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_252775,c_170212]) ).
tcf(c_253137,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_252775,c_169784]) ).
tcf(c_253138,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_252775,c_169475]) ).
tcf(c_253139,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_252775,c_167838]) ).
tcf(c_253157,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_252818,c_170212]) ).
tcf(c_253158,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_252818,c_169784]) ).
tcf(c_253159,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_252818,c_169475]) ).
tcf(c_253160,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_252818,c_167838]) ).
tcf(c_253188,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_252877,c_170212]) ).
tcf(c_253189,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_252877,c_169784]) ).
tcf(c_253190,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_252877,c_169475]) ).
tcf(c_253191,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_252877,c_167838]) ).
tcf(c_253205,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_225823,c_1177]) ).
tcf(c_253206,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_225823,c_1176]) ).
tcf(c_253207,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_225823,c_151]) ).
tcf(c_253208,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225823,c_60]) ).
tcf(c_253210,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_225823,c_293]) ).
tcf(c_253211,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_225823,c_8246]) ).
tcf(c_253212,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_225823,c_8233]) ).
tcf(c_253226,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_253212,c_174072]) ).
tcf(c_253261,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_225833,c_1177]) ).
tcf(c_253262,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_225833,c_1176]) ).
tcf(c_253263,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_225833,c_151]) ).
tcf(c_253264,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225833,c_60]) ).
tcf(c_253266,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_225833,c_293]) ).
tcf(c_253267,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_225833,c_8246]) ).
tcf(c_253268,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_225833,c_8233]) ).
tcf(c_253361,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_225836,c_1177]) ).
tcf(c_253362,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_225836,c_1176]) ).
tcf(c_253363,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_225836,c_151]) ).
tcf(c_253364,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_18)) ),
inference(superposition,[status(thm)],[c_225836,c_60]) ).
tcf(c_253366,plain,
( m1_subset_1(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_225836,c_293]) ).
tcf(c_253367,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_225836,c_8246]) ).
tcf(c_253368,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_225836,c_8233]) ).
tcf(c_253382,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_253368,c_174072]) ).
tcf(c_253420,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_200560,c_229632]) ).
tcf(c_253433,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_200560,c_231429]) ).
tcf(c_253446,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_200560,c_232489]) ).
tcf(c_253459,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_200560,c_233546]) ).
tcf(c_253472,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_200560,c_234556]) ).
tcf(c_253485,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_200560,c_236063]) ).
tcf(c_253509,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_200560,c_247738]) ).
tcf(c_253522,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_200560,c_248683]) ).
tcf(c_253532,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_253210,c_170212]) ).
tcf(c_253533,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_253210,c_169784]) ).
tcf(c_253534,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_253210,c_169475]) ).
tcf(c_253535,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_253210,c_167838]) ).
tcf(c_253817,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_253366,c_170212]) ).
tcf(c_253818,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_253366,c_169784]) ).
tcf(c_253819,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_253366,c_169475]) ).
tcf(c_253820,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_253366,c_167838]) ).
tcf(c_253860,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_200560,c_249385]) ).
tcf(c_253881,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_220117,c_226936]) ).
tcf(c_253926,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_220117,c_235911]) ).
tcf(c_253943,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_170634,c_225832]) ).
tcf(c_253956,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_253943,c_1177]) ).
tcf(c_253957,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_253943,c_1176]) ).
tcf(c_253958,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_253943,c_151]) ).
tcf(c_253959,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_253943,c_60]) ).
tcf(c_253961,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_253943,c_293]) ).
tcf(c_253962,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_253943,c_8246]) ).
tcf(c_253963,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_253943,c_8233]) ).
tcf(c_253987,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_253963,c_174072]) ).
tcf(c_254017,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_252607,c_169848]) ).
tcf(c_254018,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_252607,c_169546]) ).
tcf(c_254020,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_252607,c_170125]) ).
tcf(c_254065,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_228030,c_1176]) ).
tcf(c_254066,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_228030,c_151]) ).
tcf(c_254067,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228030,c_60]) ).
tcf(c_254069,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_228030,c_293]) ).
tcf(c_254070,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_228030,c_8246]) ).
tcf(c_254071,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_228030,c_8233]) ).
tcf(c_254082,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_254071,c_170458,c_8255]) ).
tcf(c_254085,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_254070,c_173701]) ).
tcf(c_254094,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_228031,c_1176]) ).
tcf(c_254095,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_228031,c_151]) ).
tcf(c_254096,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228031,c_60]) ).
tcf(c_254098,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_228031,c_293]) ).
tcf(c_254099,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_228031,c_8246]) ).
tcf(c_254100,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_228031,c_8233]) ).
tcf(c_254111,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_254100,c_170458,c_8255]) ).
tcf(c_254114,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_254099,c_173701]) ).
tcf(c_254157,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_253961,c_170212]) ).
tcf(c_254158,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_253961,c_169784]) ).
tcf(c_254159,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_253961,c_169475]) ).
tcf(c_254160,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_253961,c_167838]) ).
tcf(c_254217,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_253957,c_300]) ).
tcf(c_254218,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_253957,c_157]) ).
tcf(c_254219,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_253957,c_154]) ).
tcf(c_254220,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_253957,c_153]) ).
tcf(c_254221,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_253957,c_156]) ).
tcf(c_254222,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_253957,c_6730]) ).
tcf(c_254223,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_253957,c_170220]) ).
tcf(c_254224,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_253957,c_169792]) ).
tcf(c_254225,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_253957,c_168447]) ).
tcf(c_254226,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_253957,c_169483]) ).
tcf(c_254227,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_253957,c_170130]) ).
tcf(c_254228,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_253957,c_167885]) ).
tcf(c_254229,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_253957,c_170212]) ).
tcf(c_254230,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_253957,c_169784]) ).
tcf(c_254231,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_253957,c_169475]) ).
tcf(c_254232,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_253957,c_167838]) ).
tcf(c_254236,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_253957,c_170125]) ).
tcf(c_254237,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_253957,c_169840]) ).
tcf(c_254238,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_253957,c_169538]) ).
tcf(c_254239,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_253957,c_168448]) ).
tcf(c_254460,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_253958,c_1177]) ).
tcf(c_254461,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_253958,c_1176]) ).
tcf(c_254462,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_253958,c_151]) ).
tcf(c_254463,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_253958,c_60]) ).
tcf(c_254466,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_253958,c_8246]) ).
tcf(c_254467,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_253958,c_8233]) ).
tcf(c_254468,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_253958,c_8245]) ).
tcf(c_254469,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_253958,c_8232]) ).
tcf(c_254470,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_253958,c_168239]) ).
tcf(c_254471,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_253958,c_168240]) ).
tcf(c_254472,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_253958,c_168265]) ).
tcf(c_254473,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_253958,c_203101]) ).
tcf(c_254475,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_253958,c_169314]) ).
tcf(c_254477,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_253958,c_181445]) ).
tcf(c_254479,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_253958,c_172930]) ).
tcf(c_254480,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_253958,c_179238]) ).
tcf(c_254482,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_253958,c_180060]) ).
tcf(c_254483,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_253958,c_180140]) ).
tcf(c_254484,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_253958,c_180237]) ).
tcf(c_254488,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_253958,c_180717]) ).
tcf(c_254489,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_253958,c_181219]) ).
tcf(c_254490,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_253958,c_181537]) ).
tcf(c_254491,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_253958,c_184526]) ).
tcf(c_254492,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_253958,c_184616]) ).
tcf(c_254493,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_253958,c_196494]) ).
tcf(c_254494,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_253958,c_184726]) ).
tcf(c_254495,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_253958,c_185041]) ).
tcf(c_254499,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_253958,c_189275]) ).
tcf(c_254500,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_253958,c_191571]) ).
tcf(c_254502,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_253958,c_198682]) ).
tcf(c_254503,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_253958,c_204502]) ).
tcf(c_254504,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_253958,c_209570]) ).
tcf(c_254641,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_254470,c_168077]) ).
tcf(c_254715,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_226937,c_298]) ).
tcf(c_254733,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_170634,c_228058]) ).
tcf(c_254738,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_212992,c_185868]) ).
tcf(c_254739,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_212992,c_175080]) ).
tcf(c_254740,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_212992,c_178011]) ).
tcf(c_254741,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_212992,c_169781]) ).
tcf(c_254742,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_212992,c_169771]) ).
tcf(c_254743,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_254742,c_212674]) ).
tcf(c_254744,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_254741,c_212674]) ).
tcf(c_254745,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_254739,c_212674]) ).
tcf(c_254746,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_254740,c_212674]) ).
tcf(c_254747,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_254738,c_212992]) ).
tcf(c_254748,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_254747,c_212674]) ).
tcf(c_254814,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_254069,c_169840]) ).
tcf(c_254815,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_254069,c_169538]) ).
tcf(c_254825,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_254098,c_169840]) ).
tcf(c_254826,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_254098,c_169538]) ).
tcf(c_254832,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_254743,c_169848]) ).
tcf(c_254833,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_254743,c_169546]) ).
tcf(c_254835,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_254743,c_170125]) ).
tcf(c_254851,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_228032,c_1176]) ).
tcf(c_254852,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_228032,c_151]) ).
tcf(c_254853,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228032,c_60]) ).
tcf(c_254855,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_228032,c_293]) ).
tcf(c_254856,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_228032,c_8246]) ).
tcf(c_254857,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_228032,c_8233]) ).
tcf(c_254868,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_254857,c_170458,c_8255]) ).
tcf(c_254871,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_254856,c_173701]) ).
tcf(c_254880,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_228042,c_1176]) ).
tcf(c_254881,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_228042,c_151]) ).
tcf(c_254882,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228042,c_60]) ).
tcf(c_254884,plain,
( m1_subset_1(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_228042,c_293]) ).
tcf(c_254885,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_228042,c_8246]) ).
tcf(c_254886,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_228042,c_8233]) ).
tcf(c_254897,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_254886,c_170458,c_8255]) ).
tcf(c_254900,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_254885,c_173701]) ).
tcf(c_254965,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_228044,c_1176]) ).
tcf(c_254966,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_228044,c_151]) ).
tcf(c_254967,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228044,c_60]) ).
tcf(c_254969,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_228044,c_293]) ).
tcf(c_254970,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_228044,c_8246]) ).
tcf(c_254971,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_228044,c_8233]) ).
tcf(c_254982,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_254971,c_174072]) ).
tcf(c_255005,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_228045,c_1176]) ).
tcf(c_255006,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_228045,c_151]) ).
tcf(c_255007,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228045,c_60]) ).
tcf(c_255009,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_228045,c_293]) ).
tcf(c_255010,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_228045,c_8246]) ).
tcf(c_255011,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_228045,c_8233]) ).
tcf(c_255022,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_255011,c_174072]) ).
tcf(c_255056,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_254733,c_1176]) ).
tcf(c_255057,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_254733,c_151]) ).
tcf(c_255058,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_254733,c_60]) ).
tcf(c_255060,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_254733,c_293]) ).
tcf(c_255061,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_254733,c_8246]) ).
tcf(c_255062,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_254733,c_8233]) ).
tcf(c_255081,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_255062,c_174072]) ).
tcf(c_255132,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_255060,c_170212]) ).
tcf(c_255133,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_255060,c_169784]) ).
tcf(c_255134,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_255060,c_169475]) ).
tcf(c_255135,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_255060,c_167838]) ).
tcf(c_255186,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_255056,c_300]) ).
tcf(c_255187,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_255056,c_157]) ).
tcf(c_255188,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_255056,c_154]) ).
tcf(c_255189,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_255056,c_153]) ).
tcf(c_255190,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_255056,c_156]) ).
tcf(c_255191,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_255056,c_6730]) ).
tcf(c_255196,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_255056,c_170130]) ).
tcf(c_255198,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_255056,c_170212]) ).
tcf(c_255199,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_255056,c_169784]) ).
tcf(c_255200,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_255056,c_169475]) ).
tcf(c_255201,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_255056,c_167838]) ).
tcf(c_255202,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_255056,c_169848]) ).
tcf(c_255203,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_255056,c_169546]) ).
tcf(c_255204,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_255056,c_168446]) ).
tcf(c_255205,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_255056,c_170125]) ).
tcf(c_255206,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_255056,c_169840]) ).
tcf(c_255207,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_255056,c_169538]) ).
tcf(c_255208,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_255056,c_168448]) ).
tcf(c_255209,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_255056,c_201013]) ).
tcf(c_255210,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_255056,c_185814]) ).
tcf(c_255211,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_255056,c_174448]) ).
tcf(c_255212,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_255056,c_169728]) ).
tcf(c_255441,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_255057,c_1176]) ).
tcf(c_255442,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_255057,c_151]) ).
tcf(c_255443,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_255057,c_60]) ).
tcf(c_255446,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_255057,c_8246]) ).
tcf(c_255447,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_255057,c_8233]) ).
tcf(c_255448,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_255057,c_8245]) ).
tcf(c_255449,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_255057,c_8232]) ).
tcf(c_255450,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_255057,c_168239]) ).
tcf(c_255451,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_255057,c_168240]) ).
tcf(c_255452,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_255057,c_168265]) ).
tcf(c_255454,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_255057,c_203239]) ).
tcf(c_255455,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_255057,c_169314]) ).
tcf(c_255458,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_255057,c_181361]) ).
tcf(c_255459,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_255057,c_172930]) ).
tcf(c_255461,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_255057,c_179337]) ).
tcf(c_255465,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_255057,c_180305]) ).
tcf(c_255466,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_255057,c_180432]) ).
tcf(c_255467,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_255057,c_180667]) ).
tcf(c_255468,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_255057,c_180717]) ).
tcf(c_255470,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_255057,c_181537]) ).
tcf(c_255471,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_255057,c_184526]) ).
tcf(c_255472,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_255057,c_184616]) ).
tcf(c_255473,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_255057,c_196494]) ).
tcf(c_255476,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_255057,c_185126]) ).
tcf(c_255477,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_255057,c_185210]) ).
tcf(c_255478,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_255057,c_187660]) ).
tcf(c_255481,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_255057,c_191768]) ).
tcf(c_255482,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_255057,c_198682]) ).
tcf(c_255483,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_255057,c_204502]) ).
tcf(c_255485,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_255057,c_207473]) ).
tcf(c_255604,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_255451,c_169147]) ).
tcf(c_255759,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_170634,c_228910]) ).
tcf(c_255765,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_254744,c_1176]) ).
tcf(c_255766,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_254744,c_151]) ).
tcf(c_255770,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_254744,c_8246]) ).
tcf(c_255771,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_254744,c_8233]) ).
tcf(c_255802,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_254855,c_169840]) ).
tcf(c_255803,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_254855,c_169538]) ).
tcf(c_255813,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_254884,c_169840]) ).
tcf(c_255814,plain,
( ( k1_struct_0(sK3,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_254884,c_169538]) ).
tcf(c_255824,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_254969,c_170212]) ).
tcf(c_255825,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_254969,c_169784]) ).
tcf(c_255826,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_254969,c_169475]) ).
tcf(c_255827,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_254969,c_167838]) ).
tcf(c_255851,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_255009,c_170212]) ).
tcf(c_255852,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_255009,c_169784]) ).
tcf(c_255853,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_255009,c_169475]) ).
tcf(c_255854,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_255009,c_167838]) ).
tcf(c_255920,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_228047,c_1176]) ).
tcf(c_255921,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_228047,c_151]) ).
tcf(c_255922,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228047,c_60]) ).
tcf(c_255924,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_228047,c_293]) ).
tcf(c_255925,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_228047,c_8246]) ).
tcf(c_255926,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_228047,c_8233]) ).
tcf(c_255937,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_255926,c_174072]) ).
tcf(c_255961,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_228049,c_1176]) ).
tcf(c_255962,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_228049,c_151]) ).
tcf(c_255963,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228049,c_60]) ).
tcf(c_255965,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_228049,c_293]) ).
tcf(c_255966,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_228049,c_8246]) ).
tcf(c_255967,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_228049,c_8233]) ).
tcf(c_255978,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_255967,c_174072]) ).
tcf(c_256004,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_228059,c_1176]) ).
tcf(c_256005,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_228059,c_151]) ).
tcf(c_256006,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228059,c_60]) ).
tcf(c_256008,plain,
( m1_subset_1(sK17(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_228059,c_293]) ).
tcf(c_256009,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_228059,c_8246]) ).
tcf(c_256010,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_228059,c_8233]) ).
tcf(c_256040,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_228062,c_1176]) ).
tcf(c_256041,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_228062,c_151]) ).
tcf(c_256042,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_228062,c_60]) ).
tcf(c_256044,plain,
( m1_subset_1(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_228062,c_293]) ).
tcf(c_256045,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_228062,c_8246]) ).
tcf(c_256046,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_228062,c_8233]) ).
tcf(c_256057,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_256046,c_174072]) ).
tcf(c_256100,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_255759,c_1176]) ).
tcf(c_256101,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_255759,c_151]) ).
tcf(c_256102,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_255759,c_60]) ).
tcf(c_256104,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_255759,c_293]) ).
tcf(c_256105,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_255759,c_8246]) ).
tcf(c_256106,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_255759,c_8233]) ).
tcf(c_256125,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_256106,c_174072]) ).
tcf(c_256167,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_256104,c_170212]) ).
tcf(c_256168,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_256104,c_169784]) ).
tcf(c_256169,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_256104,c_169475]) ).
tcf(c_256170,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_256104,c_167838]) ).
tcf(c_256207,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_256100,c_300]) ).
tcf(c_256208,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_256100,c_157]) ).
tcf(c_256209,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_256100,c_154]) ).
tcf(c_256210,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_256100,c_153]) ).
tcf(c_256211,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_256100,c_156]) ).
tcf(c_256212,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_256100,c_6730]) ).
tcf(c_256217,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_256100,c_170130]) ).
tcf(c_256219,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_256100,c_170212]) ).
tcf(c_256220,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_256100,c_169784]) ).
tcf(c_256221,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_256100,c_169475]) ).
tcf(c_256222,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_256100,c_167838]) ).
tcf(c_256223,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_256100,c_169848]) ).
tcf(c_256224,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_256100,c_169546]) ).
tcf(c_256225,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_256100,c_168446]) ).
tcf(c_256226,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_256100,c_170125]) ).
tcf(c_256227,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_256100,c_169840]) ).
tcf(c_256228,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_256100,c_169538]) ).
tcf(c_256229,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_256100,c_168448]) ).
tcf(c_256230,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_256100,c_201039]) ).
tcf(c_256231,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_256100,c_186099]) ).
tcf(c_256232,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_256100,c_174488]) ).
tcf(c_256233,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_256100,c_169947]) ).
tcf(c_256465,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_256101,c_1176]) ).
tcf(c_256466,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_256101,c_151]) ).
tcf(c_256467,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_256101,c_60]) ).
tcf(c_256470,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_256101,c_8246]) ).
tcf(c_256471,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_256101,c_8233]) ).
tcf(c_256472,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_256101,c_8245]) ).
tcf(c_256473,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_256101,c_8232]) ).
tcf(c_256474,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_256101,c_168239]) ).
tcf(c_256475,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_256101,c_168240]) ).
tcf(c_256476,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_256101,c_168265]) ).
tcf(c_256478,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_256101,c_203239]) ).
tcf(c_256479,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_256101,c_169314]) ).
tcf(c_256482,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_256101,c_181361]) ).
tcf(c_256483,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_256101,c_172930]) ).
tcf(c_256485,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_256101,c_179337]) ).
tcf(c_256489,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_256101,c_180305]) ).
tcf(c_256490,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_256101,c_180432]) ).
tcf(c_256491,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_256101,c_180667]) ).
tcf(c_256492,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_256101,c_180717]) ).
tcf(c_256494,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_256101,c_181537]) ).
tcf(c_256495,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_256101,c_184526]) ).
tcf(c_256496,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_256101,c_184616]) ).
tcf(c_256497,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_256101,c_196494]) ).
tcf(c_256500,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_256101,c_185126]) ).
tcf(c_256501,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_256101,c_185210]) ).
tcf(c_256502,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_256101,c_187660]) ).
tcf(c_256505,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_256101,c_191768]) ).
tcf(c_256506,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_256101,c_198682]) ).
tcf(c_256507,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_256101,c_204502]) ).
tcf(c_256509,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_256101,c_207473]) ).
tcf(c_256628,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_256475,c_169169]) ).
tcf(c_256839,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_170634,c_229642]) ).
tcf(c_256849,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_255924,c_170212]) ).
tcf(c_256850,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_255924,c_169784]) ).
tcf(c_256851,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_255924,c_169475]) ).
tcf(c_256852,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_255924,c_167838]) ).
tcf(c_256922,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_255965,c_170212]) ).
tcf(c_256923,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_255965,c_169784]) ).
tcf(c_256924,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_255965,c_169475]) ).
tcf(c_256925,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_255965,c_167838]) ).
tcf(c_256952,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_256044,c_170212]) ).
tcf(c_256953,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_256044,c_169784]) ).
tcf(c_256954,plain,
( ( k1_struct_0(sK2,sK17(sK2)) = k1_tarski(sK17(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_256044,c_169475]) ).
tcf(c_256955,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_256044,c_167838]) ).
tcf(c_256991,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_228882,c_1176]) ).
tcf(c_256992,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_228882,c_151]) ).
tcf(c_256993,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228882,c_60]) ).
tcf(c_256995,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_228882,c_293]) ).
tcf(c_256996,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_228882,c_8246]) ).
tcf(c_256997,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_228882,c_8233]) ).
tcf(c_257008,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_256997,c_170458,c_8255]) ).
tcf(c_257011,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_256996,c_173701]) ).
tcf(c_257042,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_228883,c_1176]) ).
tcf(c_257043,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_228883,c_151]) ).
tcf(c_257044,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228883,c_60]) ).
tcf(c_257046,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_228883,c_293]) ).
tcf(c_257047,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_228883,c_8246]) ).
tcf(c_257048,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_228883,c_8233]) ).
tcf(c_257059,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_257048,c_170458,c_8255]) ).
tcf(c_257062,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_257047,c_173701]) ).
tcf(c_257071,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_228884,c_1176]) ).
tcf(c_257072,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_228884,c_151]) ).
tcf(c_257073,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228884,c_60]) ).
tcf(c_257075,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_228884,c_293]) ).
tcf(c_257076,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_228884,c_8246]) ).
tcf(c_257077,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_228884,c_8233]) ).
tcf(c_257088,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_257077,c_170458,c_8255]) ).
tcf(c_257091,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_257076,c_173701]) ).
tcf(c_257109,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_228894,c_1176]) ).
tcf(c_257110,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_228894,c_151]) ).
tcf(c_257111,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228894,c_60]) ).
tcf(c_257113,plain,
( m1_subset_1(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_228894,c_293]) ).
tcf(c_257114,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_228894,c_8246]) ).
tcf(c_257115,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_228894,c_8233]) ).
tcf(c_257126,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_257115,c_170458,c_8255]) ).
tcf(c_257129,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_257114,c_173701]) ).
tcf(c_257157,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_256839,c_1176]) ).
tcf(c_257158,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_256839,c_151]) ).
tcf(c_257159,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_256839,c_60]) ).
tcf(c_257161,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_256839,c_293]) ).
tcf(c_257162,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_256839,c_8246]) ).
tcf(c_257163,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_256839,c_8233]) ).
tcf(c_257182,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_257163,c_174072]) ).
tcf(c_257219,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_257161,c_170212]) ).
tcf(c_257220,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_257161,c_169784]) ).
tcf(c_257221,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_257161,c_169475]) ).
tcf(c_257222,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_257161,c_167838]) ).
tcf(c_257308,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_257157,c_300]) ).
tcf(c_257309,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_257157,c_157]) ).
tcf(c_257310,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_257157,c_154]) ).
tcf(c_257311,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_257157,c_153]) ).
tcf(c_257312,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_257157,c_156]) ).
tcf(c_257313,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_257157,c_6730]) ).
tcf(c_257318,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_257157,c_170130]) ).
tcf(c_257320,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_257157,c_170212]) ).
tcf(c_257321,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_257157,c_169784]) ).
tcf(c_257322,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_257157,c_169475]) ).
tcf(c_257323,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_257157,c_167838]) ).
tcf(c_257324,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_257157,c_169848]) ).
tcf(c_257325,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_257157,c_169546]) ).
tcf(c_257326,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_257157,c_168446]) ).
tcf(c_257327,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_257157,c_170125]) ).
tcf(c_257328,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_257157,c_169840]) ).
tcf(c_257329,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_257157,c_169538]) ).
tcf(c_257330,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_257157,c_168448]) ).
tcf(c_257331,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_257157,c_201065]) ).
tcf(c_257332,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_257157,c_186125]) ).
tcf(c_257333,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_257157,c_174575]) ).
tcf(c_257334,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_257157,c_169973]) ).
tcf(c_257491,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_257158,c_1176]) ).
tcf(c_257492,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_257158,c_151]) ).
tcf(c_257493,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_257158,c_60]) ).
tcf(c_257496,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_257158,c_8246]) ).
tcf(c_257497,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_257158,c_8233]) ).
tcf(c_257498,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_257158,c_8245]) ).
tcf(c_257499,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_257158,c_8232]) ).
tcf(c_257500,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_257158,c_168239]) ).
tcf(c_257501,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_257158,c_168240]) ).
tcf(c_257502,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_257158,c_168265]) ).
tcf(c_257504,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_257158,c_203239]) ).
tcf(c_257505,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_257158,c_169314]) ).
tcf(c_257508,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_257158,c_181361]) ).
tcf(c_257509,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_257158,c_172930]) ).
tcf(c_257511,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_257158,c_179337]) ).
tcf(c_257515,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_257158,c_180305]) ).
tcf(c_257516,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_257158,c_180432]) ).
tcf(c_257517,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_257158,c_180667]) ).
tcf(c_257518,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_257158,c_180717]) ).
tcf(c_257520,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_257158,c_181537]) ).
tcf(c_257521,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_257158,c_184526]) ).
tcf(c_257522,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_257158,c_184616]) ).
tcf(c_257523,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_257158,c_196494]) ).
tcf(c_257526,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_257158,c_185126]) ).
tcf(c_257527,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_257158,c_185210]) ).
tcf(c_257528,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_257158,c_187660]) ).
tcf(c_257531,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_257158,c_191768]) ).
tcf(c_257532,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_257158,c_198682]) ).
tcf(c_257533,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_257158,c_204502]) ).
tcf(c_257535,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_257158,c_207473]) ).
tcf(c_257654,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_257501,c_169200]) ).
tcf(c_257871,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_230726,c_298]) ).
tcf(c_257896,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_256995,c_169840]) ).
tcf(c_257897,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_256995,c_169538]) ).
tcf(c_257907,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_257046,c_169840]) ).
tcf(c_257908,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_257046,c_169538]) ).
tcf(c_257940,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_257075,c_169840]) ).
tcf(c_257941,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_257075,c_169538]) ).
tcf(c_257951,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_257113,c_169840]) ).
tcf(c_257952,plain,
( ( k1_struct_0(sK3,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_257113,c_169538]) ).
tcf(c_257974,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_228896,c_1176]) ).
tcf(c_257975,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_228896,c_151]) ).
tcf(c_257976,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228896,c_60]) ).
tcf(c_257978,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_228896,c_293]) ).
tcf(c_257979,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_228896,c_8246]) ).
tcf(c_257980,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_228896,c_8233]) ).
tcf(c_257991,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_257980,c_174072]) ).
tcf(c_258017,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_228897,c_1176]) ).
tcf(c_258018,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_228897,c_151]) ).
tcf(c_258019,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228897,c_60]) ).
tcf(c_258021,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_228897,c_293]) ).
tcf(c_258022,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_228897,c_8246]) ).
tcf(c_258023,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_228897,c_8233]) ).
tcf(c_258034,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_258023,c_174072]) ).
tcf(c_258099,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_228899,c_1176]) ).
tcf(c_258100,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_228899,c_151]) ).
tcf(c_258101,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228899,c_60]) ).
tcf(c_258103,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_228899,c_293]) ).
tcf(c_258104,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_228899,c_8246]) ).
tcf(c_258105,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_228899,c_8233]) ).
tcf(c_258116,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_258105,c_174072]) ).
tcf(c_258129,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_228901,c_1176]) ).
tcf(c_258130,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_228901,c_151]) ).
tcf(c_258131,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228901,c_60]) ).
tcf(c_258133,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_228901,c_293]) ).
tcf(c_258134,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_228901,c_8246]) ).
tcf(c_258135,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_228901,c_8233]) ).
tcf(c_258146,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_258135,c_174072]) ).
tcf(c_258224,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_230809,c_298]) ).
tcf(c_258241,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_230952,c_298]) ).
tcf(c_258259,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_170634,c_231439]) ).
tcf(c_258273,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_258259,c_1176]) ).
tcf(c_258274,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_258259,c_151]) ).
tcf(c_258275,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_258259,c_60]) ).
tcf(c_258277,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_258259,c_293]) ).
tcf(c_258278,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_258259,c_8246]) ).
tcf(c_258279,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_258259,c_8233]) ).
tcf(c_258298,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_258279,c_174072]) ).
tcf(c_258349,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_258277,c_170212]) ).
tcf(c_258350,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_258277,c_169784]) ).
tcf(c_258351,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_258277,c_169475]) ).
tcf(c_258352,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_258277,c_167838]) ).
tcf(c_258389,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_258273,c_300]) ).
tcf(c_258390,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_258273,c_157]) ).
tcf(c_258391,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_258273,c_154]) ).
tcf(c_258392,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_258273,c_153]) ).
tcf(c_258393,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_258273,c_156]) ).
tcf(c_258394,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_258273,c_6730]) ).
tcf(c_258395,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_258273,c_170220]) ).
tcf(c_258396,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_258273,c_169792]) ).
tcf(c_258397,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_258273,c_168447]) ).
tcf(c_258398,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_258273,c_169483]) ).
tcf(c_258399,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_258273,c_170130]) ).
tcf(c_258400,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_258273,c_167885]) ).
tcf(c_258401,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_258273,c_170212]) ).
tcf(c_258402,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_258273,c_169784]) ).
