%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU451+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:44:30 AM UTC 2026
% Result : Theorem 24.98s 4.37s
% Output : CNFRefutation 24.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 48
% Syntax : Number of formulae : 567 ( 389 unt; 0 typ; 0 def)
% Number of atoms : 2894 ( 824 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 5877 (1423 ~; 668 |; 126 &;3591 @)
% ( 6 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 9 con; 0-6 aty)
% Number of variables : 1162 ( 0 ^;1132 !; 30 ?;1162 :)
% Comments :
%------------------------------------------------------------------------------
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_k5_relat_1,type,
k5_relat_1: $i > $i > $i ).
thf(tp_k6_partfun1,type,
k6_partfun1: $i > $i ).
thf(tp_k6_relat_1,type,
k6_relat_1: $i > $i ).
thf(tp_k7_relset_1,type,
k7_relset_1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_k9_relset_2,type,
k9_relset_2: $i > $i > $i > $i > $i > $i ).
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_relset_1,type,
m2_relset_1: $i > $i > $i > $o ).
thf(tp_r1_tarski,type,
r1_tarski: $i > $i > $o ).
thf(tp_r2_hidden,type,
r2_hidden: $i > $i > $o ).
thf(tp_sK10_SY165,type,
sK10_SY165: $i > $i > $i ).
thf(tp_sK11_SY169,type,
sK11_SY169: $i > $i > $i ).
thf(tp_sK12_SY172,type,
sK12_SY172: $i > $i > $i ).
thf(tp_sK13_SY143,type,
sK13_SY143: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY95,type,
sK2_SY95: $i ).
thf(tp_sK3_SY97,type,
sK3_SY97: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $i ).
thf(tp_sK7_SY127,type,
sK7_SY127: $i > $i ).
thf(tp_sK8_SY135,type,
sK8_SY135: $i > $i ).
thf(tp_sK9_SY141,type,
sK9_SY141: $i > $i ).
thf(tp_v1_funct_1,type,
v1_funct_1: $i > $o ).
thf(tp_v1_partfun1,type,
v1_partfun1: $i > $i > $i > $o ).
thf(tp_v1_relat_1,type,
v1_relat_1: $i > $o ).
thf(tp_v1_relat_2,type,
v1_relat_2: $i > $o ).
thf(tp_v1_xboole_0,type,
v1_xboole_0: $i > $o ).
thf(tp_v3_relat_1,type,
v3_relat_1: $i > $o ).
thf(tp_v3_relat_2,type,
v3_relat_2: $i > $o ).
thf(tp_v4_relat_2,type,
v4_relat_2: $i > $o ).
thf(tp_v8_relat_2,type,
v8_relat_2: $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( ( k7_relset_1 @ A @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= C )
& ( ( k7_relset_1 @ A @ B @ B @ B @ C @ ( k6_partfun1 @ B ) )
= C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(10,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
& ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
=> ( ( k9_relset_2 @ A @ B @ C @ D @ E )
= ( k5_relat_1 @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
thf(14,axiom,
! [A: $i] :
( ( k6_partfun1 @ A )
= ( k6_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
thf(15,axiom,
? [A: $i] :
( ( v1_relat_1 @ A )
& ( v3_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
thf(16,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_relset_1 @ B @ A @ A )
& ( v1_relat_1 @ B )
& ( v1_relat_2 @ B )
& ( v3_relat_2 @ B )
& ( v4_relat_2 @ B )
& ( v8_relat_2 @ B )
& ( v1_partfun1 @ B @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_partfun1) ).
thf(17,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(18,axiom,
? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(19,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_partfun1) ).
thf(20,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(21,axiom,
? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ B ) )
=> ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) )
& ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_relat_1) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
thf(24,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(25,axiom,
! [A: $i] :
( ( v1_relat_1 @ ( k6_relat_1 @ A ) )
& ( v1_funct_1 @ ( k6_relat_1 @ A ) )
& ( v1_relat_2 @ ( k6_relat_1 @ A ) )
& ( v3_relat_2 @ ( k6_relat_1 @ A ) )
& ( v4_relat_2 @ ( k6_relat_1 @ A ) )
& ( v8_relat_2 @ ( k6_relat_1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_partfun1) ).
thf(26,axiom,
! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_sysrel) ).
thf(27,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(28,axiom,
( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ B ) )
=> ( ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) )
& ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_relat_1) ).
thf(30,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(31,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(32,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(34,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(35,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_relset_1) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
& ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
=> ( m2_relset_1 @ ( k9_relset_2 @ A @ B @ C @ D @ E ) @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relset_1) ).
thf(38,axiom,
! [A: $i] : ( v1_relat_1 @ ( k6_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
thf(39,axiom,
! [A: $i] :
( ( v1_partfun1 @ ( k6_partfun1 @ A ) @ A @ A )
& ( m2_relset_1 @ ( k6_partfun1 @ A ) @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_relat_1 @ B ) )
=> ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
thf(41,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_zfmisc_1) ).
thf(42,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(43,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(45,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(46,axiom,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v3_relat_2 @ A )
& ( v8_relat_2 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_relat_2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_partfun1) ).
thf(47,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(48,conjecture,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( k9_relset_2 @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= ( k9_relset_2 @ A @ B @ B @ C @ ( k6_partfun1 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
thf(49,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( k9_relset_2 @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= ( k9_relset_2 @ A @ B @ B @ C @ ( k6_partfun1 @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[48]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( k9_relset_2 @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= ( k9_relset_2 @ A @ B @ B @ C @ ( k6_partfun1 @ B ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[49]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(53,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( ( k7_relset_1 @ A @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= C )
& ( ( k7_relset_1 @ A @ B @ B @ B @ C @ ( k6_partfun1 @ B ) )
= C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(62,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
& ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
=> ( ( k9_relset_2 @ A @ B @ C @ D @ E )
= ( k5_relat_1 @ D @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(64,plain,
( ( ! [A: $i] :
( ( k6_partfun1 @ A )
= ( k6_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(65,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v3_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(66,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_relset_1 @ B @ A @ A )
& ( v1_relat_1 @ B )
& ( v1_relat_2 @ B )
& ( v3_relat_2 @ B )
& ( v4_relat_2 @ B )
& ( v8_relat_2 @ B )
& ( v1_partfun1 @ B @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(67,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(68,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(70,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(71,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ B ) )
=> ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) )
& ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(74,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(75,plain,
( ( ! [A: $i] :
( ( v1_relat_1 @ ( k6_relat_1 @ A ) )
& ( v1_funct_1 @ ( k6_relat_1 @ A ) )
& ( v1_relat_2 @ ( k6_relat_1 @ A ) )
& ( v3_relat_2 @ ( k6_relat_1 @ A ) )
& ( v4_relat_2 @ ( k6_relat_1 @ A ) )
& ( v8_relat_2 @ ( k6_relat_1 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(77,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(78,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ B ) )
=> ( ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) )
& ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(81,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(84,plain,
$true = $true,
inference(unfold_def,[status(thm)],[34]) ).
