TSTP Solution File: LAT376+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT376+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:47:57 EDT 2022
% Result : Theorem 226.69s 227.05s
% Output : CNFRefutation 226.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 96
% Syntax : Number of formulae : 696 ( 467 unt; 79 typ; 0 def)
% Number of atoms : 6635 (1240 equ; 0 cnn)
% Maximal formula atoms : 23 ( 10 avg)
% Number of connectives : 15406 (3129 ~;3246 |; 286 &;8699 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 139 ( 139 >; 0 *; 0 +; 0 <<)
% Number of symbols : 82 ( 79 usr; 5 con; 0-6 aty)
% Number of variables : 1708 ( 0 ^1704 !; 4 ?;1708 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g2_altcat_1,type,
g2_altcat_1: $i > $i > $i > $i ).
thf(tp_g2_functor0,type,
g2_functor0: $i > $i > $i > $i > $i ).
thf(tp_k15_functor0,type,
k15_functor0: $i > $i > $i > $i ).
thf(tp_k1_xboole_0,type,
k1_xboole_0: $i ).
thf(tp_k1_zfmisc_1,type,
k1_zfmisc_1: $i > $i ).
thf(tp_k2_altcat_1,type,
k2_altcat_1: $i > $i > $i ).
thf(tp_k2_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_k3_altcat_1,type,
k3_altcat_1: $i > $i > $i > $i ).
thf(tp_k3_zfmisc_1,type,
k3_zfmisc_1: $i > $i > $i > $i ).
thf(tp_k4_waybel34,type,
k4_waybel34: $i > $i ).
thf(tp_k5_waybel34,type,
k5_waybel34: $i > $i ).
thf(tp_k6_waybel34,type,
k6_waybel34: $i > $i ).
thf(tp_k7_waybel34,type,
k7_waybel34: $i > $i ).
thf(tp_k8_waybel34,type,
k8_waybel34: $i > $i ).
thf(tp_k9_waybel34,type,
k9_waybel34: $i > $i ).
thf(tp_l1_altcat_1,type,
l1_altcat_1: $i > $o ).
thf(tp_l1_functor0,type,
l1_functor0: $i > $i > $i > $o ).
thf(tp_l1_struct_0,type,
l1_struct_0: $i > $o ).
thf(tp_l2_altcat_1,type,
l2_altcat_1: $i > $o ).
thf(tp_l2_functor0,type,
l2_functor0: $i > $i > $i > $o ).
thf(tp_m1_altcat_2,type,
m1_altcat_2: $i > $i > $o ).
thf(tp_m1_functor0,type,
m1_functor0: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_m1_pboole,type,
m1_pboole: $i > $i > $o ).
thf(tp_m1_relset_1,type,
m1_relset_1: $i > $i > $i > $o ).
thf(tp_m1_subset_1,type,
m1_subset_1: $i > $i > $o ).
thf(tp_m2_functor0,type,
m2_functor0: $i > $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_m3_pboole,type,
m3_pboole: $i > $i > $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_r3_yellow20,type,
r3_yellow20: $i > $i > $i > $i > $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_B,type,
sK2_B: $i > $i ).
thf(tp_sK3_A,type,
sK3_A: $i ).
thf(tp_u1_altcat_1,type,
u1_altcat_1: $i > $i ).
thf(tp_u1_functor0,type,
u1_functor0: $i > $i > $i > $i ).
thf(tp_u1_struct_0,type,
u1_struct_0: $i > $i ).
thf(tp_u2_altcat_1,type,
u2_altcat_1: $i > $i ).
thf(tp_u2_functor0,type,
u2_functor0: $i > $i > $i > $i ).
thf(tp_v11_altcat_1,type,
v11_altcat_1: $i > $o ).
thf(tp_v11_functor0,type,
v11_functor0: $i > $i > $i > $o ).
thf(tp_v12_altcat_1,type,
v12_altcat_1: $i > $o ).
thf(tp_v12_functor0,type,
v12_functor0: $i > $i > $i > $o ).
thf(tp_v14_functor0,type,
v14_functor0: $i > $i > $i > $o ).
thf(tp_v16_functor0,type,
v16_functor0: $i > $i > $i > $o ).
thf(tp_v1_altcat_2,type,
v1_altcat_2: $i > $o ).
thf(tp_v1_finset_1,type,
v1_finset_1: $i > $o ).
thf(tp_v1_funcop_1,type,
v1_funcop_1: $i > $o ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_funct_2,type,
v1_funct_2: $i > $i > $i > $o ).
thf(tp_v1_int_1,type,
v1_int_1: $i > $o ).
thf(tp_v1_membered,type,
v1_membered: $i > $o ).
thf(tp_v1_rat_1,type,
v1_rat_1: $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v1_xcmplx_0,type,
v1_xcmplx_0: $i > $o ).
thf(tp_v1_xreal_0,type,
v1_xreal_0: $i > $o ).
thf(tp_v1_yellow21,type,
v1_yellow21: $i > $o ).
thf(tp_v21_functor0,type,
v21_functor0: $i > $i > $i > $o ).
thf(tp_v2_altcat_1,type,
v2_altcat_1: $i > $o ).
thf(tp_v2_funct_1,type,
v2_funct_1: $i > $o ).
thf(tp_v2_membered,type,
v2_membered: $i > $o ).
thf(tp_v2_setfam_1,type,
v2_setfam_1: $i > $o ).
thf(tp_v2_yellow18,type,
v2_yellow18: $i > $o ).
thf(tp_v2_yellow21,type,
v2_yellow21: $i > $o ).
thf(tp_v3_altcat_2,type,
v3_altcat_2: $i > $i > $o ).
thf(tp_v3_membered,type,
v3_membered: $i > $o ).
thf(tp_v3_struct_0,type,
v3_struct_0: $i > $o ).
thf(tp_v3_yellow18,type,
v3_yellow18: $i > $o ).
thf(tp_v3_yellow21,type,
v3_yellow21: $i > $o ).
thf(tp_v4_membered,type,
v4_membered: $i > $o ).
thf(tp_v4_ordinal2,type,
v4_ordinal2: $i > $o ).
thf(tp_v4_yellow18,type,
v4_yellow18: $i > $o ).
thf(tp_v5_membered,type,
v5_membered: $i > $o ).
thf(tp_v6_altcat_1,type,
v6_altcat_1: $i > $o ).
thf(tp_v6_functor0,type,
v6_functor0: $i > $i > $i > $o ).
thf(tp_v8_functor0,type,
v8_functor0: $i > $i > $i > $o ).
thf(tp_v9_altcat_1,type,
v9_altcat_1: $i > $o ).
thf(tp_v9_functor0,type,
v9_functor0: $i > $i > $i > $o ).
thf(5,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( r3_yellow20 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k8_waybel34 @ A ) @ ( k9_waybel34 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).
thf(6,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( ( v16_functor0 @ C @ A @ B )
& ( m2_functor0 @ C @ A @ B ) )
=> ( ( v21_functor0 @ C @ A @ B )
=> ! [D: $i] :
( ( ~ ( v3_struct_0 @ D )
& ( v2_altcat_1 @ D )
& ( v3_altcat_2 @ D @ A )
& ( m1_altcat_2 @ D @ A ) )
=> ! [E: $i] :
( ( ~ ( v3_struct_0 @ E )
& ( v2_altcat_1 @ E )
& ( v3_altcat_2 @ E @ B )
& ( m1_altcat_2 @ E @ B ) )
=> ( ( r3_yellow20 @ A @ B @ C @ D @ E )
=> ( r3_yellow20 @ B @ A @ ( k15_functor0 @ A @ B @ C ) @ E @ D ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).
thf(11,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k7_waybel34 @ A ) )
& ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k6_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
thf(21,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_setfam_1) ).
thf(25,axiom,
? [A: $i] :
~ ( v2_setfam_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_setfam_1) ).
thf(33,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel34) ).
thf(34,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).
thf(36,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
& ( v2_yellow18 @ ( k5_waybel34 @ A ) )
& ( v3_yellow18 @ ( k5_waybel34 @ A ) )
& ( v4_yellow18 @ ( k5_waybel34 @ A ) )
& ( v1_yellow21 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).
thf(38,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k4_waybel34 @ A ) )
& ( v2_yellow18 @ ( k4_waybel34 @ A ) )
& ( v3_yellow18 @ ( k4_waybel34 @ A ) )
& ( v4_yellow18 @ ( k4_waybel34 @ A ) )
& ( v1_yellow21 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).
thf(73,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
thf(74,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k8_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k8_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k8_waybel34 @ A ) )
& ( v3_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( m1_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).
thf(75,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel34) ).