tcf(c_258403,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_258273,c_169475]) ).
tcf(c_258404,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_258273,c_167838]) ).
tcf(c_258408,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_258273,c_170125]) ).
tcf(c_258409,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_258273,c_169840]) ).
tcf(c_258410,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_258273,c_169538]) ).
tcf(c_258411,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_258273,c_168448]) ).
tcf(c_258570,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_257978,c_170212]) ).
tcf(c_258571,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_257978,c_169784]) ).
tcf(c_258572,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_257978,c_169475]) ).
tcf(c_258573,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_257978,c_167838]) ).
tcf(c_258588,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_258021,c_170212]) ).
tcf(c_258589,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_258021,c_169784]) ).
tcf(c_258590,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_258021,c_169475]) ).
tcf(c_258591,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_258021,c_167838]) ).
tcf(c_258614,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_258103,c_170212]) ).
tcf(c_258615,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_258103,c_169784]) ).
tcf(c_258616,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_258103,c_169475]) ).
tcf(c_258617,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_258103,c_167838]) ).
tcf(c_258651,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_258133,c_170212]) ).
tcf(c_258652,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_258133,c_169784]) ).
tcf(c_258653,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_258133,c_169475]) ).
tcf(c_258654,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_258133,c_167838]) ).
tcf(c_258669,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_228911,c_1176]) ).
tcf(c_258670,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_228911,c_151]) ).
tcf(c_258671,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228911,c_60]) ).
tcf(c_258673,plain,
( m1_subset_1(sK19(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_228911,c_293]) ).
tcf(c_258674,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_228911,c_8246]) ).
tcf(c_258675,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_228911,c_8233]) ).
tcf(c_258749,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_228914,c_1176]) ).
tcf(c_258750,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_228914,c_151]) ).
tcf(c_258751,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_228914,c_60]) ).
tcf(c_258753,plain,
( m1_subset_1(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_228914,c_293]) ).
tcf(c_258754,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_228914,c_8246]) ).
tcf(c_258755,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_228914,c_8233]) ).
tcf(c_258766,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_258755,c_174072]) ).
tcf(c_258779,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_229614,c_1176]) ).
tcf(c_258780,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_229614,c_151]) ).
tcf(c_258781,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229614,c_60]) ).
tcf(c_258783,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_229614,c_293]) ).
tcf(c_258784,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_229614,c_8246]) ).
tcf(c_258785,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_229614,c_8233]) ).
tcf(c_258796,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_258785,c_170458,c_8255]) ).
tcf(c_258799,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_258784,c_173701]) ).
tcf(c_258808,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_229615,c_1176]) ).
tcf(c_258809,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_229615,c_151]) ).
tcf(c_258810,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229615,c_60]) ).
tcf(c_258812,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_229615,c_293]) ).
tcf(c_258813,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_229615,c_8246]) ).
tcf(c_258814,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_229615,c_8233]) ).
tcf(c_258825,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_258814,c_170458,c_8255]) ).
tcf(c_258828,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_258813,c_173701]) ).
tcf(c_258916,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_258274,c_1176]) ).
tcf(c_258917,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_258274,c_151]) ).
tcf(c_258918,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_258274,c_60]) ).
tcf(c_258921,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_258274,c_8246]) ).
tcf(c_258922,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_258274,c_8233]) ).
tcf(c_258923,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_258274,c_8245]) ).
tcf(c_258924,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_258274,c_8232]) ).
tcf(c_258925,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_258274,c_168239]) ).
tcf(c_258926,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_258274,c_168240]) ).
tcf(c_258927,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_258274,c_168265]) ).
tcf(c_258928,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_258274,c_203101]) ).
tcf(c_258930,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_258274,c_169314]) ).
tcf(c_258932,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_258274,c_181445]) ).
tcf(c_258934,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_258274,c_172930]) ).
tcf(c_258935,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_258274,c_179238]) ).
tcf(c_258937,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_258274,c_180060]) ).
tcf(c_258938,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_258274,c_180140]) ).
tcf(c_258939,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_258274,c_180237]) ).
tcf(c_258943,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_258274,c_180717]) ).
tcf(c_258944,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_258274,c_181219]) ).
tcf(c_258945,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_258274,c_181537]) ).
tcf(c_258946,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_258274,c_184526]) ).
tcf(c_258947,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_258274,c_184616]) ).
tcf(c_258948,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_258274,c_196494]) ).
tcf(c_258949,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_258274,c_184726]) ).
tcf(c_258950,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_258274,c_185041]) ).
tcf(c_258954,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_258274,c_189275]) ).
tcf(c_258955,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_258274,c_191571]) ).
tcf(c_258957,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_258274,c_198682]) ).
tcf(c_258958,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_258274,c_204502]) ).
tcf(c_258959,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_258274,c_209570]) ).
tcf(c_259090,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_258925,c_169145]) ).
tcf(c_259304,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_170634,c_232499]) ).
tcf(c_259410,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_259304,c_1176]) ).
tcf(c_259411,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_259304,c_151]) ).
tcf(c_259412,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_259304,c_60]) ).
tcf(c_259414,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_259304,c_293]) ).
tcf(c_259415,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_259304,c_8246]) ).
tcf(c_259416,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_259304,c_8233]) ).
tcf(c_259435,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_259416,c_174072]) ).
tcf(c_259485,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_259414,c_170212]) ).
tcf(c_259486,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_259414,c_169784]) ).
tcf(c_259487,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_259414,c_169475]) ).
tcf(c_259488,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_259414,c_167838]) ).
tcf(c_259614,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_259410,c_300]) ).
tcf(c_259615,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_259410,c_157]) ).
tcf(c_259616,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_259410,c_154]) ).
tcf(c_259617,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_259410,c_153]) ).
tcf(c_259618,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_259410,c_156]) ).
tcf(c_259619,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_259410,c_6730]) ).
tcf(c_259620,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_259410,c_170220]) ).
tcf(c_259621,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_259410,c_169792]) ).
tcf(c_259622,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_259410,c_168447]) ).
tcf(c_259623,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_259410,c_169483]) ).
tcf(c_259624,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_259410,c_170130]) ).
tcf(c_259625,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_259410,c_167885]) ).
tcf(c_259626,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_259410,c_170212]) ).
tcf(c_259627,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_259410,c_169784]) ).
tcf(c_259628,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_259410,c_169475]) ).
tcf(c_259629,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_259410,c_167838]) ).
tcf(c_259633,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_259410,c_170125]) ).
tcf(c_259634,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_259410,c_169840]) ).
tcf(c_259635,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_259410,c_169538]) ).
tcf(c_259636,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_259410,c_168448]) ).
tcf(c_259772,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_259411,c_1176]) ).
tcf(c_259773,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_259411,c_151]) ).
tcf(c_259774,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_259411,c_60]) ).
tcf(c_259777,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_259411,c_8246]) ).
tcf(c_259778,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_259411,c_8233]) ).
tcf(c_259779,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_259411,c_8245]) ).
tcf(c_259780,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_259411,c_8232]) ).
tcf(c_259781,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_259411,c_168239]) ).
tcf(c_259782,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_259411,c_168240]) ).
tcf(c_259783,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_259411,c_168265]) ).
tcf(c_259784,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_259411,c_203101]) ).
tcf(c_259786,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_259411,c_169314]) ).
tcf(c_259788,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_259411,c_181445]) ).
tcf(c_259790,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_259411,c_172930]) ).
tcf(c_259791,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_259411,c_179238]) ).
tcf(c_259793,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_259411,c_180060]) ).
tcf(c_259794,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_259411,c_180140]) ).
tcf(c_259795,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_259411,c_180237]) ).
tcf(c_259799,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_259411,c_180717]) ).
tcf(c_259800,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_259411,c_181219]) ).
tcf(c_259801,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_259411,c_181537]) ).
tcf(c_259802,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_259411,c_184526]) ).
tcf(c_259803,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_259411,c_184616]) ).
tcf(c_259804,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_259411,c_196494]) ).
tcf(c_259805,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_259411,c_184726]) ).
tcf(c_259806,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_259411,c_185041]) ).
tcf(c_259810,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_259411,c_189275]) ).
tcf(c_259811,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_259411,c_191571]) ).
tcf(c_259813,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_259411,c_198682]) ).
tcf(c_259814,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_259411,c_204502]) ).
tcf(c_259815,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_259411,c_209570]) ).
tcf(c_259946,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_259781,c_169167]) ).
tcf(c_260073,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_258753,c_170212]) ).
tcf(c_260074,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_258753,c_169784]) ).
tcf(c_260075,plain,
( ( k1_struct_0(sK2,sK19(sK2)) = k1_tarski(sK19(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_258753,c_169475]) ).
tcf(c_260076,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_258753,c_167838]) ).
tcf(c_260091,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_258783,c_169840]) ).
tcf(c_260092,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_258783,c_169538]) ).
tcf(c_260102,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_258812,c_169840]) ).
tcf(c_260103,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_258812,c_169538]) ).
tcf(c_260113,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_229616,c_1176]) ).
tcf(c_260114,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_229616,c_151]) ).
tcf(c_260115,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229616,c_60]) ).
tcf(c_260117,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_229616,c_293]) ).
tcf(c_260118,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_229616,c_8246]) ).
tcf(c_260119,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_229616,c_8233]) ).
tcf(c_260130,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_260119,c_170458,c_8255]) ).
tcf(c_260133,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_260118,c_173701]) ).
tcf(c_260142,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_229626,c_1176]) ).
tcf(c_260143,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_229626,c_151]) ).
tcf(c_260144,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229626,c_60]) ).
tcf(c_260146,plain,
( m1_subset_1(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_229626,c_293]) ).
tcf(c_260147,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_229626,c_8246]) ).
tcf(c_260148,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_229626,c_8233]) ).
tcf(c_260159,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_260148,c_170458,c_8255]) ).
tcf(c_260162,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_260147,c_173701]) ).
tcf(c_260185,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_229628,c_1176]) ).
tcf(c_260186,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_229628,c_151]) ).
tcf(c_260187,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229628,c_60]) ).
tcf(c_260189,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_229628,c_293]) ).
tcf(c_260190,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_229628,c_8246]) ).
tcf(c_260191,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_229628,c_8233]) ).
tcf(c_260202,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_260191,c_174072]) ).
tcf(c_260272,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_229629,c_1176]) ).
tcf(c_260273,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_229629,c_151]) ).
tcf(c_260274,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229629,c_60]) ).
tcf(c_260276,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_229629,c_293]) ).
tcf(c_260277,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_229629,c_8246]) ).
tcf(c_260278,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_229629,c_8233]) ).
tcf(c_260289,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_260278,c_174072]) ).
tcf(c_260308,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_170634,c_233556]) ).
tcf(c_260322,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_260308,c_1176]) ).
tcf(c_260323,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_260308,c_151]) ).
tcf(c_260324,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_260308,c_60]) ).
tcf(c_260326,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_260308,c_293]) ).
tcf(c_260327,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_260308,c_8246]) ).
tcf(c_260328,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_260308,c_8233]) ).
tcf(c_260347,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_260328,c_174072]) ).
tcf(c_260378,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_260326,c_170212]) ).
tcf(c_260379,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_260326,c_169784]) ).
tcf(c_260380,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_260326,c_169475]) ).
tcf(c_260381,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_260326,c_167838]) ).
tcf(c_260447,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_260322,c_300]) ).
tcf(c_260448,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_260322,c_157]) ).
tcf(c_260449,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_260322,c_154]) ).
tcf(c_260450,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_260322,c_153]) ).
tcf(c_260451,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_260322,c_156]) ).
tcf(c_260452,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_260322,c_6730]) ).
tcf(c_260453,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_260322,c_170220]) ).
tcf(c_260454,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_260322,c_169792]) ).
tcf(c_260455,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_260322,c_168447]) ).
tcf(c_260456,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_260322,c_169483]) ).
tcf(c_260457,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_260322,c_170130]) ).
tcf(c_260458,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_260322,c_167885]) ).
tcf(c_260459,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_260322,c_170212]) ).
tcf(c_260460,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_260322,c_169784]) ).
tcf(c_260461,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_260322,c_169475]) ).
tcf(c_260462,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_260322,c_167838]) ).
tcf(c_260466,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_260322,c_170125]) ).
tcf(c_260467,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_260322,c_169840]) ).
tcf(c_260468,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_260322,c_169538]) ).
tcf(c_260469,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_260322,c_168448]) ).
tcf(c_260746,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_260323,c_1176]) ).
tcf(c_260747,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_260323,c_151]) ).
tcf(c_260748,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_260323,c_60]) ).
tcf(c_260751,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_260323,c_8246]) ).
tcf(c_260752,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_260323,c_8233]) ).
tcf(c_260753,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_260323,c_8245]) ).
tcf(c_260754,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_260323,c_8232]) ).
tcf(c_260755,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_260323,c_168239]) ).
tcf(c_260756,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_260323,c_168240]) ).
tcf(c_260757,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_260323,c_168265]) ).
tcf(c_260758,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_260323,c_203101]) ).
tcf(c_260760,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_260323,c_169314]) ).
tcf(c_260762,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_260323,c_181445]) ).
tcf(c_260764,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_260323,c_172930]) ).
tcf(c_260765,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_260323,c_179238]) ).
tcf(c_260767,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_260323,c_180060]) ).
tcf(c_260768,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_260323,c_180140]) ).
tcf(c_260769,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_260323,c_180237]) ).
tcf(c_260773,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_260323,c_180717]) ).
tcf(c_260774,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_260323,c_181219]) ).
tcf(c_260775,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_260323,c_181537]) ).
tcf(c_260776,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_260323,c_184526]) ).
tcf(c_260777,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_260323,c_184616]) ).
tcf(c_260778,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_260323,c_196494]) ).
tcf(c_260779,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_260323,c_184726]) ).
tcf(c_260780,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_260323,c_185041]) ).
tcf(c_260784,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_260323,c_189275]) ).
tcf(c_260785,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_260323,c_191571]) ).
tcf(c_260787,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_260323,c_198682]) ).
tcf(c_260788,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_260323,c_204502]) ).
tcf(c_260789,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_260323,c_209570]) ).
tcf(c_260920,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_260755,c_169198]) ).
tcf(c_261010,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_170634,c_234566]) ).
tcf(c_261024,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_260117,c_169840]) ).
tcf(c_261025,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_260117,c_169538]) ).
tcf(c_261035,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_260146,c_169840]) ).
tcf(c_261036,plain,
( ( k1_struct_0(sK3,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_260146,c_169538]) ).
tcf(c_261064,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_260189,c_170212]) ).
tcf(c_261065,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_260189,c_169784]) ).
tcf(c_261066,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_260189,c_169475]) ).
tcf(c_261067,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_260189,c_167838]) ).
tcf(c_261102,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_260276,c_170212]) ).
tcf(c_261103,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_260276,c_169784]) ).
tcf(c_261104,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_260276,c_169475]) ).
tcf(c_261105,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_260276,c_167838]) ).
tcf(c_261125,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_229631,c_1176]) ).
tcf(c_261126,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_229631,c_151]) ).
tcf(c_261127,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229631,c_60]) ).
tcf(c_261129,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_229631,c_293]) ).
tcf(c_261130,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_229631,c_8246]) ).
tcf(c_261131,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_229631,c_8233]) ).
tcf(c_261142,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_261131,c_174072]) ).
tcf(c_261183,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_229633,c_1176]) ).
tcf(c_261184,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_229633,c_151]) ).
tcf(c_261185,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229633,c_60]) ).
tcf(c_261187,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_229633,c_293]) ).
tcf(c_261188,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_229633,c_8246]) ).
tcf(c_261189,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_229633,c_8233]) ).
tcf(c_261200,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_261189,c_174072]) ).
tcf(c_261213,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_229643,c_1176]) ).
tcf(c_261214,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_229643,c_151]) ).
tcf(c_261215,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229643,c_60]) ).
tcf(c_261217,plain,
( m1_subset_1(sK25(sK2),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_229643,c_293]) ).
tcf(c_261218,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_229643,c_8246]) ).
tcf(c_261219,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_229643,c_8233]) ).
tcf(c_261254,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_229646,c_1176]) ).
tcf(c_261255,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_229646,c_151]) ).
tcf(c_261256,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_229646,c_60]) ).
tcf(c_261258,plain,
( m1_subset_1(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_229646,c_293]) ).
tcf(c_261259,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_229646,c_8246]) ).
tcf(c_261260,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_229646,c_8233]) ).
tcf(c_261271,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_261260,c_174072]) ).
tcf(c_261317,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_261010,c_1177]) ).
tcf(c_261318,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_261010,c_1176]) ).
tcf(c_261319,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_261010,c_151]) ).
tcf(c_261320,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_261010,c_60]) ).
tcf(c_261322,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_261010,c_293]) ).
tcf(c_261323,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_261010,c_8246]) ).
tcf(c_261324,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_261010,c_8233]) ).
tcf(c_261348,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_261324,c_174072]) ).
tcf(c_261369,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_261322,c_170212]) ).
tcf(c_261370,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_261322,c_169784]) ).
tcf(c_261371,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_261322,c_169475]) ).
tcf(c_261372,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_261322,c_167838]) ).
tcf(c_261455,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_261318,c_300]) ).
tcf(c_261456,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_261318,c_157]) ).
tcf(c_261457,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_261318,c_154]) ).
tcf(c_261458,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_261318,c_153]) ).
tcf(c_261459,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_261318,c_156]) ).
tcf(c_261460,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_261318,c_6730]) ).
tcf(c_261461,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_261318,c_170220]) ).
tcf(c_261462,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_261318,c_169792]) ).
tcf(c_261463,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_261318,c_168447]) ).
tcf(c_261464,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_261318,c_169483]) ).
tcf(c_261465,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_261318,c_170130]) ).
tcf(c_261466,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_261318,c_167885]) ).
tcf(c_261467,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_261318,c_170212]) ).
tcf(c_261468,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_261318,c_169784]) ).
tcf(c_261469,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_261318,c_169475]) ).
tcf(c_261470,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_261318,c_167838]) ).
tcf(c_261471,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_261318,c_169848]) ).
tcf(c_261472,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_261318,c_169546]) ).
tcf(c_261473,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_261318,c_168446]) ).
tcf(c_261474,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_261318,c_170125]) ).
tcf(c_261475,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_261318,c_169840]) ).
tcf(c_261476,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_261318,c_169538]) ).
tcf(c_261666,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_261319,c_1177]) ).
tcf(c_261667,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_261319,c_1176]) ).
tcf(c_261668,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_261319,c_151]) ).
tcf(c_261669,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_261319,c_60]) ).
tcf(c_261672,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_261319,c_8246]) ).
tcf(c_261673,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_261319,c_8233]) ).
tcf(c_261674,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_261319,c_8245]) ).
tcf(c_261675,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_261319,c_8232]) ).
tcf(c_261676,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_261319,c_168239]) ).
tcf(c_261677,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_261319,c_168240]) ).
tcf(c_261678,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_261319,c_168265]) ).
tcf(c_261679,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_261319,c_203101]) ).
tcf(c_261680,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_261319,c_203239]) ).
tcf(c_261681,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_261319,c_169314]) ).
tcf(c_261683,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_261319,c_181445]) ).
tcf(c_261684,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_261319,c_181361]) ).
tcf(c_261685,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_261319,c_172930]) ).
tcf(c_261686,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_261319,c_179238]) ).
tcf(c_261687,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_261319,c_179337]) ).
tcf(c_261688,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_261319,c_180060]) ).
tcf(c_261689,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_261319,c_180140]) ).
tcf(c_261690,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_261319,c_180237]) ).
tcf(c_261691,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_261319,c_180305]) ).
tcf(c_261692,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_261319,c_180432]) ).
tcf(c_261693,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_261319,c_180667]) ).
tcf(c_261695,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_261319,c_181219]) ).
tcf(c_261699,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_261319,c_196494]) ).
tcf(c_261700,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_261319,c_184726]) ).
tcf(c_261701,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_261319,c_185041]) ).
tcf(c_261702,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_261319,c_185126]) ).
tcf(c_261703,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_261319,c_185210]) ).
tcf(c_261704,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_261319,c_187660]) ).
tcf(c_261705,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_261319,c_189275]) ).
tcf(c_261706,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_261319,c_191571]) ).
tcf(c_261707,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_261319,c_191768]) ).
tcf(c_261708,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_261319,c_198682]) ).
tcf(c_261709,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_261319,c_204502]) ).
tcf(c_261710,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_261319,c_209570]) ).
tcf(c_261711,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_261319,c_207473]) ).
tcf(c_262056,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_235586,c_298]) ).
tcf(c_262191,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_261129,c_170212]) ).
tcf(c_262192,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_261129,c_169784]) ).
tcf(c_262193,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_261129,c_169475]) ).
tcf(c_262194,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_261129,c_167838]) ).
tcf(c_262209,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_261187,c_170212]) ).
tcf(c_262210,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_261187,c_169784]) ).
tcf(c_262211,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_261187,c_169475]) ).
tcf(c_262212,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_261187,c_167838]) ).
tcf(c_262232,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_261258,c_170212]) ).
tcf(c_262233,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_261258,c_169784]) ).
tcf(c_262234,plain,
( ( k1_struct_0(sK2,sK25(sK2)) = k1_tarski(sK25(sK2)) )
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_261258,c_169475]) ).
tcf(c_262235,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_261258,c_167838]) ).
tcf(c_262293,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_231411,c_1176]) ).
tcf(c_262294,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_231411,c_151]) ).
tcf(c_262295,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231411,c_60]) ).
tcf(c_262297,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_231411,c_293]) ).
tcf(c_262298,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_231411,c_8246]) ).
tcf(c_262299,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_231411,c_8233]) ).
tcf(c_262310,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_262299,c_170458,c_8255]) ).
tcf(c_262313,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_262298,c_173701]) ).
tcf(c_262339,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_231412,c_1176]) ).
tcf(c_262340,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_231412,c_151]) ).
tcf(c_262341,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231412,c_60]) ).
tcf(c_262343,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_231412,c_293]) ).
tcf(c_262344,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_231412,c_8246]) ).
tcf(c_262345,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_231412,c_8233]) ).
tcf(c_262356,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_262345,c_170458,c_8255]) ).
tcf(c_262359,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_262344,c_173701]) ).
tcf(c_262421,plain,
( v1_xboole_0(iPr_def_20)
| ~ v1_xboole_0(sK16(iPr_def_20)) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_262427,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_231413,c_1176]) ).
tcf(c_262428,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_231413,c_151]) ).
tcf(c_262429,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231413,c_60]) ).
tcf(c_262431,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_231413,c_293]) ).
tcf(c_262432,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_231413,c_8246]) ).
tcf(c_262433,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_231413,c_8233]) ).
tcf(c_262444,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_262433,c_170458,c_8255]) ).
tcf(c_262447,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_262432,c_173701]) ).
tcf(c_262456,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_231423,c_1176]) ).
tcf(c_262457,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_231423,c_151]) ).
tcf(c_262458,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231423,c_60]) ).
tcf(c_262460,plain,
( m1_subset_1(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_231423,c_293]) ).
tcf(c_262461,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_231423,c_8246]) ).
tcf(c_262462,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_231423,c_8233]) ).
tcf(c_262473,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_262462,c_170458,c_8255]) ).
tcf(c_262476,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_262461,c_173701]) ).
tcf(c_262490,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_235662,c_298]) ).
tcf(c_262507,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_235738,c_298]) ).
tcf(c_262524,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_235912,c_298]) ).
tcf(c_262542,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_170634,c_236073]) ).
tcf(c_262556,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_262542,c_1176]) ).
tcf(c_262557,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_262542,c_151]) ).
tcf(c_262558,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_262542,c_60]) ).
tcf(c_262560,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_262542,c_293]) ).
tcf(c_262561,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_262542,c_8246]) ).
tcf(c_262562,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_262542,c_8233]) ).
tcf(c_262581,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_262562,c_174072]) ).
tcf(c_262602,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_262560,c_170212]) ).
tcf(c_262603,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_262560,c_169784]) ).
tcf(c_262604,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_262560,c_169475]) ).
tcf(c_262605,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_262560,c_167838]) ).
tcf(c_262642,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_262556,c_300]) ).
tcf(c_262643,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_262556,c_157]) ).
tcf(c_262644,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_262556,c_154]) ).
tcf(c_262645,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_262556,c_153]) ).
tcf(c_262646,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_262556,c_156]) ).
tcf(c_262647,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_262556,c_6730]) ).
tcf(c_262652,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_262556,c_170130]) ).
tcf(c_262654,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_262556,c_170212]) ).
tcf(c_262655,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_262556,c_169784]) ).
tcf(c_262656,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_262556,c_169475]) ).
tcf(c_262657,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_262556,c_167838]) ).
tcf(c_262658,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_262556,c_169848]) ).
tcf(c_262659,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_262556,c_169546]) ).
tcf(c_262660,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_262556,c_168446]) ).
tcf(c_262661,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_262556,c_170125]) ).
tcf(c_262662,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_262556,c_169840]) ).
tcf(c_262663,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_262556,c_169538]) ).
tcf(c_262664,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_262556,c_168448]) ).
tcf(c_262820,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_262297,c_169840]) ).
tcf(c_262821,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_262297,c_169538]) ).
tcf(c_262831,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_262343,c_169840]) ).
tcf(c_262832,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_262343,c_169538]) ).
tcf(c_262842,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_262431,c_169840]) ).
tcf(c_262843,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_262431,c_169538]) ).
tcf(c_262853,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_262460,c_169840]) ).
tcf(c_262854,plain,
( ( k1_struct_0(sK3,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_262460,c_169538]) ).
tcf(c_262864,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_231425,c_1176]) ).
tcf(c_262865,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_231425,c_151]) ).
tcf(c_262866,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231425,c_60]) ).
tcf(c_262868,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_231425,c_293]) ).
tcf(c_262869,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_231425,c_8246]) ).
tcf(c_262870,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_231425,c_8233]) ).
tcf(c_262881,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_262870,c_174072]) ).
tcf(c_262904,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_231426,c_1176]) ).
tcf(c_262905,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_231426,c_151]) ).
tcf(c_262906,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231426,c_60]) ).
tcf(c_262908,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_231426,c_293]) ).
tcf(c_262909,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_231426,c_8246]) ).
tcf(c_262910,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_231426,c_8233]) ).
tcf(c_262921,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_262910,c_174072]) ).
tcf(c_262972,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_231427,c_1176]) ).
tcf(c_262973,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_231427,c_151]) ).
tcf(c_262974,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231427,c_60]) ).
tcf(c_262976,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_231427,c_293]) ).
tcf(c_262977,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_231427,c_8246]) ).
tcf(c_262978,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_231427,c_8233]) ).
tcf(c_262989,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_262978,c_174072]) ).
tcf(c_263002,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_231428,c_1176]) ).
tcf(c_263003,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_231428,c_151]) ).
tcf(c_263004,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231428,c_60]) ).
tcf(c_263006,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_231428,c_293]) ).
tcf(c_263007,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_231428,c_8246]) ).
tcf(c_263008,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_231428,c_8233]) ).
tcf(c_263019,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_263008,c_174072]) ).
tcf(c_263054,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_262557,c_1176]) ).
tcf(c_263055,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_262557,c_151]) ).
tcf(c_263056,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_262557,c_60]) ).
tcf(c_263059,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_262557,c_8246]) ).
tcf(c_263060,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_262557,c_8233]) ).
tcf(c_263061,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_262557,c_8245]) ).
tcf(c_263062,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_262557,c_8232]) ).
tcf(c_263063,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_262557,c_168239]) ).
tcf(c_263064,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_262557,c_168240]) ).
tcf(c_263065,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_262557,c_168265]) ).
tcf(c_263067,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_262557,c_203239]) ).
tcf(c_263068,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_262557,c_169314]) ).
tcf(c_263071,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_262557,c_181361]) ).
tcf(c_263072,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_262557,c_172930]) ).
tcf(c_263074,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_262557,c_179337]) ).
tcf(c_263078,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_262557,c_180305]) ).
tcf(c_263079,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_262557,c_180432]) ).
tcf(c_263080,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_262557,c_180667]) ).
tcf(c_263081,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_262557,c_180717]) ).
tcf(c_263083,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_262557,c_181537]) ).
tcf(c_263084,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_262557,c_184526]) ).
tcf(c_263085,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_262557,c_184616]) ).
tcf(c_263086,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_262557,c_196494]) ).
tcf(c_263089,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_262557,c_185126]) ).
tcf(c_263090,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_262557,c_185210]) ).
tcf(c_263091,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_262557,c_187660]) ).
tcf(c_263094,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_262557,c_191768]) ).
tcf(c_263095,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_262557,c_198682]) ).
tcf(c_263096,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_262557,c_204502]) ).
tcf(c_263098,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_262557,c_207473]) ).
tcf(c_263099,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_263072,c_190]) ).
tcf(c_263217,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_263064,c_177230]) ).
tcf(c_263328,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_170634,c_247748]) ).
tcf(c_263342,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_263328,c_1176]) ).
tcf(c_263343,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_263328,c_151]) ).
tcf(c_263344,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_263328,c_60]) ).
tcf(c_263346,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_263328,c_293]) ).
tcf(c_263347,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_263328,c_8246]) ).
tcf(c_263348,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_263328,c_8233]) ).
tcf(c_263367,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_263348,c_174072]) ).
tcf(c_263437,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_263346,c_170212]) ).
tcf(c_263438,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_263346,c_169784]) ).
tcf(c_263439,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_263346,c_169475]) ).
tcf(c_263440,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_263346,c_167838]) ).
tcf(c_263524,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_263342,c_300]) ).
tcf(c_263525,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_263342,c_157]) ).
tcf(c_263526,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_263342,c_154]) ).
tcf(c_263527,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_263342,c_153]) ).
tcf(c_263528,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_263342,c_156]) ).
tcf(c_263529,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_263342,c_6730]) ).
tcf(c_263530,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_263342,c_170220]) ).
tcf(c_263531,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_263342,c_169792]) ).
tcf(c_263532,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_263342,c_168447]) ).
tcf(c_263533,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_263342,c_169483]) ).