thf(85,plain,
$true = $true,
inference(unfold_def,[status(thm)],[35]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
& ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
=> ( m2_relset_1 @ ( k9_relset_2 @ A @ B @ C @ D @ E ) @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(87,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(88,plain,
( ( ! [A: $i] : ( v1_relat_1 @ ( k6_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(89,plain,
( ( ! [A: $i] :
( ( v1_partfun1 @ ( k6_partfun1 @ A ) @ A @ A )
& ( m2_relset_1 @ ( k6_partfun1 @ A ) @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_relat_1 @ B ) )
=> ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(91,plain,
$true = $true,
inference(unfold_def,[status(thm)],[41]) ).
thf(92,plain,
$true = $true,
inference(unfold_def,[status(thm)],[42]) ).
thf(93,plain,
$true = $true,
inference(unfold_def,[status(thm)],[43]) ).
thf(94,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(95,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(96,plain,
( ( ! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v3_relat_2 @ A )
& ( v8_relat_2 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_relat_2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(98,plain,
( ( ! [SY95: $i,SY96: $i] :
( ( m2_relset_1 @ SY96 @ sK1_A @ SY95 )
=> ( ( k9_relset_2 @ sK1_A @ sK1_A @ SY95 @ ( k6_partfun1 @ sK1_A ) @ SY96 )
= ( k9_relset_2 @ sK1_A @ SY95 @ SY95 @ SY96 @ ( k6_partfun1 @ SY95 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[50]) ).
thf(99,plain,
( ( ! [SY97: $i] :
( ( m2_relset_1 @ SY97 @ sK1_A @ sK2_SY95 )
=> ( ( k9_relset_2 @ sK1_A @ sK1_A @ sK2_SY95 @ ( k6_partfun1 @ sK1_A ) @ SY97 )
= ( k9_relset_2 @ sK1_A @ sK2_SY95 @ sK2_SY95 @ SY97 @ ( k6_partfun1 @ sK2_SY95 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(100,plain,
( ( ( m2_relset_1 @ sK3_SY97 @ sK1_A @ sK2_SY95 )
=> ( ( k9_relset_2 @ sK1_A @ sK1_A @ sK2_SY95 @ ( k6_partfun1 @ sK1_A ) @ sK3_SY97 )
= ( k9_relset_2 @ sK1_A @ sK2_SY95 @ sK2_SY95 @ sK3_SY97 @ ( k6_partfun1 @ sK2_SY95 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(101,plain,
( ( m2_relset_1 @ sK3_SY97 @ sK1_A @ sK2_SY95 )
= $true ),
inference(standard_cnf,[status(thm)],[100]) ).
thf(102,plain,
( ( ( k9_relset_2 @ sK1_A @ sK1_A @ sK2_SY95 @ ( k6_partfun1 @ sK1_A ) @ sK3_SY97 )
= ( k9_relset_2 @ sK1_A @ sK2_SY95 @ sK2_SY95 @ sK3_SY97 @ ( k6_partfun1 @ sK2_SY95 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[100]) ).
thf(103,plain,
( ( ( k9_relset_2 @ sK1_A @ sK1_A @ sK2_SY95 @ ( k6_partfun1 @ sK1_A ) @ sK3_SY97 )
!= ( k9_relset_2 @ sK1_A @ sK2_SY95 @ sK2_SY95 @ sK3_SY97 @ ( k6_partfun1 @ sK2_SY95 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[102]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ~ ( r2_hidden @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(105,plain,
( ( ! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v3_relat_2 @ A )
& ( v8_relat_2 @ A ) )
=> ( ( v1_relat_1 @ A )
& ( v1_relat_2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(106,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
=> ( v1_relat_1 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(108,plain,
$true = $true,
inference(copy,[status(thm)],[93]) ).
thf(109,plain,
$true = $true,
inference(copy,[status(thm)],[92]) ).
thf(110,plain,
$true = $true,
inference(copy,[status(thm)],[91]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_relat_1 @ B ) )
=> ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(112,plain,
( ( ! [A: $i] :
( ( v1_partfun1 @ ( k6_partfun1 @ A ) @ A @ A )
& ( m2_relset_1 @ ( k6_partfun1 @ A ) @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(113,plain,
( ( ! [A: $i] : ( v1_relat_1 @ ( k6_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( m2_relset_1 @ ( k7_relset_1 @ A @ B @ C @ D @ E @ F ) @ A @ D ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
& ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
=> ( m2_relset_1 @ ( k9_relset_2 @ A @ B @ C @ D @ E ) @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(116,plain,
$true = $true,
inference(copy,[status(thm)],[85]) ).
thf(117,plain,
$true = $true,
inference(copy,[status(thm)],[84]) ).