thf(76,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
thf(77,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
thf(78,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
thf(100,axiom,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
thf(127,conjecture,
! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( r3_yellow20 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k9_waybel34 @ A ) @ ( k8_waybel34 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).
thf(128,negated_conjecture,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( r3_yellow20 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k9_waybel34 @ A ) @ ( k8_waybel34 @ A ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[127]) ).
thf(129,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( r3_yellow20 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k9_waybel34 @ A ) @ ( k8_waybel34 @ A ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[128]) ).
thf(130,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( r3_yellow20 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k8_waybel34 @ A ) @ ( k9_waybel34 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(131,plain,
( ( ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_altcat_1 @ A )
& ( v11_altcat_1 @ A )
& ( v12_altcat_1 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_altcat_1 @ B )
& ( v11_altcat_1 @ B )
& ( v12_altcat_1 @ B )
& ( l2_altcat_1 @ B ) )
=> ! [C: $i] :
( ( ( v16_functor0 @ C @ A @ B )
& ( m2_functor0 @ C @ A @ B ) )
=> ( ( v21_functor0 @ C @ A @ B )
=> ! [D: $i] :
( ( ~ ( v3_struct_0 @ D )
& ( v2_altcat_1 @ D )
& ( v3_altcat_2 @ D @ A )
& ( m1_altcat_2 @ D @ A ) )
=> ! [E: $i] :
( ( ~ ( v3_struct_0 @ E )
& ( v2_altcat_1 @ E )
& ( v3_altcat_2 @ E @ B )
& ( m1_altcat_2 @ E @ B ) )
=> ( ( r3_yellow20 @ A @ B @ C @ D @ E )
=> ( r3_yellow20 @ B @ A @ ( k15_functor0 @ A @ B @ C ) @ E @ D ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(132,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k7_waybel34 @ A ) )
& ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k6_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(133,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ A )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(134,plain,
( ( ? [A: $i] :
~ ( v2_setfam_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(135,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(136,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(137,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
& ( v2_yellow18 @ ( k5_waybel34 @ A ) )
& ( v3_yellow18 @ ( k5_waybel34 @ A ) )
& ( v4_yellow18 @ ( k5_waybel34 @ A ) )
& ( v1_yellow21 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(138,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v9_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v1_altcat_2 @ ( k4_waybel34 @ A ) )
& ( v2_yellow18 @ ( k4_waybel34 @ A ) )
& ( v3_yellow18 @ ( k4_waybel34 @ A ) )
& ( v4_yellow18 @ ( k4_waybel34 @ A ) )
& ( v1_yellow21 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(139,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k9_waybel34 @ A ) )
& ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(140,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k8_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k8_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k8_waybel34 @ A ) )
& ( v3_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( m1_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(141,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
& ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(142,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ( ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
& ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(143,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
& ( v2_yellow21 @ ( k5_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(144,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
& ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
& ( v2_yellow21 @ ( k4_waybel34 @ A ) )
& ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(145,plain,
( ( ! [A: $i] :
( ~ ( v2_setfam_1 @ A )
=> ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(146,plain,
( ( ~ ( v2_setfam_1 @ sK1_A )
=> ( r3_yellow20 @ ( k5_waybel34 @ sK1_A ) @ ( k4_waybel34 @ sK1_A ) @ ( k7_waybel34 @ sK1_A ) @ ( k9_waybel34 @ sK1_A ) @ ( k8_waybel34 @ sK1_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(147,plain,
( ( ~ ( v2_setfam_1 @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[146]) ).
thf(148,plain,
( ( r3_yellow20 @ ( k5_waybel34 @ sK1_A ) @ ( k4_waybel34 @ sK1_A ) @ ( k7_waybel34 @ sK1_A ) @ ( k9_waybel34 @ sK1_A ) @ ( k8_waybel34 @ sK1_A ) )
= $false ),
inference(standard_cnf,[status(thm)],[146]) ).
thf(149,plain,
( ( ~ ( r3_yellow20 @ ( k5_waybel34 @ sK1_A ) @ ( k4_waybel34 @ sK1_A ) @ ( k7_waybel34 @ sK1_A ) @ ( k9_waybel34 @ sK1_A ) @ ( k8_waybel34 @ sK1_A ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[148]) ).
thf(150,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( r3_yellow20 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k8_waybel34 @ A ) @ ( k9_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(151,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( l2_altcat_1 @ A )
| ! [B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v11_altcat_1 @ B )
| ~ ( v12_altcat_1 @ B )
| ~ ( l2_altcat_1 @ B )
| ! [C: $i] :
( ~ ( m2_functor0 @ C @ A @ B )
| ~ ( v16_functor0 @ C @ A @ B )
| ~ ( v21_functor0 @ C @ A @ B )
| ! [D: $i] :
( ( v3_struct_0 @ D )
| ~ ( v2_altcat_1 @ D )
| ~ ( v3_altcat_2 @ D @ A )
| ~ ( m1_altcat_2 @ D @ A )
| ! [E: $i] :
( ( v3_struct_0 @ E )
| ~ ( v2_altcat_1 @ E )
| ~ ( v3_altcat_2 @ E @ B )
| ~ ( m1_altcat_2 @ E @ B )
| ~ ( r3_yellow20 @ A @ B @ C @ D @ E )
| ( r3_yellow20 @ B @ A @ ( k15_functor0 @ A @ B @ C ) @ E @ D ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[131]) ).
thf(152,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k7_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k6_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[132]) ).
thf(153,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( ( m1_subset_1 @ ( sK2_B @ A ) @ A )
& ~ ( v1_xboole_0 @ ( sK2_B @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(154,plain,
( ( ~ ( v2_setfam_1 @ sK3_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(155,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[135]) ).
thf(156,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[136]) ).
thf(157,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_altcat_2 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow18 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow18 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v4_yellow18 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_yellow21 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow21 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[137]) ).
thf(158,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_altcat_2 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow18 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow18 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v4_yellow18 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_yellow21 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow21 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[138]) ).
thf(159,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k9_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k9_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[139]) ).
thf(160,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k8_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k8_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v3_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( m1_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(161,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[141]) ).