tcf(c_263534,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_263342,c_170130]) ).
tcf(c_263535,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_263342,c_167885]) ).
tcf(c_263536,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_263342,c_170212]) ).
tcf(c_263537,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_263342,c_169784]) ).
tcf(c_263538,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_263342,c_169475]) ).
tcf(c_263539,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_263342,c_167838]) ).
tcf(c_263543,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_263342,c_170125]) ).
tcf(c_263544,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_263342,c_169840]) ).
tcf(c_263545,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_263342,c_169538]) ).
tcf(c_263546,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_263342,c_168448]) ).
tcf(c_263802,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_262868,c_170212]) ).
tcf(c_263803,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_262868,c_169784]) ).
tcf(c_263804,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_262868,c_169475]) ).
tcf(c_263805,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_262868,c_167838]) ).
tcf(c_263820,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_262908,c_170212]) ).
tcf(c_263821,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_262908,c_169784]) ).
tcf(c_263822,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_262908,c_169475]) ).
tcf(c_263823,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_262908,c_167838]) ).
tcf(c_263838,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_262976,c_170212]) ).
tcf(c_263839,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_262976,c_169784]) ).
tcf(c_263840,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_262976,c_169475]) ).
tcf(c_263841,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_262976,c_167838]) ).
tcf(c_264004,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_263006,c_170212]) ).
tcf(c_264005,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_263006,c_169784]) ).
tcf(c_264006,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_263006,c_169475]) ).
tcf(c_264007,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_263006,c_167838]) ).
tcf(c_264022,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_231430,c_1176]) ).
tcf(c_264023,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_231430,c_151]) ).
tcf(c_264024,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231430,c_60]) ).
tcf(c_264026,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_231430,c_293]) ).
tcf(c_264027,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_231430,c_8246]) ).
tcf(c_264028,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_231430,c_8233]) ).
tcf(c_264039,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_264028,c_174072]) ).
tcf(c_264095,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_231440,c_1176]) ).
tcf(c_264096,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_231440,c_151]) ).
tcf(c_264097,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231440,c_60]) ).
tcf(c_264099,plain,
( m1_subset_1(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_231440,c_293]) ).
tcf(c_264100,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_231440,c_8246]) ).
tcf(c_264101,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_231440,c_8233]) ).
tcf(c_264125,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_231443,c_1176]) ).
tcf(c_264126,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_231443,c_151]) ).
tcf(c_264127,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK17(sK3)) ),
inference(superposition,[status(thm)],[c_231443,c_60]) ).
tcf(c_264129,plain,
( m1_subset_1(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_231443,c_293]) ).
tcf(c_264130,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_231443,c_8246]) ).
tcf(c_264131,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_231443,c_8233]) ).
tcf(c_264142,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_264131,c_174072]) ).
tcf(c_264155,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_232471,c_1176]) ).
tcf(c_264156,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_232471,c_151]) ).
tcf(c_264157,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232471,c_60]) ).
tcf(c_264159,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_232471,c_293]) ).
tcf(c_264160,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_232471,c_8246]) ).
tcf(c_264161,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_232471,c_8233]) ).
tcf(c_264172,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_264161,c_170458,c_8255]) ).
tcf(c_264175,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_264160,c_173701]) ).
tcf(c_264190,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_263343,c_1176]) ).
tcf(c_264191,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_263343,c_151]) ).
tcf(c_264192,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_263343,c_60]) ).
tcf(c_264195,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_263343,c_8246]) ).
tcf(c_264196,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_263343,c_8233]) ).
tcf(c_264197,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_263343,c_8245]) ).
tcf(c_264198,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_263343,c_8232]) ).
tcf(c_264199,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_263343,c_168239]) ).
tcf(c_264200,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_263343,c_168240]) ).
tcf(c_264201,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_263343,c_168265]) ).
tcf(c_264202,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_263343,c_203101]) ).
tcf(c_264204,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_263343,c_169314]) ).
tcf(c_264206,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_263343,c_181445]) ).
tcf(c_264208,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_263343,c_172930]) ).
tcf(c_264209,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_263343,c_179238]) ).
tcf(c_264211,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_263343,c_180060]) ).
tcf(c_264212,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_263343,c_180140]) ).
tcf(c_264213,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_263343,c_180237]) ).
tcf(c_264217,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_263343,c_180717]) ).
tcf(c_264218,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_263343,c_181219]) ).
tcf(c_264219,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_263343,c_181537]) ).
tcf(c_264220,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_263343,c_184526]) ).
tcf(c_264221,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_263343,c_184616]) ).
tcf(c_264222,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_263343,c_196494]) ).
tcf(c_264223,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_263343,c_184726]) ).
tcf(c_264224,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_263343,c_185041]) ).
tcf(c_264228,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_263343,c_189275]) ).
tcf(c_264229,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_263343,c_191571]) ).
tcf(c_264231,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_263343,c_198682]) ).
tcf(c_264232,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_263343,c_204502]) ).
tcf(c_264233,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_263343,c_209570]) ).
tcf(c_264364,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_264199,c_172]) ).
tcf(c_264540,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_170634,c_248693]) ).
tcf(c_264554,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_264540,c_1176]) ).
tcf(c_264555,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_264540,c_151]) ).
tcf(c_264556,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_264540,c_60]) ).
tcf(c_264558,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_264540,c_293]) ).
tcf(c_264559,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_264540,c_8246]) ).
tcf(c_264560,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_264540,c_8233]) ).
tcf(c_264579,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_264560,c_174072]) ).
tcf(c_264606,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_264558,c_170212]) ).
tcf(c_264607,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_264558,c_169784]) ).
tcf(c_264608,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_264558,c_169475]) ).
tcf(c_264609,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_264558,c_167838]) ).
tcf(c_264654,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_264554,c_300]) ).
tcf(c_264655,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_264554,c_157]) ).
tcf(c_264656,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_264554,c_154]) ).
tcf(c_264657,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_264554,c_153]) ).
tcf(c_264658,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_264554,c_156]) ).
tcf(c_264659,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_264554,c_6730]) ).
tcf(c_264664,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_264554,c_170130]) ).
tcf(c_264666,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_264554,c_170212]) ).
tcf(c_264667,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_264554,c_169784]) ).
tcf(c_264668,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_264554,c_169475]) ).
tcf(c_264669,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_264554,c_167838]) ).
tcf(c_264670,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_264554,c_169848]) ).
tcf(c_264671,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_264554,c_169546]) ).
tcf(c_264672,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_264554,c_168446]) ).
tcf(c_264673,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_264554,c_170125]) ).
tcf(c_264674,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_264554,c_169840]) ).
tcf(c_264675,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_264554,c_169538]) ).
tcf(c_264676,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_264554,c_168448]) ).
tcf(c_264856,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_264555,c_1176]) ).
tcf(c_264857,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_264555,c_151]) ).
tcf(c_264858,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_264555,c_60]) ).
tcf(c_264861,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_264555,c_8246]) ).
tcf(c_264862,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_264555,c_8233]) ).
tcf(c_264863,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_264555,c_8245]) ).
tcf(c_264864,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_264555,c_8232]) ).
tcf(c_264865,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_264555,c_168239]) ).
tcf(c_264866,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_264555,c_168240]) ).
tcf(c_264867,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_264555,c_168265]) ).
tcf(c_264869,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_264555,c_203239]) ).
tcf(c_264870,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_264555,c_169314]) ).
tcf(c_264873,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_264555,c_181361]) ).
tcf(c_264874,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_264555,c_172930]) ).
tcf(c_264876,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_264555,c_179337]) ).
tcf(c_264880,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_264555,c_180305]) ).
tcf(c_264881,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_264555,c_180432]) ).
tcf(c_264882,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_264555,c_180667]) ).
tcf(c_264883,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_264555,c_180717]) ).
tcf(c_264885,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_264555,c_181537]) ).
tcf(c_264886,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_264555,c_184526]) ).
tcf(c_264887,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_264555,c_184616]) ).
tcf(c_264888,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_264555,c_196494]) ).
tcf(c_264891,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_264555,c_185126]) ).
tcf(c_264892,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_264555,c_185210]) ).
tcf(c_264893,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_264555,c_187660]) ).
tcf(c_264896,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_264555,c_191768]) ).
tcf(c_264897,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_264555,c_198682]) ).
tcf(c_264898,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_264555,c_204502]) ).
tcf(c_264900,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_264555,c_207473]) ).
tcf(c_265019,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_264866,c_172]) ).
tcf(c_265090,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_264026,c_170212]) ).
tcf(c_265091,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_264026,c_169784]) ).
tcf(c_265092,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_264026,c_169475]) ).
tcf(c_265093,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_264026,c_167838]) ).
tcf(c_265115,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_264129,c_170212]) ).
tcf(c_265116,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_264129,c_169784]) ).
tcf(c_265117,plain,
( ( k1_struct_0(sK2,sK17(sK3)) = k1_tarski(sK17(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_264129,c_169475]) ).
tcf(c_265118,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_264129,c_167838]) ).
tcf(c_265166,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_264159,c_169840]) ).
tcf(c_265167,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_264159,c_169538]) ).
tcf(c_265264,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_232472,c_1176]) ).
tcf(c_265265,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_232472,c_151]) ).
tcf(c_265266,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232472,c_60]) ).
tcf(c_265268,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_232472,c_293]) ).
tcf(c_265269,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_232472,c_8246]) ).
tcf(c_265270,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_232472,c_8233]) ).
tcf(c_265281,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_265270,c_170458,c_8255]) ).
tcf(c_265284,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_265269,c_173701]) ).
tcf(c_265293,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_232473,c_1176]) ).
tcf(c_265294,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_232473,c_151]) ).
tcf(c_265295,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232473,c_60]) ).
tcf(c_265297,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_232473,c_293]) ).
tcf(c_265298,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_232473,c_8246]) ).
tcf(c_265299,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_232473,c_8233]) ).
tcf(c_265310,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_265299,c_170458,c_8255]) ).
tcf(c_265313,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_265298,c_173701]) ).
tcf(c_265322,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_232483,c_1176]) ).
tcf(c_265323,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_232483,c_151]) ).
tcf(c_265324,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232483,c_60]) ).
tcf(c_265326,plain,
( m1_subset_1(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_232483,c_293]) ).
tcf(c_265327,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_232483,c_8246]) ).
tcf(c_265328,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_232483,c_8233]) ).
tcf(c_265339,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_265328,c_170458,c_8255]) ).
tcf(c_265342,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_265327,c_173701]) ).
tcf(c_265367,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_232485,c_1176]) ).
tcf(c_265368,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_232485,c_151]) ).
tcf(c_265369,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232485,c_60]) ).
tcf(c_265371,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_232485,c_293]) ).
tcf(c_265372,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_232485,c_8246]) ).
tcf(c_265373,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_232485,c_8233]) ).
tcf(c_265384,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_265373,c_174072]) ).
tcf(c_265585,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_170634,c_249395]) ).
tcf(c_265622,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_265585,c_1176]) ).
tcf(c_265623,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_265585,c_151]) ).
tcf(c_265624,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_265585,c_60]) ).
tcf(c_265626,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_265585,c_293]) ).
tcf(c_265627,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_265585,c_8246]) ).
tcf(c_265628,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_265585,c_8233]) ).
tcf(c_265647,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_265628,c_174072]) ).
tcf(c_265690,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_265626,c_170212]) ).
tcf(c_265691,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_265626,c_169784]) ).
tcf(c_265692,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_265626,c_169475]) ).
tcf(c_265693,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_265626,c_167838]) ).
tcf(c_265730,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_265622,c_300]) ).
tcf(c_265731,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_265622,c_157]) ).
tcf(c_265732,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_265622,c_154]) ).
tcf(c_265733,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_265622,c_153]) ).
tcf(c_265734,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_265622,c_156]) ).
tcf(c_265735,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_265622,c_6730]) ).
tcf(c_265736,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_265622,c_170220]) ).
tcf(c_265737,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_265622,c_169792]) ).
tcf(c_265738,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_265622,c_168447]) ).
tcf(c_265739,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_265622,c_169483]) ).
tcf(c_265740,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_265622,c_170130]) ).
tcf(c_265741,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_265622,c_167885]) ).
tcf(c_265742,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_265622,c_170212]) ).
tcf(c_265743,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_265622,c_169784]) ).
tcf(c_265744,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_265622,c_169475]) ).
tcf(c_265745,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_265622,c_167838]) ).
tcf(c_265746,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_265622,c_169848]) ).
tcf(c_265747,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_265622,c_169546]) ).
tcf(c_265748,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_265622,c_168446]) ).
tcf(c_265749,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_265622,c_170125]) ).
tcf(c_265750,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_265622,c_169840]) ).
tcf(c_265751,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_265622,c_169538]) ).
tcf(c_265957,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_265623,c_1176]) ).
tcf(c_265958,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_265623,c_151]) ).
tcf(c_265959,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_265623,c_60]) ).
tcf(c_265962,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_265623,c_8246]) ).
tcf(c_265963,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_265623,c_8233]) ).
tcf(c_265964,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_265623,c_8245]) ).
tcf(c_265965,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_265623,c_8232]) ).
tcf(c_265966,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_265623,c_168239]) ).
tcf(c_265967,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_265623,c_168240]) ).
tcf(c_265968,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_265623,c_168265]) ).
tcf(c_265969,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_265623,c_203101]) ).
tcf(c_265970,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_265623,c_203239]) ).
tcf(c_265971,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_265623,c_169314]) ).
tcf(c_265973,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_265623,c_181445]) ).
tcf(c_265974,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_265623,c_181361]) ).
tcf(c_265975,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_265623,c_172930]) ).
tcf(c_265976,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_265623,c_179238]) ).
tcf(c_265977,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_265623,c_179337]) ).
tcf(c_265978,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_265623,c_180060]) ).
tcf(c_265979,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_265623,c_180140]) ).
tcf(c_265980,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_265623,c_180237]) ).
tcf(c_265981,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_265623,c_180305]) ).
tcf(c_265982,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_265623,c_180432]) ).
tcf(c_265983,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_265623,c_180667]) ).
tcf(c_265985,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_265623,c_181219]) ).
tcf(c_265989,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_265623,c_196494]) ).
tcf(c_265990,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_265623,c_184726]) ).
tcf(c_265991,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_265623,c_185041]) ).
tcf(c_265992,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_265623,c_185126]) ).
tcf(c_265993,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_265623,c_185210]) ).
tcf(c_265994,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_265623,c_187660]) ).
tcf(c_265995,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_265623,c_189275]) ).
tcf(c_265996,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_265623,c_191571]) ).
tcf(c_265997,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_265623,c_191768]) ).
tcf(c_265998,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_265623,c_198682]) ).
tcf(c_265999,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_265623,c_204502]) ).
tcf(c_266000,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_265623,c_209570]) ).
tcf(c_266001,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_265623,c_207473]) ).
tcf(c_266400,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_250534,c_298]) ).
tcf(c_266440,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_265268,c_169840]) ).
tcf(c_266441,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_265268,c_169538]) ).
tcf(c_266451,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_265297,c_169840]) ).
tcf(c_266452,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_265297,c_169538]) ).
tcf(c_266462,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_265326,c_169840]) ).
tcf(c_266463,plain,
( ( k1_struct_0(sK3,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_265326,c_169538]) ).
tcf(c_266473,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_265371,c_170212]) ).
tcf(c_266474,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_265371,c_169784]) ).
tcf(c_266475,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_265371,c_169475]) ).
tcf(c_266476,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_265371,c_167838]) ).
tcf(c_266514,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_232486,c_1176]) ).
tcf(c_266515,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_232486,c_151]) ).
tcf(c_266516,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232486,c_60]) ).
tcf(c_266518,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_232486,c_293]) ).
tcf(c_266519,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_232486,c_8246]) ).
tcf(c_266520,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_232486,c_8233]) ).
tcf(c_266531,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_266520,c_174072]) ).
tcf(c_266544,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_232487,c_1176]) ).
tcf(c_266545,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_232487,c_151]) ).
tcf(c_266546,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232487,c_60]) ).
tcf(c_266548,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_232487,c_293]) ).
tcf(c_266549,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_232487,c_8246]) ).
tcf(c_266550,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_232487,c_8233]) ).
tcf(c_266561,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_266550,c_174072]) ).
tcf(c_266580,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_232488,c_1176]) ).
tcf(c_266581,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_232488,c_151]) ).
tcf(c_266582,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232488,c_60]) ).
tcf(c_266584,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_232488,c_293]) ).
tcf(c_266585,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_232488,c_8246]) ).
tcf(c_266586,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_232488,c_8233]) ).
tcf(c_266597,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_266586,c_174072]) ).
tcf(c_266635,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_232490,c_1176]) ).
tcf(c_266636,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_232490,c_151]) ).
tcf(c_266637,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232490,c_60]) ).
tcf(c_266639,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_232490,c_293]) ).
tcf(c_266640,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_232490,c_8246]) ).
tcf(c_266641,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_232490,c_8233]) ).
tcf(c_266652,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_266641,c_174072]) ).
tcf(c_266692,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_250598,c_298]) ).
tcf(c_266709,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_250679,c_298]) ).
tcf(c_266726,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_250789,c_298]) ).
tcf(c_266740,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_8225,c_225470]) ).
tcf(c_266741,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_176042,c_225470]) ).
tcf(c_266742,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_169791,c_225470]) ).
tcf(c_266743,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_198853,c_225470]) ).
tcf(c_266744,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_204737,c_225470]) ).
tcf(c_266745,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_266740,c_8223]) ).
tcf(c_266746,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_266741,c_176041]) ).
tcf(c_266747,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_266742,c_170219]) ).
tcf(c_266748,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_266743,c_198856]) ).
tcf(c_266749,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_266744,c_204740]) ).
tcf(c_266798,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_266518,c_170212]) ).
tcf(c_266799,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_266518,c_169784]) ).
tcf(c_266800,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_266518,c_169475]) ).
tcf(c_266801,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_266518,c_167838]) ).
tcf(c_266841,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_266548,c_170212]) ).
tcf(c_266842,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_266548,c_169784]) ).
tcf(c_266843,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_266548,c_169475]) ).
tcf(c_266844,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_266548,c_167838]) ).
tcf(c_266859,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_266584,c_170212]) ).
tcf(c_266860,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_266584,c_169784]) ).
tcf(c_266861,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_266584,c_169475]) ).
tcf(c_266862,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_266584,c_167838]) ).
tcf(c_266877,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_266639,c_170212]) ).
tcf(c_266878,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_266639,c_169784]) ).
tcf(c_266879,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_266639,c_169475]) ).
tcf(c_266880,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_266639,c_167838]) ).
tcf(c_266982,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_232500,c_1176]) ).
tcf(c_266983,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_232500,c_151]) ).
tcf(c_266984,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232500,c_60]) ).
tcf(c_266986,plain,
( m1_subset_1(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_232500,c_293]) ).
tcf(c_266987,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_232500,c_8246]) ).
tcf(c_266988,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_232500,c_8233]) ).
tcf(c_267109,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_232503,c_1176]) ).
tcf(c_267110,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_232503,c_151]) ).
tcf(c_267111,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK19(sK3)) ),
inference(superposition,[status(thm)],[c_232503,c_60]) ).
tcf(c_267113,plain,
( m1_subset_1(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_232503,c_293]) ).
tcf(c_267114,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_232503,c_8246]) ).
tcf(c_267115,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_232503,c_8233]) ).
tcf(c_267126,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_267115,c_174072]) ).
tcf(c_267139,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_233528,c_1176]) ).
tcf(c_267140,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_233528,c_151]) ).
tcf(c_267141,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233528,c_60]) ).
tcf(c_267143,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_233528,c_293]) ).
tcf(c_267144,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_233528,c_8246]) ).
tcf(c_267145,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_233528,c_8233]) ).
tcf(c_267156,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_267145,c_170458,c_8255]) ).
tcf(c_267159,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_267144,c_173701]) ).
tcf(c_267189,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_233529,c_1176]) ).
tcf(c_267190,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_233529,c_151]) ).
tcf(c_267191,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233529,c_60]) ).
tcf(c_267193,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_233529,c_293]) ).
tcf(c_267194,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_233529,c_8246]) ).
tcf(c_267195,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_233529,c_8233]) ).
tcf(c_267206,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_267195,c_170458,c_8255]) ).
tcf(c_267209,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_267194,c_173701]) ).
tcf(c_267354,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_267113,c_170212]) ).
tcf(c_267355,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_267113,c_169784]) ).
tcf(c_267356,plain,
( ( k1_struct_0(sK2,sK19(sK3)) = k1_tarski(sK19(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_267113,c_169475]) ).
tcf(c_267357,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_267113,c_167838]) ).
tcf(c_267407,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_267143,c_169840]) ).
tcf(c_267408,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_267143,c_169538]) ).
tcf(c_267418,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_267193,c_169840]) ).
tcf(c_267419,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_267193,c_169538]) ).
tcf(c_267429,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_233530,c_1176]) ).
tcf(c_267430,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_233530,c_151]) ).
tcf(c_267431,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233530,c_60]) ).
tcf(c_267433,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_233530,c_293]) ).
tcf(c_267434,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_233530,c_8246]) ).
tcf(c_267435,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_233530,c_8233]) ).
tcf(c_267446,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_267435,c_170458,c_8255]) ).
tcf(c_267449,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_267434,c_173701]) ).
tcf(c_267506,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_233540,c_1176]) ).
tcf(c_267507,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_233540,c_151]) ).
tcf(c_267508,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233540,c_60]) ).
tcf(c_267510,plain,
( m1_subset_1(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_233540,c_293]) ).
tcf(c_267511,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_233540,c_8246]) ).
tcf(c_267512,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_233540,c_8233]) ).
tcf(c_267523,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_267512,c_170458,c_8255]) ).
tcf(c_267526,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_267511,c_173701]) ).
tcf(c_267672,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_233542,c_1176]) ).
tcf(c_267673,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_233542,c_151]) ).
tcf(c_267674,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233542,c_60]) ).
tcf(c_267676,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_233542,c_293]) ).
tcf(c_267677,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_233542,c_8246]) ).
tcf(c_267678,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_233542,c_8233]) ).
tcf(c_267689,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_267678,c_174072]) ).
tcf(c_267717,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_233543,c_1176]) ).
tcf(c_267718,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_233543,c_151]) ).
tcf(c_267719,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233543,c_60]) ).
tcf(c_267721,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_233543,c_293]) ).
tcf(c_267722,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_233543,c_8246]) ).
tcf(c_267723,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_233543,c_8233]) ).
tcf(c_267734,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_267723,c_174072]) ).
tcf(c_267755,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_187105,c_111965]) ).
tcf(c_267792,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_190770,c_112212]) ).
tcf(c_267802,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_190974,c_112249]) ).
tcf(c_267821,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_267433,c_169840]) ).
tcf(c_267822,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_267433,c_169538]) ).
tcf(c_267832,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_267510,c_169840]) ).
tcf(c_267833,plain,
( ( k1_struct_0(sK3,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_267510,c_169538]) ).
tcf(c_267843,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_267676,c_170212]) ).
tcf(c_267844,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_267676,c_169784]) ).
tcf(c_267845,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_267676,c_169475]) ).
tcf(c_267846,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_267676,c_167838]) ).
tcf(c_267861,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_267721,c_170212]) ).
tcf(c_267862,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_267721,c_169784]) ).
tcf(c_267863,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_267721,c_169475]) ).
tcf(c_267864,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_267721,c_167838]) ).
tcf(c_267906,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_233544,c_1176]) ).
tcf(c_267907,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_233544,c_151]) ).
tcf(c_267908,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233544,c_60]) ).
tcf(c_267910,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_233544,c_293]) ).
tcf(c_267911,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_233544,c_8246]) ).
tcf(c_267912,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_233544,c_8233]) ).
tcf(c_267923,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_267912,c_174072]) ).
tcf(c_267936,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_233545,c_1176]) ).
tcf(c_267937,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_233545,c_151]) ).
tcf(c_267938,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233545,c_60]) ).
tcf(c_267940,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_233545,c_293]) ).
tcf(c_267941,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_233545,c_8246]) ).
tcf(c_267942,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_233545,c_8233]) ).
tcf(c_267953,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_267942,c_174072]) ).
tcf(c_267991,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_233547,c_1176]) ).
tcf(c_267992,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_233547,c_151]) ).
tcf(c_267993,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233547,c_60]) ).
tcf(c_267995,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_233547,c_293]) ).
tcf(c_267996,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_233547,c_8246]) ).
tcf(c_267997,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_233547,c_8233]) ).
tcf(c_268008,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_267997,c_174072]) ).
tcf(c_268021,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_233557,c_1176]) ).
tcf(c_268022,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_233557,c_151]) ).
tcf(c_268023,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233557,c_60]) ).
tcf(c_268025,plain,
( m1_subset_1(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_233557,c_293]) ).
tcf(c_268026,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_233557,c_8246]) ).
tcf(c_268027,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_233557,c_8233]) ).
tcf(c_268065,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_191014,c_112259]) ).
tcf(c_268075,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_191357,c_112731]) ).
tcf(c_268095,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_220117,c_192133]) ).
tcf(c_268126,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_192134,c_298]) ).
tcf(c_268143,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_220117,c_192252]) ).
tcf(c_268161,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_192253,c_298]) ).
tcf(c_268168,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_193214,c_112793]) ).
tcf(c_268188,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_220117,c_193289]) ).
tcf(c_268200,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_216980,c_169420]) ).
tcf(c_268201,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_216980,c_172937]) ).
tcf(c_268202,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_216980,c_191778]) ).
tcf(c_268203,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_216980,c_191581]) ).
tcf(c_268204,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_216980,c_189286]) ).
tcf(c_268205,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_216980,c_187671]) ).
tcf(c_268206,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_216980,c_185220]) ).
tcf(c_268207,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_216980,c_185136]) ).
tcf(c_268208,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_216980,c_185051]) ).
tcf(c_268209,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_216980,c_184736]) ).
tcf(c_268210,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_216980,c_184626]) ).
tcf(c_268211,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_216980,c_184536]) ).
tcf(c_268212,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_216980,c_181546]) ).
tcf(c_268213,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_216980,c_181454]) ).
tcf(c_268214,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_216980,c_181370]) ).
tcf(c_268215,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_216980,c_181228]) ).
tcf(c_268216,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_216980,c_180726]) ).
tcf(c_268217,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_216980,c_180676]) ).
tcf(c_268218,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_216980,c_180441]) ).
tcf(c_268219,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_216980,c_180314]) ).
tcf(c_268220,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_216980,c_180246]) ).
tcf(c_268221,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_216980,c_180149]) ).
tcf(c_268222,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_216980,c_180069]) ).
tcf(c_268223,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_216980,c_179346]) ).
tcf(c_268224,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_216980,c_179247]) ).
tcf(c_268225,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_216980,c_185884]) ).
tcf(c_268226,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_216980,c_176839]) ).
tcf(c_268227,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_216980,c_180601]) ).
tcf(c_268228,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_216980,c_175460]) ).
tcf(c_268229,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_216980,c_175348]) ).
tcf(c_268230,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_216980,c_175075]) ).
tcf(c_268231,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_216980,c_168655]) ).
tcf(c_268232,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_216980,c_174048]) ).
tcf(c_268233,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_216980,c_169395]) ).
tcf(c_268234,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_216980,c_171650]) ).
tcf(c_268235,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_216980,c_170450]) ).
tcf(c_268236,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_216980,c_169322]) ).
tcf(c_268237,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_216980,c_169321]) ).
tcf(c_268238,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_216980,c_169316]) ).
tcf(c_268239,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_216980,c_169062]) ).
tcf(c_268240,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_216980,c_168241]) ).
tcf(c_268241,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_216980,c_168084]) ).
tcf(c_268242,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_216980,c_168060]) ).
tcf(c_268243,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_216980,c_8262]) ).
tcf(c_268244,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_216980,c_196504]) ).
tcf(c_268245,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_216980,c_169423]) ).
tcf(c_268246,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_216980,c_169314]) ).
tcf(c_268623,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_267910,c_170212]) ).
tcf(c_268624,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_267910,c_169784]) ).
tcf(c_268625,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_267910,c_169475]) ).
tcf(c_268626,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_267910,c_167838]) ).
tcf(c_268671,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_267940,c_170212]) ).
tcf(c_268672,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_267940,c_169784]) ).
tcf(c_268673,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_267940,c_169475]) ).
tcf(c_268674,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_267940,c_167838]) ).
tcf(c_268689,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_267995,c_170212]) ).
tcf(c_268690,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_267995,c_169784]) ).
tcf(c_268691,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_267995,c_169475]) ).
tcf(c_268692,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_267995,c_167838]) ).
tcf(c_268748,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_233560,c_1176]) ).
tcf(c_268749,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_233560,c_151]) ).
tcf(c_268750,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK25(sK3)) ),
inference(superposition,[status(thm)],[c_233560,c_60]) ).
tcf(c_268752,plain,
( m1_subset_1(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_233560,c_293]) ).
tcf(c_268753,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_233560,c_8246]) ).
tcf(c_268754,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_233560,c_8233]) ).
tcf(c_268765,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_268754,c_174072]) ).
tcf(c_268838,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_234538,c_1177]) ).
tcf(c_268839,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_234538,c_1176]) ).
tcf(c_268840,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_234538,c_151]) ).
tcf(c_268841,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234538,c_60]) ).
tcf(c_268843,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_234538,c_293]) ).
tcf(c_268844,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_234538,c_8246]) ).
tcf(c_268845,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_234538,c_8233]) ).
tcf(c_268859,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_268845,c_170458,c_8255]) ).
tcf(c_268862,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_268844,c_173701]) ).
tcf(c_268890,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_234539,c_1177]) ).
tcf(c_268891,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_234539,c_1176]) ).
tcf(c_268892,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_234539,c_151]) ).
tcf(c_268893,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234539,c_60]) ).
tcf(c_268895,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_234539,c_293]) ).
tcf(c_268896,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_234539,c_8246]) ).
tcf(c_268897,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_234539,c_8233]) ).
tcf(c_268911,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_268897,c_170458,c_8255]) ).
