%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:10:49 AM UTC 2026
% Result : Theorem 1.30s 0.61s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 18
% Syntax : Number of formulae : 290 ( 104 unt; 0 typ; 0 def)
% Number of atoms : 3262 ( 855 equ; 0 cnn)
% Maximal formula atoms : 7 ( 11 avg)
% Number of connectives : 6025 (1604 ~;1094 |; 105 &;3159 @)
% ( 3 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 7 con; 0-6 aty)
% Number of variables : 602 ( 0 ^; 593 !; 9 ?; 602 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g1_cat_1,type,
g1_cat_1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k11_cat_2,type,
k11_cat_2: $i > $i > $i ).
thf(tp_k12_nattra_1,type,
k12_nattra_1: $i > $i > $i ).
thf(tp_k17_isocat_2,type,
k17_isocat_2: $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_zfmisc_1,type,
k2_zfmisc_1: $i > $i > $i ).
thf(tp_l1_cat_1,type,
l1_cat_1: $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_cat_1,type,
m2_cat_1: $i > $i > $i > $o ).
thf(tp_m2_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_isocat_1,type,
r1_isocat_1: $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_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SY41,type,
sK4_SY41: $i ).
thf(tp_sK5_SY42,type,
sK5_SY42: $i > $i > $i ).
thf(tp_sK6_SY44,type,
sK6_SY44: $i > $i > $i ).
thf(tp_u1_cat_1,type,
u1_cat_1: $i > $i ).
thf(tp_u2_cat_1,type,
u2_cat_1: $i > $i ).
thf(tp_u3_cat_1,type,
u3_cat_1: $i > $i ).
thf(tp_u4_cat_1,type,
u4_cat_1: $i > $i ).
thf(tp_u5_cat_1,type,
u5_cat_1: $i > $i ).
thf(tp_u6_cat_1,type,
u6_cat_1: $i > $i ).
thf(tp_v1_cat_1,type,
v1_cat_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_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v2_cat_1,type,
v2_cat_1: $i > $o ).
thf(tp_v8_cat_1,type,
v8_cat_1: $i > $i > $i > $o ).
thf(6,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( v8_cat_1 @ ( k17_isocat_2 @ A @ B @ C ) @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_isocat_2) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( r1_isocat_1 @ A @ B )
=> ( r1_isocat_1 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_isocat_1) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( r1_isocat_1 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_isocat_1) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ? [C: $i] : ( m2_cat_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_cat_1) ).
thf(26,axiom,
? [A: $i] : ( l1_cat_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_cat_1) ).
thf(31,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_cat_1) ).
thf(32,axiom,
! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_cat_1) ).
thf(35,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(36,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(37,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_cat_1) ).
thf(38,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(39,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(40,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B )
& ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( m2_cat_1 @ ( k17_isocat_2 @ A @ B @ C ) @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_isocat_2) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( v1_cat_1 @ ( k12_nattra_1 @ A @ B ) )
& ( v2_cat_1 @ ( k12_nattra_1 @ A @ B ) )
& ( l1_cat_1 @ ( k12_nattra_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( v2_cat_1 @ ( k11_cat_2 @ A @ B ) )
& ( l1_cat_1 @ ( k11_cat_2 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
thf(45,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( r1_isocat_1 @ A @ B )
<=> ? [C: $i] :
( ( m2_cat_1 @ C @ A @ B )
& ( v8_cat_1 @ C @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_isocat_1) ).
thf(49,conjecture,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_isocat_2) ).
thf(50,negated_conjecture,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[49]) ).
thf(51,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[50]) ).
thf(52,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( v8_cat_1 @ ( k17_isocat_2 @ A @ B @ C ) @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( r1_isocat_1 @ A @ B )
=> ( r1_isocat_1 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( r1_isocat_1 @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ? [C: $i] : ( m2_cat_1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(56,plain,
( ( ? [A: $i] : ( l1_cat_1 @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(57,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(58,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(59,plain,
$true = $true,
inference(unfold_def,[status(thm)],[35]) ).
thf(60,plain,
$true = $true,
inference(unfold_def,[status(thm)],[36]) ).
thf(61,plain,
$true = $true,
inference(unfold_def,[status(thm)],[37]) ).
thf(62,plain,
$true = $true,
inference(unfold_def,[status(thm)],[38]) ).
thf(63,plain,
$true = $true,
inference(unfold_def,[status(thm)],[39]) ).