thf(162,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(163,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_yellow21 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(164,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v11_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v12_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_yellow21 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(165,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(166,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v1_xboole_0 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(167,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v11_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v12_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_yellow21 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(168,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_yellow21 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(169,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(170,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(171,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v2_altcat_1 @ ( k8_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v6_altcat_1 @ ( k8_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( v3_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v1_xboole_0 @ A )
| ( m1_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(172,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k9_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k9_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(173,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_altcat_1 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_altcat_2 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow18 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow18 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v4_yellow18 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_yellow21 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow21 @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(174,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_altcat_2 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow18 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow18 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v4_yellow18 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v1_yellow21 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v2_yellow21 @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(175,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(176,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(177,plain,
( ( ~ ( v2_setfam_1 @ sK3_A ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(178,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( ( m1_subset_1 @ ( sK2_B @ A ) @ A )
& ~ ( v1_xboole_0 @ ( sK2_B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(179,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
= ( k7_waybel34 @ A ) ) )
& ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
= ( k6_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(180,plain,
( ( ! [A: $i] :
( ( v3_struct_0 @ A )
| ~ ( v2_altcat_1 @ A )
| ~ ( v11_altcat_1 @ A )
| ~ ( v12_altcat_1 @ A )
| ~ ( l2_altcat_1 @ A )
| ! [B: $i] :
( ( v3_struct_0 @ B )
| ~ ( v2_altcat_1 @ B )
| ~ ( v11_altcat_1 @ B )
| ~ ( v12_altcat_1 @ B )
| ~ ( l2_altcat_1 @ B )
| ! [C: $i] :
( ~ ( m2_functor0 @ C @ A @ B )
| ~ ( v16_functor0 @ C @ A @ B )
| ~ ( v21_functor0 @ C @ A @ B )
| ! [D: $i] :
( ( v3_struct_0 @ D )
| ~ ( v2_altcat_1 @ D )
| ~ ( v3_altcat_2 @ D @ A )
| ~ ( m1_altcat_2 @ D @ A )
| ! [E: $i] :
( ( v3_struct_0 @ E )
| ~ ( v2_altcat_1 @ E )
| ~ ( v3_altcat_2 @ E @ B )
| ~ ( m1_altcat_2 @ E @ B )
| ~ ( r3_yellow20 @ A @ B @ C @ D @ E )
| ( r3_yellow20 @ B @ A @ ( k15_functor0 @ A @ B @ C ) @ E @ D ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(181,plain,
( ( ! [A: $i] :
( ( v2_setfam_1 @ A )
| ( r3_yellow20 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k8_waybel34 @ A ) @ ( k9_waybel34 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(182,plain,
( ( ~ ( v2_setfam_1 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(183,plain,
( ( ~ ( r3_yellow20 @ ( k5_waybel34 @ sK1_A ) @ ( k4_waybel34 @ sK1_A ) @ ( k7_waybel34 @ sK1_A ) @ ( k9_waybel34 @ sK1_A ) @ ( k8_waybel34 @ sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(184,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(185,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SX0 ) @ SX0 )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(186,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(187,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(188,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k6_waybel34 @ SX0 ) )
= ( k7_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k7_waybel34 @ SX0 ) )
= ( k6_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(189,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(190,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(191,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(192,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( m1_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(193,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m1_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(194,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(195,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(196,plain,
! [SV1: $i] :
( ( ( v2_setfam_1 @ SV1 )
| ~ ( v1_xboole_0 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(197,plain,
( ( v2_setfam_1 @ sK3_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(198,plain,
! [SV2: $i] :
( ( ( v3_struct_0 @ SV2 )
| ~ ( v2_altcat_1 @ SV2 )
| ~ ( v11_altcat_1 @ SV2 )
| ~ ( v12_altcat_1 @ SV2 )
| ~ ( l2_altcat_1 @ SV2 )
| ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV3: $i] :
( ( ( v2_setfam_1 @ SV3 )
| ( r3_yellow20 @ ( k4_waybel34 @ SV3 ) @ ( k5_waybel34 @ SV3 ) @ ( k6_waybel34 @ SV3 ) @ ( k8_waybel34 @ SV3 ) @ ( k9_waybel34 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(200,plain,
( ( v2_setfam_1 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(201,plain,
( ( r3_yellow20 @ ( k5_waybel34 @ sK1_A ) @ ( k4_waybel34 @ sK1_A ) @ ( k7_waybel34 @ sK1_A ) @ ( k9_waybel34 @ sK1_A ) @ ( k8_waybel34 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(202,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV4: $i] :
( ( ( v2_setfam_1 @ SV4 )
| ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SV4 ) @ SV4 )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(204,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(205,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(206,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k6_waybel34 @ SX0 ) )
= ( k7_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k7_waybel34 @ SX0 ) )
= ( k6_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(207,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(208,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(209,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(210,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( m1_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(211,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m1_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(212,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(213,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV1: $i] :
( ( ( v2_setfam_1 @ SV1 )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v2_altcat_1 @ SV2 )
| ~ ( v11_altcat_1 @ SV2 )
| ~ ( v12_altcat_1 @ SV2 )
| ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(216,plain,
! [SV3: $i] :
( ( ( v2_setfam_1 @ SV3 )
= $true )
| ( ( r3_yellow20 @ ( k4_waybel34 @ SV3 ) @ ( k5_waybel34 @ SV3 ) @ ( k6_waybel34 @ SV3 ) @ ( k8_waybel34 @ SV3 ) @ ( k9_waybel34 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(217,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(218,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(219,plain,
! [SV4: $i] :
( ( ( v2_setfam_1 @ SV4 )
= $true )
| ( ( ~ ( ~ ( m1_subset_1 @ ( sK2_B @ SV4 ) @ SV4 )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(220,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(221,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(222,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(223,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(224,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k6_waybel34 @ SX0 ) )
= ( k7_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(225,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k7_waybel34 @ SX0 ) )
= ( k6_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(226,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(227,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(228,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(229,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(230,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(231,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(232,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(233,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( m1_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(234,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(235,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m1_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(236,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(237,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(238,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(239,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(240,plain,
! [SV1: $i] :
( ( ( v1_xboole_0 @ SV1 )
= $false )
| ( ( v2_setfam_1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(241,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v2_altcat_1 @ SV2 )
| ~ ( v11_altcat_1 @ SV2 )
| ~ ( v12_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(242,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(243,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(244,plain,
! [SV4: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK2_B @ SV4 ) @ SV4 )
| ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV4 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(245,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(246,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(247,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(248,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(249,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k6_waybel34 @ SX0 ) )
= ( k7_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(250,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( ( k15_functor0 @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k7_waybel34 @ SX0 ) )