tcf(c_268914,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_268896,c_173701]) ).
tcf(c_268954,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_234540,c_1177]) ).
tcf(c_268955,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_234540,c_1176]) ).
tcf(c_268956,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_234540,c_151]) ).
tcf(c_268957,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234540,c_60]) ).
tcf(c_268959,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_234540,c_293]) ).
tcf(c_268960,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_234540,c_8246]) ).
tcf(c_268961,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_234540,c_8233]) ).
tcf(c_268975,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_268961,c_170458,c_8255]) ).
tcf(c_268978,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_268960,c_173701]) ).
tcf(c_269009,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_268243,c_108005]) ).
tcf(c_269015,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_269009,c_1177]) ).
tcf(c_269016,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_269009,c_1176]) ).
tcf(c_269017,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_269009,c_151]) ).
tcf(c_269018,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_269009,c_60]) ).
tcf(c_269019,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_269009,c_304]) ).
tcf(c_269020,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_269009,c_293]) ).
tcf(c_269021,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_269009,c_8246]) ).
tcf(c_269022,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_269009,c_8233]) ).
tcf(c_269124,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_168266,c_269015]) ).
tcf(c_269127,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_170634,c_269015]) ).
tcf(c_269128,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_170628,c_269015]) ).
tcf(c_269243,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_175338,c_269016]) ).
tcf(c_269244,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_170634,c_269016]) ).
tcf(c_269245,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_170628,c_269016]) ).
tcf(c_269267,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_175338,c_269017]) ).
tcf(c_269268,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_170634,c_269017]) ).
tcf(c_269269,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_170628,c_269017]) ).
tcf(c_269293,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_216983,c_169420]) ).
tcf(c_269294,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_216983,c_172937]) ).
tcf(c_269295,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_216983,c_191778]) ).
tcf(c_269296,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_216983,c_191581]) ).
tcf(c_269297,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_216983,c_189286]) ).
tcf(c_269298,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_216983,c_187671]) ).
tcf(c_269299,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_216983,c_185220]) ).
tcf(c_269300,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_216983,c_185136]) ).
tcf(c_269301,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_216983,c_185051]) ).
tcf(c_269302,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_216983,c_184736]) ).
tcf(c_269303,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_216983,c_184626]) ).
tcf(c_269304,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_216983,c_184536]) ).
tcf(c_269305,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_216983,c_181546]) ).
tcf(c_269306,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_216983,c_181454]) ).
tcf(c_269307,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_216983,c_181370]) ).
tcf(c_269308,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_216983,c_181228]) ).
tcf(c_269309,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_216983,c_180726]) ).
tcf(c_269310,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_216983,c_180676]) ).
tcf(c_269311,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_216983,c_180441]) ).
tcf(c_269312,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_216983,c_180314]) ).
tcf(c_269313,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_216983,c_180246]) ).
tcf(c_269314,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_216983,c_180149]) ).
tcf(c_269315,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_216983,c_180069]) ).
tcf(c_269316,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_216983,c_179346]) ).
tcf(c_269317,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_216983,c_179247]) ).
tcf(c_269318,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_216983,c_185884]) ).
tcf(c_269319,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_216983,c_176839]) ).
tcf(c_269320,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_216983,c_180601]) ).
tcf(c_269321,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_216983,c_175460]) ).
tcf(c_269322,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_216983,c_175348]) ).
tcf(c_269323,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_216983,c_175075]) ).
tcf(c_269324,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_216983,c_168655]) ).
tcf(c_269325,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_216983,c_174048]) ).
tcf(c_269326,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_216983,c_169395]) ).
tcf(c_269327,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_216983,c_171650]) ).
tcf(c_269328,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_216983,c_170450]) ).
tcf(c_269329,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_216983,c_169322]) ).
tcf(c_269330,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_216983,c_169321]) ).
tcf(c_269331,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_216983,c_169316]) ).
tcf(c_269332,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_216983,c_169062]) ).
tcf(c_269333,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_216983,c_168241]) ).
tcf(c_269334,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_216983,c_168084]) ).
tcf(c_269335,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_216983,c_168060]) ).
tcf(c_269336,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_216983,c_8262]) ).
tcf(c_269337,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_216983,c_196504]) ).
tcf(c_269338,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_216983,c_169423]) ).
tcf(c_269339,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_216983,c_169314]) ).
tcf(c_269678,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_268752,c_170212]) ).
tcf(c_269679,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_268752,c_169784]) ).
tcf(c_269680,plain,
( ( k1_struct_0(sK2,sK25(sK3)) = k1_tarski(sK25(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_268752,c_169475]) ).
tcf(c_269681,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_268752,c_167838]) ).
tcf(c_269711,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_268843,c_169840]) ).
tcf(c_269712,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_268843,c_169538]) ).
tcf(c_269734,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_268895,c_169840]) ).
tcf(c_269735,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_268895,c_169538]) ).
tcf(c_269745,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_268959,c_169840]) ).
tcf(c_269746,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_268959,c_169538]) ).
tcf(c_269755,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_234550,c_1177]) ).
tcf(c_269756,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_234550,c_1176]) ).
tcf(c_269757,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_234550,c_151]) ).
tcf(c_269758,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234550,c_60]) ).
tcf(c_269760,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_234550,c_293]) ).
tcf(c_269761,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_234550,c_8246]) ).
tcf(c_269762,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_234550,c_8233]) ).
tcf(c_269776,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_269762,c_170458,c_8255]) ).
tcf(c_269779,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_269761,c_173701]) ).
tcf(c_269896,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_234552,c_1177]) ).
tcf(c_269897,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_234552,c_1176]) ).
tcf(c_269898,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_234552,c_151]) ).
tcf(c_269899,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234552,c_60]) ).
tcf(c_269901,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_234552,c_293]) ).
tcf(c_269902,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_234552,c_8246]) ).
tcf(c_269903,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_234552,c_8233]) ).
tcf(c_269917,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_269903,c_174072]) ).
tcf(c_269943,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_234553,c_1177]) ).
tcf(c_269944,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_234553,c_1176]) ).
tcf(c_269945,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_234553,c_151]) ).
tcf(c_269946,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234553,c_60]) ).
tcf(c_269948,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_234553,c_293]) ).
tcf(c_269949,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_234553,c_8246]) ).
tcf(c_269950,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_234553,c_8233]) ).
tcf(c_269964,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_269950,c_174072]) ).
tcf(c_269976,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_234554,c_1177]) ).
tcf(c_269977,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_234554,c_1176]) ).
tcf(c_269978,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_234554,c_151]) ).
tcf(c_269979,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234554,c_60]) ).
tcf(c_269981,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_234554,c_293]) ).
tcf(c_269982,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_234554,c_8246]) ).
tcf(c_269983,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_234554,c_8233]) ).
tcf(c_269997,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_269983,c_174072]) ).
tcf(c_270019,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_269336,c_109049]) ).
tcf(c_270025,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_270019,c_1177]) ).
tcf(c_270026,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_270019,c_1176]) ).
tcf(c_270027,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_270019,c_151]) ).
tcf(c_270028,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_270019,c_60]) ).
tcf(c_270029,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_270019,c_304]) ).
tcf(c_270030,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_270019,c_293]) ).
tcf(c_270031,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_270019,c_8246]) ).
tcf(c_270032,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_270019,c_8233]) ).
tcf(c_270173,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_168266,c_270025]) ).
tcf(c_270176,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_170634,c_270025]) ).
tcf(c_270177,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_170628,c_270025]) ).
tcf(c_270208,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_175338,c_270026]) ).
tcf(c_270209,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_170634,c_270026]) ).
tcf(c_270210,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_170628,c_270026]) ).
tcf(c_270232,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_175338,c_270027]) ).
tcf(c_270233,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_170634,c_270027]) ).
tcf(c_270234,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_170628,c_270027]) ).
tcf(c_270254,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_216986,c_169420]) ).
tcf(c_270255,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_216986,c_172937]) ).
tcf(c_270256,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_216986,c_191778]) ).
tcf(c_270257,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_216986,c_191581]) ).
tcf(c_270258,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_216986,c_189286]) ).
tcf(c_270259,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_216986,c_187671]) ).
tcf(c_270260,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_216986,c_185220]) ).
tcf(c_270261,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_216986,c_185136]) ).
tcf(c_270262,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_216986,c_185051]) ).
tcf(c_270263,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_216986,c_184736]) ).
tcf(c_270264,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_216986,c_184626]) ).
tcf(c_270265,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_216986,c_184536]) ).
tcf(c_270266,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_216986,c_181546]) ).
tcf(c_270267,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_216986,c_181454]) ).
tcf(c_270268,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_216986,c_181370]) ).
tcf(c_270269,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_216986,c_181228]) ).
tcf(c_270270,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_216986,c_180726]) ).
tcf(c_270271,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_216986,c_180676]) ).
tcf(c_270272,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_216986,c_180441]) ).
tcf(c_270273,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_216986,c_180314]) ).
tcf(c_270274,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_216986,c_180246]) ).
tcf(c_270275,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_216986,c_180149]) ).
tcf(c_270276,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_216986,c_180069]) ).
tcf(c_270277,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_216986,c_179346]) ).
tcf(c_270278,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_216986,c_179247]) ).
tcf(c_270279,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_216986,c_185884]) ).
tcf(c_270280,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_216986,c_176839]) ).
tcf(c_270281,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_216986,c_180601]) ).
tcf(c_270282,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_216986,c_175460]) ).
tcf(c_270283,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_216986,c_175348]) ).
tcf(c_270284,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_216986,c_175075]) ).
tcf(c_270285,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_216986,c_168655]) ).
tcf(c_270286,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_216986,c_174048]) ).
tcf(c_270287,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_216986,c_169395]) ).
tcf(c_270288,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_216986,c_171650]) ).
tcf(c_270289,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_216986,c_170450]) ).
tcf(c_270290,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_216986,c_169322]) ).
tcf(c_270291,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_216986,c_169321]) ).
tcf(c_270292,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_216986,c_169316]) ).
tcf(c_270293,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_216986,c_169062]) ).
tcf(c_270294,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_216986,c_168241]) ).
tcf(c_270295,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_216986,c_168084]) ).
tcf(c_270296,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_216986,c_168060]) ).
tcf(c_270297,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_216986,c_8262]) ).
tcf(c_270298,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_216986,c_196504]) ).
tcf(c_270299,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_216986,c_169423]) ).
tcf(c_270300,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_216986,c_169314]) ).
tcf(c_270922,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_269760,c_169840]) ).
tcf(c_270923,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_269760,c_169538]) ).
tcf(c_270933,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_269901,c_170212]) ).
tcf(c_270934,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_269901,c_169784]) ).
tcf(c_270935,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_269901,c_169475]) ).
tcf(c_270936,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_269901,c_167838]) ).
tcf(c_271005,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_269948,c_170212]) ).
tcf(c_271006,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_269948,c_169784]) ).
tcf(c_271007,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_269948,c_169475]) ).
tcf(c_271008,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_269948,c_167838]) ).
tcf(c_271037,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_269981,c_170212]) ).
tcf(c_271038,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_269981,c_169784]) ).
tcf(c_271039,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_269981,c_169475]) ).
tcf(c_271040,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_269981,c_167838]) ).
tcf(c_271068,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_234555,c_1177]) ).
tcf(c_271069,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_234555,c_1176]) ).
tcf(c_271070,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_234555,c_151]) ).
tcf(c_271071,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234555,c_60]) ).
tcf(c_271073,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_234555,c_293]) ).
tcf(c_271074,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_234555,c_8246]) ).
tcf(c_271075,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_234555,c_8233]) ).
tcf(c_271089,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_271075,c_174072]) ).
tcf(c_271101,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_234557,c_1177]) ).
tcf(c_271102,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_234557,c_1176]) ).
tcf(c_271103,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_234557,c_151]) ).
tcf(c_271104,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234557,c_60]) ).
tcf(c_271106,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_234557,c_293]) ).
tcf(c_271107,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_234557,c_8246]) ).
tcf(c_271108,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_234557,c_8233]) ).
tcf(c_271122,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_271108,c_174072]) ).
tcf(c_271148,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_29,sK4)
| ~ r1_tarski(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_234567,c_1177]) ).
tcf(c_271149,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_234567,c_1176]) ).
tcf(c_271150,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_234567,c_151]) ).
tcf(c_271151,plain,
( ~ r1_tarski(iPr_def_29,sK4)
| ~ r2_hidden(iPr_def_28,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234567,c_60]) ).
tcf(c_271153,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_234567,c_293]) ).
tcf(c_271154,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_234567,c_8246]) ).
tcf(c_271155,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_234567,c_8233]) ).
tcf(c_271200,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_234570,c_1177]) ).
tcf(c_271201,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_234570,c_1176]) ).
tcf(c_271202,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_234570,c_151]) ).
tcf(c_271203,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_234570,c_60]) ).
tcf(c_271205,plain,
( m1_subset_1(sK16(iPr_def_28),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_234570,c_293]) ).
tcf(c_271206,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_234570,c_8246]) ).
tcf(c_271207,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_234570,c_8233]) ).
tcf(c_271221,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_271207,c_174072]) ).
tcf(c_271229,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_270297,c_109873]) ).
tcf(c_271235,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_271229,c_1177]) ).
tcf(c_271236,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_271229,c_1176]) ).
tcf(c_271237,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_271229,c_151]) ).
tcf(c_271238,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_271229,c_60]) ).
tcf(c_271239,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_271229,c_304]) ).
tcf(c_271240,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_271229,c_293]) ).
tcf(c_271241,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_271229,c_8246]) ).
tcf(c_271242,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_271229,c_8233]) ).
tcf(c_271307,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_168266,c_271235]) ).
tcf(c_271310,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_170634,c_271235]) ).
tcf(c_271311,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_170628,c_271235]) ).
tcf(c_271342,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_175338,c_271236]) ).
tcf(c_271343,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_170634,c_271236]) ).
tcf(c_271344,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_170628,c_271236]) ).
tcf(c_271366,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_175338,c_271237]) ).
tcf(c_271367,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_170634,c_271237]) ).
tcf(c_271368,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_170628,c_271237]) ).
tcf(c_271415,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_271073,c_170212]) ).
tcf(c_271416,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_271073,c_169784]) ).
tcf(c_271417,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_271073,c_169475]) ).
tcf(c_271418,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_271073,c_167838]) ).
tcf(c_271433,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_271106,c_170212]) ).
tcf(c_271434,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_271106,c_169784]) ).
tcf(c_271435,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_271106,c_169475]) ).
tcf(c_271436,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_271106,c_167838]) ).
tcf(c_271456,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_271205,c_170212]) ).
tcf(c_271457,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_271205,c_169784]) ).
tcf(c_271458,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_271205,c_169475]) ).
tcf(c_271459,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_271205,c_167838]) ).
tcf(c_271485,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_236045,c_1176]) ).
tcf(c_271486,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_236045,c_151]) ).
tcf(c_271487,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236045,c_60]) ).
tcf(c_271489,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_236045,c_293]) ).
tcf(c_271490,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_236045,c_8246]) ).
tcf(c_271491,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_236045,c_8233]) ).
tcf(c_271502,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_271491,c_170458,c_8255]) ).
tcf(c_271505,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_271490,c_173701]) ).
tcf(c_271520,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_236046,c_1176]) ).
tcf(c_271521,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_236046,c_151]) ).
tcf(c_271522,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236046,c_60]) ).
tcf(c_271524,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_236046,c_293]) ).
tcf(c_271525,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_236046,c_8246]) ).
tcf(c_271526,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_236046,c_8233]) ).
tcf(c_271537,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_271526,c_170458,c_8255]) ).
tcf(c_271540,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_271525,c_173701]) ).
tcf(c_271580,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_236047,c_1176]) ).
tcf(c_271581,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_236047,c_151]) ).
tcf(c_271582,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236047,c_60]) ).
tcf(c_271584,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_236047,c_293]) ).
tcf(c_271585,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_236047,c_8246]) ).
tcf(c_271586,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_236047,c_8233]) ).
tcf(c_271597,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_271586,c_170458,c_8255]) ).
tcf(c_271600,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_271585,c_173701]) ).
tcf(c_271616,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_236057,c_1176]) ).
tcf(c_271617,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_236057,c_151]) ).
tcf(c_271618,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236057,c_60]) ).
tcf(c_271620,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_236057,c_293]) ).
tcf(c_271621,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_236057,c_8246]) ).
tcf(c_271622,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_236057,c_8233]) ).
tcf(c_271633,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_271622,c_170458,c_8255]) ).
tcf(c_271636,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_271621,c_173701]) ).
tcf(c_271689,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_220117,c_269127]) ).
tcf(c_271705,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_220117,c_270176]) ).
tcf(c_271722,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_271489,c_169840]) ).
tcf(c_271723,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_271489,c_169538]) ).
tcf(c_271733,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_271524,c_169840]) ).
tcf(c_271734,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_271524,c_169538]) ).
tcf(c_271768,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_271584,c_169840]) ).
tcf(c_271769,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_271584,c_169538]) ).
tcf(c_271785,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_271620,c_169840]) ).
tcf(c_271786,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_271620,c_169538]) ).
tcf(c_271796,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_236059,c_1176]) ).
tcf(c_271797,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_236059,c_151]) ).
tcf(c_271798,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236059,c_60]) ).
tcf(c_271800,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_236059,c_293]) ).
tcf(c_271801,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_236059,c_8246]) ).
tcf(c_271802,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_236059,c_8233]) ).
tcf(c_271813,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_271802,c_174072]) ).
tcf(c_271841,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_236060,c_1176]) ).
tcf(c_271842,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_236060,c_151]) ).
tcf(c_271843,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236060,c_60]) ).
tcf(c_271845,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_236060,c_293]) ).
tcf(c_271846,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_236060,c_8246]) ).
tcf(c_271847,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_236060,c_8233]) ).
tcf(c_271858,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_271847,c_174072]) ).
tcf(c_271894,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_236062,c_1176]) ).
tcf(c_271895,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_236062,c_151]) ).
tcf(c_271896,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236062,c_60]) ).
tcf(c_271898,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_236062,c_293]) ).
tcf(c_271899,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_236062,c_8246]) ).
tcf(c_271900,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_236062,c_8233]) ).
tcf(c_271911,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_271900,c_174072]) ).
tcf(c_271955,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_236064,c_1176]) ).
tcf(c_271956,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_236064,c_151]) ).
tcf(c_271957,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236064,c_60]) ).
tcf(c_271959,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_236064,c_293]) ).
tcf(c_271960,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_236064,c_8246]) ).
tcf(c_271961,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_236064,c_8233]) ).
tcf(c_271972,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_271961,c_174072]) ).
tcf(c_272086,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_220117,c_271310]) ).
tcf(c_272102,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_269244,c_298]) ).
tcf(c_272119,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_269268,c_1177]) ).
tcf(c_272120,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_269268,c_1176]) ).
tcf(c_272121,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_269268,c_151]) ).
tcf(c_272122,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_269268,c_60]) ).
tcf(c_272125,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_269268,c_8246]) ).
tcf(c_272126,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_269268,c_8233]) ).
tcf(c_272174,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_270209,c_298]) ).
tcf(c_272191,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_270233,c_1177]) ).
tcf(c_272192,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_270233,c_1176]) ).
tcf(c_272193,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_270233,c_151]) ).
tcf(c_272194,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_270233,c_60]) ).
tcf(c_272197,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_270233,c_8246]) ).
tcf(c_272198,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_270233,c_8233]) ).
tcf(c_272246,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_271343,c_298]) ).
tcf(c_272263,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_271367,c_1177]) ).
tcf(c_272264,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_271367,c_1176]) ).
tcf(c_272265,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_271367,c_151]) ).
tcf(c_272266,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_271367,c_60]) ).
tcf(c_272269,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_271367,c_8246]) ).
tcf(c_272270,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_271367,c_8233]) ).
tcf(c_272316,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_168155,c_269021]) ).
tcf(c_272332,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_271800,c_170212]) ).
tcf(c_272333,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_271800,c_169784]) ).
tcf(c_272334,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_271800,c_169475]) ).
tcf(c_272335,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_271800,c_167838]) ).
tcf(c_272350,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_271845,c_170212]) ).
tcf(c_272351,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_271845,c_169784]) ).
tcf(c_272352,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_271845,c_169475]) ).
tcf(c_272353,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_271845,c_167838]) ).
tcf(c_272368,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_271898,c_170212]) ).
tcf(c_272369,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_271898,c_169784]) ).
tcf(c_272370,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_271898,c_169475]) ).
tcf(c_272371,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_271898,c_167838]) ).
tcf(c_272386,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_271959,c_170212]) ).
tcf(c_272387,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_271959,c_169784]) ).
tcf(c_272388,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_271959,c_169475]) ).
tcf(c_272389,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_271959,c_167838]) ).
tcf(c_272439,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_236074,c_1176]) ).
tcf(c_272440,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_236074,c_151]) ).
tcf(c_272441,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236074,c_60]) ).
tcf(c_272443,plain,
( m1_subset_1(k1_tarski(iPr_def_27),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_236074,c_293]) ).
tcf(c_272444,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_236074,c_8246]) ).
tcf(c_272445,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_236074,c_8233]) ).
tcf(c_272498,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_236077,c_1176]) ).
tcf(c_272499,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_236077,c_151]) ).
tcf(c_272500,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_236077,c_60]) ).
tcf(c_272502,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_236077,c_293]) ).
tcf(c_272503,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_236077,c_8246]) ).
tcf(c_272504,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_236077,c_8233]) ).
tcf(c_272515,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_272504,c_174072]) ).
tcf(c_272528,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_247720,c_1176]) ).
tcf(c_272529,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_247720,c_151]) ).
tcf(c_272530,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247720,c_60]) ).
tcf(c_272532,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_247720,c_293]) ).
tcf(c_272533,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_247720,c_8246]) ).
tcf(c_272534,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_247720,c_8233]) ).
tcf(c_272545,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_272534,c_170458,c_8255]) ).
tcf(c_272548,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_272533,c_173701]) ).
tcf(c_272582,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_247721,c_1176]) ).
tcf(c_272583,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_247721,c_151]) ).
tcf(c_272584,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247721,c_60]) ).
tcf(c_272586,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_247721,c_293]) ).
tcf(c_272587,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_247721,c_8246]) ).
tcf(c_272588,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_247721,c_8233]) ).
tcf(c_272599,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_272588,c_170458,c_8255]) ).
tcf(c_272602,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_272587,c_173701]) ).
tcf(c_272633,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_168171,c_269022]) ).
tcf(c_272656,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_168155,c_270031]) ).
tcf(c_272732,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_168171,c_270032]) ).
tcf(c_272747,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_168155,c_271241]) ).
tcf(c_272760,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_168171,c_271242]) ).
tcf(c_272775,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_193290,c_298]) ).
tcf(c_272796,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_193436,c_298]) ).
tcf(c_272813,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_194397,c_298]) ).
tcf(c_272937,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_272502,c_170212]) ).
tcf(c_272938,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_272502,c_169784]) ).
tcf(c_272939,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_272502,c_169475]) ).
tcf(c_272940,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_272502,c_167838]) ).
tcf(c_272955,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_272532,c_169840]) ).
tcf(c_272956,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_272532,c_169538]) ).
tcf(c_272966,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_272586,c_169840]) ).
tcf(c_272967,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_272586,c_169538]) ).
tcf(c_272977,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_247722,c_1176]) ).
tcf(c_272978,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_247722,c_151]) ).
tcf(c_272979,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247722,c_60]) ).
tcf(c_272981,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_247722,c_293]) ).
tcf(c_272982,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_247722,c_8246]) ).
tcf(c_272983,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_247722,c_8233]) ).
tcf(c_272994,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_272983,c_170458,c_8255]) ).
tcf(c_272997,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_272982,c_173701]) ).
tcf(c_273006,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_247732,c_1176]) ).
tcf(c_273007,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_247732,c_151]) ).
tcf(c_273008,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247732,c_60]) ).
tcf(c_273010,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_247732,c_293]) ).
tcf(c_273011,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_247732,c_8246]) ).
tcf(c_273012,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_247732,c_8233]) ).
tcf(c_273023,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_273012,c_170458,c_8255]) ).
tcf(c_273026,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_273011,c_173701]) ).
tcf(c_273035,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_247734,c_1176]) ).
tcf(c_273036,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_247734,c_151]) ).
tcf(c_273037,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247734,c_60]) ).
tcf(c_273039,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_247734,c_293]) ).
tcf(c_273040,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_247734,c_8246]) ).
tcf(c_273041,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_247734,c_8233]) ).
tcf(c_273052,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_273041,c_174072]) ).
tcf(c_273065,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_247735,c_1176]) ).
tcf(c_273066,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_247735,c_151]) ).
tcf(c_273067,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247735,c_60]) ).
tcf(c_273069,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_247735,c_293]) ).
tcf(c_273070,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_247735,c_8246]) ).
tcf(c_273071,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_247735,c_8233]) ).
tcf(c_273082,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_273071,c_174072]) ).
tcf(c_273100,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_194588,c_298]) ).
tcf(c_273117,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_195096,c_298]) ).
tcf(c_273134,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_195237,c_298]) ).
tcf(c_273299,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_195813,c_298]) ).
tcf(c_273316,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_195989,c_298]) ).
tcf(c_273333,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_196173,c_298]) ).
tcf(c_273434,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_196281,c_298]) ).
tcf(c_273451,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_196437,c_298]) ).
tcf(c_273469,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_272981,c_169840]) ).
tcf(c_273470,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_272981,c_169538]) ).
tcf(c_273480,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_273010,c_169840]) ).
tcf(c_273481,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_273010,c_169538]) ).
tcf(c_273491,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_273039,c_170212]) ).
tcf(c_273492,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_273039,c_169784]) ).
tcf(c_273493,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_273039,c_169475]) ).
tcf(c_273494,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_273039,c_167838]) ).
tcf(c_273539,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_273069,c_170212]) ).
tcf(c_273540,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_273069,c_169784]) ).
tcf(c_273541,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_273069,c_169475]) ).
tcf(c_273542,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_273069,c_167838]) ).
tcf(c_273557,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_247736,c_1176]) ).
tcf(c_273558,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_247736,c_151]) ).
tcf(c_273559,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247736,c_60]) ).
tcf(c_273561,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_247736,c_293]) ).
tcf(c_273562,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_247736,c_8246]) ).
tcf(c_273563,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_247736,c_8233]) ).
tcf(c_273574,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_273563,c_174072]) ).
tcf(c_273655,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_247737,c_1176]) ).
tcf(c_273656,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_247737,c_151]) ).
tcf(c_273657,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247737,c_60]) ).
tcf(c_273659,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_247737,c_293]) ).
tcf(c_273660,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_247737,c_8246]) ).
tcf(c_273661,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_247737,c_8233]) ).
tcf(c_273672,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_273661,c_174072]) ).
tcf(c_273700,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_247739,c_1176]) ).
tcf(c_273701,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_247739,c_151]) ).
tcf(c_273702,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247739,c_60]) ).
tcf(c_273704,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_247739,c_293]) ).
tcf(c_273705,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_247739,c_8246]) ).
tcf(c_273706,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_247739,c_8233]) ).
tcf(c_273717,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_273706,c_174072]) ).
tcf(c_273759,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_247749,c_1176]) ).
tcf(c_273760,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_247749,c_151]) ).
tcf(c_273761,plain,
( ~ r1_tarski(iPr_def_19,sK4)
| ~ r2_hidden(iPr_def_28,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247749,c_60]) ).
tcf(c_273763,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_247749,c_293]) ).
tcf(c_273764,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_247749,c_8246]) ).
tcf(c_273765,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_247749,c_8233]) ).
tcf(c_273796,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_168266,c_197184]) ).
tcf(c_273798,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_170634,c_197184]) ).
tcf(c_273799,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_170628,c_197184]) ).
tcf(c_273800,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_171942,c_197184]) ).
tcf(c_273801,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_175352,c_197184]) ).
tcf(c_273890,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_273798,c_170298,c_170789]) ).
tcf(c_273909,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_273890,c_1177]) ).
tcf(c_273910,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_273890,c_1176]) ).
tcf(c_273911,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_273890,c_151]) ).
tcf(c_273912,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_273890,c_60]) ).
tcf(c_273913,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_273890,c_304]) ).
tcf(c_273914,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_273890,c_293]) ).
tcf(c_273915,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_273890,c_8246]) ).
tcf(c_273916,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_273890,c_8233]) ).
tcf(c_273917,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_273890,c_149]) ).
tcf(c_273918,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_273890,c_168242]) ).
tcf(c_273919,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_273890,c_168243]) ).
tcf(c_274025,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_197451,c_298]) ).
tcf(c_274044,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_168266,c_197567]) ).
tcf(c_274046,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_170634,c_197567]) ).
tcf(c_274047,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_170628,c_197567]) ).
tcf(c_274048,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_171942,c_197567]) ).
tcf(c_274049,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_175352,c_197567]) ).
tcf(c_274091,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_274046,c_170298,c_170789]) ).
tcf(c_274110,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_274091,c_1177]) ).
tcf(c_274111,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_274091,c_1176]) ).
tcf(c_274112,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_274091,c_151]) ).
tcf(c_274113,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_274091,c_60]) ).
tcf(c_274114,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_274091,c_304]) ).
tcf(c_274115,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_274091,c_293]) ).
tcf(c_274116,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_274091,c_8246]) ).
tcf(c_274117,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_274091,c_8233]) ).
tcf(c_274118,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_274091,c_149]) ).
tcf(c_274119,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_274091,c_168242]) ).
tcf(c_274120,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_274091,c_168243]) ).
tcf(c_274217,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_273561,c_170212]) ).
tcf(c_274218,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_273561,c_169784]) ).
tcf(c_274219,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_273561,c_169475]) ).
tcf(c_274220,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_273561,c_167838]) ).
tcf(c_274338,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_273659,c_170212]) ).
tcf(c_274339,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_273659,c_169784]) ).
tcf(c_274340,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_273659,c_169475]) ).
tcf(c_274341,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_273659,c_167838]) ).
tcf(c_274356,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_273704,c_170212]) ).