thf(64,plain,
$true = $true,
inference(unfold_def,[status(thm)],[40]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B )
& ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( m2_cat_1 @ ( k17_isocat_2 @ A @ B @ C ) @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( v1_cat_1 @ ( k12_nattra_1 @ A @ B ) )
& ( v2_cat_1 @ ( k12_nattra_1 @ A @ B ) )
& ( l1_cat_1 @ ( k12_nattra_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( v2_cat_1 @ ( k11_cat_2 @ A @ B ) )
& ( l1_cat_1 @ ( k11_cat_2 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(68,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( r1_isocat_1 @ A @ B )
<=> ? [C: $i] :
( ( m2_cat_1 @ C @ A @ B )
& ( v8_cat_1 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(69,plain,
( ( ( ( v2_cat_1 @ sK1_A )
& ( l1_cat_1 @ sK1_A ) )
=> ! [SY26: $i] :
( ( ( v2_cat_1 @ SY26 )
& ( l1_cat_1 @ SY26 ) )
=> ! [SY27: $i] :
( ( ( v2_cat_1 @ SY27 )
& ( l1_cat_1 @ SY27 ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ SY26 @ SY27 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ SY26 ) @ ( k12_nattra_1 @ sK1_A @ SY27 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(70,plain,
( ( v2_cat_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[69]) ).
thf(71,plain,
( ( l1_cat_1 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[69]) ).
thf(72,plain,
( ( ! [SY26: $i] :
( ( ( v2_cat_1 @ SY26 )
& ( l1_cat_1 @ SY26 ) )
=> ! [SY27: $i] :
( ( ( v2_cat_1 @ SY27 )
& ( l1_cat_1 @ SY27 ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ SY26 @ SY27 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ SY26 ) @ ( k12_nattra_1 @ sK1_A @ SY27 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[69]) ).
thf(73,plain,
( ( ~ ! [SY26: $i] :
( ( ( v2_cat_1 @ SY26 )
& ( l1_cat_1 @ SY26 ) )
=> ! [SY27: $i] :
( ( ( v2_cat_1 @ SY27 )
& ( l1_cat_1 @ SY27 ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ SY26 @ SY27 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ SY26 ) @ ( k12_nattra_1 @ sK1_A @ SY27 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[72]) ).
thf(74,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( r1_isocat_1 @ A @ B )
<=> ? [C: $i] :
( ( m2_cat_1 @ C @ A @ B )
& ( v8_cat_1 @ C @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( v2_cat_1 @ ( k11_cat_2 @ A @ B ) )
& ( l1_cat_1 @ ( k11_cat_2 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( v1_cat_1 @ ( k12_nattra_1 @ A @ B ) )
& ( v2_cat_1 @ ( k12_nattra_1 @ A @ B ) )
& ( l1_cat_1 @ ( k12_nattra_1 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(77,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B )
& ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( m2_cat_1 @ ( k17_isocat_2 @ A @ B @ C ) @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(78,plain,
$true = $true,
inference(copy,[status(thm)],[64]) ).
thf(79,plain,
$true = $true,
inference(copy,[status(thm)],[63]) ).
thf(80,plain,
$true = $true,
inference(copy,[status(thm)],[62]) ).
thf(81,plain,
$true = $true,
inference(copy,[status(thm)],[61]) ).
thf(82,plain,
$true = $true,
inference(copy,[status(thm)],[60]) ).
thf(83,plain,
$true = $true,
inference(copy,[status(thm)],[59]) ).
thf(84,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u1_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(85,plain,
( ( ! [A: $i] :
( ( l1_cat_1 @ A )
=> ~ ( v1_xboole_0 @ ( u2_cat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(86,plain,
( ( ? [A: $i] : ( l1_cat_1 @ A ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ? [C: $i] : ( m2_cat_1 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(88,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( r1_isocat_1 @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A )
& ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ( ( r1_isocat_1 @ A @ B )
=> ( r1_isocat_1 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(90,plain,
( ( ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( ( v2_cat_1 @ C )
& ( l1_cat_1 @ C ) )
=> ( v8_cat_1 @ ( k17_isocat_2 @ A @ B @ C ) @ ( k12_nattra_1 @ A @ ( k11_cat_2 @ B @ C ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ A @ B ) @ ( k12_nattra_1 @ A @ C ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(91,plain,
( ( l1_cat_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(92,plain,
( ( v2_cat_1 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(93,plain,
( ( ~ ! [SY26: $i] :
( ( ( v2_cat_1 @ SY26 )
& ( l1_cat_1 @ SY26 ) )
=> ! [SY27: $i] :
( ( ( v2_cat_1 @ SY27 )
& ( l1_cat_1 @ SY27 ) )
=> ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ SY26 @ SY27 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ SY26 ) @ ( k12_nattra_1 @ sK1_A @ SY27 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(94,plain,
( ( ~ ! [SX0: $i] :
~ ( l1_cat_1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(95,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ~ ( v2_cat_1 @ SX1 ) )
| ~ ( l1_cat_1 @ SX1 ) )
| ( r1_isocat_1 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(96,plain,
( ( ~ ! [SX0: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX1 )
| ~ ( l1_cat_1 @ SX1 ) )
| ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ SX0 @ SX1 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ SX0 ) @ ( k12_nattra_1 @ sK1_A @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ~ ( v2_cat_1 @ SX1 ) )
| ~ ( l1_cat_1 @ SX1 ) )
| ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SX0 @ SX1 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(98,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX1 )
| ~ ( l1_cat_1 @ SX1 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( m2_cat_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v8_cat_1 @ SX2 @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( m2_cat_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v8_cat_1 @ SX2 @ SX0 @ SX1 ) )
| ( r1_isocat_1 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(99,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v1_xboole_0 @ ( u1_cat_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ~ ( v2_cat_1 @ SX1 ) )
| ~ ( l1_cat_1 @ SX1 ) )
| ~ ! [SX2: $i] :
~ ( m2_cat_1 @ SX2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(101,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX1 )
| ~ ( l1_cat_1 @ SX1 ) )
| ! [SX2: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX2 )