thf(118,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m1_relset_1 @ C @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(120,plain,
( ( ! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(121,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] : ( m2_relset_1 @ C @ A @ B ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(122,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ B ) )
=> ( ( v1_xboole_0 @ ( k5_relat_1 @ B @ A ) )
& ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(123,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 )
& ( v3_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(124,plain,
( ( ! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(126,plain,
( ( ! [A: $i] :
( ( v1_relat_1 @ ( k6_relat_1 @ A ) )
& ( v1_funct_1 @ ( k6_relat_1 @ A ) )
& ( v1_relat_2 @ ( k6_relat_1 @ A ) )
& ( v3_relat_2 @ ( k6_relat_1 @ A ) )
& ( v4_relat_2 @ ( k6_relat_1 @ A ) )
& ( v8_relat_2 @ ( k6_relat_1 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(127,plain,
( ( ( v1_xboole_0 @ k1_xboole_0 )
& ( v1_relat_1 @ k1_xboole_0 ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(128,plain,
( ( ! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ~ ( v1_xboole_0 @ B ) )
=> ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(129,plain,
( ( ! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ B ) )
=> ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) )
& ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(130,plain,
( ( ? [A: $i] :
( ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(131,plain,
( ( ! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ~ ( v1_xboole_0 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
? [C: $i] :
( ( m1_relset_1 @ C @ A @ B )
& ( v1_relat_1 @ C )
& ( v1_funct_1 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(133,plain,
( ( ? [A: $i] :
( ~ ( v1_xboole_0 @ A )
& ( v1_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(134,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(135,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( m1_relset_1 @ B @ A @ A )
& ( v1_relat_1 @ B )
& ( v1_relat_2 @ B )
& ( v3_relat_2 @ B )
& ( v4_relat_2 @ B )
& ( v8_relat_2 @ B )
& ( v1_partfun1 @ B @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(136,plain,
( ( ? [A: $i] :
( ( v1_relat_1 @ A )
& ( v3_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(137,plain,
( ( ! [A: $i] :
( ( k6_partfun1 @ A )
= ( k6_relat_1 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(138,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( m1_relset_1 @ E @ A @ B )
& ( m1_relset_1 @ F @ C @ D ) )
=> ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
= ( k5_relat_1 @ E @ F ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(139,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
& ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
=> ( ( k9_relset_2 @ A @ B @ C @ D @ E )
= ( k5_relat_1 @ D @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(140,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(141,plain,
( ( ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(142,plain,
( ( ! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
=> ( ( ( k7_relset_1 @ A @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
= C )
& ( ( k7_relset_1 @ A @ B @ B @ B @ C @ ( k6_partfun1 @ B ) )
= C ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(144,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(146,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(147,plain,
( ( ! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(148,plain,
( ( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(150,plain,
( ( ! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(151,plain,
( ( m2_relset_1 @ sK3_SY97 @ sK1_A @ sK2_SY95 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(152,plain,
( ( ( k9_relset_2 @ sK1_A @ sK1_A @ sK2_SY95 @ ( k6_partfun1 @ sK1_A ) @ sK3_SY97 )
!= ( k9_relset_2 @ sK1_A @ sK2_SY95 @ sK2_SY95 @ sK3_SY97 @ ( k6_partfun1 @ sK2_SY95 ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) )
| ~ ( m1_subset_1 @ SX4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX1 @ SX2 ) ) ) )
| ( m2_relset_1 @ ( k9_relset_2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(154,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(155,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SX4 @ SX0 @ SX1 )
| ~ ( m1_relset_1 @ SX5 @ SX2 @ SX3 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(156,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ~ ( v1_xboole_0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(157,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SX3 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) )
| ~ ( m1_subset_1 @ SX4 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX1 @ SX2 ) ) ) )
| ( ( k9_relset_2 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
= ( k5_relat_1 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(158,plain,
( ( ~ ( ~ ~ ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) )
| ~ ( v3_relat_1 @ k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(159,plain,
( ( ! [SX0: $i] :
~ ( ~ ( v1_partfun1 @ ( k6_partfun1 @ SX0 ) @ SX0 @ SX0 )
| ~ ( m2_relset_1 @ ( k6_partfun1 @ SX0 ) @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(160,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SX4 @ SX0 @ SX1 )
| ~ ( m1_relset_1 @ SX5 @ SX2 @ SX3 ) )
| ( ( k7_relset_1 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
= ( k5_relat_1 @ SX4 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(161,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( v1_relat_1 @ SX2 ) )
| ~ ( v1_funct_1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(162,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX2 ) ) )
| ( m1_subset_1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(163,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) )
| ( v1_relat_1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(164,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(165,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ~ ( v1_xboole_0 @ SX1 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(166,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_subset_1 @ SX2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(167,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(168,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_relat_1 @ SX1 ) )
| ( v1_relat_1 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(169,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(170,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(171,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX1 ) )
| ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SX0 @ SX1 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(172,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SX0 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SX0 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SX0 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SX0 ) ) )
| ~ ( v4_relat_2 @ ( k6_relat_1 @ SX0 ) ) )
| ~ ( v8_relat_2 @ ( k6_relat_1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(173,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v3_relat_1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(174,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(175,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( m1_subset_1 @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(176,plain,
( ( ! [SX0: $i] :
( ~ ( v1_xboole_0 @ SX0 )
| ( SX0 = k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(177,plain,
( ( ~ ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(178,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( m1_subset_1 @ SX0 @ SX1 )
| ( v1_xboole_0 @ SX1 )
| ( r2_hidden @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(180,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ( v1_xboole_0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(181,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ~ ( ( ( k7_relset_1 @ SX0 @ SX0 @ SX0 @ SX1 @ ( k6_partfun1 @ SX0 ) @ SX2 )
!= SX2 )