tcf(c_274357,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_273704,c_169784]) ).
tcf(c_274358,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_273704,c_169475]) ).
tcf(c_274359,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_273704,c_167838]) ).
tcf(c_274403,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_247752,c_1176]) ).
tcf(c_274404,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_247752,c_151]) ).
tcf(c_274405,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_19)) ),
inference(superposition,[status(thm)],[c_247752,c_60]) ).
tcf(c_274407,plain,
( m1_subset_1(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_247752,c_293]) ).
tcf(c_274408,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_247752,c_8246]) ).
tcf(c_274409,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_247752,c_8233]) ).
tcf(c_274420,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_274409,c_174072]) ).
tcf(c_274455,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_248665,c_1176]) ).
tcf(c_274456,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_248665,c_151]) ).
tcf(c_274457,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248665,c_60]) ).
tcf(c_274459,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_248665,c_293]) ).
tcf(c_274460,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_248665,c_8246]) ).
tcf(c_274461,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_248665,c_8233]) ).
tcf(c_274472,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_274461,c_170458,c_8255]) ).
tcf(c_274475,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_274460,c_173701]) ).
tcf(c_274525,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_248666,c_1176]) ).
tcf(c_274526,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_248666,c_151]) ).
tcf(c_274527,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248666,c_60]) ).
tcf(c_274529,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_248666,c_293]) ).
tcf(c_274530,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_248666,c_8246]) ).
tcf(c_274531,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_248666,c_8233]) ).
tcf(c_274542,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_274531,c_170458,c_8255]) ).
tcf(c_274545,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_274530,c_173701]) ).
tcf(c_274554,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_248667,c_1176]) ).
tcf(c_274555,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_248667,c_151]) ).
tcf(c_274556,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248667,c_60]) ).
tcf(c_274558,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_248667,c_293]) ).
tcf(c_274559,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_248667,c_8246]) ).
tcf(c_274560,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_248667,c_8233]) ).
tcf(c_274571,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_274560,c_170458,c_8255]) ).
tcf(c_274574,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_274559,c_173701]) ).
tcf(c_274600,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_168266,c_197637]) ).
tcf(c_274602,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_170634,c_197637]) ).
tcf(c_274603,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_170628,c_197637]) ).
tcf(c_274604,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_171942,c_197637]) ).
tcf(c_274605,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_175352,c_197637]) ).
tcf(c_274666,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_274602,c_170298,c_170789]) ).
tcf(c_274685,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_274666,c_1177]) ).
tcf(c_274686,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_274666,c_1176]) ).
tcf(c_274687,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_274666,c_151]) ).
tcf(c_274688,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_274666,c_60]) ).
tcf(c_274689,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_274666,c_304]) ).
tcf(c_274690,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_274666,c_293]) ).
tcf(c_274691,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_274666,c_8246]) ).
tcf(c_274692,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_274666,c_8233]) ).
tcf(c_274693,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_274666,c_149]) ).
tcf(c_274694,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_274666,c_168242]) ).
tcf(c_274695,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_274666,c_168243]) ).
tcf(c_274836,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_198277,c_298]) ).
tcf(c_274853,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_198400,c_298]) ).
tcf(c_274870,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_198628,c_298]) ).
tcf(c_274899,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_274407,c_170212]) ).
tcf(c_274900,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_274407,c_169784]) ).
tcf(c_274901,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_274407,c_169475]) ).
tcf(c_274902,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_274407,c_167838]) ).
tcf(c_274917,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_274459,c_169840]) ).
tcf(c_274918,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_274459,c_169538]) ).
tcf(c_274928,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_274529,c_169840]) ).
tcf(c_274929,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_274529,c_169538]) ).
tcf(c_274939,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_274558,c_169840]) ).
tcf(c_274940,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_274558,c_169538]) ).
tcf(c_275011,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_248677,c_1176]) ).
tcf(c_275012,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_248677,c_151]) ).
tcf(c_275013,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248677,c_60]) ).
tcf(c_275015,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_248677,c_293]) ).
tcf(c_275016,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_248677,c_8246]) ).
tcf(c_275017,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_248677,c_8233]) ).
tcf(c_275028,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_275017,c_170458,c_8255]) ).
tcf(c_275031,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_275016,c_173701]) ).
tcf(c_275040,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_248679,c_1176]) ).
tcf(c_275041,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_248679,c_151]) ).
tcf(c_275042,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248679,c_60]) ).
tcf(c_275044,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_22) ),
inference(superposition,[status(thm)],[c_248679,c_293]) ).
tcf(c_275045,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_248679,c_8246]) ).
tcf(c_275046,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_248679,c_8233]) ).
tcf(c_275057,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_275046,c_174072]) ).
tcf(c_275175,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_248680,c_1176]) ).
tcf(c_275176,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_248680,c_151]) ).
tcf(c_275177,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248680,c_60]) ).
tcf(c_275179,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_23) ),
inference(superposition,[status(thm)],[c_248680,c_293]) ).
tcf(c_275180,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_248680,c_8246]) ).
tcf(c_275181,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_248680,c_8233]) ).
tcf(c_275192,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_275181,c_174072]) ).
tcf(c_275233,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_248682,c_1176]) ).
tcf(c_275234,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_248682,c_151]) ).
tcf(c_275235,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248682,c_60]) ).
tcf(c_275237,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_248682,c_293]) ).
tcf(c_275238,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_248682,c_8246]) ).
tcf(c_275239,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_248682,c_8233]) ).
tcf(c_275250,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_275239,c_174072]) ).
tcf(c_275270,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_168266,c_205169]) ).
tcf(c_275273,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_170628,c_205169]) ).
tcf(c_275274,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_171942,c_205169]) ).
tcf(c_275275,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_175352,c_205169]) ).
tcf(c_275324,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_168266,c_205170]) ).
tcf(c_275327,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_170628,c_205170]) ).
tcf(c_275328,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_171942,c_205170]) ).
tcf(c_275329,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_175352,c_205170]) ).
tcf(c_275408,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_168266,c_205171]) ).
tcf(c_275411,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_170628,c_205171]) ).
tcf(c_275412,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_171942,c_205171]) ).
tcf(c_275413,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_175352,c_205171]) ).
tcf(c_275501,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_275015,c_169840]) ).
tcf(c_275502,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_275015,c_169538]) ).
tcf(c_275512,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_275044,c_170212]) ).
tcf(c_275513,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_275044,c_169784]) ).
tcf(c_275514,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_275044,c_169475]) ).
tcf(c_275515,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_275044,c_167838]) ).
tcf(c_275530,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_275179,c_170212]) ).
tcf(c_275531,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_275179,c_169784]) ).
tcf(c_275532,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_275179,c_169475]) ).
tcf(c_275533,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_275179,c_167838]) ).
tcf(c_275607,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_275237,c_170212]) ).
tcf(c_275608,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_275237,c_169784]) ).
tcf(c_275609,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_275237,c_169475]) ).
tcf(c_275610,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_275237,c_167838]) ).
tcf(c_275625,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_248684,c_1176]) ).
tcf(c_275626,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_248684,c_151]) ).
tcf(c_275627,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248684,c_60]) ).
tcf(c_275629,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_32) ),
inference(superposition,[status(thm)],[c_248684,c_293]) ).
tcf(c_275630,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_248684,c_8246]) ).
tcf(c_275631,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_248684,c_8233]) ).
tcf(c_275642,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_275631,c_174072]) ).
tcf(c_275655,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_248694,c_1176]) ).
tcf(c_275656,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_248694,c_151]) ).
tcf(c_275657,plain,
( ~ r1_tarski(iPr_def_21,sK4)
| ~ r2_hidden(iPr_def_28,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248694,c_60]) ).
tcf(c_275659,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_28)
| ~ r1_tarski(iPr_def_21,sK4) ),
inference(superposition,[status(thm)],[c_248694,c_293]) ).
tcf(c_275660,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_248694,c_8246]) ).
tcf(c_275661,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_248694,c_8233]) ).
tcf(c_275685,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_248697,c_1176]) ).
tcf(c_275686,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_248697,c_151]) ).
tcf(c_275687,plain,
( ~ r1_tarski(iPr_def_21,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_248697,c_60]) ).
tcf(c_275689,plain,
( m1_subset_1(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_21,iPr_def_31) ),
inference(superposition,[status(thm)],[c_248697,c_293]) ).
tcf(c_275690,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_248697,c_8246]) ).
tcf(c_275691,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_248697,c_8233]) ).
tcf(c_275702,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_275691,c_174072]) ).
tcf(c_275792,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_249367,c_1176]) ).
tcf(c_275793,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_249367,c_151]) ).
tcf(c_275794,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_17)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249367,c_60]) ).
tcf(c_275796,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_17) ),
inference(superposition,[status(thm)],[c_249367,c_293]) ).
tcf(c_275797,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_249367,c_8246]) ).
tcf(c_275798,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_249367,c_8233]) ).
tcf(c_275809,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_275798,c_170458,c_8255]) ).
tcf(c_275812,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_275797,c_173701]) ).
tcf(c_275861,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_8212,c_209889]) ).
tcf(c_275862,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_8214,c_209889]) ).
tcf(c_275863,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_8222,c_209889]) ).
tcf(c_275864,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_209889,c_298]) ).
tcf(c_275865,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_275863,c_8222]) ).
tcf(c_275866,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_275865,c_168556]) ).
tcf(c_275871,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_275862,c_8214]) ).
tcf(c_275873,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_275861,c_8212]) ).
tcf(c_275874,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_275873,c_8229]) ).
tcf(c_275964,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_168266,c_218227]) ).
tcf(c_275966,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_168436,c_218227]) ).
tcf(c_275967,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_168389,c_218227]) ).
tcf(c_275968,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_168397,c_218227]) ).
tcf(c_275969,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_168435,c_218227]) ).
tcf(c_275970,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_168445,c_218227]) ).
tcf(c_275971,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_201107,c_218227]) ).
tcf(c_275972,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_192817,c_218227]) ).
tcf(c_275973,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_186159,c_218227]) ).
tcf(c_275974,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_174623,c_218227]) ).
tcf(c_275975,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_168783,c_218227]) ).
tcf(c_275976,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_201149,c_218227]) ).
tcf(c_275977,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_192970,c_218227]) ).
tcf(c_275978,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_186200,c_218227]) ).
tcf(c_275979,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_174651,c_218227]) ).
tcf(c_275980,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_168960,c_218227]) ).
tcf(c_275981,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_169395,c_218227]) ).
tcf(c_275982,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_201009,c_218227]) ).
tcf(c_275983,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_185810,c_218227]) ).
tcf(c_275984,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_174444,c_218227]) ).
tcf(c_275985,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_169723,c_218227]) ).
tcf(c_275986,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_201035,c_218227]) ).
tcf(c_275987,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_186095,c_218227]) ).
tcf(c_275988,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_174484,c_218227]) ).
tcf(c_275989,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_169942,c_218227]) ).
tcf(c_275990,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_201061,c_218227]) ).
tcf(c_275991,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_186121,c_218227]) ).
tcf(c_275992,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_174571,c_218227]) ).
tcf(c_275993,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_169968,c_218227]) ).
tcf(c_275994,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_168380,c_218227]) ).
tcf(c_275995,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_168375,c_218227]) ).
tcf(c_275996,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_171942,c_218227]) ).
tcf(c_275997,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_168370,c_218227]) ).
tcf(c_275998,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_204223,c_218227]) ).
tcf(c_275999,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_178116,c_218227]) ).
tcf(c_276000,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_194181,c_218227]) ).
tcf(c_276001,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_204357,c_218227]) ).
tcf(c_276002,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_192418,c_218227]) ).
tcf(c_276003,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_192551,c_218227]) ).
tcf(c_276004,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_193509,c_218227]) ).
tcf(c_276005,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_193716,c_218227]) ).
tcf(c_276006,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_194002,c_218227]) ).
tcf(c_276007,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_194654,c_218227]) ).
tcf(c_276008,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_194816,c_218227]) ).
tcf(c_276009,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_198816,c_218227]) ).
tcf(c_276010,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_204699,c_218227]) ).
tcf(c_276011,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_207104,c_218227]) ).
tcf(c_276012,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_8223,c_218227]) ).
tcf(c_276013,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_170219,c_218227]) ).
tcf(c_276014,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_176041,c_218227]) ).
tcf(c_276015,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_198856,c_218227]) ).
tcf(c_276016,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_216986,c_218227]) ).
tcf(c_276017,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_216983,c_218227]) ).
tcf(c_276018,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_216980,c_218227]) ).
tcf(c_276019,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_204740,c_218227]) ).
tcf(c_276024,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_276012,c_8225]) ).
tcf(c_276025,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_276024,c_8253]) ).
tcf(c_276029,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_276014,c_176042]) ).
tcf(c_276030,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_276029,c_176018]) ).
tcf(c_276038,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_276013,c_169791]) ).
tcf(c_276039,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_276038,c_172]) ).
tcf(c_276043,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_276015,c_198853]) ).
tcf(c_276044,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_276043,c_210267]) ).
tcf(c_276095,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_276019,c_204737]) ).
tcf(c_276526,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_224418,c_11643,c_116246,c_170822]) ).
tcf(c_276536,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_168397,c_276526]) ).
tcf(c_276537,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_170634,c_276526]) ).
tcf(c_276538,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_170628,c_276526]) ).
tcf(c_276557,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_168266,c_251190]) ).
tcf(c_276558,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_8223,c_251190]) ).
tcf(c_276559,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_170219,c_251190]) ).
tcf(c_276560,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_176041,c_251190]) ).
tcf(c_276561,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_198856,c_251190]) ).
tcf(c_276562,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_216986,c_251190]) ).
tcf(c_276563,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_216983,c_251190]) ).
tcf(c_276564,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_216980,c_251190]) ).
tcf(c_276565,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_204740,c_251190]) ).
tcf(c_276566,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_276558,c_8225]) ).
tcf(c_276567,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_276566,c_8253]) ).
tcf(c_276570,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_276560,c_176042]) ).
tcf(c_276571,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_276570,c_176018]) ).
tcf(c_276574,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_276559,c_169791]) ).
tcf(c_276575,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_276574,c_172]) ).
tcf(c_276578,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_276561,c_198853]) ).
tcf(c_276579,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_276578,c_210267]) ).
tcf(c_276582,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_276565,c_204737]) ).
tcf(c_276615,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_275629,c_170212]) ).
tcf(c_276616,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_275629,c_169784]) ).
tcf(c_276617,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_275629,c_169475]) ).
tcf(c_276618,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_275629,c_167838]) ).
tcf(c_276692,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_275689,c_170212]) ).
tcf(c_276693,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_275689,c_169784]) ).
tcf(c_276694,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_275689,c_169475]) ).
tcf(c_276695,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_275689,c_167838]) ).
tcf(c_276710,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_275796,c_169840]) ).
tcf(c_276711,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_275796,c_169538]) ).
tcf(c_276753,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_249368,c_1176]) ).
tcf(c_276754,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_249368,c_151]) ).
tcf(c_276755,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_25)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249368,c_60]) ).
tcf(c_276757,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_25) ),
inference(superposition,[status(thm)],[c_249368,c_293]) ).
tcf(c_276758,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_249368,c_8246]) ).
tcf(c_276759,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_249368,c_8233]) ).
tcf(c_276770,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_276759,c_170458,c_8255]) ).
tcf(c_276773,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_276758,c_173701]) ).
tcf(c_276794,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_249369,c_1176]) ).
tcf(c_276795,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_249369,c_151]) ).
tcf(c_276796,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_26)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249369,c_60]) ).
tcf(c_276798,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_26) ),
inference(superposition,[status(thm)],[c_249369,c_293]) ).
tcf(c_276799,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_249369,c_8246]) ).
tcf(c_276800,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_249369,c_8233]) ).
tcf(c_276811,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_276800,c_170458,c_8255]) ).
tcf(c_276814,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_276799,c_173701]) ).
tcf(c_276945,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_249379,c_1176]) ).
tcf(c_276946,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_249379,c_151]) ).
tcf(c_276947,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_18,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249379,c_60]) ).
tcf(c_276949,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_249379,c_293]) ).
tcf(c_276950,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_249379,c_8246]) ).
tcf(c_276951,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_249379,c_8233]) ).
tcf(c_276962,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_276951,c_170458,c_8255]) ).
tcf(c_276965,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_276950,c_173701]) ).
tcf(c_276984,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_249381,c_1176]) ).
tcf(c_276985,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_249381,c_151]) ).
tcf(c_276986,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_22)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249381,c_60]) ).
tcf(c_276988,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_22) ),
inference(superposition,[status(thm)],[c_249381,c_293]) ).
tcf(c_276989,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_249381,c_8246]) ).
tcf(c_276990,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_249381,c_8233]) ).
tcf(c_277001,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_276990,c_174072]) ).
tcf(c_277021,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_168266,c_170889]) ).
tcf(c_277023,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_168436,c_170889]) ).
tcf(c_277024,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_169140,c_170889]) ).
tcf(c_277025,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_169162,c_170889]) ).
tcf(c_277026,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_168563,c_170889]) ).
tcf(c_277028,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_169193,c_170889]) ).
tcf(c_277029,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_168438,c_170889]) ).
tcf(c_277030,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_168439,c_170889]) ).
tcf(c_277031,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_168537,c_170889]) ).
tcf(c_277032,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_168859,c_170889]) ).
tcf(c_277033,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_169532,c_170889]) ).
tcf(c_277034,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_168440,c_170889]) ).
tcf(c_277035,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_168441,c_170889]) ).
tcf(c_277036,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_168442,c_170889]) ).
tcf(c_277037,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_168389,c_170889]) ).
tcf(c_277038,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_168397,c_170889]) ).
tcf(c_277039,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_168435,c_170889]) ).
tcf(c_277040,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_168445,c_170889]) ).
tcf(c_277041,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_201107,c_170889]) ).
tcf(c_277042,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_192817,c_170889]) ).
tcf(c_277043,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_186159,c_170889]) ).
tcf(c_277044,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_174623,c_170889]) ).
tcf(c_277045,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_168783,c_170889]) ).
tcf(c_277046,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_201149,c_170889]) ).
tcf(c_277047,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_192970,c_170889]) ).
tcf(c_277048,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_186200,c_170889]) ).
tcf(c_277049,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_174651,c_170889]) ).
tcf(c_277050,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_168960,c_170889]) ).
tcf(c_277051,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_169395,c_170889]) ).
tcf(c_277052,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_175338,c_170889]) ).
tcf(c_277053,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_201009,c_170889]) ).
tcf(c_277054,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_185810,c_170889]) ).
tcf(c_277055,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_174444,c_170889]) ).
tcf(c_277056,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_169723,c_170889]) ).
tcf(c_277057,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_201035,c_170889]) ).
tcf(c_277058,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_186095,c_170889]) ).
tcf(c_277059,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_174484,c_170889]) ).
tcf(c_277060,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_169942,c_170889]) ).
tcf(c_277061,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_201061,c_170889]) ).
tcf(c_277062,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_186121,c_170889]) ).
tcf(c_277063,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_174571,c_170889]) ).
tcf(c_277064,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_169968,c_170889]) ).
tcf(c_277065,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_170634,c_170889]) ).
tcf(c_277067,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_168380,c_170889]) ).
tcf(c_277068,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_168375,c_170889]) ).
tcf(c_277069,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_171942,c_170889]) ).
tcf(c_277070,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_168370,c_170889]) ).
tcf(c_277071,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_168480,c_170889]) ).
tcf(c_277072,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_168481,c_170889]) ).
tcf(c_277073,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_168482,c_170889]) ).
tcf(c_277074,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_175002,c_170889]) ).
tcf(c_277075,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_175027,c_170889]) ).
tcf(c_277076,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_175061,c_170889]) ).
tcf(c_277077,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_175063,c_170889]) ).
tcf(c_277078,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_175064,c_170889]) ).
tcf(c_277079,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_175067,c_170889]) ).
tcf(c_277080,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_175073,c_170889]) ).
tcf(c_277081,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_175074,c_170889]) ).
tcf(c_277082,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_175075,c_170889]) ).
tcf(c_277083,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_175076,c_170889]) ).
tcf(c_277084,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_175077,c_170889]) ).
tcf(c_277085,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_175078,c_170889]) ).
tcf(c_277086,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_175079,c_170889]) ).
tcf(c_277087,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_175080,c_170889]) ).
tcf(c_277088,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_175081,c_170889]) ).
tcf(c_277089,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_204223,c_170889]) ).
tcf(c_277090,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_175333,c_170889]) ).
tcf(c_277091,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_175334,c_170889]) ).
tcf(c_277092,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_175335,c_170889]) ).
tcf(c_277093,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_175336,c_170889]) ).
tcf(c_277094,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_175337,c_170889]) ).
tcf(c_277095,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_175339,c_170889]) ).
tcf(c_277096,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_175340,c_170889]) ).
tcf(c_277097,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_175344,c_170889]) ).
tcf(c_277098,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_175346,c_170889]) ).
tcf(c_277099,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_175347,c_170889]) ).
tcf(c_277100,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_175348,c_170889]) ).
tcf(c_277101,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_175349,c_170889]) ).
tcf(c_277102,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_175350,c_170889]) ).
tcf(c_277103,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_175351,c_170889]) ).
tcf(c_277104,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_175352,c_170889]) ).
tcf(c_277105,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_175452,c_170889]) ).
tcf(c_277106,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_175455,c_170889]) ).
tcf(c_277107,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_175460,c_170889]) ).
tcf(c_277108,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_176076,c_170889]) ).
tcf(c_277109,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_177405,c_170889]) ).
tcf(c_277110,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_178116,c_170889]) ).
tcf(c_277111,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_178122,c_170889]) ).
tcf(c_277112,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_178130,c_170889]) ).
tcf(c_277113,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_178134,c_170889]) ).
tcf(c_277114,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_179657,c_170889]) ).
tcf(c_277115,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_194181,c_170889]) ).
tcf(c_277116,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_181097,c_170889]) ).
tcf(c_277117,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_181888,c_170889]) ).
tcf(c_277118,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_181892,c_170889]) ).
tcf(c_277119,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_204357,c_170889]) ).
tcf(c_277120,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_182015,c_170889]) ).
tcf(c_277121,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_182028,c_170889]) ).
tcf(c_277122,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_182352,c_170889]) ).
tcf(c_277123,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_182356,c_170889]) ).
tcf(c_277124,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_182531,c_170889]) ).
tcf(c_277125,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_182535,c_170889]) ).
tcf(c_277126,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_182660,c_170889]) ).
tcf(c_277127,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_182664,c_170889]) ).
tcf(c_277128,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_182816,c_170889]) ).
tcf(c_277129,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_182829,c_170889]) ).
tcf(c_277130,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_183007,c_170889]) ).
tcf(c_277131,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_183020,c_170889]) ).
tcf(c_277132,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_183125,c_170889]) ).
tcf(c_277133,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_183138,c_170889]) ).
tcf(c_277134,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_183256,c_170889]) ).
tcf(c_277135,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_183265,c_170889]) ).
tcf(c_277136,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_183402,c_170889]) ).
tcf(c_277137,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_183406,c_170889]) ).
tcf(c_277138,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_183554,c_170889]) ).
tcf(c_277139,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_183567,c_170889]) ).
tcf(c_277140,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_183684,c_170889]) ).
tcf(c_277141,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_183688,c_170889]) ).
tcf(c_277142,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_183836,c_170889]) ).
tcf(c_277143,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_183845,c_170889]) ).
tcf(c_277144,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_184349,c_170889]) ).
tcf(c_277145,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_184408,c_170889]) ).
tcf(c_277146,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_192418,c_170889]) ).
tcf(c_277147,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_192551,c_170889]) ).
tcf(c_277148,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_193509,c_170889]) ).
tcf(c_277149,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_193716,c_170889]) ).
tcf(c_277150,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_194002,c_170889]) ).
tcf(c_277151,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_194654,c_170889]) ).
tcf(c_277152,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_194816,c_170889]) ).
tcf(c_277153,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_195334,c_170889]) ).
tcf(c_277154,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_196055,c_170889]) ).
tcf(c_277155,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_201209,c_170889]) ).
tcf(c_277156,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_198816,c_170889]) ).
tcf(c_277157,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_204699,c_170889]) ).
tcf(c_277158,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_204083,c_170889]) ).
tcf(c_277159,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_204955,c_170889]) ).
tcf(c_277160,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_209481,c_170889]) ).
tcf(c_277161,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_210576,c_170889]) ).
tcf(c_277162,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_207104,c_170889]) ).
tcf(c_277163,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_214415,c_170889]) ).
tcf(c_277164,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_217252,c_170889]) ).
tcf(c_277165,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_222973,c_170889]) ).
tcf(c_277166,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_225424,c_170889]) ).
tcf(c_277167,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_277108,c_169780]) ).
tcf(c_277182,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_277093,c_173701]) ).
tcf(c_277202,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_277088,c_169780,c_173701]) ).
tcf(c_277206,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_277078,c_8250,c_173701]) ).
tcf(c_277210,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_277077,c_8248,c_173701]) ).
tcf(c_277214,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_277076,c_173701,c_8228]) ).
tcf(c_277218,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_277040,c_168111]) ).
tcf(c_277253,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_277085,c_173701,c_169198]) ).
tcf(c_277257,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_277084,c_173701,c_169167]) ).
tcf(c_277261,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_277083,c_173701,c_169145]) ).
tcf(c_277265,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_277079,c_173701,c_168077]) ).
tcf(c_277279,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_277071,c_173701,c_172]) ).
tcf(c_277295,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_277145,c_173701,c_184383]) ).
tcf(c_277309,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_277114,c_173701,c_179620]) ).
tcf(c_277323,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_277081,c_173701,c_168863]) ).
tcf(c_277327,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_277080,c_173701,c_168541]) ).
tcf(c_277351,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_277143,c_173701]) ).
tcf(c_277369,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_277140,c_173701]) ).
tcf(c_277375,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_277139,c_172]) ).
tcf(c_277381,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_277138,c_172]) ).
tcf(c_277393,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_277136,c_173701]) ).
tcf(c_277399,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_277135,c_173701]) ).
tcf(c_277411,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_277133,c_169198]) ).
tcf(c_277417,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_277132,c_169198]) ).
tcf(c_277423,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_277131,c_169167]) ).
tcf(c_277429,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_277130,c_169167]) ).
tcf(c_277435,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_277129,c_169145]) ).
tcf(c_277441,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_277128,c_169145]) ).
tcf(c_277453,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_277126,c_173701]) ).
tcf(c_277465,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_277124,c_173701]) ).
tcf(c_277477,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_277122,c_173701]) ).
tcf(c_277483,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_277121,c_168077]) ).
tcf(c_277489,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_277120,c_168077]) ).
tcf(c_277501,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_277117,c_173701]) ).
tcf(c_277513,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_277160,c_204953]) ).
tcf(c_277518,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_277159,c_173701,c_204953]) ).
tcf(c_277522,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_277154,c_173701,c_196053]) ).
tcf(c_277537,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_277112,c_173701]) ).
tcf(c_277567,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_277087,c_173701]) ).
tcf(c_277573,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_277086,c_173701]) ).
tcf(c_277591,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_277152,c_184383]) ).
tcf(c_277603,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_277150,c_179620]) ).
tcf(c_277609,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_277149,c_168863]) ).
tcf(c_277615,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_277148,c_168541]) ).
tcf(c_277651,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_277165,c_217250]) ).
tcf(c_277656,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_277164,c_173701,c_217250]) ).
tcf(c_277665,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_277158,c_173701,c_204081]) ).
tcf(c_277750,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_277119,c_196053]) ).
tcf(c_277773,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_277163,c_173701,c_214413]) ).
tcf(c_277807,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_277082,c_173701]) ).
tcf(c_278607,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_168155,c_277065]) ).
tcf(c_278678,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_276757,c_169840]) ).
tcf(c_278679,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_276757,c_169538]) ).
tcf(c_278689,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_276798,c_169840]) ).
tcf(c_278690,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_276798,c_169538]) ).
tcf(c_278732,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_276949,c_169840]) ).
tcf(c_278733,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_276949,c_169538]) ).
tcf(c_278787,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_276988,c_170212]) ).
tcf(c_278788,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_276988,c_169784]) ).
tcf(c_278789,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_276988,c_169475]) ).
tcf(c_278790,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_276988,c_167838]) ).
tcf(c_278805,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_249382,c_1176]) ).
tcf(c_278806,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_249382,c_151]) ).
tcf(c_278807,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_23)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249382,c_60]) ).
tcf(c_278809,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_23) ),
inference(superposition,[status(thm)],[c_249382,c_293]) ).
tcf(c_278810,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_249382,c_8246]) ).
tcf(c_278811,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_249382,c_8233]) ).
tcf(c_278822,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_278811,c_174072]) ).
tcf(c_278891,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_249383,c_1176]) ).
tcf(c_278892,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_249383,c_151]) ).
tcf(c_278893,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_24)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249383,c_60]) ).
tcf(c_278895,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_24) ),
inference(superposition,[status(thm)],[c_249383,c_293]) ).
tcf(c_278896,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_249383,c_8246]) ).
tcf(c_278897,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_249383,c_8233]) ).
tcf(c_278908,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_278897,c_174072]) ).
tcf(c_278941,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_249384,c_1176]) ).
tcf(c_278942,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_249384,c_151]) ).
tcf(c_278943,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_18)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249384,c_60]) ).
tcf(c_278945,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_18) ),
inference(superposition,[status(thm)],[c_249384,c_293]) ).
tcf(c_278946,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_249384,c_8246]) ).
tcf(c_278947,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_249384,c_8233]) ).
tcf(c_278958,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_278947,c_174072]) ).
tcf(c_278971,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_249386,c_1176]) ).
tcf(c_278972,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_249386,c_151]) ).
tcf(c_278973,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_32)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249386,c_60]) ).
tcf(c_278975,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_32) ),
inference(superposition,[status(thm)],[c_249386,c_293]) ).
tcf(c_278976,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_249386,c_8246]) ).
tcf(c_278977,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_249386,c_8233]) ).
tcf(c_278988,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_278977,c_174072]) ).