| ~ ( l1_cat_1 @ SX2 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SX0 @ SX1 @ SX2 ) @ ( k12_nattra_1 @ SX0 @ ( k11_cat_2 @ SX1 @ SX2 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SX0 @ SX1 ) @ ( k12_nattra_1 @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(102,plain,
( ( ! [SX0: $i] :
( ~ ( l1_cat_1 @ SX0 )
| ~ ( v1_xboole_0 @ ( u2_cat_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(103,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ~ ( v2_cat_1 @ SX1 ) )
| ~ ( l1_cat_1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SX0 @ SX1 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SX0 @ SX1 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(104,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ~ ( v2_cat_1 @ SX1 ) )
| ~ ( l1_cat_1 @ SX1 ) )
| ~ ( v2_cat_1 @ SX2 ) )
| ~ ( l1_cat_1 @ SX2 ) )
| ( m2_cat_1 @ ( k17_isocat_2 @ SX0 @ SX1 @ SX2 ) @ ( k12_nattra_1 @ SX0 @ ( k11_cat_2 @ SX1 @ SX2 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SX0 @ SX1 ) @ ( k12_nattra_1 @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(105,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ~ ( v2_cat_1 @ SX1 ) )
| ~ ( l1_cat_1 @ SX1 ) )
| ~ ( r1_isocat_1 @ SX0 @ SX1 )
| ( r1_isocat_1 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(106,plain,
( ( ! [SX0: $i] :
~ ( l1_cat_1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV1: $i] :
( ( ! [SY28: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SY28 ) )
| ~ ( l1_cat_1 @ SY28 ) )
| ( r1_isocat_1 @ SV1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(108,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX0 )
| ~ ( l1_cat_1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SX1 )
| ~ ( l1_cat_1 @ SX1 ) )
| ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ SX0 @ SX1 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ SX0 ) @ ( k12_nattra_1 @ sK1_A @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV2: $i] :
( ( ! [SY29: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SY29 ) )
| ~ ( l1_cat_1 @ SY29 ) )
| ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SY29 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SY29 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( v2_cat_1 @ SV3 )
| ~ ( l1_cat_1 @ SV3 ) )
| ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV4: $i] :
( ( ~ ( l1_cat_1 @ SV4 )
| ~ ( v1_xboole_0 @ ( u1_cat_1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV5: $i] :
( ( ! [SY33: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SY33 ) )
| ~ ( l1_cat_1 @ SY33 ) )
| ~ ! [SY34: $i] :
~ ( m2_cat_1 @ SY34 @ SV5 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ( v2_cat_1 @ SV6 )
| ~ ( l1_cat_1 @ SV6 ) )
| ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV7: $i] :
( ( ~ ( l1_cat_1 @ SV7 )
| ~ ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV8: $i] :
( ( ! [SY37: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SY37 ) )
| ~ ( l1_cat_1 @ SY37 ) )
| ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SY37 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SY37 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SY37 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV9: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SY38 ) )
| ~ ( l1_cat_1 @ SY38 ) )
| ~ ( v2_cat_1 @ SY39 ) )
| ~ ( l1_cat_1 @ SY39 ) )
| ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SY38 @ SY39 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SY38 @ SY39 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SY38 ) @ ( k12_nattra_1 @ SV9 @ SY39 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV10: $i] :
( ( ! [SY40: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SY40 ) )
| ~ ( l1_cat_1 @ SY40 ) )
| ~ ( r1_isocat_1 @ SV10 @ SY40 )
| ( r1_isocat_1 @ SY40 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(118,plain,
( ( ~ ( l1_cat_1 @ sK2_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(119,plain,
! [SV11: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) )
| ~ ( l1_cat_1 @ SV11 ) )
| ( r1_isocat_1 @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(120,plain,
( ( ~ ~ ( ~ ( v2_cat_1 @ sK3_SX0 )
| ~ ( l1_cat_1 @ sK3_SX0 ) )
| ! [SY41: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY41 )
| ~ ( l1_cat_1 @ SY41 ) )
| ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ sK3_SX0 @ SY41 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ sK3_SX0 ) @ ( k12_nattra_1 @ sK1_A @ SY41 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(121,plain,
! [SV12: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) )
| ~ ( l1_cat_1 @ SV12 ) )
| ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(122,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV3 )
| ~ ( l1_cat_1 @ SV3 ) ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(123,plain,
! [SV4: $i] :
( ( ( ~ ( l1_cat_1 @ SV4 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u1_cat_1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(124,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) )
| ~ ( l1_cat_1 @ SV13 ) )
| ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(125,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV6 )
| ~ ( l1_cat_1 @ SV6 ) ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV7: $i] :
( ( ( ~ ( l1_cat_1 @ SV7 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV14: $i,SV8: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) )
| ~ ( l1_cat_1 @ SV14 ) )
| ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV15: $i,SV9: $i] :
( ( ! [SY43: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SY43 ) )
| ~ ( l1_cat_1 @ SY43 ) )
| ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SY43 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SY43 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SY43 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) )
| ~ ( l1_cat_1 @ SV16 ) )
| ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(130,plain,
( ( l1_cat_1 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(131,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) )
| ~ ( l1_cat_1 @ SV11 ) ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(132,plain,
( ( ~ ~ ( ~ ( v2_cat_1 @ sK3_SX0 )
| ~ ( l1_cat_1 @ sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(133,plain,
( ( ! [SY41: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY41 )
| ~ ( l1_cat_1 @ SY41 ) )
| ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ sK3_SX0 @ SY41 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ sK3_SX0 ) @ ( k12_nattra_1 @ sK1_A @ SY41 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(134,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) )
| ~ ( l1_cat_1 @ SV12 ) ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(135,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV3 )
| ~ ( l1_cat_1 @ SV3 ) ) )
= $false )
| ( ( ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(136,plain,
! [SV4: $i] :
( ( ( l1_cat_1 @ SV4 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( u1_cat_1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(137,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) )
| ~ ( l1_cat_1 @ SV13 ) ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(138,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV6 )
| ~ ( l1_cat_1 @ SV6 ) ) )
= $false )
| ( ( ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(139,plain,
! [SV7: $i] :
( ( ( l1_cat_1 @ SV7 )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(140,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) )
| ~ ( l1_cat_1 @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(141,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) )
| ~ ( l1_cat_1 @ SV17 ) )
| ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(142,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) )
| ~ ( l1_cat_1 @ SV16 ) ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(143,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) )
| ~ ( l1_cat_1 @ SV11 ) ) )
= $false )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(144,plain,
( ( ~ ( ~ ( v2_cat_1 @ sK3_SX0 )
| ~ ( l1_cat_1 @ sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(145,plain,
( ( ~ ~ ( ~ ( v2_cat_1 @ sK4_SY41 )
| ~ ( l1_cat_1 @ sK4_SY41 ) )
| ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ sK3_SX0 @ sK4_SY41 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ sK3_SX0 ) @ ( k12_nattra_1 @ sK1_A @ sK4_SY41 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(146,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) )
| ~ ( l1_cat_1 @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(147,plain,
! [SV3: $i] :
( ( ( ~ ( v2_cat_1 @ SV3 )
| ~ ( l1_cat_1 @ SV3 ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(148,plain,
! [SV4: $i] :
( ( ( v1_xboole_0 @ ( u1_cat_1 @ SV4 ) )
= $false )
| ( ( l1_cat_1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(149,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) )
| ~ ( l1_cat_1 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(150,plain,
! [SV6: $i] :
( ( ( ~ ( v2_cat_1 @ SV6 )
| ~ ( l1_cat_1 @ SV6 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(151,plain,
! [SV7: $i] :
( ( ( v1_xboole_0 @ ( u2_cat_1 @ SV7 ) )
= $false )
| ( ( l1_cat_1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(152,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) )
| ~ ( l1_cat_1 @ SV14 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(153,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) )
| ~ ( l1_cat_1 @ SV17 ) ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(154,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) )
| ~ ( l1_cat_1 @ SV16 ) ) )
= $false )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(155,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) )
| ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(156,plain,
( ( ~ ( v2_cat_1 @ sK3_SX0 )
| ~ ( l1_cat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(157,plain,
( ( ~ ~ ( ~ ( v2_cat_1 @ sK4_SY41 )
| ~ ( l1_cat_1 @ sK4_SY41 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(158,plain,
( ( r1_isocat_1 @ ( k12_nattra_1 @ sK1_A @ ( k11_cat_2 @ sK3_SX0 @ sK4_SY41 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ sK1_A @ sK3_SX0 ) @ ( k12_nattra_1 @ sK1_A @ sK4_SY41 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(159,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) )
| ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(160,plain,
! [SV3: $i] :
( ( ( ~ ( v2_cat_1 @ SV3 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV3 ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(161,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) )
| ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(162,plain,
! [SV6: $i] :
( ( ( ~ ( v2_cat_1 @ SV6 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV6 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(163,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) )
| ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(164,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) )
| ~ ( l1_cat_1 @ SV17 ) ) )
= $false )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) )
| ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(166,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(167,plain,
( ( ~ ( v2_cat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(168,plain,
( ( ~ ( l1_cat_1 @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(169,plain,
( ( ~ ( ~ ( v2_cat_1 @ sK4_SY41 )
| ~ ( l1_cat_1 @ sK4_SY41 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(170,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV3: $i] :
( ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV3 ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV6: $i] :
( ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV6 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(174,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(175,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) )
| ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(176,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(177,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(178,plain,
( ( v2_cat_1 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(179,plain,
( ( l1_cat_1 @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(180,plain,
( ( ~ ( v2_cat_1 @ sK4_SY41 )
| ~ ( l1_cat_1 @ sK4_SY41 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(181,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(182,plain,
! [SV3: $i] :
( ( ( l1_cat_1 @ SV3 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( ! [SY30: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY30 )
| ~ ( l1_cat_1 @ SY30 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SY30 )