| ( ( k7_relset_1 @ SX0 @ SX1 @ SX1 @ SX1 @ SX2 @ ( k6_partfun1 @ SX1 ) )
!= SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(182,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SX1 @ SX0 @ SX0 )
| ~ ( v1_relat_1 @ SX1 ) )
| ~ ( v1_relat_2 @ SX1 ) )
| ~ ( v3_relat_2 @ SX1 ) )
| ~ ( v4_relat_2 @ SX1 ) )
| ~ ( v8_relat_2 @ SX1 ) )
| ~ ( v1_partfun1 @ SX1 @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(183,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v3_relat_2 @ SX0 ) )
| ~ ( v8_relat_2 @ SX0 ) )
| ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v1_relat_2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(184,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX1 ) )
| ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SX1 @ SX0 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(185,plain,
( ( ! [SX0: $i] :
( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( m1_subset_1 @ SX1 @ ( k1_zfmisc_1 @ SX0 ) )
| ~ ~ ( v1_xboole_0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(186,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m1_relset_1 @ SX2 @ SX0 @ SX1 ) )
| ~ ( ~ ( m1_relset_1 @ SX2 @ SX0 @ SX1 )
| ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ( m2_relset_1 @ SX2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(188,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) )
| ( r1_tarski @ SX0 @ SX1 ) )
| ~ ( ~ ( r1_tarski @ SX0 @ SX1 )
| ( m1_subset_1 @ SX0 @ ( k1_zfmisc_1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(189,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( r2_hidden @ SX0 @ SX1 )
| ~ ( r2_hidden @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(190,plain,
! [SV1: $i] :
( ( v1_relat_1 @ ( k6_relat_1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(191,plain,
! [SV2: $i] :
( ( ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(192,plain,
! [SV3: $i] :
( ( ! [SY98: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ SV3 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(193,plain,
! [SV4: $i] :
( ( ( k6_partfun1 @ SV4 )
= ( k6_relat_1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(194,plain,
! [SV5: $i] :
( ( ! [SY99: $i] : ( r1_tarski @ SV5 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(195,plain,
( ( ( k9_relset_2 @ sK1_A @ sK1_A @ sK2_SY95 @ ( k6_partfun1 @ sK1_A ) @ sK3_SY97 )
= ( k9_relset_2 @ sK1_A @ sK2_SY95 @ sK2_SY95 @ sK3_SY97 @ ( k6_partfun1 @ sK2_SY95 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(196,plain,
! [SV6: $i] :
( ( ! [SY100: $i,SY101: $i,SY102: $i,SY103: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY102 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SY100 ) ) )
| ~ ( m1_subset_1 @ SY103 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SY100 @ SY101 ) ) ) )
| ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SY100 @ SY101 @ SY102 @ SY103 ) @ SV6 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(197,plain,
! [SV7: $i] :
( ( ! [SY104: $i] :
~ ~ ( ~ ( r2_hidden @ SV7 @ SY104 )
| ~ ( v1_xboole_0 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(198,plain,
! [SV8: $i] :
( ( ! [SY105: $i,SY106: $i,SY107: $i,SY108: $i,SY109: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY108 @ SV8 @ SY105 )
| ~ ( m1_relset_1 @ SY109 @ SY106 @ SY107 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SY105 @ SY106 @ SY107 @ SY108 @ SY109 ) @ SV8 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(199,plain,
! [SV9: $i] :
( ( ! [SY110: $i,SY111: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV9 @ SY110 )
| ~ ( m1_subset_1 @ SY110 @ ( k1_zfmisc_1 @ SY111 ) ) )
| ~ ( v1_xboole_0 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(200,plain,
! [SV10: $i] :
( ( ! [SY112: $i,SY113: $i,SY114: $i,SY115: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY114 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SY112 ) ) )
| ~ ( m1_subset_1 @ SY115 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SY112 @ SY113 ) ) ) )
| ( ( k9_relset_2 @ SV10 @ SY112 @ SY113 @ SY114 @ SY115 )
= ( k5_relat_1 @ SY114 @ SY115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(201,plain,
( ( ~ ~ ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) )
| ~ ( v3_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(202,plain,
! [SV11: $i] :
( ( ~ ( ~ ( v1_partfun1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 )
| ~ ( m2_relset_1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(203,plain,
! [SV12: $i] :
( ( ! [SY116: $i,SY117: $i,SY118: $i,SY119: $i,SY120: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY119 @ SV12 @ SY116 )
| ~ ( m1_relset_1 @ SY120 @ SY117 @ SY118 ) )
| ( ( k7_relset_1 @ SV12 @ SY116 @ SY117 @ SY118 @ SY119 @ SY120 )
= ( k5_relat_1 @ SY119 @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(204,plain,
! [SV13: $i] :
( ( ! [SY121: $i] :
~ ! [SY122: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY122 @ SV13 @ SY121 )
| ~ ( v1_relat_1 @ SY122 ) )
| ~ ( v1_funct_1 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(205,plain,
! [SV14: $i] :
( ( ! [SY123: $i,SY124: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV14 @ SY123 )
| ~ ( m1_subset_1 @ SY123 @ ( k1_zfmisc_1 @ SY124 ) ) )
| ( m1_subset_1 @ SV14 @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(206,plain,
! [SV15: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ( m1_subset_1 @ SY126 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SY125 ) ) )
| ( v1_relat_1 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(207,plain,
! [SV16: $i] :
( ( ~ ! [SY127: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY127 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( v1_xboole_0 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(208,plain,
! [SV17: $i] :
( ( ! [SY128: $i] :
( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV17 )
| ~ ~ ( v1_xboole_0 @ SY128 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SY128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(209,plain,
! [SV18: $i] :
( ( ! [SY129: $i,SY130: $i] :
( ~ ( m2_relset_1 @ SY130 @ SV18 @ SY129 )
| ( m1_subset_1 @ SY130 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV18 @ SY129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(210,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(211,plain,
! [SV19: $i] :
( ( ! [SY131: $i] :
( ~ ~ ( ~ ( v1_relat_1 @ SV19 )
| ~ ( v1_relat_1 @ SY131 ) )
| ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(212,plain,
! [SV20: $i] :
( ( ~ ( v1_xboole_0 @ SV20 )
| ( v1_relat_1 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(213,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( v1_xboole_0 @ SX0 )
| ~ ( v1_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(214,plain,
! [SV21: $i] :
( ( ! [SY132: $i] :
( ~ ~ ( ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_relat_1 @ SY132 ) )
| ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SY132 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SY132 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(215,plain,
! [SV22: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v8_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(216,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( v1_relat_1 @ SX0 )
| ~ ( v3_relat_1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(217,plain,
! [SV23: $i] :
( ( ! [SY133: $i] :
~ ! [SY134: $i] :
~ ( m1_relset_1 @ SY134 @ SV23 @ SY133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(218,plain,
! [SV24: $i] :
( ( ~ ! [SY135: $i] :
~ ( m1_subset_1 @ SY135 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(219,plain,
! [SV25: $i] :
( ( ~ ( v1_xboole_0 @ SV25 )
| ( SV25 = k1_xboole_0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(220,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(221,plain,
! [SV26: $i] :
( ( ! [SY136: $i] :
( ~ ( m1_subset_1 @ SV26 @ SY136 )
| ( v1_xboole_0 @ SY136 )
| ( r2_hidden @ SV26 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(222,plain,
! [SV27: $i] :
( ( ! [SY137: $i] :
( ~ ( r2_hidden @ SV27 @ SY137 )
| ( m1_subset_1 @ SV27 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(223,plain,
! [SV28: $i] :
( ( ! [SY138: $i] :