tcf(c_279008,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_169797,c_179244]) ).
tcf(c_279009,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_200560,c_179244]) ).
tcf(c_279010,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_279008,c_169797]) ).
tcf(c_279011,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_279010,c_8253]) ).
tcf(c_279038,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_169797,c_179343]) ).
tcf(c_279039,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_200560,c_179343]) ).
tcf(c_279040,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_279038,c_169797]) ).
tcf(c_279041,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_279040,c_8253]) ).
tcf(c_279122,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_169797,c_180066]) ).
tcf(c_279123,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_200560,c_180066]) ).
tcf(c_279124,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_279122,c_169797]) ).
tcf(c_279125,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_279124,c_8253]) ).
tcf(c_279154,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_278809,c_170212]) ).
tcf(c_279155,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_278809,c_169784]) ).
tcf(c_279156,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_278809,c_169475]) ).
tcf(c_279157,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_278809,c_167838]) ).
tcf(c_279224,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_278895,c_170212]) ).
tcf(c_279225,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_278895,c_169784]) ).
tcf(c_279226,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_278895,c_169475]) ).
tcf(c_279227,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_278895,c_167838]) ).
tcf(c_279242,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_278945,c_170212]) ).
tcf(c_279243,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_278945,c_169784]) ).
tcf(c_279244,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_278945,c_169475]) ).
tcf(c_279245,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_278945,c_167838]) ).
tcf(c_279274,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_278975,c_170212]) ).
tcf(c_279275,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_278975,c_169784]) ).
tcf(c_279276,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_278975,c_169475]) ).
tcf(c_279277,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_278975,c_167838]) ).
tcf(c_279292,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_249396,c_1176]) ).
tcf(c_279293,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_249396,c_151]) ).
tcf(c_279294,plain,
( ~ r1_tarski(iPr_def_29,sK4)
| ~ r2_hidden(iPr_def_28,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249396,c_60]) ).
tcf(c_279296,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_29,sK4) ),
inference(superposition,[status(thm)],[c_249396,c_293]) ).
tcf(c_279297,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_249396,c_8246]) ).
tcf(c_279298,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_249396,c_8233]) ).
tcf(c_279427,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_249399,c_1176]) ).
tcf(c_279428,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_249399,c_151]) ).
tcf(c_279429,plain,
( ~ r1_tarski(iPr_def_29,iPr_def_31)
| ~ r2_hidden(iPr_def_20,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_249399,c_60]) ).
tcf(c_279431,plain,
( m1_subset_1(sK12(iPr_def_29),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_31) ),
inference(superposition,[status(thm)],[c_249399,c_293]) ).
tcf(c_279432,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_249399,c_8246]) ).
tcf(c_279433,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_249399,c_8233]) ).
tcf(c_279444,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_279433,c_174072]) ).
tcf(c_279476,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_254745,c_170889]) ).
tcf(c_279477,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_254745,c_181536]) ).
tcf(c_279478,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_254745,c_181444]) ).
tcf(c_279479,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_254745,c_181360]) ).
tcf(c_279480,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_254745,c_181218]) ).
tcf(c_279481,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_254745,c_180716]) ).
tcf(c_279482,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_254745,c_180666]) ).
tcf(c_279483,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_254745,c_180431]) ).
tcf(c_279484,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_254745,c_180304]) ).
tcf(c_279485,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_254745,c_180236]) ).
tcf(c_279486,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_254745,c_180139]) ).
tcf(c_279487,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_254745,c_180059]) ).
tcf(c_279489,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_254745,c_179336]) ).
tcf(c_279490,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_254745,c_179237]) ).
tcf(c_279496,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_254745,c_170897]) ).
tcf(c_279530,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_279476,c_173701,c_254743]) ).
tcf(c_279607,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_169797,c_180146]) ).
tcf(c_279608,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_200560,c_180146]) ).
tcf(c_279609,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_279607,c_169797]) ).
tcf(c_279610,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_279609,c_8253]) ).
tcf(c_279637,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_169797,c_180243]) ).
tcf(c_279638,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_200560,c_180243]) ).
tcf(c_279639,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_279637,c_169797]) ).
tcf(c_279640,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_279639,c_8253]) ).
tcf(c_279667,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_169797,c_180311]) ).
tcf(c_279668,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_200560,c_180311]) ).
tcf(c_279669,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_279667,c_169797]) ).
tcf(c_279670,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_279669,c_8253]) ).
tcf(c_279697,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_169797,c_180438]) ).
tcf(c_279698,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_200560,c_180438]) ).
tcf(c_279699,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_279697,c_169797]) ).
tcf(c_279700,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_279699,c_8253]) ).
tcf(c_279721,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_170634,c_180515]) ).
tcf(c_279722,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_170628,c_180515]) ).
tcf(c_279723,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_171942,c_180515]) ).
tcf(c_279724,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_175352,c_180515]) ).
tcf(c_279725,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_8212,c_180515]) ).
tcf(c_279726,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_8214,c_180515]) ).
tcf(c_279727,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_8222,c_180515]) ).
tcf(c_279765,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_279431,c_170212]) ).
tcf(c_279766,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_279431,c_169784]) ).
tcf(c_279767,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_279431,c_169475]) ).
tcf(c_279768,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_279431,c_167838]) ).
tcf(c_279794,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_175065,c_170889]) ).
tcf(c_279795,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_175065,c_181536]) ).
tcf(c_279796,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_175065,c_181444]) ).
tcf(c_279797,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_175065,c_181360]) ).
tcf(c_279798,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_175065,c_181218]) ).
tcf(c_279799,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_175065,c_180716]) ).
tcf(c_279800,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_175065,c_180666]) ).
tcf(c_279801,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_175065,c_180431]) ).
tcf(c_279802,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_175065,c_180304]) ).
tcf(c_279803,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_175065,c_180236]) ).
tcf(c_279804,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_175065,c_180139]) ).
tcf(c_279805,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_175065,c_180059]) ).
tcf(c_279807,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_175065,c_179336]) ).
tcf(c_279808,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_175065,c_179237]) ).
tcf(c_279814,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_175065,c_170897]) ).
tcf(c_279861,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_279814,c_170458,c_8255]) ).
tcf(c_279866,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_279794,c_173701]) ).
tcf(c_280045,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_279721,c_170298,c_170789]) ).
tcf(c_280061,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_8212,c_280045]) ).
tcf(c_280062,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_8214,c_280045]) ).
tcf(c_280063,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_8222,c_280045]) ).
tcf(c_280064,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_280045,c_1177]) ).
tcf(c_280065,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_280045,c_1176]) ).
tcf(c_280066,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_280045,c_151]) ).
tcf(c_280067,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_280045,c_60]) ).
tcf(c_280068,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_280045,c_304]) ).
tcf(c_280069,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_280045,c_293]) ).
tcf(c_280070,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_280045,c_8246]) ).
tcf(c_280071,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_280045,c_8233]) ).
tcf(c_280126,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_8212,c_279724]) ).
tcf(c_280127,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_8214,c_279724]) ).
tcf(c_280128,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_8222,c_279724]) ).
tcf(c_280158,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_169797,c_180673]) ).
tcf(c_280159,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_200560,c_180673]) ).
tcf(c_280160,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_280158,c_169797]) ).
tcf(c_280161,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_280160,c_8253]) ).
tcf(c_280286,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_169797,c_180723]) ).
tcf(c_280287,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_200560,c_180723]) ).
tcf(c_280288,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_280286,c_169797]) ).
tcf(c_280289,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_280288,c_8253]) ).
tcf(c_280329,plain,
~ r1_tarski(iPr_def_21,sK12(sK16(iPr_def_20))),
inference(global_subsumption_just,[status(thm)],[c_179248,c_8235,c_22480,c_262421]) ).
tcf(c_280352,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_169797,c_181225]) ).
tcf(c_280353,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_200560,c_181225]) ).
tcf(c_280354,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_280352,c_169797]) ).
tcf(c_280355,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_280354,c_8253]) ).
tcf(c_280382,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_169797,c_181367]) ).
tcf(c_280383,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_200560,c_181367]) ).
tcf(c_280384,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_280382,c_169797]) ).
tcf(c_280385,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_280384,c_8253]) ).
tcf(c_280412,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_169797,c_181451]) ).
tcf(c_280413,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_200560,c_181451]) ).
tcf(c_280414,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_280412,c_169797]) ).
tcf(c_280415,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_280414,c_8253]) ).
tcf(c_280442,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_169797,c_181543]) ).
tcf(c_280443,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_200560,c_181543]) ).
tcf(c_280444,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_280442,c_169797]) ).
tcf(c_280445,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_280444,c_8253]) ).
tcf(c_280594,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_168397,c_180966]) ).
tcf(c_280595,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_170634,c_180966]) ).
tcf(c_280596,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_170628,c_180966]) ).
tcf(c_280600,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_280594,c_176018]) ).
tcf(c_280767,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_170628,c_205134]) ).
tcf(c_280768,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_171942,c_205134]) ).
tcf(c_280769,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_175352,c_205134]) ).
tcf(c_280770,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_8212,c_205134]) ).
tcf(c_280771,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_8214,c_205134]) ).
tcf(c_280772,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_8222,c_205134]) ).
tcf(c_280801,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_8212,c_280769]) ).
tcf(c_280802,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_8214,c_280769]) ).
tcf(c_280803,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_8222,c_280769]) ).
tcf(c_280817,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_168266,c_206175]) ).
tcf(c_280819,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_170634,c_206175]) ).
tcf(c_280820,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_170628,c_206175]) ).
tcf(c_280821,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_171942,c_206175]) ).
tcf(c_280823,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_8212,c_206175]) ).
tcf(c_280824,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_8214,c_206175]) ).
tcf(c_280825,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_8222,c_206175]) ).
tcf(c_280867,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_168266,c_209206]) ).
tcf(c_280869,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_170634,c_209206]) ).
tcf(c_280870,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_170628,c_209206]) ).
tcf(c_280871,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_171942,c_209206]) ).
tcf(c_280901,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_280869,c_120495]) ).
tcf(c_280915,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_220117,c_280901]) ).
tcf(c_280936,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_168266,c_209207]) ).
tcf(c_280938,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_170634,c_209207]) ).
tcf(c_280939,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_170628,c_209207]) ).
tcf(c_280940,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_171942,c_209207]) ).
tcf(c_280970,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_280938,c_13550,c_14226,c_120562]) ).
tcf(c_280984,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_280970,c_298]) ).
tcf(c_281027,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_168266,c_209208]) ).
tcf(c_281029,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_170634,c_209208]) ).
tcf(c_281030,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_170628,c_209208]) ).
tcf(c_281031,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_171942,c_209208]) ).
tcf(c_281061,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_281029,c_120706]) ).
tcf(c_281075,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_281061,c_1177]) ).
tcf(c_281076,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_281061,c_1176]) ).
tcf(c_281077,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_281061,c_151]) ).
tcf(c_281078,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_281061,c_60]) ).
tcf(c_281081,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_281061,c_8246]) ).
tcf(c_281082,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_281061,c_8233]) ).
tcf(c_281110,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_281082,c_176042,c_176045]) ).
tcf(c_281119,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_281081,c_8224,c_169852]) ).
tcf(c_281233,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_8212,c_209887]) ).
tcf(c_281234,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_8214,c_209887]) ).
tcf(c_281235,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_8222,c_209887]) ).
tcf(c_281236,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_281235,c_8222]) ).
tcf(c_281237,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_281236,c_168556]) ).
tcf(c_281242,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_281234,c_8214]) ).
tcf(c_281244,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_281233,c_8212]) ).
tcf(c_281245,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_281244,c_8229]) ).
tcf(c_281262,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_8212,c_219719]) ).
tcf(c_281263,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_8214,c_219719]) ).
tcf(c_281264,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_8222,c_219719]) ).
tcf(c_281265,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_219719,c_298]) ).
tcf(c_281266,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_281264,c_8222]) ).
tcf(c_281272,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_281263,c_8214]) ).
tcf(c_281278,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_281262,c_8212]) ).
tcf(c_281302,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_168266,c_222566]) ).
tcf(c_281304,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_170634,c_222566]) ).
tcf(c_281305,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_170628,c_222566]) ).
tcf(c_281306,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_171942,c_222566]) ).
tcf(c_281336,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_281304,c_123092]) ).
tcf(c_281350,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_220117,c_281336]) ).
tcf(c_281371,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_168266,c_226932]) ).
tcf(c_281373,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_170634,c_226932]) ).
tcf(c_281374,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_170628,c_226932]) ).
tcf(c_281375,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_171942,c_226932]) ).
tcf(c_282148,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_192425,c_170889]) ).
tcf(c_282150,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_192425,c_181444]) ).
tcf(c_282151,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_192425,c_181360]) ).
tcf(c_282152,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_192425,c_181218]) ).
tcf(c_282154,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_192425,c_180666]) ).
tcf(c_282155,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_192425,c_180431]) ).
tcf(c_282156,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_192425,c_180304]) ).
tcf(c_282157,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_192425,c_180236]) ).
tcf(c_282158,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_192425,c_180139]) ).
tcf(c_282159,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_192425,c_180059]) ).
tcf(c_282161,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_192425,c_179336]) ).
tcf(c_282162,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_192425,c_179237]) ).
tcf(c_282168,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_192425,c_170897]) ).
tcf(c_282209,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_282168,c_174072]) ).
tcf(c_282225,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_192435,c_170889]) ).
tcf(c_282227,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_192435,c_181444]) ).
tcf(c_282228,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_192435,c_181360]) ).
tcf(c_282229,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_192435,c_181218]) ).
tcf(c_282231,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_192435,c_180666]) ).
tcf(c_282232,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_192435,c_180431]) ).
tcf(c_282233,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_192435,c_180304]) ).
tcf(c_282234,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_192435,c_180236]) ).
tcf(c_282235,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_192435,c_180139]) ).
tcf(c_282236,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_192435,c_180059]) ).
tcf(c_282238,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_192435,c_179336]) ).
tcf(c_282239,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_192435,c_179237]) ).
tcf(c_282245,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_192435,c_170897]) ).
tcf(c_282286,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_282245,c_170458,c_8255]) ).
tcf(c_282291,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_282225,c_173701]) ).
tcf(c_283018,plain,
( ( sK11(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(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_192558,c_170889]) ).
tcf(c_283020,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_181444]) ).
tcf(c_283021,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_181360]) ).
tcf(c_283022,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_181218]) ).
tcf(c_283024,plain,
( r2_hidden(sK25(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_180666]) ).
tcf(c_283025,plain,
( r2_hidden(sK19(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_180431]) ).
tcf(c_283026,plain,
( r2_hidden(sK17(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_180304]) ).
tcf(c_283027,plain,
( r2_hidden(sK25(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_180236]) ).
tcf(c_283028,plain,
( r2_hidden(sK19(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_180139]) ).
tcf(c_283029,plain,
( r2_hidden(sK17(sK2),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_180059]) ).
tcf(c_283031,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_179336]) ).
tcf(c_283032,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_179237]) ).
tcf(c_283038,plain,
( ( sK11(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(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_192558,c_170897]) ).
tcf(c_283079,plain,
( ( sK11(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(sK11(iPr_def_20,iPr_def_18),sK2)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283038,c_174072]) ).
tcf(c_283108,plain,
( ( sK11(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(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_192568,c_170889]) ).
tcf(c_283110,plain,
( r2_hidden(sK12(iPr_def_21),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_181444]) ).
tcf(c_283111,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_181360]) ).
tcf(c_283112,plain,
( r2_hidden(k1_tarski(iPr_def_27),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_181218]) ).
tcf(c_283114,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_180666]) ).
tcf(c_283115,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_180431]) ).
tcf(c_283116,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_180304]) ).
tcf(c_283117,plain,
( r2_hidden(sK25(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_180236]) ).
tcf(c_283118,plain,
( r2_hidden(sK19(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_180139]) ).
tcf(c_283119,plain,
( r2_hidden(sK17(sK2),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_180059]) ).
tcf(c_283121,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_179336]) ).
tcf(c_283122,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_21,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_179237]) ).
tcf(c_283128,plain,
( ( sK11(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(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_192568,c_170897]) ).
tcf(c_283169,plain,
( ( sK11(iPr_def_20,iPr_def_18) = iPr_def_18 )
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ 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(forward_subsumption_resolution,[status(thm)],[c_283128,c_170458,c_8255]) ).
tcf(c_283174,plain,
( ( sK11(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(sK11(iPr_def_20,iPr_def_18),sK3)
| ~ m1_subset_1(sK11(iPr_def_20,iPr_def_18),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283108,c_173701]) ).
tcf(c_283194,plain,
( ( u1_struct_0(sK10(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(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_192834,c_170889]) ).
tcf(c_283195,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_181536]) ).
tcf(c_283197,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_181360]) ).
tcf(c_283199,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_180716]) ).
tcf(c_283200,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_180666]) ).
tcf(c_283201,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_180431]) ).
tcf(c_283202,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_180304]) ).
tcf(c_283207,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_179336]) ).
tcf(c_283214,plain,
( ( u1_struct_0(sK10(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(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_192834,c_170897]) ).
tcf(c_283243,plain,
( ( u1_struct_0(sK10(sK2)) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283214,c_170458,c_8255,c_168543]) ).
tcf(c_283247,plain,
( ( u1_struct_0(sK10(sK2)) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283194,c_173701]) ).
tcf(c_283336,plain,
( ( u1_struct_0(sK10(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(u1_struct_0(sK10(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_192838,c_170889]) ).
tcf(c_283337,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_181536]) ).
tcf(c_283339,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_181360]) ).
tcf(c_283341,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_180716]) ).
tcf(c_283342,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_180666]) ).
tcf(c_283343,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_180431]) ).
tcf(c_283344,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_180304]) ).
tcf(c_283349,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_179336]) ).
tcf(c_283351,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_206740]) ).
tcf(c_283353,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_169447]) ).
tcf(c_283356,plain,
( ( u1_struct_0(sK10(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(u1_struct_0(sK10(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK10(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_192838,c_170897]) ).
tcf(c_283391,plain,
( ( u1_struct_0(sK10(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(u1_struct_0(sK10(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283356,c_168543]) ).
tcf(c_283457,plain,
( ( u1_struct_0(sK14(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(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_192987,c_170889]) ).
tcf(c_283458,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_181536]) ).
tcf(c_283460,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_181360]) ).
tcf(c_283462,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_180716]) ).
tcf(c_283463,plain,
( r2_hidden(sK25(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_180666]) ).
tcf(c_283464,plain,
( r2_hidden(sK19(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_180431]) ).
tcf(c_283465,plain,
( r2_hidden(sK17(sK3),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_180304]) ).
tcf(c_283470,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_179336]) ).
tcf(c_283477,plain,
( ( u1_struct_0(sK14(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(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_192987,c_170897]) ).
tcf(c_283506,plain,
( ( u1_struct_0(sK14(sK2)) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283477,c_170458,c_8255,c_168865]) ).
tcf(c_283510,plain,
( ( u1_struct_0(sK14(sK2)) = iPr_def_18 )
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ v1_tsp_1(iPr_def_18,sK3)
| ~ v1_tsp_2(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283457,c_173701]) ).
tcf(c_283600,plain,
( ( u1_struct_0(sK14(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(u1_struct_0(sK14(sK2)),sK3)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_19) ),
inference(superposition,[status(thm)],[c_192991,c_170889]) ).
tcf(c_283601,plain,
( r2_hidden(sK12(iPr_def_29),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_181536]) ).
tcf(c_283603,plain,
( r2_hidden(sK12(iPr_def_19),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_181360]) ).
tcf(c_283605,plain,
( r2_hidden(sK16(iPr_def_28),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_29,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_180716]) ).
tcf(c_283606,plain,
( r2_hidden(sK25(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_180666]) ).
tcf(c_283607,plain,
( r2_hidden(sK19(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_180431]) ).
tcf(c_283608,plain,
( r2_hidden(sK17(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_180304]) ).
tcf(c_283613,plain,
( r2_hidden(sK16(iPr_def_18),iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_179336]) ).
tcf(c_283615,plain,
( m1_subset_1(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_206740]) ).
tcf(c_283617,plain,
( r2_hidden(iPr_def_30,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_32,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_169447]) ).
tcf(c_283620,plain,
( ( u1_struct_0(sK14(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(u1_struct_0(sK14(sK2)),sK2)
| ~ m1_subset_1(u1_struct_0(sK14(sK2)),iPr_def_21) ),
inference(superposition,[status(thm)],[c_192991,c_170897]) ).
tcf(c_283655,plain,
( ( u1_struct_0(sK14(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(u1_struct_0(sK14(sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283620,c_168865]) ).
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(f448,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f309]) ).
fof(f592,plain,
! [X0] :
( ~ sP1(X0)
| v3_tops_1(sK24(X0),X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f600,plain,
! [X0] :
( ~ sP1(X0)
| v3_pre_topc(sK24(X0),X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f601,plain,
! [X0] :
( ~ sP1(X0)
| v1_xboole_0(sK24(X0)) ),
inference(cnf_transformation,[],[f337]) ).
fof(f602,plain,
! [X0] :
( ~ sP1(X0)
| m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_263,plain,
! [X0: $i] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f602]) ).
tcf(c_264,plain,
! [X0: $i] :
( v1_xboole_0(sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f601]) ).
tcf(c_265,plain,
! [X0: $i] :
( v3_pre_topc(sK24(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f600]) ).
tcf(c_273,plain,
! [X0: $i] :
( v3_tops_1(sK24(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_328,plain,
( v1_xboole_0(sK24(sK2))
| ~ sP1(sK2) ),
inference(instantiation,[status(thm)],[c_264]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( ~ sP0(X0,X1)
| v1_xboole_0(X0) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ sP0(X0,X1) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_737,plain,
! [X0: $i] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_263]) ).
tcf(c_741,plain,
! [X0: $i] :
( v3_pre_topc(sK24(X0),X0)
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_265]) ).
tcf(c_757,plain,
! [X0: $i] :
( v3_tops_1(sK24(X0),X0)
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_273]) ).
tcf(c_3903,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_274,c_741]) ).
tcf(c_3904,plain,
! [X0: $i] :
( v3_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_3903]) ).
tcf(c_3927,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_274,c_737]) ).
tcf(c_3928,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_3927]) ).
tcf(c_4469,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_134,c_757]) ).
tcf(c_4470,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_4469]) ).
tcf(c_4472,plain,
! [X0: $i] :
( sP0(sK24(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4470,c_274,c_3904,c_3928,c_4470]) ).
tcf(c_4473,plain,
! [X0: $i] :
( sP0(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(renaming,[status(thm)],[c_4472]) ).
tcf(c_4666,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_598,c_4473]) ).
tcf(c_4667,plain,
! [X0: $i] :
( v1_xboole_0(sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_4666]) ).
tcf(c_4689,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_274,c_737]) ).
tcf(c_4690,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_4689]) ).
tcf(c_10747,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_8211,c_4690]) ).
tcf(c_10748,plain,
( m1_subset_1(sK24(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_10747,c_8212]) ).
tcf(c_10749,plain,
m1_subset_1(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_10748,c_8256,c_8254]) ).
tcf(c_10752,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_8213,c_4690]) ).
tcf(c_10753,plain,
( m1_subset_1(sK24(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_10752,c_8214]) ).
tcf(c_10754,plain,
m1_subset_1(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_10753,c_8260,c_8261]) ).
tcf(c_11242,plain,
( v1_tsp_1(sK24(sK2),sK2)
| ~ v1_xboole_0(sK24(sK2)) ),
inference(superposition,[status(thm)],[c_10754,c_11140]) ).
tcf(c_11663,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK24(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_10749,c_298]) ).
tcf(c_11701,plain,
r2_hidden(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_11663,c_10751]) ).
tcf(c_12805,plain,
! [X0: $i] :
( r2_hidden(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_11701,c_151]) ).
tcf(c_14498,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_8213,c_4690]) ).
tcf(c_14499,plain,
( m1_subset_1(sK24(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_14498,c_8214]) ).
tcf(c_14500,plain,
m1_subset_1(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_14499,c_8260,c_8261]) ).
tcf(c_15834,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_14500,c_15655]) ).
tcf(c_15976,plain,
v1_tsp_1(sK24(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_15834,c_59,c_58,c_328,c_391,c_11242]) ).
tcf(c_15978,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_15976,c_14520]) ).
tcf(c_15979,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_15978,c_14500]) ).
tcf(c_22863,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_12805,c_151]) ).
tcf(c_22864,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_12805,c_60]) ).
tcf(c_22866,plain,
! [X0: $i] :
( m1_subset_1(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_12805,c_293]) ).
tcf(c_25280,plain,
( r1_tarski(sK24(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_22866,c_11359]) ).
tcf(c_27696,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_25280,c_14332]) ).
tcf(c_27698,plain,
( m1_subset_1(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_25280,c_11332]) ).
tcf(c_27703,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_27696,c_17485]) ).
tcf(c_45822,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_45005,c_15979]) ).
tcf(c_62168,plain,
! [X0: $i] :
( ( sK24(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4667,c_303]) ).
tcf(c_62752,plain,
( ( sK24(sK3) = k1_xboole_0 )
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8254,c_62168]) ).
tcf(c_62754,plain,
sK24(sK3) = k1_xboole_0,
inference(forward_subsumption_resolution,[status(thm)],[c_62752,c_8256]) ).
tcf(c_62769,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(demodulation,[status(thm)],[c_22864,c_62754]) ).
tcf(c_62842,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_62769,c_218,c_12224]) ).
tcf(c_62853,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_11983,c_62842]) ).
tcf(c_62916,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_48272,c_62853]) ).
tcf(c_66219,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_22863,c_62754]) ).
tcf(c_66270,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_13741,c_66219]) ).
tcf(c_68109,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_66270,c_1177]) ).
tcf(c_68110,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_66270,c_1176]) ).
tcf(c_68111,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_66270,c_151]) ).
tcf(c_111962,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_27703,c_27698,c_27703]) ).
tcf(c_121149,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_13741,c_68109]) ).
tcf(c_121184,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_121149,c_13550,c_14226,c_121149]) ).
tcf(c_121223,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_13741,c_68110]) ).
tcf(c_121226,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_18649,c_68110]) ).
tcf(c_121264,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_121223,c_13550,c_14226,c_121223]) ).
tcf(c_121279,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_121264,c_298]) ).
tcf(c_121329,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_13550,c_121226]) ).
tcf(c_121662,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_121329,c_14226,c_121329]) ).
tcf(c_121789,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_13741,c_68111]) ).
tcf(c_121829,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_121789,c_121184,c_121279]) ).
tcf(c_167631,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_8211,c_4690]) ).
tcf(c_167632,plain,
( m1_subset_1(sK24(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_167631,c_8212]) ).
tcf(c_167633,plain,
m1_subset_1(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_167632,c_8256,c_8254]) ).
tcf(c_167636,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_8213,c_4690]) ).
tcf(c_167637,plain,
( m1_subset_1(sK24(sK2),iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_167636,c_8214]) ).
tcf(c_167638,plain,
m1_subset_1(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_167637,c_8260,c_8261]) ).
tcf(c_167909,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_167638,c_167885]) ).
tcf(c_167932,plain,
v1_tsp_1(sK24(sK2),sK2),
inference(global_subsumption_just,[status(thm)],[c_167909,c_59,c_58,c_328,c_391,c_11242]) ).
tcf(c_167934,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_167932,c_167658]) ).
tcf(c_167935,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_167934,c_167638]) ).
tcf(c_167939,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_167935,c_59,c_58,c_328,c_391,c_45822]) ).
tcf(c_168329,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_167939,c_168268]) ).
tcf(c_168357,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_167932,c_168269]) ).
tcf(c_168362,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_168357,c_167638]) ).
tcf(c_168437,plain,
! [X0: $i] :
( r1_tarski(sK24(X0),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4690,c_300]) ).
tcf(c_168580,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_4690,c_298]) ).
tcf(c_168598,plain,
( v1_xboole_0(iPr_def_19)
| r2_hidden(sK24(sK3),iPr_def_19) ),
inference(superposition,[status(thm)],[c_167633,c_298]) ).
tcf(c_168599,plain,
( v1_xboole_0(iPr_def_21)
| r2_hidden(sK24(sK2),iPr_def_21) ),
inference(superposition,[status(thm)],[c_167638,c_298]) ).
tcf(c_168635,plain,
r2_hidden(sK24(sK2),iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_168599,c_14778]) ).
tcf(c_168636,plain,
r2_hidden(sK24(sK3),iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_168598,c_14497]) ).
tcf(c_168682,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_168580,c_185]) ).
tcf(c_168993,plain,
~ r2_hidden(iPr_def_21,sK24(sK2)),
inference(superposition,[status(thm)],[c_168635,c_60]) ).
tcf(c_168996,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_168635,c_8246]) ).
tcf(c_168997,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_168635,c_8233]) ).
tcf(c_169070,plain,
! [X0: $i] :
( r2_hidden(sK24(sK2),X0)
| ~ r1_tarski(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_168635,c_151]) ).
tcf(c_169885,plain,
! [X0: $i] :
( r2_hidden(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_168636,c_151]) ).
tcf(c_169886,plain,
~ r2_hidden(iPr_def_19,sK24(sK3)),
inference(superposition,[status(thm)],[c_168636,c_60]) ).
tcf(c_169889,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_168636,c_8246]) ).
tcf(c_169890,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_168636,c_8233]) ).
tcf(c_170095,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_4690,c_156]) ).
tcf(c_170265,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_4690,c_153]) ).
tcf(c_170605,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_4690,c_154]) ).
tcf(c_170856,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_4690,c_157]) ).
tcf(c_171134,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_168362,c_170897]) ).
tcf(c_171178,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_171134,c_167638]) ).
tcf(c_172469,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ~ v1_tsp_2(sK24(sK3),sK3) ),
inference(superposition,[status(thm)],[c_167633,c_170125]) ).
tcf(c_173124,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_167932,c_173106]) ).
tcf(c_173141,plain,
! [X0: $i] :
( ( sK24(sK2) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_tsp_2(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173124,c_167638]) ).