| ~ ! [SY31: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY31 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY31 @ SV3 @ SY30 ) ) )
| ~ ( ~ ~ ! [SY32: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY32 @ SV3 @ SY30 )
| ~ ( v8_cat_1 @ SY32 @ SV3 @ SY30 ) )
| ( r1_isocat_1 @ SV3 @ SY30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(183,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(184,plain,
! [SV6: $i] :
( ( ( l1_cat_1 @ SV6 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( ! [SY35: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY35 )
| ~ ( l1_cat_1 @ SY35 ) )
| ! [SY36: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY36 )
| ~ ( l1_cat_1 @ SY36 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SY35 @ SY36 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SY35 @ SY36 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SY35 ) @ ( k12_nattra_1 @ SV6 @ SY36 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(185,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(186,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(188,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
| ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(189,plain,
( ( ~ ( v2_cat_1 @ sK4_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(190,plain,
( ( ~ ( l1_cat_1 @ sK4_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(191,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
| ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(192,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV18 )
| ~ ( l1_cat_1 @ SV18 ) )
| ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
| ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(194,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV19 )
| ~ ( l1_cat_1 @ SV19 ) )
| ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
| ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
| ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(198,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(199,plain,
( ( v2_cat_1 @ sK4_SY41 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(200,plain,
( ( l1_cat_1 @ sK4_SY41 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(201,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(202,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV18 )
| ~ ( l1_cat_1 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(204,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV19 )
| ~ ( l1_cat_1 @ SV19 ) ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(205,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(206,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
| ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(209,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(210,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV18 )
| ~ ( l1_cat_1 @ SV18 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(211,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(212,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV19 )
| ~ ( l1_cat_1 @ SV19 ) ) )
= $false )
| ( ( ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(215,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( v2_cat_1 @ SV1 )
| ~ ( l1_cat_1 @ SV1 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(217,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( v2_cat_1 @ SV2 )
| ~ ( l1_cat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(218,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( v2_cat_1 @ SV18 )
| ~ ( l1_cat_1 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(219,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( v2_cat_1 @ SV5 )
| ~ ( l1_cat_1 @ SV5 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(220,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ( v2_cat_1 @ SV19 )
| ~ ( l1_cat_1 @ SV19 ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(221,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( v2_cat_1 @ SV8 )
| ~ ( l1_cat_1 @ SV8 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(222,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(223,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( v2_cat_1 @ SV10 )
| ~ ( l1_cat_1 @ SV10 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(224,plain,
! [SV11: $i,SV1: $i] :
( ( ( ~ ( v2_cat_1 @ SV1 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV1 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(225,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( v2_cat_1 @ SV2 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(226,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( v2_cat_1 @ SV18 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( v2_cat_1 @ SV5 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV5 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV6: $i,SV19: $i] :
( ( ( ~ ( v2_cat_1 @ SV19 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV19 ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(229,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( v2_cat_1 @ SV8 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV8 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(230,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
| ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(231,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( v2_cat_1 @ SV10 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV10 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(232,plain,
! [SV11: $i,SV1: $i] :
( ( ( v2_cat_1 @ SV1 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV1 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(233,plain,
! [SV12: $i,SV2: $i] :
( ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV2 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV3: $i,SV18: $i] :
( ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV13: $i,SV5: $i] :
( ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV5 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV6: $i,SV19: $i] :
( ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV19 ) )
= $true )
| ( ( ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV14: $i,SV8: $i] :
( ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV8 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(238,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(239,plain,
! [SV16: $i,SV10: $i] :