~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SY138 ) ) )
| ~ ( v1_xboole_0 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(224,plain,
! [SV29: $i] :
( ( ! [SY139: $i,SY140: $i] :
( ~ ( m2_relset_1 @ SY140 @ SV29 @ SY139 )
| ~ ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SY139 @ ( k6_partfun1 @ SV29 ) @ SY140 )
!= SY140 )
| ( ( k7_relset_1 @ SV29 @ SY139 @ SY139 @ SY139 @ SY140 @ ( k6_partfun1 @ SY139 ) )
!= SY140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(225,plain,
! [SV30: $i] :
( ( ~ ! [SY141: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY141 @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ SY141 ) )
| ~ ( v1_relat_2 @ SY141 ) )
| ~ ( v3_relat_2 @ SY141 ) )
| ~ ( v4_relat_2 @ SY141 ) )
| ~ ( v8_relat_2 @ SY141 ) )
| ~ ( v1_partfun1 @ SY141 @ SV30 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(226,plain,
! [SV31: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) )
| ~ ( v8_relat_2 @ SV31 ) )
| ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(227,plain,
! [SV32: $i] :
( ( ! [SY142: $i] :
( ~ ~ ( ~ ( v1_xboole_0 @ SV32 )
| ~ ( v1_relat_1 @ SY142 ) )
| ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SY142 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SY142 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(228,plain,
! [SV33: $i] :
( ( ~ ~ ( v1_xboole_0 @ SV33 )
| ~ ! [SY143: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY143 @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(229,plain,
! [SV34: $i] :
( ( ! [SY144: $i,SY145: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SY145 @ SV34 @ SY144 )
| ( m1_relset_1 @ SY145 @ SV34 @ SY144 ) )
| ~ ( ~ ( m1_relset_1 @ SY145 @ SV34 @ SY144 )
| ( m2_relset_1 @ SY145 @ SV34 @ SY144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(230,plain,
! [SV35: $i] :
( ( ! [SY146: $i] :
~ ! [SY147: $i] :
~ ( m2_relset_1 @ SY147 @ SV35 @ SY146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(231,plain,
! [SV36: $i] :
( ( ! [SY148: $i] :
~ ( ~ ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SY148 ) )
| ( r1_tarski @ SV36 @ SY148 ) )
| ~ ( ~ ( r1_tarski @ SV36 @ SY148 )
| ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SY148 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(232,plain,
! [SV37: $i] :
( ( ! [SY149: $i] :
( ~ ( r2_hidden @ SV37 @ SY149 )
| ~ ( r2_hidden @ SY149 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(233,plain,
! [SV2: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(234,plain,
! [SV38: $i,SV3: $i] :
( ( v1_relat_1 @ ( k2_zfmisc_1 @ SV3 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(235,plain,
! [SV5: $i] :
( ( r1_tarski @ SV5 @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(236,plain,
! [SV40: $i,SV6: $i] :
( ( ! [SY150: $i,SY151: $i,SY152: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY151 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SY152 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SY150 ) ) ) )
| ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SY150 @ SY151 @ SY152 ) @ SV6 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(237,plain,
! [SV41: $i,SV7: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV7 @ SV41 )
| ~ ( v1_xboole_0 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(238,plain,
! [SV42: $i,SV8: $i] :
( ( ! [SY153: $i,SY154: $i,SY155: $i,SY156: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY155 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SY156 @ SY153 @ SY154 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SY153 @ SY154 @ SY155 @ SY156 ) @ SV8 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(239,plain,
! [SV43: $i,SV9: $i] :
( ( ! [SY157: $i] :
~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SY157 ) ) )
| ~ ( v1_xboole_0 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(240,plain,
! [SV44: $i,SV10: $i] :
( ( ! [SY158: $i,SY159: $i,SY160: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY159 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SY160 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SY158 ) ) ) )
| ( ( k9_relset_2 @ SV10 @ SV44 @ SY158 @ SY159 @ SY160 )
= ( k5_relat_1 @ SY159 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(241,plain,
( ( ~ ~ ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(242,plain,
( ( ~ ( v3_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(243,plain,
! [SV11: $i] :
( ( ~ ( v1_partfun1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 )
| ~ ( m2_relset_1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(244,plain,
! [SV45: $i,SV12: $i] :
( ( ! [SY161: $i,SY162: $i,SY163: $i,SY164: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY163 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SY164 @ SY161 @ SY162 ) )
| ( ( k7_relset_1 @ SV12 @ SV45 @ SY161 @ SY162 @ SY163 @ SY164 )
= ( k5_relat_1 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(245,plain,
! [SV46: $i,SV13: $i] :
( ( ~ ! [SY165: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY165 @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ SY165 ) )
| ~ ( v1_funct_1 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(246,plain,
! [SV47: $i,SV14: $i] :
( ( ! [SY166: $i] :
( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV47 )
| ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SY166 ) ) )
| ( m1_subset_1 @ SV14 @ SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(247,plain,
! [SV48: $i,SV15: $i] :
( ( ! [SY167: $i] :
( ~ ( m1_subset_1 @ SY167 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV48 ) ) )
| ( v1_relat_1 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(248,plain,
! [SV16: $i] :
( ( ! [SY127: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY127 @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( v1_xboole_0 @ SY127 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(249,plain,
! [SV49: $i,SV17: $i] :
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV17 )
| ~ ~ ( v1_xboole_0 @ SV49 ) )
| ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(250,plain,
! [SV50: $i,SV18: $i] :
( ( ! [SY168: $i] :
( ~ ( m2_relset_1 @ SY168 @ SV18 @ SV50 )
| ( m1_subset_1 @ SY168 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV18 @ SV50 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(251,plain,
( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_relat_1 @ sK4_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(252,plain,
! [SV51: $i,SV19: $i] :
( ( ~ ~ ( ~ ( v1_relat_1 @ SV19 )
| ~ ( v1_relat_1 @ SV51 ) )
| ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(253,plain,
! [SV20: $i] :
( ( ( ~ ( v1_xboole_0 @ SV20 ) )
= $true )
| ( ( v1_relat_1 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(254,plain,
( ( ~ ~ ( ~ ( v1_xboole_0 @ sK5_SX0 )
| ~ ( v1_relat_1 @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(255,plain,
! [SV52: $i,SV21: $i] :
( ( ~ ~ ( ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_relat_1 @ SV52 ) )
| ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(256,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v8_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(257,plain,
( ( ~ ~ ( ~ ( v1_relat_1 @ sK6_SX0 )
| ~ ( v3_relat_1 @ sK6_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(258,plain,
! [SV53: $i,SV23: $i] :
( ( ~ ! [SY169: $i] :
~ ( m1_relset_1 @ SY169 @ SV23 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(259,plain,
! [SV24: $i] :
( ( ! [SY135: $i] :
~ ( m1_subset_1 @ SY135 @ SV24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(260,plain,
! [SV25: $i] :
( ( ( ~ ( v1_xboole_0 @ SV25 ) )
= $true )
| ( ( SV25 = k1_xboole_0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(261,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(262,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(263,plain,
! [SV54: $i,SV26: $i] :
( ( ~ ( m1_subset_1 @ SV26 @ SV54 )
| ( v1_xboole_0 @ SV54 )
| ( r2_hidden @ SV26 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(264,plain,
! [SV55: $i,SV27: $i] :
( ( ~ ( r2_hidden @ SV27 @ SV55 )
| ( m1_subset_1 @ SV27 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(265,plain,