= ( k6_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(251,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(252,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(253,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(254,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(255,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(256,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m2_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(257,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(258,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( m1_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(259,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(260,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( m1_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(261,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(262,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v21_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(263,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(264,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( l2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(265,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v2_altcat_1 @ SV2 )
| ~ ( v11_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(266,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(267,plain,
! [SV5: $i] :
( ( ( v2_setfam_1 @ SV5 )
| ( v3_yellow21 @ ( k4_waybel34 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(268,plain,
! [SV4: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK2_B @ SV4 ) @ SV4 ) )
= $false )
| ( ( v2_setfam_1 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(269,plain,
! [SV4: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK2_B @ SV4 ) ) )
= $false )
| ( ( v2_setfam_1 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(270,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(271,plain,
! [SV6: $i] :
( ( ( v2_setfam_1 @ SV6 )
| ( m2_functor0 @ ( k7_waybel34 @ SV6 ) @ ( k5_waybel34 @ SV6 ) @ ( k4_waybel34 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(272,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(273,plain,
! [SV7: $i] :
( ( ( v1_xboole_0 @ SV7 )
| ( l2_altcat_1 @ ( k4_waybel34 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(274,plain,
! [SV8: $i] :
( ( ( v2_setfam_1 @ SV8 )
| ( ( k15_functor0 @ ( k4_waybel34 @ SV8 ) @ ( k5_waybel34 @ SV8 ) @ ( k6_waybel34 @ SV8 ) )
= ( k7_waybel34 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(275,plain,
! [SV9: $i] :
( ( ( v2_setfam_1 @ SV9 )
| ( ( k15_functor0 @ ( k5_waybel34 @ SV9 ) @ ( k4_waybel34 @ SV9 ) @ ( k7_waybel34 @ SV9 ) )
= ( k6_waybel34 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(276,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(277,plain,
! [SV10: $i] :
( ( ( v2_setfam_1 @ SV10 )
| ( v3_yellow21 @ ( k5_waybel34 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(278,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(279,plain,
! [SV11: $i] :
( ( ( v2_setfam_1 @ SV11 )
| ( v21_functor0 @ ( k6_waybel34 @ SV11 ) @ ( k4_waybel34 @ SV11 ) @ ( k5_waybel34 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(280,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(281,plain,
! [SV12: $i] :
( ( ( v2_setfam_1 @ SV12 )
| ( m2_functor0 @ ( k6_waybel34 @ SV12 ) @ ( k4_waybel34 @ SV12 ) @ ( k5_waybel34 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(282,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(283,plain,
! [SV13: $i] :
( ( ( v1_xboole_0 @ SV13 )
| ( m1_altcat_2 @ ( k8_waybel34 @ SV13 ) @ ( k4_waybel34 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(284,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(285,plain,
! [SV14: $i] :
( ( ( v2_setfam_1 @ SV14 )
| ( m1_altcat_2 @ ( k9_waybel34 @ SV14 ) @ ( k5_waybel34 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(286,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(287,plain,
! [SV15: $i] :
( ( ( v2_setfam_1 @ SV15 )
| ( v21_functor0 @ ( k7_waybel34 @ SV15 ) @ ( k5_waybel34 @ SV15 ) @ ( k4_waybel34 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(288,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(289,plain,
! [SV16: $i] :
( ( ( v1_xboole_0 @ SV16 )
| ( l2_altcat_1 @ ( k5_waybel34 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(290,plain,
! [SV2: $i] :
( ( ( ( v3_struct_0 @ SV2 )
| ~ ( v2_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v11_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(291,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(292,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(293,plain,
! [SV5: $i] :
( ( ( v2_setfam_1 @ SV5 )
= $true )
| ( ( v3_yellow21 @ ( k4_waybel34 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(294,plain,
! [SV4: $i] :
( ( ( m1_subset_1 @ ( sK2_B @ SV4 ) @ SV4 )
= $true )
| ( ( v2_setfam_1 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(295,plain,
! [SV4: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK2_B @ SV4 ) ) )
= $true )
| ( ( v2_setfam_1 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(296,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(297,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(298,plain,
! [SV6: $i] :
( ( ( v2_setfam_1 @ SV6 )
= $true )
| ( ( m2_functor0 @ ( k7_waybel34 @ SV6 ) @ ( k5_waybel34 @ SV6 ) @ ( k4_waybel34 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(299,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(300,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(301,plain,
! [SV7: $i] :
( ( ( v1_xboole_0 @ SV7 )
= $true )
| ( ( l2_altcat_1 @ ( k4_waybel34 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(302,plain,
! [SV8: $i] :
( ( ( v2_setfam_1 @ SV8 )
= $true )
| ( ( ( k15_functor0 @ ( k4_waybel34 @ SV8 ) @ ( k5_waybel34 @ SV8 ) @ ( k6_waybel34 @ SV8 ) )
= ( k7_waybel34 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(303,plain,
! [SV9: $i] :
( ( ( v2_setfam_1 @ SV9 )
= $true )
| ( ( ( k15_functor0 @ ( k5_waybel34 @ SV9 ) @ ( k4_waybel34 @ SV9 ) @ ( k7_waybel34 @ SV9 ) )
= ( k6_waybel34 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(304,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(305,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(306,plain,
! [SV10: $i] :
( ( ( v2_setfam_1 @ SV10 )
= $true )
| ( ( v3_yellow21 @ ( k5_waybel34 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(307,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(308,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(309,plain,
! [SV11: $i] :
( ( ( v2_setfam_1 @ SV11 )
= $true )
| ( ( v21_functor0 @ ( k6_waybel34 @ SV11 ) @ ( k4_waybel34 @ SV11 ) @ ( k5_waybel34 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(310,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(311,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(312,plain,
! [SV12: $i] :
( ( ( v2_setfam_1 @ SV12 )
= $true )
| ( ( m2_functor0 @ ( k6_waybel34 @ SV12 ) @ ( k4_waybel34 @ SV12 ) @ ( k5_waybel34 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(313,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(314,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(315,plain,
! [SV13: $i] :
( ( ( v1_xboole_0 @ SV13 )
= $true )
| ( ( m1_altcat_2 @ ( k8_waybel34 @ SV13 ) @ ( k4_waybel34 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(316,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(317,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(318,plain,
! [SV14: $i] :
( ( ( v2_setfam_1 @ SV14 )
= $true )
| ( ( m1_altcat_2 @ ( k9_waybel34 @ SV14 ) @ ( k5_waybel34 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(319,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(320,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(321,plain,
! [SV15: $i] :
( ( ( v2_setfam_1 @ SV15 )
= $true )
| ( ( v21_functor0 @ ( k7_waybel34 @ SV15 ) @ ( k5_waybel34 @ SV15 ) @ ( k4_waybel34 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(322,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(323,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(324,plain,
! [SV16: $i] :
( ( ( v1_xboole_0 @ SV16 )
= $true )
| ( ( l2_altcat_1 @ ( k5_waybel34 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(325,plain,
! [SV2: $i] :
( ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( ~ ( v2_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v11_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(326,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(327,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(328,plain,
! [SV4: $i] :
( ( ( v1_xboole_0 @ ( sK2_B @ SV4 ) )
= $false )
| ( ( v2_setfam_1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(329,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(330,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(331,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(332,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(333,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(334,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(335,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(336,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(337,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(338,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(339,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(340,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(341,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(342,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(343,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(344,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v16_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(345,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(346,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(347,plain,
! [SV2: $i] :
( ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( ~ ( v11_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(348,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(349,plain,
! [SV17: $i] :
( ( ( v2_setfam_1 @ SV17 )
| ( v2_yellow21 @ ( k4_waybel34 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(350,plain,
! [SV18: $i] :
( ( ( v2_setfam_1 @ SV18 )
| ( v16_functor0 @ ( k7_waybel34 @ SV18 ) @ ( k5_waybel34 @ SV18 ) @ ( k4_waybel34 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(351,plain,
! [SV19: $i] :
( ( ( v2_setfam_1 @ SV19 )
| ( v9_functor0 @ ( k7_waybel34 @ SV19 ) @ ( k5_waybel34 @ SV19 ) @ ( k4_waybel34 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(352,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(353,plain,
! [SV20: $i] :
( ( ( v1_xboole_0 @ SV20 )
| ( v2_yellow21 @ ( k4_waybel34 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(354,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(355,plain,
! [SV21: $i] :
( ( ( v2_setfam_1 @ SV21 )
| ( v2_yellow21 @ ( k5_waybel34 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(356,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(357,plain,
! [SV22: $i] :
( ( ( v2_setfam_1 @ SV22 )
| ( v16_functor0 @ ( k6_waybel34 @ SV22 ) @ ( k4_waybel34 @ SV22 ) @ ( k5_waybel34 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(358,plain,
! [SV23: $i] :
( ( ( v2_setfam_1 @ SV23 )
| ( v16_functor0 @ ( k6_waybel34 @ SV23 ) @ ( k4_waybel34 @ SV23 ) @ ( k5_waybel34 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(359,plain,
! [SV24: $i] :
( ( ( v2_setfam_1 @ SV24 )
| ( v9_functor0 @ ( k6_waybel34 @ SV24 ) @ ( k4_waybel34 @ SV24 ) @ ( k5_waybel34 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(360,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(361,plain,
! [SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
| ( v3_altcat_2 @ ( k8_waybel34 @ SV25 ) @ ( k4_waybel34 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(362,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(363,plain,