tcf(c_173598,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_167932,c_171148]) ).
tcf(c_173609,plain,
( ( sK24(sK2) = k1_xboole_0 )
| ~ v1_tsp_2(k1_xboole_0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173598,c_167638]) ).
tcf(c_173707,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_168362,c_168421]) ).
tcf(c_173861,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_173700,c_168329]) ).
tcf(c_173971,plain,
sK24(sK2) = k1_xboole_0,
inference(global_subsumption_just,[status(thm)],[c_173609,c_59,c_58,c_328,c_391,c_12594]) ).
tcf(c_173975,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_171178,c_173971]) ).
tcf(c_173987,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_173971,c_4690]) ).
tcf(c_173988,plain,
( m1_subset_1(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_173987,c_8213,c_8214]) ).
tcf(c_175066,plain,
r1_tarski(sK24(sK3),iPr_def_18),
inference(superposition,[status(thm)],[c_167633,c_168446]) ).
tcf(c_176184,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_175066,c_170897]) ).
tcf(c_176186,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_176184,c_170458,c_8255]) ).
tcf(c_179822,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_169885,c_151]) ).
tcf(c_179823,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_169885,c_60]) ).
tcf(c_179825,plain,
! [X0: $i] :
( m1_subset_1(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_169885,c_293]) ).
tcf(c_179826,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_169885,c_8246]) ).
tcf(c_179827,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_169885,c_8233]) ).
tcf(c_179828,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_169885,c_8245]) ).
tcf(c_179829,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_169885,c_8232]) ).
tcf(c_179830,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_169885,c_168239]) ).
tcf(c_179831,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_169885,c_168240]) ).
tcf(c_179832,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_169885,c_169314]) ).
tcf(c_179833,plain,
( v1_xboole_0(sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK12(sK24(sK3))) ),
inference(superposition,[status(thm)],[c_169885,c_172930]) ).
tcf(c_179846,plain,
( v1_tsp_1(sK24(sK3),sK3)
| ~ r1_tarski(iPr_def_19,sK5(sK3,sK24(sK3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179830,c_167633]) ).
tcf(c_181687,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_167633,c_169546]) ).
tcf(c_182215,plain,
! [X0: $i] :
( r1_tarski(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_179825,c_300]) ).
tcf(c_182216,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_179825,c_157]) ).
tcf(c_182217,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_179825,c_154]) ).
tcf(c_182218,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_179825,c_153]) ).
tcf(c_182219,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_179825,c_156]) ).
tcf(c_182220,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_179825,c_6730]) ).
tcf(c_182221,plain,
( r1_tarski(sK24(sK3),iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_179825,c_168447]) ).
tcf(c_182222,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_179825,c_169483]) ).
tcf(c_182223,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_179825,c_170130]) ).
tcf(c_182224,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_179825,c_167885]) ).
tcf(c_182225,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_179825,c_170212]) ).
tcf(c_182226,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_179825,c_169784]) ).
tcf(c_182227,plain,
( ( k1_struct_0(sK2,sK24(sK3)) = k1_tarski(sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_179825,c_169475]) ).
tcf(c_182228,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_179825,c_167838]) ).
tcf(c_182231,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_179825,c_170125]) ).
tcf(c_182232,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_179825,c_169840]) ).
tcf(c_182233,plain,
( ( k1_struct_0(sK3,sK24(sK3)) = k1_tarski(sK24(sK3)) )
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_179825,c_169538]) ).
tcf(c_182234,plain,
( r1_tarski(sK24(sK3),iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_179825,c_168448]) ).
tcf(c_184069,plain,
! [X0: $i] :
( r1_tarski(sK24(sK3),X0)
| ~ r1_tarski(iPr_def_19,sK6(sK24(sK3),X0)) ),
inference(superposition,[status(thm)],[c_169885,c_168265]) ).
tcf(c_185283,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_182221,c_170897]) ).
tcf(c_185284,plain,
( r2_hidden(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182221,c_178480]) ).
tcf(c_185285,plain,
( m1_subset_1(sK24(sK3),iPr_def_21)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(superposition,[status(thm)],[c_182221,c_168422]) ).
tcf(c_185290,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_185283,c_174072]) ).
tcf(c_185312,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_182234,c_170897]) ).
tcf(c_185313,plain,
( r2_hidden(sK24(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182234,c_178481]) ).
tcf(c_185314,plain,
( m1_subset_1(sK24(sK3),iPr_def_29)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(superposition,[status(thm)],[c_182234,c_168423]) ).
tcf(c_185537,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_179825,c_169792]) ).
tcf(c_186823,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_182221,c_186606]) ).
tcf(c_186893,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_182234,c_186607]) ).
tcf(c_187455,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_169885,c_179238]) ).
tcf(c_187751,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_169060,c_179823]) ).
tcf(c_187752,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_169061,c_179823]) ).
tcf(c_187756,plain,
~ r1_tarski(iPr_def_19,sK24(sK3)),
inference(superposition,[status(thm)],[c_169885,c_179823]) ).
tcf(c_187757,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_170041,c_179823]) ).
tcf(c_187758,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_170574,c_179823]) ).
tcf(c_187759,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_171488,c_179823]) ).
tcf(c_187760,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_171508,c_179823]) ).
tcf(c_187761,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_171530,c_179823]) ).
tcf(c_187765,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_171872,c_179823]) ).
tcf(c_187766,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_171888,c_179823]) ).
tcf(c_187769,plain,
( ~ r1_tarski(iPr_def_29,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_172444,c_179823]) ).
tcf(c_187770,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177390,c_179823]) ).
tcf(c_187772,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_179068,c_179823]) ).
tcf(c_187773,plain,
( ~ r1_tarski(iPr_def_29,sK24(sK3))
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_179127,c_179823]) ).
tcf(c_189290,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_181106,c_179823]) ).
tcf(c_189600,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_185884,c_179823]) ).
tcf(c_189753,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_167633,c_169848]) ).
tcf(c_190097,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_173971,c_168682]) ).
tcf(c_190098,plain,
( r2_hidden(sK24(sK2),k1_zfmisc_1(iPr_def_20))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_168682]) ).
tcf(c_190099,plain,
( r2_hidden(sK24(sK3),k1_zfmisc_1(iPr_def_18))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8211,c_168682]) ).
tcf(c_190100,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_168682,c_151]) ).
tcf(c_190101,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_168682,c_60]) ).
tcf(c_190102,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_168682,c_304]) ).
tcf(c_190104,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_168682,c_8246]) ).
tcf(c_190105,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_168682,c_8233]) ).
tcf(c_190106,plain,
( r2_hidden(sK24(sK3),iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_190099,c_8212]) ).
tcf(c_190107,plain,
( r2_hidden(k1_xboole_0,iPr_def_21)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_190098,c_8214,c_173971]) ).
tcf(c_191587,plain,
( ~ r1_tarski(iPr_def_21,sK24(sK3))
| ~ r1_tarski(iPr_def_19,k1_tarski(sK12(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_184385,c_179823]) ).
tcf(c_196510,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(iPr_def_19,sK12(X0))
| ~ r1_tarski(X0,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_172929,c_179823]) ).
tcf(c_197490,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_20),sK24(sK2)) ),
inference(superposition,[status(thm)],[c_8213,c_190101]) ).
tcf(c_197491,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_18),sK24(sK3)) ),
inference(superposition,[status(thm)],[c_8211,c_190101]) ).
tcf(c_197492,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_173971,c_190101]) ).
tcf(c_197493,plain,
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ r2_hidden(iPr_def_21,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_197492,c_8213,c_8214]) ).
tcf(c_197494,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,sK24(sK3)) ),
inference(light_normalisation,[status(thm)],[c_197491,c_8212]) ).
tcf(c_197856,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_176041,c_179832]) ).
tcf(c_197919,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_197856,c_176042]) ).
tcf(c_197920,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_197919,c_176018]) ).
tcf(c_198698,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_198205,c_179823]) ).
tcf(c_200283,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_179825,c_170220]) ).
tcf(c_202689,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_170219,c_179832]) ).
tcf(c_202756,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_202689,c_169791]) ).
tcf(c_202757,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_202756,c_172]) ).
tcf(c_203118,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_195681,c_179823]) ).
tcf(c_204518,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_203603,c_179823]) ).
tcf(c_205020,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_168682,c_1176]) ).
tcf(c_205068,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_169885,c_1176]) ).
tcf(c_207668,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK2))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_173971,c_168437]) ).
tcf(c_207669,plain,
( r1_tarski(sK24(sK2),iPr_def_20)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(superposition,[status(thm)],[c_8213,c_168437]) ).
tcf(c_207671,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_168437,c_206050]) ).
tcf(c_207673,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_168437,c_170897]) ).
tcf(c_207674,plain,
( r1_tarski(k1_xboole_0,iPr_def_20)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(light_normalisation,[status(thm)],[c_207669,c_173971]) ).
tcf(c_207801,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_173971,c_207673]) ).
tcf(c_207802,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_207801,c_8213,c_173971]) ).
tcf(c_208469,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_168437,c_169447]) ).
tcf(c_208563,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_182234,c_169447]) ).
tcf(c_209586,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_209421,c_179823]) ).
tcf(c_212649,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_198856,c_179832]) ).
tcf(c_212715,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_212649,c_198853]) ).
tcf(c_212716,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_212715,c_210267]) ).
tcf(c_213799,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_173707,c_173971]) ).
tcf(c_215007,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_168437,c_206695]) ).
tcf(c_215516,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_168437,c_206740]) ).
tcf(c_215613,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_182234,c_206740]) ).
tcf(c_216643,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_211223,c_179823]) ).
tcf(c_217365,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_213101,c_179823]) ).
tcf(c_218233,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_169059,c_179823]) ).
tcf(c_220843,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_182221,c_219679]) ).
tcf(c_221206,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_182234,c_219680]) ).
tcf(c_221703,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_168437,c_179237]) ).
tcf(c_221755,plain,
( r2_hidden(sK16(iPr_def_20),iPr_def_18)
| ~ r1_tarski(iPr_def_21,sK24(sK3)) ),
inference(superposition,[status(thm)],[c_175066,c_179237]) ).
tcf(c_221799,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_182221,c_179237]) ).
tcf(c_221800,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_182234,c_179237]) ).
tcf(c_223863,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_223285,c_179823]) ).
tcf(c_224956,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_4667,c_197158]) ).
tcf(c_224957,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_4667,c_305]) ).
tcf(c_224958,plain,
! [X0: $i] :
( ( sK24(X0) = k1_xboole_0 )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(superposition,[status(thm)],[c_4667,c_303]) ).
tcf(c_225476,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_222952,c_179823]) ).
tcf(c_225698,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_4157,c_224958]) ).
tcf(c_225699,plain,
( ( sK24(sK3) = k1_xboole_0 )
| ~ l1_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_8254,c_224958]) ).
tcf(c_225700,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_4196,c_224958]) ).
tcf(c_225701,plain,
sK24(sK3) = k1_xboole_0,
inference(forward_subsumption_resolution,[status(thm)],[c_225699,c_8256]) ).
tcf(c_225713,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_179832,c_225701]) ).
tcf(c_225715,plain,
~ r1_tarski(iPr_def_19,k1_xboole_0),
inference(demodulation,[status(thm)],[c_187756,c_225701]) ).
tcf(c_225716,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_19,X0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(demodulation,[status(thm)],[c_179823,c_225701]) ).
tcf(c_225717,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_185312,c_225701]) ).
tcf(c_225718,plain,
( r1_tarski(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,iPr_def_29) ),
inference(demodulation,[status(thm)],[c_182234,c_225701]) ).
tcf(c_225719,plain,
( r1_tarski(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_21) ),
inference(demodulation,[status(thm)],[c_182221,c_225701]) ).
tcf(c_225728,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_225717,c_168112]) ).
tcf(c_225755,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_168437,c_179336]) ).
tcf(c_226786,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_225701,c_207673]) ).
tcf(c_226787,plain,
( r1_tarski(k1_xboole_0,u1_struct_0(sK3))
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(superposition,[status(thm)],[c_225701,c_168437]) ).
tcf(c_226788,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_225701,c_190101]) ).
tcf(c_226789,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_225701,c_168682]) ).
tcf(c_226790,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_225701,c_4690]) ).
tcf(c_226791,plain,
( r1_tarski(k1_xboole_0,iPr_def_18)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_226787,c_8211]) ).
tcf(c_226792,plain,
( m1_subset_1(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_226790,c_8211,c_8212]) ).
tcf(c_226793,plain,
( r2_hidden(k1_xboole_0,iPr_def_19)
| ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3) ),
inference(light_normalisation,[status(thm)],[c_226789,c_8211,c_8212]) ).
tcf(c_226794,plain,
( ~ l1_pre_topc(sK3)
| ~ v2_pre_topc(sK3)
| ~ r2_hidden(iPr_def_19,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_226788,c_8211,c_8212]) ).
tcf(c_226795,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_226786,c_8211,c_225701]) ).
tcf(c_226820,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_225716,c_218,c_12224]) ).
tcf(c_226826,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_169059,c_226820]) ).
tcf(c_226827,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_169060,c_226820]) ).
tcf(c_226828,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_169061,c_226820]) ).
tcf(c_226829,plain,
! [X0: $i] :
( ~ r1_tarski(iPr_def_20,k1_xboole_0)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_185884,c_226820]) ).
tcf(c_226830,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_169062,c_226820]) ).
tcf(c_226831,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_223285,c_226820]) ).
tcf(c_226847,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_172929,c_226820]) ).
tcf(c_226851,plain,
~ r1_tarski(iPr_def_29,k1_xboole_0),
inference(superposition,[status(thm)],[c_179127,c_226820]) ).
tcf(c_226863,plain,
~ r1_tarski(iPr_def_18,k1_xboole_0),
inference(superposition,[status(thm)],[c_213101,c_226820]) ).
tcf(c_226909,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_176042,c_226830]) ).
tcf(c_226910,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_169791,c_226830]) ).
tcf(c_226911,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_198853,c_226830]) ).
tcf(c_226912,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_204737,c_226830]) ).
tcf(c_226913,plain,
~ r1_tarski(k2_tex_4(sK2,iPr_def_30),k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_226909,c_176018]) ).
tcf(c_226914,plain,
~ r1_tarski(k2_tex_4(sK2,sK12(iPr_def_20)),k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_226910,c_172]) ).
tcf(c_226915,plain,
~ r1_tarski(k2_tex_4(sK2,k1_funct_1(sK4,iPr_def_30)),k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_226911,c_210267]) ).
tcf(c_227064,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_179822,c_225701]) ).
tcf(c_227076,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_168436,c_227064]) ).
tcf(c_227077,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_169140,c_227064]) ).
tcf(c_227078,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_169162,c_227064]) ).
tcf(c_227079,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_168563,c_227064]) ).
tcf(c_227080,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_168437,c_227064]) ).
tcf(c_227081,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_169193,c_227064]) ).
tcf(c_227082,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_168438,c_227064]) ).
tcf(c_227083,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_168439,c_227064]) ).
tcf(c_227084,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_168537,c_227064]) ).
tcf(c_227085,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_168859,c_227064]) ).
tcf(c_227086,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_169532,c_227064]) ).
tcf(c_227087,plain,
( r2_hidden(k1_xboole_0,u1_struct_0(sK20))
| ~ r1_tarski(iPr_def_19,sK23(sK20)) ),
inference(superposition,[status(thm)],[c_168440,c_227064]) ).
tcf(c_227088,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_168441,c_227064]) ).
tcf(c_227089,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_168442,c_227064]) ).
tcf(c_227090,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_168389,c_227064]) ).
tcf(c_227091,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_168397,c_227064]) ).
tcf(c_227092,plain,
! [X0: $i] :
( r2_hidden(k1_xboole_0,X0)
| ~ r1_tarski(iPr_def_19,sK12(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_168435,c_227064]) ).
tcf(c_227094,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_201107,c_227064]) ).
tcf(c_227095,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_192817,c_227064]) ).
tcf(c_227096,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_186159,c_227064]) ).
tcf(c_227097,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_174623,c_227064]) ).
tcf(c_227098,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_168783,c_227064]) ).
tcf(c_227099,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_201149,c_227064]) ).
tcf(c_227100,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_192970,c_227064]) ).
tcf(c_227101,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_186200,c_227064]) ).
tcf(c_227102,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_174651,c_227064]) ).
tcf(c_227103,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_168960,c_227064]) ).
tcf(c_227104,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_169395,c_227064]) ).
tcf(c_227105,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_175338,c_227064]) ).
tcf(c_227106,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_201009,c_227064]) ).
tcf(c_227107,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_185810,c_227064]) ).
tcf(c_227108,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_174444,c_227064]) ).
tcf(c_227109,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_169723,c_227064]) ).
tcf(c_227110,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_201035,c_227064]) ).
tcf(c_227111,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_186095,c_227064]) ).
tcf(c_227112,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_174484,c_227064]) ).
tcf(c_227113,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_169942,c_227064]) ).
tcf(c_227114,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_201061,c_227064]) ).
tcf(c_227115,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_186121,c_227064]) ).
tcf(c_227116,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_174571,c_227064]) ).
tcf(c_227117,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_169968,c_227064]) ).
tcf(c_227118,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_170634,c_227064]) ).
tcf(c_227119,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_170628,c_227064]) ).
tcf(c_227120,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_168380,c_227064]) ).
tcf(c_227121,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_168375,c_227064]) ).
tcf(c_227122,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_171942,c_227064]) ).
tcf(c_227123,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_168370,c_227064]) ).
tcf(c_227125,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_21)) ),
inference(superposition,[status(thm)],[c_168481,c_227064]) ).
tcf(c_227126,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK12(iPr_def_29)) ),
inference(superposition,[status(thm)],[c_168482,c_227064]) ).
tcf(c_227127,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_175002,c_227064]) ).
tcf(c_227128,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_175027,c_227064]) ).
tcf(c_227129,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_175061,c_227064]) ).
tcf(c_227130,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_25) ),
inference(superposition,[status(thm)],[c_175063,c_227064]) ).
tcf(c_227131,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_26) ),
inference(superposition,[status(thm)],[c_175064,c_227064]) ).
tcf(c_227135,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_175075,c_227064]) ).
tcf(c_227139,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_175079,c_227064]) ).
tcf(c_227140,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_175080,c_227064]) ).
tcf(c_227141,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_175081,c_227064]) ).
tcf(c_227142,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_204223,c_227064]) ).
tcf(c_227143,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_22) ),
inference(superposition,[status(thm)],[c_175333,c_227064]) ).
tcf(c_227144,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_23) ),
inference(superposition,[status(thm)],[c_175334,c_227064]) ).
tcf(c_227145,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_24) ),
inference(superposition,[status(thm)],[c_175335,c_227064]) ).
tcf(c_227146,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_18) ),
inference(superposition,[status(thm)],[c_175336,c_227064]) ).
tcf(c_227147,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_175337,c_227064]) ).
tcf(c_227148,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_32) ),
inference(superposition,[status(thm)],[c_175339,c_227064]) ).
tcf(c_227149,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_175340,c_227064]) ).
tcf(c_227150,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_175344,c_227064]) ).
tcf(c_227151,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_175346,c_227064]) ).
tcf(c_227152,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_175347,c_227064]) ).
tcf(c_227153,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_175348,c_227064]) ).
tcf(c_227154,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK17(sK2)) ),
inference(superposition,[status(thm)],[c_175349,c_227064]) ).
tcf(c_227155,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK19(sK2)) ),
inference(superposition,[status(thm)],[c_175350,c_227064]) ).
tcf(c_227156,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,sK25(sK2)) ),
inference(superposition,[status(thm)],[c_175351,c_227064]) ).
tcf(c_227157,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_175352,c_227064]) ).
tcf(c_227158,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK4) ),
inference(superposition,[status(thm)],[c_175452,c_227064]) ).
tcf(c_227159,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_19,sK16(iPr_def_28)) ),
inference(superposition,[status(thm)],[c_175455,c_227064]) ).
tcf(c_227160,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_175460,c_227064]) ).
tcf(c_227161,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,iPr_def_31) ),
inference(superposition,[status(thm)],[c_176076,c_227064]) ).
tcf(c_227162,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_19,k1_tarski(iPr_def_27)) ),
inference(superposition,[status(thm)],[c_177405,c_227064]) ).
tcf(c_227163,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_178116,c_227064]) ).
tcf(c_227164,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_178122,c_227064]) ).
tcf(c_227165,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_178130,c_227064]) ).
tcf(c_227166,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_178134,c_227064]) ).
tcf(c_227168,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_194181,c_227064]) ).
tcf(c_227169,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_181097,c_227064]) ).
tcf(c_227170,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_181888,c_227064]) ).
tcf(c_227171,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_181892,c_227064]) ).
tcf(c_227175,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_182352,c_227064]) ).
tcf(c_227176,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_182356,c_227064]) ).
tcf(c_227177,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_182531,c_227064]) ).
tcf(c_227178,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_182535,c_227064]) ).
tcf(c_227179,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_182660,c_227064]) ).
tcf(c_227180,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_182664,c_227064]) ).
tcf(c_227187,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_183256,c_227064]) ).
tcf(c_227188,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_183265,c_227064]) ).
tcf(c_227189,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_183402,c_227064]) ).
tcf(c_227190,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_183406,c_227064]) ).
tcf(c_227193,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_183684,c_227064]) ).
tcf(c_227194,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_183688,c_227064]) ).
tcf(c_227195,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_183836,c_227064]) ).
tcf(c_227196,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_183845,c_227064]) ).
tcf(c_227197,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_184349,c_227064]) ).
tcf(c_227199,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_192418,c_227064]) ).
tcf(c_227200,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_192551,c_227064]) ).
tcf(c_227204,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_194654,c_227064]) ).
tcf(c_227206,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_195334,c_227064]) ).
tcf(c_227208,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_201209,c_227064]) ).
tcf(c_227210,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_204699,c_227064]) ).
tcf(c_227211,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_204083,c_227064]) ).
tcf(c_227214,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_210576,c_227064]) ).
tcf(c_227215,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_207104,c_227064]) ).
tcf(c_227216,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_214415,c_227064]) ).
tcf(c_227217,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_217252,c_227064]) ).
tcf(c_227218,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_222973,c_227064]) ).
tcf(c_227219,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_225424,c_227064]) ).
tcf(c_227981,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_168437,c_180059]) ).
tcf(c_228833,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_168437,c_180139]) ).
tcf(c_229565,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_168437,c_180236]) ).
tcf(c_230432,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_168389,c_226847]) ).
tcf(c_230433,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_168397,c_226847]) ).
tcf(c_230434,plain,
v1_xboole_0(sK12(k1_zfmisc_1(k1_xboole_0))),
inference(superposition,[status(thm)],[c_168435,c_226847]) ).
tcf(c_230436,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_201107,c_226847]) ).
tcf(c_230438,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_186159,c_226847]) ).
tcf(c_230439,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_174623,c_226847]) ).
tcf(c_230440,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_168783,c_226847]) ).
tcf(c_230441,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_201149,c_226847]) ).
tcf(c_230443,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_186200,c_226847]) ).
tcf(c_230444,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_174651,c_226847]) ).
tcf(c_230445,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_168960,c_226847]) ).
tcf(c_230446,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_169395,c_226847]) ).
tcf(c_230447,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_201009,c_226847]) ).
tcf(c_230448,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_185810,c_226847]) ).
tcf(c_230449,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_174444,c_226847]) ).
tcf(c_230450,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_169723,c_226847]) ).
tcf(c_230451,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_201035,c_226847]) ).
tcf(c_230452,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_186095,c_226847]) ).
tcf(c_230453,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_174484,c_226847]) ).
tcf(c_230454,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_169942,c_226847]) ).
tcf(c_230455,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_201061,c_226847]) ).
tcf(c_230456,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_186121,c_226847]) ).
tcf(c_230457,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_174571,c_226847]) ).
tcf(c_230458,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_169968,c_226847]) ).
tcf(c_230459,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_168380,c_226847]) ).
tcf(c_230460,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_168375,c_226847]) ).
tcf(c_230461,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_171942,c_226847]) ).
tcf(c_230462,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_168370,c_226847]) ).
tcf(c_230464,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_178116,c_226847]) ).
tcf(c_230467,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_192418,c_226847]) ).
tcf(c_230468,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_192551,c_226847]) ).
tcf(c_230472,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_194654,c_226847]) ).
tcf(c_230473,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_194816,c_226847]) ).
tcf(c_230474,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_198816,c_226847]) ).
tcf(c_230475,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_204699,c_226847]) ).
tcf(c_230480,plain,
~ r1_tarski(iPr_def_19,k1_zfmisc_1(k1_xboole_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_230473,c_190]) ).
tcf(c_230481,plain,
~ r1_tarski(iPr_def_21,k1_zfmisc_1(k1_xboole_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_230472,c_190]) ).
tcf(c_230549,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_230462,c_8241]) ).
tcf(c_230553,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_230460,c_8239]) ).
tcf(c_230557,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_230459,c_8237]) ).
tcf(c_230653,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_227118,c_1176]) ).
tcf(c_230654,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_227118,c_151]) ).
tcf(c_230655,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_227118,c_60]) ).
tcf(c_230657,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_227118,c_293]) ).
tcf(c_230658,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_227118,c_8246]) ).
tcf(c_230659,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_227118,c_8233]) ).
tcf(c_231362,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_168437,c_180304]) ).
tcf(c_232422,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_168437,c_180431]) ).
tcf(c_233479,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_168437,c_180666]) ).
tcf(c_234489,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_168437,c_180716]) ).
tcf(c_235409,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_168397,c_226913]) ).
tcf(c_235411,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_235409,c_176018]) ).
tcf(c_235419,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_168389,c_226826]) ).
tcf(c_235420,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_168397,c_226826]) ).
tcf(c_235421,plain,
! [X0: $i] : r1_tarski(sK12(k1_zfmisc_1(k1_xboole_0)),X0),
inference(superposition,[status(thm)],[c_168435,c_226826]) ).
tcf(c_235423,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_201107,c_226826]) ).
tcf(c_235425,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_186159,c_226826]) ).
tcf(c_235426,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_174623,c_226826]) ).
tcf(c_235427,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_168783,c_226826]) ).
tcf(c_235428,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_201149,c_226826]) ).
tcf(c_235430,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_186200,c_226826]) ).
tcf(c_235431,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_174651,c_226826]) ).
tcf(c_235432,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_168960,c_226826]) ).
tcf(c_235433,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_169395,c_226826]) ).
tcf(c_235434,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_201009,c_226826]) ).
tcf(c_235435,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_185810,c_226826]) ).
tcf(c_235436,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_174444,c_226826]) ).
tcf(c_235437,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_169723,c_226826]) ).
tcf(c_235438,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_201035,c_226826]) ).
tcf(c_235439,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_186095,c_226826]) ).
tcf(c_235440,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_174484,c_226826]) ).
tcf(c_235441,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_169942,c_226826]) ).
tcf(c_235442,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_201061,c_226826]) ).
tcf(c_235443,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_186121,c_226826]) ).
tcf(c_235444,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_174571,c_226826]) ).
tcf(c_235445,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_169968,c_226826]) ).
tcf(c_235448,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_171942,c_226826]) ).
tcf(c_235451,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_178116,c_226826]) ).
tcf(c_235454,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_192418,c_226826]) ).
tcf(c_235455,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_192551,c_226826]) ).
tcf(c_235461,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_198816,c_226826]) ).
tcf(c_235462,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_204699,c_226826]) ).
tcf(c_235562,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_168397,c_226914]) ).
tcf(c_235564,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_235562,c_172]) ).
tcf(c_235996,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_168437,c_181218]) ).
tcf(c_247671,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_168437,c_181360]) ).
tcf(c_248616,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_168437,c_181444]) ).
tcf(c_249318,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_168437,c_181536]) ).
tcf(c_250880,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_4667,c_197157]) ).
tcf(c_251191,plain,
~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK20)),k1_xboole_0),
inference(superposition,[status(thm)],[c_201585,c_226820]) ).
tcf(c_252929,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_200560,c_227147]) ).
tcf(c_253409,plain,
~ r1_tarski(iPr_def_20,k1_xboole_0),
inference(global_subsumption_just,[status(thm)],[c_226829,c_218,c_11691,c_26201]) ).
tcf(c_253835,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_168397,c_226915]) ).
tcf(c_253836,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_253835,c_210267]) ).
tcf(c_253865,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_226912,c_62916,c_91012]) ).
tcf(c_253868,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_168397,c_253865]) ).
tcf(c_253909,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_230657,c_298]) ).
tcf(c_267752,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_185290,c_111962]) ).
tcf(c_267754,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(light_normalisation,[status(thm)],[c_267752,c_225701]) ).
tcf(c_277027,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_168437,c_170889]) ).
tcf(c_279064,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_179828,c_225701]) ).
tcf(c_279078,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_179829,c_225701]) ).
tcf(c_279092,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_169797,c_279078]) ).
tcf(c_279093,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_200560,c_279078]) ).
tcf(c_279094,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_279092,c_169797]) ).
tcf(c_279095,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_279094,c_8253]) ).
tcf(c_279488,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_254745,c_227064]) ).
tcf(c_279806,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_175065,c_227064]) ).
tcf(c_280337,plain,
( v1_xboole_0(k1_xboole_0)
| ~ r1_tarski(iPr_def_19,sK12(k1_xboole_0)) ),
inference(light_normalisation,[status(thm)],[c_179833,c_225701]) ).
tcf(c_281014,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_21)
| ~ r2_hidden(iPr_def_21,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_186823,c_225701]) ).
tcf(c_281427,plain,
( ~ r1_tarski(iPr_def_19,iPr_def_29)
| ~ r2_hidden(iPr_def_29,k1_xboole_0) ),
inference(light_normalisation,[status(thm)],[c_186893,c_225701]) ).
tcf(c_281428,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_281373,c_121184]) ).
tcf(c_281442,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_220117,c_281428]) ).
tcf(c_281463,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_168266,c_230653]) ).
tcf(c_281465,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_170634,c_230653]) ).
tcf(c_281466,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_170628,c_230653]) ).