! [SV56: $i,SV28: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SV56 ) ) )
| ~ ( v1_xboole_0 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(266,plain,
! [SV57: $i,SV29: $i] :
( ( ! [SY170: $i] :
( ~ ( m2_relset_1 @ SY170 @ SV29 @ SV57 )
| ~ ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SY170 )
!= SY170 )
| ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SY170 @ ( k6_partfun1 @ SV57 ) )
!= SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(267,plain,
! [SV30: $i] :
( ( ! [SY141: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY141 @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ SY141 ) )
| ~ ( v1_relat_2 @ SY141 ) )
| ~ ( v3_relat_2 @ SY141 ) )
| ~ ( v4_relat_2 @ SY141 ) )
| ~ ( v8_relat_2 @ SY141 ) )
| ~ ( v1_partfun1 @ SY141 @ SV30 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(268,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) )
| ~ ( v8_relat_2 @ SV31 ) ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(269,plain,
! [SV58: $i,SV32: $i] :
( ( ~ ~ ( ~ ( v1_xboole_0 @ SV32 )
| ~ ( v1_relat_1 @ SV58 ) )
| ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(270,plain,
! [SV33: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV33 ) )
= $true )
| ( ( ~ ! [SY143: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY143 @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ SY143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(271,plain,
! [SV59: $i,SV34: $i] :
( ( ! [SY171: $i] :
~ ( ~ ( ~ ( m2_relset_1 @ SY171 @ SV34 @ SV59 )
| ( m1_relset_1 @ SY171 @ SV34 @ SV59 ) )
| ~ ( ~ ( m1_relset_1 @ SY171 @ SV34 @ SV59 )
| ( m2_relset_1 @ SY171 @ SV34 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(272,plain,
! [SV60: $i,SV35: $i] :
( ( ~ ! [SY172: $i] :
~ ( m2_relset_1 @ SY172 @ SV35 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(273,plain,
! [SV61: $i,SV36: $i] :
( ( ~ ( ~ ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV36 @ SV61 ) )
| ~ ( ~ ( r1_tarski @ SV36 @ SV61 )
| ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(274,plain,
! [SV62: $i,SV37: $i] :
( ( ~ ( r2_hidden @ SV37 @ SV62 )
| ~ ( r2_hidden @ SV62 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(275,plain,
! [SV63: $i,SV40: $i,SV6: $i] :
( ( ! [SY173: $i,SY174: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY173 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SY174 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) )
| ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SY173 @ SY174 ) @ SV6 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(276,plain,
! [SV41: $i,SV7: $i] :
( ( ~ ( ~ ( r2_hidden @ SV7 @ SV41 )
| ~ ( v1_xboole_0 @ SV41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(277,plain,
! [SV64: $i,SV42: $i,SV8: $i] :
( ( ! [SY175: $i,SY176: $i,SY177: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY176 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SY177 @ SV64 @ SY175 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SY175 @ SY176 @ SY177 ) @ SV8 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(278,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) )
| ~ ( v1_xboole_0 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(279,plain,
! [SV66: $i,SV44: $i,SV10: $i] :
( ( ! [SY178: $i,SY179: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SY178 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SY179 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) )
| ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SY178 @ SY179 )
= ( k5_relat_1 @ SY178 @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(280,plain,
( ( ~ ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(281,plain,
( ( v3_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(282,plain,
! [SV11: $i] :
( ( ~ ( v1_partfun1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(283,plain,
! [SV11: $i] :
( ( ~ ( m2_relset_1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(284,plain,
! [SV67: $i,SV45: $i,SV12: $i] :
( ( ! [SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY181 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SY182 @ SV67 @ SY180 ) )
| ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SY180 @ SY181 @ SY182 )
= ( k5_relat_1 @ SY181 @ SY182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(285,plain,
! [SV46: $i,SV13: $i] :
( ( ! [SY165: $i] :
~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ SY165 @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ SY165 ) )
| ~ ( v1_funct_1 @ SY165 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(286,plain,
! [SV68: $i,SV47: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV47 )
| ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) ) )
| ( m1_subset_1 @ SV14 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(287,plain,
! [SV48: $i,SV15: $i,SV69: $i] :
( ( ~ ( m1_subset_1 @ SV69 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV48 ) ) )
| ( v1_relat_1 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(288,plain,
! [SV16: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK7_SY127 @ SV16 ) @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( v1_xboole_0 @ ( sK7_SY127 @ SV16 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[248]) ).
thf(289,plain,
! [SV49: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( v1_xboole_0 @ SV17 )
| ~ ~ ( v1_xboole_0 @ SV49 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(290,plain,
! [SV50: $i,SV18: $i,SV70: $i] :
( ( ~ ( m2_relset_1 @ SV70 @ SV18 @ SV50 )
| ( m1_subset_1 @ SV70 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV18 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(291,plain,
( ( ~ ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_relat_1 @ sK4_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(292,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( v1_relat_1 @ SV19 )
| ~ ( v1_relat_1 @ SV51 ) ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(293,plain,
! [SV20: $i] :
( ( ( v1_xboole_0 @ SV20 )
= $false )
| ( ( v1_relat_1 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(294,plain,
( ( ~ ( ~ ( v1_xboole_0 @ sK5_SX0 )
| ~ ( v1_relat_1 @ sK5_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(295,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_relat_1 @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(296,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(297,plain,
! [SV22: $i] :
( ( ~ ( v8_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(298,plain,
( ( ~ ( ~ ( v1_relat_1 @ sK6_SX0 )
| ~ ( v3_relat_1 @ sK6_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(299,plain,
! [SV53: $i,SV23: $i] :
( ( ! [SY169: $i] :
~ ( m1_relset_1 @ SY169 @ SV23 @ SV53 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(300,plain,
! [SV24: $i] :
( ( ~ ( m1_subset_1 @ ( sK8_SY135 @ SV24 ) @ SV24 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[259]) ).
thf(301,plain,
! [SV25: $i] :
( ( ( v1_xboole_0 @ SV25 )
= $false )
| ( ( SV25 = k1_xboole_0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(302,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(303,plain,
( ( v1_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(304,plain,
! [SV54: $i,SV26: $i] :
( ( ( ~ ( m1_subset_1 @ SV26 @ SV54 ) )
= $true )
| ( ( ( v1_xboole_0 @ SV54 )
| ( r2_hidden @ SV26 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(305,plain,
! [SV55: $i,SV27: $i] :
( ( ( ~ ( r2_hidden @ SV27 @ SV55 ) )
= $true )
| ( ( m1_subset_1 @ SV27 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(306,plain,
! [SV56: $i,SV28: $i] :
( ( ~ ( ~ ~ ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SV56 ) ) )
| ~ ( v1_xboole_0 @ SV56 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(307,plain,
! [SV57: $i,SV29: $i,SV71: $i] :
( ( ~ ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
| ~ ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SV71 )
!= SV71 )
| ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SV71 @ ( k6_partfun1 @ SV57 ) )
!= SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(308,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_partfun1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[267]) ).