! [SV26: $i] :
( ( ( v2_setfam_1 @ SV26 )
| ( v3_altcat_2 @ ( k9_waybel34 @ SV26 ) @ ( k5_waybel34 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(364,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(365,plain,
! [SV27: $i] :
( ( ( v2_setfam_1 @ SV27 )
| ( v16_functor0 @ ( k7_waybel34 @ SV27 ) @ ( k5_waybel34 @ SV27 ) @ ( k4_waybel34 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(366,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(367,plain,
! [SV28: $i] :
( ( ( v1_xboole_0 @ SV28 )
| ( v2_yellow21 @ ( k5_waybel34 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(368,plain,
! [SV2: $i] :
( ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( ~ ( v12_altcat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(369,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(370,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(371,plain,
! [SV17: $i] :
( ( ( v2_setfam_1 @ SV17 )
= $true )
| ( ( v2_yellow21 @ ( k4_waybel34 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(372,plain,
! [SV18: $i] :
( ( ( v2_setfam_1 @ SV18 )
= $true )
| ( ( v16_functor0 @ ( k7_waybel34 @ SV18 ) @ ( k5_waybel34 @ SV18 ) @ ( k4_waybel34 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(373,plain,
! [SV19: $i] :
( ( ( v2_setfam_1 @ SV19 )
= $true )
| ( ( v9_functor0 @ ( k7_waybel34 @ SV19 ) @ ( k5_waybel34 @ SV19 ) @ ( k4_waybel34 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(374,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(375,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(376,plain,
! [SV20: $i] :
( ( ( v1_xboole_0 @ SV20 )
= $true )
| ( ( v2_yellow21 @ ( k4_waybel34 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(377,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(378,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(379,plain,
! [SV21: $i] :
( ( ( v2_setfam_1 @ SV21 )
= $true )
| ( ( v2_yellow21 @ ( k5_waybel34 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(380,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(381,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(382,plain,
! [SV22: $i] :
( ( ( v2_setfam_1 @ SV22 )
= $true )
| ( ( v16_functor0 @ ( k6_waybel34 @ SV22 ) @ ( k4_waybel34 @ SV22 ) @ ( k5_waybel34 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(383,plain,
! [SV23: $i] :
( ( ( v2_setfam_1 @ SV23 )
= $true )
| ( ( v16_functor0 @ ( k6_waybel34 @ SV23 ) @ ( k4_waybel34 @ SV23 ) @ ( k5_waybel34 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(384,plain,
! [SV24: $i] :
( ( ( v2_setfam_1 @ SV24 )
= $true )
| ( ( v9_functor0 @ ( k6_waybel34 @ SV24 ) @ ( k4_waybel34 @ SV24 ) @ ( k5_waybel34 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(385,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(386,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(387,plain,
! [SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
= $true )
| ( ( v3_altcat_2 @ ( k8_waybel34 @ SV25 ) @ ( k4_waybel34 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(388,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(389,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(390,plain,
! [SV26: $i] :
( ( ( v2_setfam_1 @ SV26 )
= $true )
| ( ( v3_altcat_2 @ ( k9_waybel34 @ SV26 ) @ ( k5_waybel34 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(391,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(392,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(393,plain,
! [SV27: $i] :
( ( ( v2_setfam_1 @ SV27 )
= $true )
| ( ( v16_functor0 @ ( k7_waybel34 @ SV27 ) @ ( k5_waybel34 @ SV27 ) @ ( k4_waybel34 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(394,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(395,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(396,plain,
! [SV28: $i] :
( ( ( v1_xboole_0 @ SV28 )
= $true )
| ( ( v2_yellow21 @ ( k5_waybel34 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(397,plain,
! [SV2: $i] :
( ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( ~ ( l2_altcat_1 @ SV2 ) )
= $true )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(398,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(399,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(400,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(401,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(402,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(403,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_yellow21 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(404,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(405,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(406,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(407,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(408,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(409,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(410,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(411,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v14_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(412,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(413,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(414,plain,
! [SV2: $i] :
( ( ( l2_altcat_1 @ SV2 )
= $false )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( ! [SY441: $i] :
( ( v3_struct_0 @ SY441 )
| ~ ( v2_altcat_1 @ SY441 )
| ~ ( v11_altcat_1 @ SY441 )
| ~ ( v12_altcat_1 @ SY441 )
| ~ ( l2_altcat_1 @ SY441 )
| ! [SY442: $i] :
( ~ ( m2_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v16_functor0 @ SY442 @ SV2 @ SY441 )
| ~ ( v21_functor0 @ SY442 @ SV2 @ SY441 )
| ! [SY443: $i] :
( ( v3_struct_0 @ SY443 )
| ~ ( v2_altcat_1 @ SY443 )
| ~ ( v3_altcat_2 @ SY443 @ SV2 )
| ~ ( m1_altcat_2 @ SY443 @ SV2 )
| ! [SY444: $i] :
( ( v3_struct_0 @ SY444 )
| ~ ( v2_altcat_1 @ SY444 )
| ~ ( v3_altcat_2 @ SY444 @ SY441 )
| ~ ( m1_altcat_2 @ SY444 @ SY441 )
| ~ ( r3_yellow20 @ SV2 @ SY441 @ SY442 @ SY443 @ SY444 )
| ( r3_yellow20 @ SY441 @ SV2 @ ( k15_functor0 @ SV2 @ SY441 @ SY442 ) @ SY444 @ SY443 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(415,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(416,plain,
! [SV29: $i] :
( ( ( v2_setfam_1 @ SV29 )
| ( v1_yellow21 @ ( k4_waybel34 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(417,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(418,plain,
! [SV30: $i] :
( ( ( v1_xboole_0 @ SV30 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(419,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(420,plain,
! [SV31: $i] :
( ( ( v2_setfam_1 @ SV31 )
| ( v1_yellow21 @ ( k5_waybel34 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(421,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(422,plain,
! [SV32: $i] :
( ( ( v2_setfam_1 @ SV32 )
| ( v14_functor0 @ ( k6_waybel34 @ SV32 ) @ ( k4_waybel34 @ SV32 ) @ ( k5_waybel34 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(423,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(424,plain,
! [SV33: $i] :
( ( ( v1_xboole_0 @ SV33 )
| ( v6_altcat_1 @ ( k8_waybel34 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(425,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(426,plain,
! [SV34: $i] :
( ( ( v2_setfam_1 @ SV34 )
| ( v6_altcat_1 @ ( k9_waybel34 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(427,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(428,plain,
! [SV35: $i] :
( ( ( v2_setfam_1 @ SV35 )
| ( v14_functor0 @ ( k7_waybel34 @ SV35 ) @ ( k5_waybel34 @ SV35 ) @ ( k4_waybel34 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(429,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(430,plain,
! [SV36: $i] :
( ( ( v1_xboole_0 @ SV36 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(431,plain,
! [SV2: $i,SV37: $i] :
( ( ( ( v3_struct_0 @ SV37 )
| ~ ( v2_altcat_1 @ SV37 )
| ~ ( v11_altcat_1 @ SV37 )
| ~ ( v12_altcat_1 @ SV37 )
| ~ ( l2_altcat_1 @ SV37 )
| ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(432,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(433,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(434,plain,
! [SV29: $i] :
( ( ( v2_setfam_1 @ SV29 )
= $true )
| ( ( v1_yellow21 @ ( k4_waybel34 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(435,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(436,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(437,plain,
! [SV30: $i] :
( ( ( v1_xboole_0 @ SV30 )
= $true )
| ( ( v12_altcat_1 @ ( k4_waybel34 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(438,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(439,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(440,plain,
! [SV31: $i] :
( ( ( v2_setfam_1 @ SV31 )
= $true )
| ( ( v1_yellow21 @ ( k5_waybel34 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(441,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(442,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(443,plain,
! [SV32: $i] :
( ( ( v2_setfam_1 @ SV32 )
= $true )
| ( ( v14_functor0 @ ( k6_waybel34 @ SV32 ) @ ( k4_waybel34 @ SV32 ) @ ( k5_waybel34 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(444,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(445,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(446,plain,
! [SV33: $i] :
( ( ( v1_xboole_0 @ SV33 )
= $true )
| ( ( v6_altcat_1 @ ( k8_waybel34 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(447,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(448,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(449,plain,
! [SV34: $i] :
( ( ( v2_setfam_1 @ SV34 )
= $true )
| ( ( v6_altcat_1 @ ( k9_waybel34 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(450,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(451,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(452,plain,
! [SV35: $i] :
( ( ( v2_setfam_1 @ SV35 )
= $true )
| ( ( v14_functor0 @ ( k7_waybel34 @ SV35 ) @ ( k5_waybel34 @ SV35 ) @ ( k4_waybel34 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(453,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(454,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(455,plain,
! [SV36: $i] :
( ( ( v1_xboole_0 @ SV36 )
= $true )
| ( ( v12_altcat_1 @ ( k5_waybel34 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(456,plain,
! [SV2: $i,SV37: $i] :
( ( ( ( v3_struct_0 @ SV37 )
| ~ ( v2_altcat_1 @ SV37 )
| ~ ( v11_altcat_1 @ SV37 )
| ~ ( v12_altcat_1 @ SV37 )
| ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(457,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(458,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(459,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(460,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(461,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(462,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v4_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(463,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(464,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(465,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(466,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(467,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(468,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(469,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(470,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(471,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(472,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(473,plain,