tcf(c_281467,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_171942,c_230653]) ).
tcf(c_281468,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_175352,c_230653]) ).
tcf(c_281502,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_281465,c_13550,c_14226,c_121223]) ).
tcf(c_281516,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_281502,c_298]) ).
tcf(c_281535,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_200262,c_281468]) ).
tcf(c_281536,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_185516,c_281468]) ).
tcf(c_281537,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_174280,c_281468]) ).
tcf(c_281538,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_170419,c_281468]) ).
tcf(c_281539,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_167829,c_281468]) ).
tcf(c_281540,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_200258,c_281468]) ).
tcf(c_281541,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_185512,c_281468]) ).
tcf(c_281542,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_174276,c_281468]) ).
tcf(c_281543,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_167905,c_281468]) ).
tcf(c_281544,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_200259,c_281468]) ).
tcf(c_281545,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_185513,c_281468]) ).
tcf(c_281546,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_174277,c_281468]) ).
tcf(c_281547,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_167906,c_281468]) ).
tcf(c_281548,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_200260,c_281468]) ).
tcf(c_281549,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_185514,c_281468]) ).
tcf(c_281550,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_174278,c_281468]) ).
tcf(c_281551,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_167907,c_281468]) ).
tcf(c_281554,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_200272,c_281468]) ).
tcf(c_281555,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_185526,c_281468]) ).
tcf(c_281556,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_174289,c_281468]) ).
tcf(c_281557,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_168734,c_281468]) ).
tcf(c_281558,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_200273,c_281468]) ).
tcf(c_281559,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_185527,c_281468]) ).
tcf(c_281560,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_174290,c_281468]) ).
tcf(c_281561,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_168945,c_281468]) ).
tcf(c_281562,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_200275,c_281468]) ).
tcf(c_281563,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_185529,c_281468]) ).
tcf(c_281564,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_174292,c_281468]) ).
tcf(c_281565,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_169276,c_281468]) ).
tcf(c_281566,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_200276,c_281468]) ).
tcf(c_281567,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_185530,c_281468]) ).
tcf(c_281568,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_174293,c_281468]) ).
tcf(c_281569,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_169282,c_281468]) ).
tcf(c_281570,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_200277,c_281468]) ).
tcf(c_281571,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_185531,c_281468]) ).
tcf(c_281572,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_174294,c_281468]) ).
tcf(c_281573,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_169301,c_281468]) ).
tcf(c_281574,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_170298,c_281468]) ).
tcf(c_281575,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_219440,c_281468]) ).
tcf(c_281581,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_281550,c_8240]) ).
tcf(c_281586,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_281546,c_8238]) ).
tcf(c_281591,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_281542,c_8236]) ).
tcf(c_281596,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_281549,c_8240]) ).
tcf(c_281601,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_281545,c_8238]) ).
tcf(c_281606,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_281541,c_8236]) ).
tcf(c_281611,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_281548,c_8240]) ).
tcf(c_281616,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_281544,c_8238]) ).
tcf(c_281621,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_281540,c_8236]) ).
tcf(c_281626,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_281572,c_169200]) ).
tcf(c_281631,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_281568,c_169169]) ).
tcf(c_281636,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_281564,c_169147]) ).
tcf(c_281648,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_281571,c_169200]) ).
tcf(c_281653,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_281567,c_169169]) ).
tcf(c_281658,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_281563,c_169147]) ).
tcf(c_281663,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_281570,c_169200]) ).
tcf(c_281668,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_281566,c_169169]) ).
tcf(c_281673,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_281562,c_169147]) ).
tcf(c_281678,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_281560,c_168865]) ).
tcf(c_281683,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_281556,c_168543]) ).
tcf(c_281688,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_281559,c_168865]) ).
tcf(c_281693,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_281555,c_168543]) ).
tcf(c_281704,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_281558,c_168865]) ).
tcf(c_281709,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_281554,c_168543]) ).
tcf(c_281732,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_281551,c_8240]) ).
tcf(c_281738,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_281547,c_8238]) ).
tcf(c_281744,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_281543,c_8236]) ).
tcf(c_281750,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_281573,c_169200]) ).
tcf(c_281756,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_281569,c_169169]) ).
tcf(c_281762,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_281565,c_169147]) ).
tcf(c_281768,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_281561,c_168865]) ).
tcf(c_281774,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_281557,c_168543]) ).
tcf(c_281950,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_281574,c_121662]) ).
tcf(c_281965,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_170634,c_281950]) ).
tcf(c_282160,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_192425,c_227064]) ).
tcf(c_282237,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_192435,c_227064]) ).
tcf(c_282384,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_281575,c_57447,c_281575]) ).
tcf(c_282412,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_168266,c_230654]) ).
tcf(c_282414,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_170634,c_230654]) ).
tcf(c_282415,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_170628,c_230654]) ).
tcf(c_282416,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_171942,c_230654]) ).
tcf(c_282417,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_175352,c_230654]) ).
tcf(c_282451,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_282414,c_121829]) ).
tcf(c_282465,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_282451,c_1177]) ).
tcf(c_282466,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_282451,c_1176]) ).
tcf(c_282467,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_282451,c_151]) ).
tcf(c_282468,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_282451,c_60]) ).
tcf(c_282471,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_282451,c_8246]) ).
tcf(c_282472,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_282451,c_8233]) ).
tcf(c_282589,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_200262,c_282417]) ).
tcf(c_282590,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_185516,c_282417]) ).
tcf(c_282591,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_174280,c_282417]) ).
tcf(c_282592,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_170419,c_282417]) ).
tcf(c_282593,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_167829,c_282417]) ).
tcf(c_282594,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_200258,c_282417]) ).
tcf(c_282595,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_185512,c_282417]) ).
tcf(c_282596,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_174276,c_282417]) ).
tcf(c_282597,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_167905,c_282417]) ).
tcf(c_282598,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_200259,c_282417]) ).
tcf(c_282599,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_185513,c_282417]) ).
tcf(c_282600,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_174277,c_282417]) ).
tcf(c_282601,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_167906,c_282417]) ).
tcf(c_282602,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_200260,c_282417]) ).
tcf(c_282603,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_185514,c_282417]) ).
tcf(c_282604,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_174278,c_282417]) ).
tcf(c_282605,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_167907,c_282417]) ).
tcf(c_282608,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_200272,c_282417]) ).
tcf(c_282609,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_185526,c_282417]) ).
tcf(c_282610,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_174289,c_282417]) ).
tcf(c_282611,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_168734,c_282417]) ).
tcf(c_282612,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_200273,c_282417]) ).
tcf(c_282613,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_185527,c_282417]) ).
tcf(c_282614,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_174290,c_282417]) ).
tcf(c_282615,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_168945,c_282417]) ).
tcf(c_282616,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_200275,c_282417]) ).
tcf(c_282617,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_185529,c_282417]) ).
tcf(c_282618,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_174292,c_282417]) ).
tcf(c_282619,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_169276,c_282417]) ).
tcf(c_282620,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_200276,c_282417]) ).
tcf(c_282621,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_185530,c_282417]) ).
tcf(c_282622,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_174293,c_282417]) ).
tcf(c_282623,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_169282,c_282417]) ).
tcf(c_282624,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_200277,c_282417]) ).
tcf(c_282625,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_185531,c_282417]) ).
tcf(c_282626,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_174294,c_282417]) ).
tcf(c_282627,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_169301,c_282417]) ).
tcf(c_282628,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_170298,c_282417]) ).
tcf(c_282629,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_219440,c_282417]) ).
tcf(c_282635,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_282604,c_8240]) ).
tcf(c_282640,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_282600,c_8238]) ).
tcf(c_282645,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_282596,c_8236]) ).
tcf(c_282650,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_282603,c_8240]) ).
tcf(c_282655,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_282599,c_8238]) ).
tcf(c_282660,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_282595,c_8236]) ).
tcf(c_282665,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_282602,c_8240]) ).
tcf(c_282670,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_282598,c_8238]) ).
tcf(c_282675,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_282594,c_8236]) ).
tcf(c_282680,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_282626,c_169200]) ).
tcf(c_282685,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_282622,c_169169]) ).
tcf(c_282690,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_282618,c_169147]) ).
tcf(c_282702,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_282625,c_169200]) ).
tcf(c_282707,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_282621,c_169169]) ).
tcf(c_282712,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_282617,c_169147]) ).
tcf(c_282717,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_282624,c_169200]) ).
tcf(c_282722,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_282620,c_169169]) ).
tcf(c_282727,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_282616,c_169147]) ).
tcf(c_282732,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_282614,c_168865]) ).
tcf(c_282737,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_282610,c_168543]) ).
tcf(c_282742,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_282613,c_168865]) ).
tcf(c_282747,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_282609,c_168543]) ).
tcf(c_282758,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_282612,c_168865]) ).
tcf(c_282763,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_282608,c_168543]) ).
tcf(c_282786,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_282605,c_8240]) ).
tcf(c_282792,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_282601,c_8238]) ).
tcf(c_282798,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_282597,c_8236]) ).
tcf(c_282804,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_282627,c_169200]) ).
tcf(c_282810,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_282623,c_169169]) ).
tcf(c_282816,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_282619,c_169147]) ).
tcf(c_282822,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_282615,c_168865]) ).
tcf(c_282828,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_282611,c_168543]) ).
tcf(c_283030,plain,
( r2_hidden(k1_xboole_0,iPr_def_20)
| ~ r1_tarski(iPr_def_29,iPr_def_21)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192558,c_227064]) ).
tcf(c_283120,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_29,iPr_def_19)
| ~ r1_tarski(iPr_def_19,sK11(iPr_def_20,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_192568,c_227064]) ).
tcf(c_283206,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192834,c_227064]) ).
tcf(c_283348,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK10(sK2))) ),
inference(superposition,[status(thm)],[c_192838,c_227064]) ).
tcf(c_283469,plain,
( r2_hidden(k1_xboole_0,iPr_def_18)
| ~ r1_tarski(iPr_def_21,iPr_def_19)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192987,c_227064]) ).
tcf(c_283612,plain,
( r2_hidden(k1_xboole_0,iPr_def_28)
| ~ r1_tarski(iPr_def_21,iPr_def_29)
| ~ r1_tarski(iPr_def_19,u1_struct_0(sK14(sK2))) ),
inference(superposition,[status(thm)],[c_192991,c_227064]) ).
tcf(c_283723,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_282828,c_282822,c_282816,c_282810,c_282804,c_282798,c_282792,c_282786,c_282763,c_282758,c_282747,c_282742,c_282737,c_282732,c_282727,c_282722,c_282717,c_282712,c_282707,c_282702,c_282690,c_282685,c_282680,c_282660,c_282655,c_282650,c_282645,c_282640,c_282635,c_282629,c_282627,c_282626,c_282625,c_282624,c_282623,c_282622,c_282621,c_282620,c_282619,c_282618,c_282617,c_282616,c_282615,c_282614,c_282613,c_282612,c_282611,c_282610,c_282609,c_282608,c_282605,c_282604,c_282603,c_282601,c_282600,c_282599,c_282597,c_282596,c_282595,c_282592,c_282468,c_282384,c_281774,c_281768,c_281762,c_281756,c_281750,c_281744,c_281738,c_281732,c_281575,c_281573,c_281569,c_281565,c_281561,c_281557,c_281551,c_281547,c_281543,c_281538,c_281463,c_281427,c_281371,c_281302,c_281242,c_281234,c_281014,c_280936,c_280867,c_280825,c_280824,c_280823,c_280817,c_280803,c_280802,c_280801,c_280772,c_280771,c_280770,c_280600,c_280595,c_280594,c_280443,c_280413,c_280383,c_280353,c_280337,c_280329,c_280287,c_280159,c_280128,c_280127,c_280126,c_280067,c_280063,c_280062,c_280061,c_279768,c_279727,c_279726,c_279725,c_279698,c_279668,c_279638,c_279608,c_279496,c_279277,c_279245,c_279227,c_279157,c_279123,c_279093,c_279064,c_279039,c_279009,c_278790,c_277651,c_277166,c_277165,c_277161,c_277070,c_277068,c_277067,c_277064,c_277060,c_277056,c_277050,c_277045,c_277038,c_277037,c_276695,c_276618,c_276557,c_276536,c_275997,c_275995,c_275994,c_275993,c_275989,c_275985,c_275980,c_275975,c_275970,c_275968,c_275967,c_275871,c_275862,c_275610,c_275533,c_275515,c_275408,c_275324,c_275270,c_274902,c_274689,c_274600,c_274359,c_274341,c_274220,c_274114,c_274044,c_273913,c_273796,c_273542,c_273494,c_272940,c_272389,c_272371,c_272353,c_272335,c_271459,c_271436,c_271418,c_271307,c_271200,c_271101,c_271068,c_271040,c_271008,c_270936,c_270173,c_269976,c_269943,c_269896,c_269755,c_269681,c_269124,c_268954,c_268890,c_268838,c_268692,c_268674,c_268626,c_267864,c_267846,c_267754,c_267357,c_266880,c_266862,c_266844,c_266801,c_266749,c_266748,c_266747,c_266746,c_266745,c_266744,c_266743,c_266742,c_266741,c_266740,c_266476,c_265998,c_265745,c_265744,c_265743,c_265742,c_265741,c_265693,c_265118,c_265093,c_264897,c_264669,c_264668,c_264667,c_264666,c_264609,c_264231,c_264007,c_263841,c_263823,c_263805,c_263539,c_263538,c_263537,c_263536,c_263535,c_263440,c_263095,c_262657,c_262656,c_262655,c_262654,c_262652,c_262605,c_262235,c_262212,c_262194,c_261708,c_261470,c_261469,c_261468,c_261467,c_261466,c_261372,c_261105,c_261067,c_260787,c_260466,c_260462,c_260461,c_260460,c_260459,c_260458,c_260381,c_260076,c_259813,c_259633,c_259629,c_259628,c_259627,c_259626,c_259625,c_259488,c_258957,c_258654,c_258617,c_258591,c_258573,c_258408,c_258404,c_258403,c_258402,c_258401,c_258400,c_258352,c_257532,c_257334,c_257323,c_257322,c_257321,c_257320,c_257318,c_257222,c_256955,c_256925,c_256852,c_256506,c_256233,c_256222,c_256221,c_256220,c_256219,c_256217,c_256170,c_255854,c_255827,c_255482,c_255212,c_255201,c_255200,c_255199,c_255198,c_255196,c_255135,c_254502,c_254232,c_254231,c_254230,c_254229,c_254228,c_254160,c_253868,c_253865,c_253860,c_253836,c_253835,c_253820,c_253535,c_253522,c_253509,c_253485,c_253472,c_253459,c_253446,c_253433,c_253420,c_253361,c_253205,c_253191,c_253160,c_253139,c_253074,c_253035,c_252973,c_252948,c_252929,c_252872,c_252813,c_252770,c_252694,c_252557,c_252556,c_252554,c_252553,c_252366,c_252319,c_252213,c_252181,c_252096,c_252095,c_252093,c_252092,c_252064,c_252063,c_252061,c_252060,c_252023,c_252022,c_252020,c_252019,c_252011,c_251988,c_251987,c_251985,c_251984,c_251930,c_251929,c_251927,c_251926,c_251888,c_251887,c_251886,c_251868,c_251867,c_251866,c_251576,c_251572,c_250897,c_250893,c_250889,c_250885,c_250881,c_250878,c_250871,c_250870,c_250864,c_250863,c_250862,c_250857,c_250856,c_250855,c_250852,c_250851,c_250848,c_249457,c_249456,c_249452,c_249361,c_249359,c_249358,c_249355,c_249351,c_249347,c_249341,c_249336,c_249329,c_249328,c_248755,c_248754,c_248750,c_248657,c_248656,c_248627,c_248626,c_247810,c_247809,c_247805,c_247714,c_247712,c_247711,c_247708,c_247704,c_247700,c_247694,c_247689,c_247682,c_247681,c_236135,c_236134,c_236130,c_236037,c_236036,c_236007,c_236006,c_235982,c_235564,c_235562,c_235445,c_235441,c_235437,c_235432,c_235427,c_235421,c_235420,c_235419,c_235411,c_235409,c_234628,c_234627,c_234623,c_234532,c_234530,c_234529,c_234526,c_234522,c_234518,c_234512,c_234507,c_234500,c_234499,c_233618,c_233617,c_233613,c_233522,c_233520,c_233519,c_233516,c_233512,c_233508,c_233502,c_233497,c_233490,c_233489,c_232561,c_232560,c_232556,c_232465,c_232463,c_232462,c_232459,c_232455,c_232451,c_232445,c_232440,c_232433,c_232432,c_231501,c_231500,c_231496,c_231405,c_231403,c_231402,c_231399,c_231395,c_231391,c_231385,c_231380,c_231373,c_231372,c_231064,c_231062,c_231060,c_231059,c_231058,c_231057,c_231056,c_231055,c_231053,c_231020,c_231019,c_230655,c_230557,c_230553,c_230549,c_230462,c_230460,c_230459,c_230458,c_230454,c_230450,c_230445,c_230440,c_230434,c_230433,c_230432,c_229704,c_229703,c_229699,c_229606,c_229605,c_229576,c_229575,c_228972,c_228971,c_228967,c_228874,c_228873,c_228844,c_228843,c_228120,c_228119,c_228115,c_228022,c_228021,c_227992,c_227991,c_227219,c_227218,c_227214,c_227123,c_227121,c_227120,c_227117,c_227113,c_227109,c_227103,c_227098,c_227091,c_227090,c_226831,c_226816,c_226804,c_226798,c_226797,c_226795,c_226794,c_226793,c_226792,c_226791,c_226790,c_226789,c_226788,c_226787,c_226786,c_225893,c_225889,c_225798,c_225796,c_225795,c_225792,c_225788,c_225784,c_225778,c_225773,c_225766,c_225765,c_225719,c_225718,c_225551,c_225548,c_225534,c_225496,c_225493,c_225492,c_225491,c_225488,c_225487,c_225486,c_225485,c_225483,c_225482,c_225481,c_225480,c_225476,c_225475,c_225473,c_225472,c_225470,c_225469,c_225467,c_225466,c_225465,c_225464,c_225463,c_225462,c_225461,c_225458,c_225457,c_225456,c_225427,c_225426,c_225425,c_225424,c_225423,c_225422,c_225376,c_225375,c_225374,c_225371,c_225370,c_225367,c_225172,c_225133,c_225096,c_225053,c_225041,c_225009,c_225008,c_225007,c_224929,c_224816,c_224793,c_224754,c_224549,c_224514,c_224432,c_224407,c_224377,c_224376,c_224373,c_224372,c_224355,c_224354,c_224348,c_224347,c_223884,c_223863,c_223708,c_223707,c_223706,c_223705,c_223572,c_223539,c_223532,c_223518,c_223489,c_223376,c_223215,c_223152,c_223112,c_223080,c_223072,c_223065,c_223059,c_222976,c_222975,c_222974,c_222973,c_222972,c_222971,c_222957,c_222956,c_222955,c_222952,c_222951,c_222948,c_222933,c_222932,c_222931,c_222908,c_222907,c_222906,c_222799,c_222798,c_222797,c_222774,c_222773,c_222772,c_222749,c_222748,c_222747,c_222528,c_222496,c_222464,c_221840,c_221800,c_221799,c_221755,c_221746,c_221744,c_221743,c_221716,c_221714,c_221713,c_221206,c_221200,c_221192,c_221190,c_221189,c_221188,c_221184,c_221180,c_221176,c_221175,c_221170,c_221164,c_221163,c_221162,c_220843,c_220837,c_220817,c_220816,c_220815,c_220814,c_220813,c_220812,c_220811,c_220810,c_220809,c_220808,c_220807,c_220806,c_220805,c_220804,c_220803,c_220802,c_220800,c_220799,c_220798,c_220797,c_220795,c_220794,c_220793,c_220792,c_220790,c_220788,c_220787,c_220786,c_220353,c_220336,c_220320,c_220319,c_220314,c_220308,c_220307,c_220306,c_220286,c_219718,c_219674,c_219641,c_219454,c_219453,c_219450,c_219366,c_219245,c_219241,c_219221,c_219217,c_219212,c_218657,c_218656,c_218608,c_218607,c_217686,c_217676,c_217107,c_217102,c_217097,c_217092,c_217087,c_217083,c_217079,c_217075,c_216959,c_216955,c_216951,c_216947,c_216943,c_216937,c_216933,c_216929,c_216924,c_216867,c_216828,c_216827,c_216826,c_216825,c_216824,c_216823,c_216822,c_216821,c_216716,c_216702,c_216668,c_216663,c_216660,c_216659,c_216658,c_216655,c_216654,c_216653,c_216652,c_216650,c_216649,c_216648,c_216647,c_216643,c_216642,c_216640,c_216639,c_216637,c_216636,c_216634,c_216632,c_216631,c_216630,c_216629,c_216628,c_216627,c_216624,c_216623,c_216622,c_216451,c_216447,c_216382,c_215559,c_215557,c_215556,c_215553,c_215549,c_215545,c_215539,c_215534,c_215527,c_215526,c_215044,c_215040,c_215036,c_215030,c_215025,c_215018,c_215017,c_214730,c_214729,c_214728,c_214727,c_214711,c_214710,c_214707,c_214706,c_214622,c_214378,c_214376,c_214374,c_214373,c_214372,c_214371,c_214361,c_214359,c_214357,c_214356,c_214355,c_214354,c_213892,c_213891,c_213890,c_213876,c_213875,c_213874,c_213863,c_213799,c_213622,c_213617,c_213612,c_213479,c_213477,c_213476,c_213475,c_213471,c_213467,c_213462,c_213457,c_213450,c_213449,c_213252,c_213251,c_213249,c_213248,c_213244,c_213243,c_213242,c_213231,c_213230,c_213229,c_213217,c_213216,c_213215,c_213213,c_213212,c_213211,c_213172,c_213171,c_213170,c_213167,c_213166,c_213144,c_213137,c_213120,c_213119,c_213117,c_213116,c_213113,c_213112,c_213090,c_213089,c_213087,c_213086,c_212997,c_212996,c_212994,c_212993,c_212830,c_212822,c_212811,c_212804,c_212800,c_212796,c_212792,c_212788,c_212784,c_212780,c_212776,c_212772,c_212768,c_212764,c_212760,c_212756,c_212752,c_212748,c_212744,c_212740,c_212736,c_212732,c_212728,c_212724,c_212720,c_212716,c_212712,c_212708,c_212704,c_212700,c_212696,c_212692,c_212688,c_212672,c_212670,c_212668,c_212667,c_212666,c_212664,c_212663,c_212661,c_212627,c_212563,c_212562,c_212561,c_212558,c_212557,c_212547,c_212545,c_212544,c_212543,c_212541,c_212540,c_212539,c_212314,c_212308,c_212302,c_212121,c_212119,c_212118,c_212117,c_212113,c_212109,c_212104,c_212099,c_212092,c_212091,c_212057,c_212056,c_212054,c_212053,c_212044,c_212043,c_212041,c_212040,c_212031,c_212030,c_212028,c_212027,c_211978,c_211977,c_211975,c_211974,c_211957,c_211956,c_211954,c_211953,c_211935,c_211934,c_211933,c_211874,c_211873,c_211871,c_211870,c_211849,c_211848,c_211846,c_211845,c_211820,c_211819,c_211817,c_211816,c_211750,c_211749,c_211747,c_211746,c_211677,c_211676,c_211674,c_211673,c_211664,c_211663,c_211661,c_211660,c_211647,c_211646,c_211644,c_211643,c_211598,c_211597,c_211595,c_211594,c_211585,c_211584,c_211582,c_211581,c_211404,c_211403,c_211401,c_211400,c_211396,c_211392,c_211367,c_211352,c_21135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8556,c_168555,c_168476,c_168475,c_168473,c_168474,c_168472,c_167970,c_168230,c_168228,c_167670,c_168221,c_168362,c_168357,c_168445,c_168448,c_168447,c_168446,c_168444,c_168443,c_168442,c_168441,c_168440,c_168439,c_168438,c_168437,c_168436,c_168435,c_168423,c_168422,c_168421,c_168271,c_168270,c_168269,c_168268,c_168267,c_168266,c_168265,c_168257,c_167935,c_167934,c_167932,c_170567,c_177455,c_168306,c_168305,c_168244,c_168243,c_168242,c_168241,c_168240,c_168239,c_168123,c_168122,c_168121,c_168120,c_168119,c_168118,c_168113,c_168112,c_168111,c_168109,c_168106,c_168105,c_168060,c_168150,c_168149,c_167978,c_168087,c_168086,c_168085,c_168084,c_168083,c_168082,c_168077,c_168076,c_168073,c_168072,c_168071,c_167974,c_167973,c_167968,c_167967,c_167966,c_167964,c_167963,c_167962,c_167961,c_167960,c_167809,c_167808,c_167746,c_167745,c_167731,c_167730,c_14778,c_167724,c_167694,c_167693,c_167660,c_167658,c_167647,c_167638,c_167637,c_167636,c_14497,c_167634,c_167633,c_167632,c_167631,c_167614,c_167613,c_167602,c_167583,c_167582,c_8262,c_8259,c_8258,c_8257,c_8255,c_8253,c_8252,c_8251,c_8250,c_8249,c_8248,c_8247,c_8246,c_8245,c_8244,c_8243,c_8242,c_8241,c_8240,c_8239,c_8238,c_8237,c_8236,c_8235,c_8234,c_8233,c_8232,c_8231,c_8230,c_8229,c_8228,c_8227,c_8226,c_8225,c_8224,c_8223,c_8222,c_8221,c_8220,c_8219,c_8218,c_8217,c_8216,c_8215,c_8214,c_8213,c_8212,c_8211,c_8210,c_8209,c_8208,c_8207,c_8206,c_8205,c_8204,c_8203,c_8202,c_8201,c_8200,c_8199,c_8198,c_8197,c_8196,c_6939,c_6938,c_6937,c_6936,c_6740,c_6746,c_6325,c_6269,c_6258,c_6233,c_6222,c_6204,c_6666,c_6664,c_6662,c_6660,c_6658,c_6744,c_6742,c_6738,c_6281,c_6252,c_6245,c_6732,c_6730,c_4196,c_6688,c_8254,c_4157,c_6686,c_6684,c_6682,c_8256,c_4078,c_4067,c_6656,c_6654,c_4690,c_4667,c_1177,c_1176,c_305,c_304,c_303,c_300,c_299,c_298,c_297,c_293,c_288,c_275,c_254,c_253,c_244,c_243,c_242,c_240,c_239,c_238,c_232,c_230,c_218,c_217,c_190,c_185,c_172,c_168,c_159,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_143,c_60,c_8260,c_8261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.53 % Computer : n011.cluster.edu
% 0.09/5.53 % Model : x86_64 x86_64
% 0.09/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53 % Memory : 8046.5625MB
% 0.09/5.53 % OS : Linux 6.8.0-71-generic
% 0.09/5.53 % CPULimit : 300
% 0.09/5.53 % WCLimit : 300
% 0.09/5.53 % DateTime : Fri Sep 25 04:13:19 UTC 2026
% 0.09/5.54 % CPUTime :
% 0.09/5.54 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.58 Running first-order theorem proving
% 0.09/5.58 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.59
% 0.09/5.59 % ======== iProver multi-core TPTP/SMT =========
% 0.09/5.59
% 0.09/5.59 % Detected problem language: tptp
% 0.14/5.60 % Proving...
% 152.10/29.63 % SZS status Started for theBenchmark.p
% 152.10/29.63 % SZS status Theorem for theBenchmark.p
% 152.10/29.63
% 152.10/29.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 152.10/29.63
% 152.10/29.63 % ------ iProver source info
% 152.10/29.63
% 152.10/29.63 % git: date: 2026-07-19 20:42:38 +0200
% 152.10/29.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 152.10/29.63 % git: non_committed_changes: false
% 152.10/29.63
% 152.10/29.63 % ------ Parsing...
% 152.10/29.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 152.10/29.63
% 152.10/29.63 % ------ 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: 20 0s sf_e pe_s pe_e %
% 152.10/29.63
% 152.10/29.63 % ------ Preprocessing... gs_s sp: 7 0s gs_e snvd_s sp: 0 0s snvd_e %
% 152.10/29.63
% 152.10/29.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 152.10/29.63 % ------ Proving...
% 152.10/29.63 % ------ Problem Properties
% 152.10/29.63
% 152.10/29.63 %
% 152.10/29.63 % clauses 144
% 152.10/29.63 % conjectures 3
% 152.10/29.63 % EPR 43
% 152.10/29.63 % Horn 131
% 152.10/29.63 % unary 57
% 152.10/29.63 % binary 31
% 152.10/29.63 % lits 315
% 152.10/29.63 % lits eq 47
% 152.10/29.63 % fd_pure 0
% 152.10/29.63 % fd_pseudo 0
% 152.10/29.63 % fd_cond 1
% 152.10/29.63 % fd_pseudo_cond 2
% 152.10/29.63 % AC symbols 0
% 152.10/29.63
% 152.10/29.63 % ------ Schedule dynamic 5 is on
% 152.10/29.63
% 152.10/29.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 152.10/29.63
% 152.10/29.63
% 152.10/29.63 % ------
% 152.10/29.63 % Current options:
% 152.10/29.63 % ------
% 152.10/29.63
% 152.10/29.63
% 152.10/29.63 %
% 152.10/29.63
% 152.10/29.63 % ------ Proving...
% 152.10/29.63 % Proof_search_loop: time out after: 9563 full_loop iterations
% 152.10/29.63
% 152.10/29.63 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 152.10/29.63
% 152.10/29.63
% 152.10/29.63 % ------
% 152.10/29.63 % Current options:
% 152.10/29.63 % ------
% 152.10/29.63
% 152.10/29.63
% 152.10/29.63 %
% 152.10/29.63
% 152.10/29.63 % ------ Proving...
% 152.10/29.63 %
% 152.10/29.63
% 152.10/29.63 % SZS status Theorem for theBenchmark.p
% 152.10/29.63
% 152.10/29.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 175.80/30.04
% 175.80/30.04
%------------------------------------------------------------------------------