( ( ( v2_cat_1 @ SV10 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV10 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(240,plain,
! [SV11: $i,SV1: $i] :
( ( ( l1_cat_1 @ SV1 )
= $false )
| ( ( v2_cat_1 @ SV1 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV11 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV12: $i,SV2: $i] :
( ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(242,plain,
! [SV3: $i,SV18: $i] :
( ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( ~ ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(243,plain,
! [SV13: $i,SV5: $i] :
( ( ( l1_cat_1 @ SV5 )
= $false )
| ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(244,plain,
! [SV6: $i,SV19: $i] :
( ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( ! [SY46: $i] :
( ~ ~ ( ~ ( v2_cat_1 @ SY46 )
| ~ ( l1_cat_1 @ SY46 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SY46 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SY46 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SY46 ) ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(245,plain,
! [SV14: $i,SV8: $i] :
( ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(246,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) ) )
= $false )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(247,plain,
! [SV16: $i,SV10: $i] :
( ( ( l1_cat_1 @ SV10 )
= $false )
| ( ( v2_cat_1 @ SV10 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(248,plain,
! [SV1: $i,SV11: $i] :
( ( ( v2_cat_1 @ SV11 )
= $false )
| ( ( v2_cat_1 @ SV1 )
= $false )
| ( ( l1_cat_1 @ SV1 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV11 ) )
= $true )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(249,plain,
! [SV2: $i,SV12: $i] :
( ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(250,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
| ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(251,plain,
! [SV5: $i,SV13: $i] :
( ( ( v2_cat_1 @ SV13 )
= $false )
| ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV5 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV13 ) )
= $true )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(252,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV20 )
| ~ ( l1_cat_1 @ SV20 ) )
| ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(253,plain,
! [SV8: $i,SV14: $i] :
( ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
| ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(255,plain,
! [SV10: $i,SV16: $i] :
( ( ( v2_cat_1 @ SV16 )
= $false )
| ( ( v2_cat_1 @ SV10 )
= $false )
| ( ( l1_cat_1 @ SV10 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV16 ) )
= $true )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV1: $i,SV11: $i] :
( ( ( l1_cat_1 @ SV11 )
= $false )
| ( ( l1_cat_1 @ SV1 )
= $false )
| ( ( v2_cat_1 @ SV1 )
= $false )
| ( ( v2_cat_1 @ SV11 )
= $false )
| ( ( r1_isocat_1 @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(257,plain,
! [SV2: $i,SV12: $i] :
( ( ( l1_cat_1 @ SV12 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( ~ ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(258,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(259,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) ) )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(260,plain,
! [SV5: $i,SV13: $i] :
( ( ( l1_cat_1 @ SV13 )
= $false )
| ( ( l1_cat_1 @ SV5 )
= $false )
| ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( v2_cat_1 @ SV13 )
= $false )
| ( ( ~ ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(261,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV20 )
| ~ ( l1_cat_1 @ SV20 ) ) )
= $true )
| ( ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(262,plain,
! [SV8: $i,SV14: $i] :
( ( ( l1_cat_1 @ SV14 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(263,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(264,plain,
! [SV10: $i,SV16: $i] :
( ( ( l1_cat_1 @ SV16 )
= $false )
| ( ( l1_cat_1 @ SV10 )
= $false )
| ( ( v2_cat_1 @ SV10 )
= $false )
| ( ( v2_cat_1 @ SV16 )
= $false )
| ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 )
| ( r1_isocat_1 @ SV16 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(265,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
| ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) )
= $false )
| ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(266,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( r1_isocat_1 @ SV3 @ SV18 )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(267,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) )
| ( r1_isocat_1 @ SV3 @ SV18 ) )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(268,plain,
! [SV13: $i,SV5: $i] :
( ( ( ! [SY42: $i] :
~ ( m2_cat_1 @ SY42 @ SV5 @ SV13 ) )
= $false )
| ( ( v2_cat_1 @ SV13 )
= $false )
| ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(269,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV20 )
| ~ ( l1_cat_1 @ SV20 ) ) )
= $false )
| ( ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(270,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
| ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(271,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) ) )
= $false )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(272,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( r1_isocat_1 @ SV10 @ SV16 ) )
= $true )
| ( ( r1_isocat_1 @ SV16 @ SV10 )
= $true )
| ( ( v2_cat_1 @ SV16 )
= $false )
| ( ( v2_cat_1 @ SV10 )
= $false )
| ( ( l1_cat_1 @ SV10 )
= $false )
| ( ( l1_cat_1 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(273,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) )
= $false )
| ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(274,plain,
! [SV12: $i,SV2: $i] :
( ( ( ~ ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) ) )
= $false )
| ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(275,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( r1_isocat_1 @ SV3 @ SV18 ) )
= $true )
| ( ( ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(276,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(277,plain,
! [SV5: $i,SV13: $i] :
( ( ( ~ ( m2_cat_1 @ ( sK5_SY42 @ SV13 @ SV5 ) @ SV5 @ SV13 ) )
= $false )
| ( ( v2_cat_1 @ SV13 )
= $false )
| ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV13 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[268]) ).