! [SV2: $i,SV37: $i] :
( ( ( ( v3_struct_0 @ SV37 )
| ~ ( v2_altcat_1 @ SV37 )
| ~ ( v11_altcat_1 @ SV37 )
| ~ ( v12_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(474,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(475,plain,
! [SV38: $i] :
( ( ( v2_setfam_1 @ SV38 )
| ( v4_yellow18 @ ( k4_waybel34 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(476,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(477,plain,
! [SV39: $i] :
( ( ( v1_xboole_0 @ SV39 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(478,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(479,plain,
! [SV40: $i] :
( ( ( v2_setfam_1 @ SV40 )
| ( v4_yellow18 @ ( k5_waybel34 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(480,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(481,plain,
! [SV41: $i] :
( ( ( v2_setfam_1 @ SV41 )
| ( v12_functor0 @ ( k6_waybel34 @ SV41 ) @ ( k4_waybel34 @ SV41 ) @ ( k5_waybel34 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(482,plain,
! [SV42: $i] :
( ( ( v1_xboole_0 @ SV42 )
| ~ ( v3_struct_0 @ ( k8_waybel34 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(483,plain,
! [SV43: $i] :
( ( ( v1_xboole_0 @ SV43 )
| ( v2_altcat_1 @ ( k8_waybel34 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(484,plain,
! [SV44: $i] :
( ( ( v2_setfam_1 @ SV44 )
| ~ ( v3_struct_0 @ ( k9_waybel34 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(485,plain,
! [SV45: $i] :
( ( ( v2_setfam_1 @ SV45 )
| ( v2_altcat_1 @ ( k9_waybel34 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(486,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(487,plain,
! [SV46: $i] :
( ( ( v2_setfam_1 @ SV46 )
| ( v12_functor0 @ ( k7_waybel34 @ SV46 ) @ ( k5_waybel34 @ SV46 ) @ ( k4_waybel34 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(488,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(489,plain,
! [SV47: $i] :
( ( ( v1_xboole_0 @ SV47 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(490,plain,
! [SV2: $i,SV37: $i] :
( ( ( ( v3_struct_0 @ SV37 )
| ~ ( v2_altcat_1 @ SV37 )
| ~ ( v11_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(491,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(492,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(493,plain,
! [SV38: $i] :
( ( ( v2_setfam_1 @ SV38 )
= $true )
| ( ( v4_yellow18 @ ( k4_waybel34 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(494,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(495,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(496,plain,
! [SV39: $i] :
( ( ( v1_xboole_0 @ SV39 )
= $true )
| ( ( v11_altcat_1 @ ( k4_waybel34 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(497,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(498,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(499,plain,
! [SV40: $i] :
( ( ( v2_setfam_1 @ SV40 )
= $true )
| ( ( v4_yellow18 @ ( k5_waybel34 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(500,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(501,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(502,plain,
! [SV41: $i] :
( ( ( v2_setfam_1 @ SV41 )
= $true )
| ( ( v12_functor0 @ ( k6_waybel34 @ SV41 ) @ ( k4_waybel34 @ SV41 ) @ ( k5_waybel34 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(503,plain,
! [SV42: $i] :
( ( ( v1_xboole_0 @ SV42 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k8_waybel34 @ SV42 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(504,plain,
! [SV43: $i] :
( ( ( v1_xboole_0 @ SV43 )
= $true )
| ( ( v2_altcat_1 @ ( k8_waybel34 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(505,plain,
! [SV44: $i] :
( ( ( v2_setfam_1 @ SV44 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k9_waybel34 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(506,plain,
! [SV45: $i] :
( ( ( v2_setfam_1 @ SV45 )
= $true )
| ( ( v2_altcat_1 @ ( k9_waybel34 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(507,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(508,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(509,plain,
! [SV46: $i] :
( ( ( v2_setfam_1 @ SV46 )
= $true )
| ( ( v12_functor0 @ ( k7_waybel34 @ SV46 ) @ ( k5_waybel34 @ SV46 ) @ ( k4_waybel34 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(510,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(511,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(512,plain,
! [SV47: $i] :
( ( ( v1_xboole_0 @ SV47 )
= $true )
| ( ( v11_altcat_1 @ ( k5_waybel34 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(513,plain,
! [SV2: $i,SV37: $i] :
( ( ( ( v3_struct_0 @ SV37 )
| ~ ( v2_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( v11_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(514,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(515,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(516,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(517,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(518,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(519,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v3_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(520,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(521,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(522,plain,
! [SV42: $i] :
( ( ( v3_struct_0 @ ( k8_waybel34 @ SV42 ) )
= $false )
| ( ( v1_xboole_0 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(523,plain,
! [SV44: $i] :
( ( ( v3_struct_0 @ ( k9_waybel34 @ SV44 ) )
= $false )
| ( ( v2_setfam_1 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(524,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(525,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(526,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(527,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(528,plain,
! [SV2: $i,SV37: $i] :
( ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( ~ ( v2_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( v11_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(529,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(530,plain,
! [SV48: $i] :
( ( ( v2_setfam_1 @ SV48 )
| ( v3_yellow18 @ ( k4_waybel34 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(531,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(532,plain,
! [SV49: $i] :
( ( ( v1_xboole_0 @ SV49 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(533,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(534,plain,
! [SV50: $i] :
( ( ( v2_setfam_1 @ SV50 )
| ( v3_yellow18 @ ( k5_waybel34 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(535,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(536,plain,
! [SV51: $i] :
( ( ( v2_setfam_1 @ SV51 )
| ( v11_functor0 @ ( k6_waybel34 @ SV51 ) @ ( k4_waybel34 @ SV51 ) @ ( k5_waybel34 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(537,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(538,plain,
! [SV52: $i] :
( ( ( v2_setfam_1 @ SV52 )
| ( v11_functor0 @ ( k7_waybel34 @ SV52 ) @ ( k5_waybel34 @ SV52 ) @ ( k4_waybel34 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(539,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(540,plain,
! [SV53: $i] :
( ( ( v1_xboole_0 @ SV53 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(541,plain,
! [SV2: $i,SV37: $i] :
( ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( ~ ( v11_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( v12_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(542,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(543,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(544,plain,
! [SV48: $i] :
( ( ( v2_setfam_1 @ SV48 )
= $true )
| ( ( v3_yellow18 @ ( k4_waybel34 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(545,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(546,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(547,plain,
! [SV49: $i] :
( ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( v6_altcat_1 @ ( k4_waybel34 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(548,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(549,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(550,plain,
! [SV50: $i] :
( ( ( v2_setfam_1 @ SV50 )
= $true )
| ( ( v3_yellow18 @ ( k5_waybel34 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(551,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(552,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(553,plain,
! [SV51: $i] :
( ( ( v2_setfam_1 @ SV51 )
= $true )
| ( ( v11_functor0 @ ( k6_waybel34 @ SV51 ) @ ( k4_waybel34 @ SV51 ) @ ( k5_waybel34 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(554,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(555,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(556,plain,
! [SV52: $i] :
( ( ( v2_setfam_1 @ SV52 )
= $true )
| ( ( v11_functor0 @ ( k7_waybel34 @ SV52 ) @ ( k5_waybel34 @ SV52 ) @ ( k4_waybel34 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(557,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(558,plain,
( ( ~ ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(559,plain,
! [SV53: $i] :
( ( ( v1_xboole_0 @ SV53 )
= $true )
| ( ( v6_altcat_1 @ ( k5_waybel34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(560,plain,
! [SV2: $i,SV37: $i] :
( ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( ~ ( v12_altcat_1 @ SV37 ) )
= $true )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(561,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(562,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(563,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(564,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(565,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(566,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_yellow18 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(567,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(568,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(569,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(570,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(571,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(572,plain,
( ( ! [SX0: $i] :
( ( v1_xboole_0 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(573,plain,
! [SV2: $i,SV37: $i] :
( ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( ~ ( l2_altcat_1 @ SV37 ) )
= $true )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(574,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(575,plain,
! [SV54: $i] :
( ( ( v2_setfam_1 @ SV54 )
| ( v2_yellow18 @ ( k4_waybel34 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(576,plain,
! [SV55: $i] :
( ( ( v1_xboole_0 @ SV55 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(577,plain,
! [SV56: $i] :
( ( ( v1_xboole_0 @ SV56 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(578,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(579,plain,
! [SV57: $i] :
( ( ( v2_setfam_1 @ SV57 )
| ( v2_yellow18 @ ( k5_waybel34 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(580,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(581,plain,
! [SV58: $i] :
( ( ( v2_setfam_1 @ SV58 )
| ( v9_functor0 @ ( k6_waybel34 @ SV58 ) @ ( k4_waybel34 @ SV58 ) @ ( k5_waybel34 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(582,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(583,plain,
! [SV59: $i] :
( ( ( v2_setfam_1 @ SV59 )