thf(309,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) )
| ~ ( v8_relat_2 @ SV31 ) ) )
= $false )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(310,plain,
! [SV58: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( v1_xboole_0 @ SV32 )
| ~ ( v1_relat_1 @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(311,plain,
! [SV33: $i] :
( ( ( ~ ( v1_xboole_0 @ SV33 ) )
= $false )
| ( ( ~ ! [SY143: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY143 @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ SY143 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(312,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ~ ( ~ ( ~ ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m1_relset_1 @ SV72 @ SV34 @ SV59 ) )
| ~ ( ~ ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m2_relset_1 @ SV72 @ SV34 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(313,plain,
! [SV60: $i,SV35: $i] :
( ( ! [SY172: $i] :
~ ( m2_relset_1 @ SY172 @ SV35 @ SV60 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(314,plain,
! [SV61: $i,SV36: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV36 @ SV61 ) )
| ~ ( ~ ( r1_tarski @ SV36 @ SV61 )
| ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(315,plain,
! [SV62: $i,SV37: $i] :
( ( ( ~ ( r2_hidden @ SV37 @ SV62 ) )
= $true )
| ( ( ~ ( r2_hidden @ SV62 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(316,plain,
! [SV63: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ! [SY183: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SY183 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) )
| ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SY183 ) @ SV6 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(317,plain,
! [SV41: $i,SV7: $i] :
( ( ~ ( r2_hidden @ SV7 @ SV41 )
| ~ ( v1_xboole_0 @ SV41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(318,plain,
! [SV74: $i,SV64: $i,SV42: $i,SV8: $i] :
( ( ! [SY184: $i,SY185: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY184 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SY185 @ SV64 @ SV74 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SY184 @ SY185 ) @ SV8 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(319,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ~ ( ~ ~ ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) )
| ~ ( v1_xboole_0 @ SV65 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(320,plain,
! [SV66: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ! [SY186: $i] :
( ~ ~ ( ~ ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SY186 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) )
| ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SY186 )
= ( k5_relat_1 @ SV75 @ SY186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(321,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(322,plain,
! [SV11: $i] :
( ( v1_partfun1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(323,plain,
! [SV11: $i] :
( ( m2_relset_1 @ ( k6_partfun1 @ SV11 ) @ SV11 @ SV11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(324,plain,
! [SV76: $i,SV67: $i,SV45: $i,SV12: $i] :
( ( ! [SY187: $i,SY188: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SY187 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SY188 @ SV67 @ SV76 ) )
| ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SY187 @ SY188 )
= ( k5_relat_1 @ SY187 @ SY188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(325,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
| ~ ( v1_funct_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[285]) ).
thf(326,plain,
! [SV68: $i,SV47: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV14 @ SV47 )
| ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(327,plain,
! [SV48: $i,SV15: $i,SV69: $i] :
( ( ( ~ ( m1_subset_1 @ SV69 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV48 ) ) ) )
= $true )
| ( ( v1_relat_1 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(328,plain,
! [SV16: $i] :
( ( ~ ( ~ ( m1_subset_1 @ ( sK7_SY127 @ SV16 ) @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( v1_xboole_0 @ ( sK7_SY127 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(329,plain,
! [SV49: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( v1_xboole_0 @ SV17 )
| ~ ~ ( v1_xboole_0 @ SV49 ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV50: $i,SV18: $i,SV70: $i] :
( ( ( ~ ( m2_relset_1 @ SV70 @ SV18 @ SV50 ) )
= $true )
| ( ( m1_subset_1 @ SV70 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV18 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(331,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SX0 )
| ~ ( v1_relat_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(332,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( ~ ( v1_relat_1 @ SV19 )
| ~ ( v1_relat_1 @ SV51 ) ) )
= $false )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(333,plain,
( ( ~ ( v1_xboole_0 @ sK5_SX0 )
| ~ ( v1_relat_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(334,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_relat_1 @ SV52 ) ) )
= $false )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(335,plain,
! [SV22: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(336,plain,
! [SV22: $i] :
( ( v8_relat_2 @ ( k6_relat_1 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(337,plain,
( ( ~ ( v1_relat_1 @ sK6_SX0 )
| ~ ( v3_relat_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(338,plain,
! [SV23: $i,SV53: $i] :
( ( ~ ( m1_relset_1 @ ( sK11_SY169 @ SV53 @ SV23 ) @ SV23 @ SV53 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[299]) ).
thf(339,plain,
! [SV24: $i] :
( ( m1_subset_1 @ ( sK8_SY135 @ SV24 ) @ SV24 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(340,plain,
! [SV54: $i,SV26: $i] :
( ( ( m1_subset_1 @ SV26 @ SV54 )
= $false )
| ( ( ( v1_xboole_0 @ SV54 )
| ( r2_hidden @ SV26 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(341,plain,
! [SV55: $i,SV27: $i] :
( ( ( r2_hidden @ SV27 @ SV55 )
= $false )
| ( ( m1_subset_1 @ SV27 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV56: $i,SV28: $i] :
( ( ~ ~ ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SV56 ) ) )
| ~ ( v1_xboole_0 @ SV56 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(343,plain,
! [SV57: $i,SV29: $i,SV71: $i] :
( ( ( ~ ( m2_relset_1 @ SV71 @ SV29 @ SV57 ) )
= $true )
| ( ( ~ ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SV71 )
!= SV71 )
| ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SV71 @ ( k6_partfun1 @ SV57 ) )
!= SV71 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(344,plain,
! [SV30: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_partfun1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(345,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) )
| ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(346,plain,
! [SV58: $i,SV32: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV32 )
| ~ ( v1_relat_1 @ SV58 ) ) )
= $false )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(347,plain,
! [SV33: $i] :
( ( ( v1_xboole_0 @ SV33 )
= $true )
| ( ( ~ ! [SY143: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY143 @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ SY143 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(348,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ~ ( ~ ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m1_relset_1 @ SV72 @ SV34 @ SV59 ) )
| ~ ( ~ ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m2_relset_1 @ SV72 @ SV34 @ SV59 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(349,plain,
! [SV35: $i,SV60: $i] :
( ( ~ ( m2_relset_1 @ ( sK12_SY172 @ SV60 @ SV35 ) @ SV35 @ SV60 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(350,plain,
! [SV61: $i,SV36: $i] :
( ( ~ ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV36 @ SV61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(351,plain,
! [SV61: $i,SV36: $i] :
( ( ~ ( ~ ( r1_tarski @ SV36 @ SV61 )
| ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(352,plain,
! [SV62: $i,SV37: $i] :
( ( ( r2_hidden @ SV37 @ SV62 )
= $false )
| ( ( ~ ( r2_hidden @ SV62 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(353,plain,
! [SV63: $i,SV77: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) )
| ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(354,plain,
! [SV41: $i,SV7: $i] :
( ( ( ~ ( r2_hidden @ SV7 @ SV41 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(355,plain,
! [SV74: $i,SV64: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ! [SY189: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SY189 @ SV64 @ SV74 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SY189 ) @ SV8 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(356,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ~ ~ ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) )
| ~ ( v1_xboole_0 @ SV65 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(357,plain,