thf(278,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( ~ ( v2_cat_1 @ SV20 )
| ~ ( l1_cat_1 @ SV20 ) )
= $true )
| ( ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(279,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(280,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(281,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( v2_cat_1 @ SV9 )
| ~ ( l1_cat_1 @ SV9 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(282,plain,
! [SV16: $i,SV10: $i] :
( ( ( r1_isocat_1 @ SV10 @ SV16 )
= $false )
| ( ( r1_isocat_1 @ SV16 @ SV10 )
= $true )
| ( ( v2_cat_1 @ SV16 )
= $false )
| ( ( v2_cat_1 @ SV10 )
= $false )
| ( ( l1_cat_1 @ SV10 )
= $false )
| ( ( l1_cat_1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(283,plain,
! [SV12: $i,SV2: $i] :
( ( ( v2_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
= $true )
| ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(284,plain,
! [SV12: $i,SV2: $i] :
( ( ( l1_cat_1 @ ( k11_cat_2 @ SV2 @ SV12 ) )
= $true )
| ( ( v2_cat_1 @ SV12 )
= $false )
| ( ( v2_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV2 )
= $false )
| ( ( l1_cat_1 @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(285,plain,
! [SV18: $i,SV3: $i] :
( ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( ~ ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(286,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(287,plain,
! [SV5: $i,SV13: $i] :
( ( ( m2_cat_1 @ ( sK5_SY42 @ SV13 @ SV5 ) @ SV5 @ SV13 )
= $true )
| ( ( v2_cat_1 @ SV13 )
= $false )
| ( ( v2_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV5 )
= $false )
| ( ( l1_cat_1 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(288,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( ~ ( v2_cat_1 @ SV20 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV20 ) )
= $true )
| ( ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) ) )
= $true )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(290,plain,
! [SV14: $i,SV8: $i] :
( ( ( l1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
= $true )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(291,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( v2_cat_1 @ SV9 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV9 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(292,plain,
! [SV18: $i,SV3: $i] :
( ( ( ! [SY44: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY44 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY44 @ SV3 @ SV18 ) ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(293,plain,
! [SV18: $i,SV3: $i] :
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( m2_cat_1 @ SY45 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SY45 @ SV3 @ SV18 ) ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(294,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( v2_cat_1 @ SV20 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV20 ) )
= $true )
| ( ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(295,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
| ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(296,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( v2_cat_1 @ SV9 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV9 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(297,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( m2_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 ) ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(298,plain,
! [SV18: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( m2_cat_1 @ SV21 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SV21 @ SV3 @ SV18 ) ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(299,plain,
! [SV19: $i,SV6: $i,SV20: $i] :
( ( ( l1_cat_1 @ SV20 )
= $false )
| ( ( v2_cat_1 @ SV20 )
= $false )
| ( ( v8_cat_1 @ ( k17_isocat_2 @ SV6 @ SV19 @ SV20 ) @ ( k12_nattra_1 @ SV6 @ ( k11_cat_2 @ SV19 @ SV20 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV6 @ SV19 ) @ ( k12_nattra_1 @ SV6 @ SV20 ) ) )
= $true )
| ( ( v2_cat_1 @ SV19 )
= $false )
| ( ( l1_cat_1 @ SV19 )
= $false )
| ( ( v2_cat_1 @ SV6 )
= $false )
| ( ( l1_cat_1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(300,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(301,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) ) )
= $false )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(302,plain,
! [SV17: $i,SV15: $i,SV9: $i] :
( ( ( l1_cat_1 @ SV9 )
= $false )
| ( ( v2_cat_1 @ SV9 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(303,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( ~ ( m2_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 ) ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(304,plain,