| ( v9_functor0 @ ( k7_waybel34 @ SV59 ) @ ( k5_waybel34 @ SV59 ) @ ( k4_waybel34 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(584,plain,
! [SV60: $i] :
( ( ( v1_xboole_0 @ SV60 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(585,plain,
! [SV61: $i] :
( ( ( v1_xboole_0 @ SV61 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(586,plain,
! [SV2: $i,SV37: $i] :
( ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( ! [SY445: $i] :
( ~ ( m2_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SY445 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SY445 @ SV2 @ SV37 )
| ! [SY446: $i] :
( ( v3_struct_0 @ SY446 )
| ~ ( v2_altcat_1 @ SY446 )
| ~ ( v3_altcat_2 @ SY446 @ SV2 )
| ~ ( m1_altcat_2 @ SY446 @ SV2 )
| ! [SY447: $i] :
( ( v3_struct_0 @ SY447 )
| ~ ( v2_altcat_1 @ SY447 )
| ~ ( v3_altcat_2 @ SY447 @ SV37 )
| ~ ( m1_altcat_2 @ SY447 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SY445 @ SY446 @ SY447 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SY445 ) @ SY447 @ SY446 ) ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(587,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(588,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(589,plain,
! [SV54: $i] :
( ( ( v2_setfam_1 @ SV54 )
= $true )
| ( ( v2_yellow18 @ ( k4_waybel34 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(590,plain,
! [SV55: $i] :
( ( ( v1_xboole_0 @ SV55 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k4_waybel34 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(591,plain,
! [SV56: $i] :
( ( ( v1_xboole_0 @ SV56 )
= $true )
| ( ( v2_altcat_1 @ ( k4_waybel34 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(592,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(593,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(594,plain,
! [SV57: $i] :
( ( ( v2_setfam_1 @ SV57 )
= $true )
| ( ( v2_yellow18 @ ( k5_waybel34 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(595,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(596,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(597,plain,
! [SV58: $i] :
( ( ( v2_setfam_1 @ SV58 )
= $true )
| ( ( v9_functor0 @ ( k6_waybel34 @ SV58 ) @ ( k4_waybel34 @ SV58 ) @ ( k5_waybel34 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(598,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(599,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(600,plain,
! [SV59: $i] :
( ( ( v2_setfam_1 @ SV59 )
= $true )
| ( ( v9_functor0 @ ( k7_waybel34 @ SV59 ) @ ( k5_waybel34 @ SV59 ) @ ( k4_waybel34 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(601,plain,
! [SV60: $i] :
( ( ( v1_xboole_0 @ SV60 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k5_waybel34 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(602,plain,
! [SV61: $i] :
( ( ( v1_xboole_0 @ SV61 )
= $true )
| ( ( v2_altcat_1 @ ( k5_waybel34 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(603,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( ~ ( m2_functor0 @ SV62 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SV62 @ SV2 @ SV37 )
| ~ ( v21_functor0 @ SV62 @ SV2 @ SV37 )
| ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(604,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(605,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(606,plain,
! [SV55: $i] :
( ( ( v3_struct_0 @ ( k4_waybel34 @ SV55 ) )
= $false )
| ( ( v1_xboole_0 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(607,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(608,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(609,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(610,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k6_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(611,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(612,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v8_functor0 @ ( k7_waybel34 @ SX0 ) @ ( k5_waybel34 @ SX0 ) @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(613,plain,
! [SV60: $i] :
( ( ( v3_struct_0 @ ( k5_waybel34 @ SV60 ) )
= $false )
| ( ( v1_xboole_0 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(614,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( ~ ( m2_functor0 @ SV62 @ SV2 @ SV37 )
| ~ ( v16_functor0 @ SV62 @ SV2 @ SV37 ) )
= $true )
| ( ( ~ ( v21_functor0 @ SV62 @ SV2 @ SV37 )
| ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(615,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(616,plain,
! [SV63: $i] :
( ( ( v2_setfam_1 @ SV63 )
| ( v1_altcat_2 @ ( k4_waybel34 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(617,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(618,plain,
! [SV64: $i] :
( ( ( v2_setfam_1 @ SV64 )
| ( v1_altcat_2 @ ( k5_waybel34 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(619,plain,
! [SV65: $i] :
( ( ( v2_setfam_1 @ SV65 )
| ( v6_functor0 @ ( k6_waybel34 @ SV65 ) @ ( k4_waybel34 @ SV65 ) @ ( k5_waybel34 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(620,plain,
! [SV66: $i] :
( ( ( v2_setfam_1 @ SV66 )
| ( v8_functor0 @ ( k6_waybel34 @ SV66 ) @ ( k4_waybel34 @ SV66 ) @ ( k5_waybel34 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(621,plain,
! [SV67: $i] :
( ( ( v2_setfam_1 @ SV67 )
| ( v6_functor0 @ ( k7_waybel34 @ SV67 ) @ ( k5_waybel34 @ SV67 ) @ ( k4_waybel34 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(622,plain,
! [SV68: $i] :
( ( ( v2_setfam_1 @ SV68 )
| ( v8_functor0 @ ( k7_waybel34 @ SV68 ) @ ( k5_waybel34 @ SV68 ) @ ( k4_waybel34 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(623,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( ~ ( m2_functor0 @ SV62 @ SV2 @ SV37 ) )
= $true )
| ( ( ~ ( v16_functor0 @ SV62 @ SV2 @ SV37 ) )
= $true )
| ( ( ~ ( v21_functor0 @ SV62 @ SV2 @ SV37 )
| ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(624,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(625,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(626,plain,
! [SV63: $i] :
( ( ( v2_setfam_1 @ SV63 )
= $true )
| ( ( v1_altcat_2 @ ( k4_waybel34 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(627,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(628,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(629,plain,
! [SV64: $i] :
( ( ( v2_setfam_1 @ SV64 )
= $true )
| ( ( v1_altcat_2 @ ( k5_waybel34 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(630,plain,
! [SV65: $i] :
( ( ( v2_setfam_1 @ SV65 )
= $true )
| ( ( v6_functor0 @ ( k6_waybel34 @ SV65 ) @ ( k4_waybel34 @ SV65 ) @ ( k5_waybel34 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(631,plain,
! [SV66: $i] :
( ( ( v2_setfam_1 @ SV66 )
= $true )
| ( ( v8_functor0 @ ( k6_waybel34 @ SV66 ) @ ( k4_waybel34 @ SV66 ) @ ( k5_waybel34 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(632,plain,
! [SV67: $i] :
( ( ( v2_setfam_1 @ SV67 )
= $true )
| ( ( v6_functor0 @ ( k7_waybel34 @ SV67 ) @ ( k5_waybel34 @ SV67 ) @ ( k4_waybel34 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(633,plain,
! [SV68: $i] :
( ( ( v2_setfam_1 @ SV68 )
= $true )
| ( ( v8_functor0 @ ( k7_waybel34 @ SV68 ) @ ( k5_waybel34 @ SV68 ) @ ( k4_waybel34 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(634,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( ~ ( v16_functor0 @ SV62 @ SV2 @ SV37 ) )
= $true )
| ( ( ~ ( v21_functor0 @ SV62 @ SV2 @ SV37 )
| ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(635,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(636,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(637,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(638,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(639,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( ~ ( v21_functor0 @ SV62 @ SV2 @ SV37 )
| ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(640,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(641,plain,
! [SV69: $i] :
( ( ( v2_setfam_1 @ SV69 )
| ( v12_altcat_1 @ ( k4_waybel34 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(642,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(643,plain,
! [SV70: $i] :
( ( ( v2_setfam_1 @ SV70 )
| ( v12_altcat_1 @ ( k5_waybel34 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(644,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( ~ ( v21_functor0 @ SV62 @ SV2 @ SV37 ) )
= $true )
| ( ( ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(645,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(646,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(647,plain,
! [SV69: $i] :
( ( ( v2_setfam_1 @ SV69 )
= $true )
| ( ( v12_altcat_1 @ ( k4_waybel34 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(648,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(649,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(650,plain,
! [SV70: $i] :
( ( ( v2_setfam_1 @ SV70 )
= $true )
| ( ( v12_altcat_1 @ ( k5_waybel34 @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(651,plain,
! [SV37: $i,SV2: $i,SV62: $i] :
( ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( ! [SY448: $i] :
( ( v3_struct_0 @ SY448 )
| ~ ( v2_altcat_1 @ SY448 )
| ~ ( v3_altcat_2 @ SY448 @ SV2 )
| ~ ( m1_altcat_2 @ SY448 @ SV2 )
| ! [SY449: $i] :
( ( v3_struct_0 @ SY449 )
| ~ ( v2_altcat_1 @ SY449 )
| ~ ( v3_altcat_2 @ SY449 @ SV37 )
| ~ ( m1_altcat_2 @ SY449 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SY448 @ SY449 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY449 @ SY448 ) ) ) )
= $true )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(652,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(653,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(654,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(655,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(656,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( ( v3_struct_0 @ SV71 )
| ~ ( v2_altcat_1 @ SV71 )
| ~ ( v3_altcat_2 @ SV71 @ SV2 )
| ~ ( m1_altcat_2 @ SV71 @ SV2 )
| ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(657,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(658,plain,
! [SV72: $i] :
( ( ( v2_setfam_1 @ SV72 )
| ( v11_altcat_1 @ ( k4_waybel34 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(659,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(660,plain,
! [SV73: $i] :
( ( ( v2_setfam_1 @ SV73 )
| ( v11_altcat_1 @ ( k5_waybel34 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(661,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( ( v3_struct_0 @ SV71 )
| ~ ( v2_altcat_1 @ SV71 )
| ~ ( v3_altcat_2 @ SV71 @ SV2 )
| ~ ( m1_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(662,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(663,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(664,plain,
! [SV72: $i] :
( ( ( v2_setfam_1 @ SV72 )
= $true )
| ( ( v11_altcat_1 @ ( k4_waybel34 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(665,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(666,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(667,plain,
! [SV73: $i] :
( ( ( v2_setfam_1 @ SV73 )
= $true )
| ( ( v11_altcat_1 @ ( k5_waybel34 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(668,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( ( v3_struct_0 @ SV71 )
| ~ ( v2_altcat_1 @ SV71 )
| ~ ( v3_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(669,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(670,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(671,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(672,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(673,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( ( v3_struct_0 @ SV71 )