! [SV18: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ( m2_cat_1 @ SV21 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SV21 @ SV3 @ SV18 ) ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(305,plain,
! [SV14: $i,SV8: $i] :
( ( ( v1_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
= $true )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(306,plain,
! [SV14: $i,SV8: $i] :
( ( ( v2_cat_1 @ ( k12_nattra_1 @ SV8 @ SV14 ) )
= $true )
| ( ( v2_cat_1 @ SV14 )
= $false )
| ( ( v2_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV8 )
= $false )
| ( ( l1_cat_1 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(307,plain,
! [SV17: $i,SV9: $i,SV15: $i] :
( ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( v2_cat_1 @ SV9 )
= $false )
| ( ( l1_cat_1 @ SV9 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV15 ) )
= $true )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(308,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( m2_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(309,plain,
! [SV18: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( m2_cat_1 @ SV21 @ SV3 @ SV18 )
| ~ ( v8_cat_1 @ SV21 @ SV3 @ SV18 ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(310,plain,
! [SV17: $i,SV9: $i,SV15: $i] :
( ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( l1_cat_1 @ SV9 )
= $false )
| ( ( v2_cat_1 @ SV9 )
= $false )
| ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( ~ ( v2_cat_1 @ SV17 ) )
= $true )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(311,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( m2_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(312,plain,
! [SV3: $i,SV18: $i] :
( ( ( ~ ( v8_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 ) )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(313,plain,
! [SV18: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( m2_cat_1 @ SV21 @ SV3 @ SV18 ) )
= $true )
| ( ( ~ ( v8_cat_1 @ SV21 @ SV3 @ SV18 ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(314,plain,
! [SV9: $i,SV15: $i,SV17: $i] :
( ( ( v2_cat_1 @ SV17 )
= $false )
| ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( v2_cat_1 @ SV9 )
= $false )
| ( ( l1_cat_1 @ SV9 )
= $false )
| ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( ~ ( l1_cat_1 @ SV17 ) )
= $true )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(315,plain,
! [SV3: $i,SV18: $i] :
( ( ( m2_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(316,plain,
! [SV3: $i,SV18: $i] :
( ( ( v8_cat_1 @ ( sK6_SY44 @ SV18 @ SV3 ) @ SV3 @ SV18 )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(317,plain,
! [SV18: $i,SV3: $i,SV21: $i] :
( ( ( m2_cat_1 @ SV21 @ SV3 @ SV18 )
= $false )
| ( ( ~ ( v8_cat_1 @ SV21 @ SV3 @ SV18 ) )
= $true )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(318,plain,
! [SV9: $i,SV15: $i,SV17: $i] :
( ( ( l1_cat_1 @ SV17 )
= $false )
| ( ( l1_cat_1 @ SV15 )
= $false )
| ( ( l1_cat_1 @ SV9 )
= $false )
| ( ( v2_cat_1 @ SV9 )
= $false )
| ( ( v2_cat_1 @ SV15 )
= $false )
| ( ( v2_cat_1 @ SV17 )
= $false )
| ( ( m2_cat_1 @ ( k17_isocat_2 @ SV9 @ SV15 @ SV17 ) @ ( k12_nattra_1 @ SV9 @ ( k11_cat_2 @ SV15 @ SV17 ) ) @ ( k11_cat_2 @ ( k12_nattra_1 @ SV9 @ SV15 ) @ ( k12_nattra_1 @ SV9 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(319,plain,
! [SV18: $i,SV3: $i,SV21: $i] :
( ( ( v8_cat_1 @ SV21 @ SV3 @ SV18 )
= $false )
| ( ( m2_cat_1 @ SV21 @ SV3 @ SV18 )
= $false )
| ( ( r1_isocat_1 @ SV3 @ SV18 )
= $true )
| ( ( v2_cat_1 @ SV18 )
= $false )
| ( ( l1_cat_1 @ SV18 )
= $false )
| ( ( v2_cat_1 @ SV3 )
= $false )
| ( ( l1_cat_1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(320,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[78,319,318,316,315,306,305,299,290,287,284,283,282,256,200,199,179,178,158,151,148,130,92,91,83,82,81,80,79]) ).
thf(321,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.24 % Computer : n006.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Oct 6 18:29:52 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/0.61
% 1.30/0.61 No.of.Axioms: 17
% 1.30/0.61
% 1.30/0.61 Length.of.Defs: 0
% 1.30/0.61
% 1.30/0.61 Contains.Choice.Funs: false
% 1.30/0.61 ........
% 1.30/0.61
% 1.30/0.61 ********************************
% 1.30/0.61 * All subproblems solved! *
% 1.30/0.61 ********************************
% 1.30/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:320,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.30/0.61
% 1.30/0.61 %**** Beginning of derivation protocol ****
% 1.30/0.61 % SZS output start CNFRefutation
% See solution above
% 1.30/0.61
% 1.30/0.61 %**** End of derivation protocol ****
% 1.30/0.61 %**** no. of clauses in derivation: 290 ****
% 1.30/0.61 %**** clause counter: 320 ****
% 1.30/0.61
% 1.30/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:320,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------