| ~ ( v2_altcat_1 @ SV71 ) )
= $true )
| ( ( ~ ( v3_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(674,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(675,plain,
! [SV74: $i] :
( ( ( v2_setfam_1 @ SV74 )
| ( v9_altcat_1 @ ( k4_waybel34 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(676,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(677,plain,
! [SV75: $i] :
( ( ( v2_setfam_1 @ SV75 )
| ( v9_altcat_1 @ ( k5_waybel34 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(678,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( ~ ( v2_altcat_1 @ SV71 ) )
= $true )
| ( ( ~ ( v3_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(679,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(680,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(681,plain,
! [SV74: $i] :
( ( ( v2_setfam_1 @ SV74 )
= $true )
| ( ( v9_altcat_1 @ ( k4_waybel34 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(682,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(683,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(684,plain,
! [SV75: $i] :
( ( ( v2_setfam_1 @ SV75 )
= $true )
| ( ( v9_altcat_1 @ ( k5_waybel34 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(685,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( ~ ( v3_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(686,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(687,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(688,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(689,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(690,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( ~ ( m1_altcat_2 @ SV71 @ SV2 ) )
= $true )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(691,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(692,plain,
! [SV76: $i] :
( ( ( v2_setfam_1 @ SV76 )
| ( v6_altcat_1 @ ( k4_waybel34 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(693,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(694,plain,
! [SV77: $i] :
( ( ( v2_setfam_1 @ SV77 )
| ( v6_altcat_1 @ ( k5_waybel34 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(695,plain,
! [SV62: $i,SV37: $i,SV2: $i,SV71: $i] :
( ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( ! [SY450: $i] :
( ( v3_struct_0 @ SY450 )
| ~ ( v2_altcat_1 @ SY450 )
| ~ ( v3_altcat_2 @ SY450 @ SV37 )
| ~ ( m1_altcat_2 @ SY450 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SY450 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SY450 @ SV71 ) ) )
= $true )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(696,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(697,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(698,plain,
! [SV76: $i] :
( ( ( v2_setfam_1 @ SV76 )
= $true )
| ( ( v6_altcat_1 @ ( k4_waybel34 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(699,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(700,plain,
( ( ~ ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(701,plain,
! [SV77: $i] :
( ( ( v2_setfam_1 @ SV77 )
= $true )
| ( ( v6_altcat_1 @ ( k5_waybel34 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(702,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( ( v3_struct_0 @ SV78 )
| ~ ( v2_altcat_1 @ SV78 )
| ~ ( v3_altcat_2 @ SV78 @ SV37 )
| ~ ( m1_altcat_2 @ SV78 @ SV37 )
| ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(703,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(704,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(705,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(706,plain,
( ( ! [SX0: $i] :
( ( v2_setfam_1 @ SX0 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(707,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( ( v3_struct_0 @ SV78 )
| ~ ( v2_altcat_1 @ SV78 )
| ~ ( v3_altcat_2 @ SV78 @ SV37 )
| ~ ( m1_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(708,plain,
! [SV79: $i] :
( ( ( v2_setfam_1 @ SV79 )
| ~ ( v3_struct_0 @ ( k4_waybel34 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(709,plain,
! [SV80: $i] :
( ( ( v2_setfam_1 @ SV80 )
| ( v2_altcat_1 @ ( k4_waybel34 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(710,plain,
! [SV81: $i] :
( ( ( v2_setfam_1 @ SV81 )
| ~ ( v3_struct_0 @ ( k5_waybel34 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(711,plain,
! [SV82: $i] :
( ( ( v2_setfam_1 @ SV82 )
| ( v2_altcat_1 @ ( k5_waybel34 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(712,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( ( v3_struct_0 @ SV78 )
| ~ ( v2_altcat_1 @ SV78 )
| ~ ( v3_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(713,plain,
! [SV79: $i] :
( ( ( v2_setfam_1 @ SV79 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k4_waybel34 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(714,plain,
! [SV80: $i] :
( ( ( v2_setfam_1 @ SV80 )
= $true )
| ( ( v2_altcat_1 @ ( k4_waybel34 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(715,plain,
! [SV81: $i] :
( ( ( v2_setfam_1 @ SV81 )
= $true )
| ( ( ~ ( v3_struct_0 @ ( k5_waybel34 @ SV81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(716,plain,
! [SV82: $i] :
( ( ( v2_setfam_1 @ SV82 )
= $true )
| ( ( v2_altcat_1 @ ( k5_waybel34 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(717,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( ( v3_struct_0 @ SV78 )
| ~ ( v2_altcat_1 @ SV78 ) )
= $true )
| ( ( ~ ( v3_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(718,plain,
! [SV79: $i] :
( ( ( v3_struct_0 @ ( k4_waybel34 @ SV79 ) )
= $false )
| ( ( v2_setfam_1 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(719,plain,
! [SV81: $i] :
( ( ( v3_struct_0 @ ( k5_waybel34 @ SV81 ) )
= $false )
| ( ( v2_setfam_1 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(720,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( ~ ( v2_altcat_1 @ SV78 ) )
= $true )
| ( ( ~ ( v3_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(721,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( v2_altcat_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( ~ ( v3_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( m1_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(722,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( v3_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( v2_altcat_1 @ SV78 )
= $false )
| ( ( ~ ( m1_altcat_2 @ SV78 @ SV37 ) )
= $true )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(723,plain,
! [SV71: $i,SV62: $i,SV2: $i,SV37: $i,SV78: $i] :
( ( ( m1_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV78 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( v3_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
| ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 ) )
= $true )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(724,plain,
! [SV78: $i,SV71: $i,SV62: $i,SV37: $i,SV2: $i] :
( ( ( ~ ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 ) )
= $true )
| ( ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 )
= $true )
| ( ( v3_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( v2_altcat_1 @ SV78 )
= $false )
| ( ( m1_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(725,plain,
! [SV78: $i,SV71: $i,SV62: $i,SV37: $i,SV2: $i] :
( ( ( r3_yellow20 @ SV2 @ SV37 @ SV62 @ SV71 @ SV78 )
= $false )
| ( ( r3_yellow20 @ SV37 @ SV2 @ ( k15_functor0 @ SV2 @ SV37 @ SV62 ) @ SV78 @ SV71 )
= $true )
| ( ( v3_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV78 )
= $true )
| ( ( v2_altcat_1 @ SV78 )
= $false )
| ( ( m1_altcat_2 @ SV78 @ SV37 )
= $false )
| ( ( v3_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV71 )
= $true )
| ( ( v2_altcat_1 @ SV71 )
= $false )
| ( ( m1_altcat_2 @ SV71 @ SV2 )
= $false )
| ( ( v21_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( m2_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v16_functor0 @ SV62 @ SV2 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV37 )
= $false )
| ( ( v2_altcat_1 @ SV37 )
= $false )
| ( ( v3_struct_0 @ SV37 )
= $true )
| ( ( v11_altcat_1 @ SV37 )
= $false )
| ( ( l2_altcat_1 @ SV37 )
= $false )
| ( ( v12_altcat_1 @ SV2 )
= $false )
| ( ( v2_altcat_1 @ SV2 )
= $false )
| ( ( v3_struct_0 @ SV2 )
= $true )
| ( ( v11_altcat_1 @ SV2 )
= $false )
| ( ( l2_altcat_1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(726,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[197,725,719,718,716,714,701,698,684,681,667,664,650,647,633,632,631,630,629,626,613,606,602,600,597,594,591,589,559,556,553,550,547,544,523,522,512,509,506,504,502,499,496,493,455,452,449,446,443,440,437,434,396,393,390,387,384,383,382,379,376,373,372,371,328,324,321,318,315,312,309,306,303,302,301,298,294,293,240,216,201,200]) ).
thf(727,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT376+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 29 08:30:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.42 ...
% 0.20/0.52
% 0.20/0.52 No.of.Axioms: 126
% 0.20/0.52
% 0.20/0.52 Length.of.Defs: 0
% 0.20/0.52
% 0.20/0.52 Contains.Choice.Funs: false
% 0.39/0.57 ......
% 0.39/0.58 (rf:2,axioms:14,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:128,loop_count:0,foatp_calls:0,translation:fof_full)..........................................................eprover: CPU time limit exceeded, terminating
% 74.48/74.71 .....ignored arguments false
% 75.18/75.45 ...
% 75.31/75.51 (rf:0,axioms:126,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:128,loop_count:0,foatp_calls:0,translation:fof_full)................................................................................................................................................................................................................................................................................eprover: CPU time limit exceeded, terminating
% 149.63/149.91 ..............................
% 151.06/151.40 (rf:2,axioms:14,ps:0,u:1,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:128,loop_count:0,foatp_calls:0,translation:fof_full).............................................eprover: CPU time limit exceeded, terminating
% 226.41/226.71 ..........
% 226.46/226.76 (rf:-1,axioms:16,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:128,loop_count:0,foatp_calls:0,translation:fof_full)...................................................................
% 226.69/227.05
% 226.69/227.05 ********************************
% 226.69/227.05 * All subproblems solved! *
% 226.69/227.05 ********************************
% 226.69/227.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:-1,axioms:17,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:726,loop_count:0,foatp_calls:1,translation:fof_full)
% 226.87/227.18
% 226.87/227.18 %**** Beginning of derivation protocol ****
% 226.87/227.18 % SZS output start CNFRefutation
% See solution above
% 226.87/227.18
% 226.87/227.18 %**** End of derivation protocol ****
% 226.87/227.18 %**** no. of clauses in derivation: 617 ****
% 226.87/227.18 %**** clause counter: 726 ****
% 226.87/227.18
% 226.87/227.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:-1,axioms:17,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:726,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------