! [SV66: $i,SV79: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ~ ~ ( ~ ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) )
| ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(358,plain,
( ( ~ ( v1_xboole_0 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(359,plain,
( ( ~ ( v1_relat_1 @ k1_xboole_0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(360,plain,
! [SV76: $i,SV67: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ! [SY190: $i] :
( ~ ~ ( ~ ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SY190 @ SV67 @ SV76 ) )
| ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SY190 )
= ( k5_relat_1 @ SV80 @ SY190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(361,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
| ~ ( v1_funct_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(362,plain,
! [SV68: $i,SV47: $i,SV14: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV14 @ SV47 )
| ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) ) ) )
= $false )
| ( ( m1_subset_1 @ SV14 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(363,plain,
! [SV48: $i,SV15: $i,SV69: $i] :
( ( ( m1_subset_1 @ SV69 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV15 @ SV48 ) ) )
= $false )
| ( ( v1_relat_1 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(364,plain,
! [SV16: $i] :
( ( ~ ( m1_subset_1 @ ( sK7_SY127 @ SV16 ) @ ( k1_zfmisc_1 @ SV16 ) )
| ~ ( v1_xboole_0 @ ( sK7_SY127 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(365,plain,
! [SV49: $i,SV17: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV17 )
| ~ ~ ( v1_xboole_0 @ SV49 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(366,plain,
! [SV50: $i,SV18: $i,SV70: $i] :
( ( ( m2_relset_1 @ SV70 @ SV18 @ SV50 )
= $false )
| ( ( m1_subset_1 @ SV70 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV18 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(367,plain,
( ( ~ ~ ( v1_xboole_0 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(368,plain,
( ( ~ ( v1_relat_1 @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(369,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( v1_relat_1 @ SV19 )
| ~ ( v1_relat_1 @ SV51 ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(370,plain,
( ( ~ ( v1_xboole_0 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(371,plain,
( ( ~ ( v1_relat_1 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(372,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ SV21 )
| ~ ( v1_relat_1 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(373,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(374,plain,
( ( ~ ( v1_relat_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(375,plain,
( ( ~ ( v3_relat_1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(376,plain,
! [SV23: $i,SV53: $i] :
( ( m1_relset_1 @ ( sK11_SY169 @ SV53 @ SV23 ) @ SV23 @ SV53 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(377,plain,
! [SV26: $i,SV54: $i] :
( ( ( v1_xboole_0 @ SV54 )
= $true )
| ( ( r2_hidden @ SV26 @ SV54 )
= $true )
| ( ( m1_subset_1 @ SV26 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(378,plain,
! [SV56: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SV56 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(379,plain,
! [SV57: $i,SV29: $i,SV71: $i] :
( ( ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
= $false )
| ( ( ~ ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SV71 )
!= SV71 )
| ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SV71 @ ( k6_partfun1 @ SV57 ) )
!= SV71 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(380,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_partfun1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(381,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) ) )
= $true )
| ( ( ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(382,plain,
! [SV58: $i,SV32: $i] :
( ( ( ~ ( v1_xboole_0 @ SV32 )
| ~ ( v1_relat_1 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(383,plain,
! [SV33: $i] :
( ( ( ! [SY143: $i] :
~ ~ ( ~ ( m1_subset_1 @ SY143 @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ SY143 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(384,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ~ ( ~ ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m1_relset_1 @ SV72 @ SV34 @ SV59 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(385,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ~ ( ~ ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m2_relset_1 @ SV72 @ SV34 @ SV59 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(386,plain,
! [SV35: $i,SV60: $i] :
( ( m2_relset_1 @ ( sK12_SY172 @ SV60 @ SV35 ) @ SV35 @ SV60 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(387,plain,
! [SV61: $i,SV36: $i] :
( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
| ( r1_tarski @ SV36 @ SV61 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(388,plain,
! [SV61: $i,SV36: $i] :
( ( ~ ( r1_tarski @ SV36 @ SV61 )
| ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(389,plain,
! [SV37: $i,SV62: $i] :
( ( ( r2_hidden @ SV62 @ SV37 )
= $false )
| ( ( r2_hidden @ SV37 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(390,plain,
! [SV63: $i,SV77: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) ) )
= $true )
| ( ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(391,plain,
! [SV41: $i,SV7: $i] :
( ( ( r2_hidden @ SV7 @ SV41 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(392,plain,
! [SV74: $i,SV64: $i,SV81: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SV81 @ SV64 @ SV74 ) )
| ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(393,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(394,plain,
! [SV66: $i,SV79: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) ) )
= $true )
| ( ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(395,plain,
( ( v1_xboole_0 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(396,plain,
( ( v1_relat_1 @ k1_xboole_0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(397,plain,
! [SV76: $i,SV67: $i,SV82: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SV82 @ SV67 @ SV76 ) )
| ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(398,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
| ~ ( v1_funct_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(399,plain,
! [SV68: $i,SV47: $i,SV14: $i] :
( ( ( ~ ( r2_hidden @ SV14 @ SV47 )
| ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(400,plain,
! [SV16: $i] :
( ( ~ ( m1_subset_1 @ ( sK7_SY127 @ SV16 ) @ ( k1_zfmisc_1 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(401,plain,
! [SV16: $i] :
( ( ~ ( v1_xboole_0 @ ( sK7_SY127 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(402,plain,
! [SV49: $i,SV17: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ SV17 ) )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV49 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(403,plain,
( ( ~ ( v1_xboole_0 @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(404,plain,
( ( v1_relat_1 @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(405,plain,
! [SV51: $i,SV19: $i] :
( ( ( ~ ( v1_relat_1 @ SV19 ) )
= $true )
| ( ( ~ ( v1_relat_1 @ SV51 ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(406,plain,
( ( v1_xboole_0 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(407,plain,
( ( v1_relat_1 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(408,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ SV21 ) )
= $true )
| ( ( ~ ( v1_relat_1 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(409,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(410,plain,
! [SV22: $i] :
( ( ~ ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(411,plain,
( ( v1_relat_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(412,plain,
( ( v3_relat_1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(413,plain,
! [SV56: $i,SV28: $i] :
( ( ( ~ ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SV56 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(414,plain,
! [SV71: $i,SV57: $i,SV29: $i] :
( ( ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SV71 )
!= SV71 )
| ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SV71 @ ( k6_partfun1 @ SV57 ) )
!= SV71 ) )
= $false )
| ( ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(415,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(416,plain,
! [SV30: $i] :
( ( ~ ( v1_partfun1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(417,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) ) )
= $false )
| ( ( ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(418,plain,
! [SV58: $i,SV32: $i] :
( ( ( ~ ( v1_xboole_0 @ SV32 ) )
= $true )
| ( ( ~ ( v1_relat_1 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(419,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ( m1_subset_1 @ ( sK13_SY143 @ SV33 ) @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ ( sK13_SY143 @ SV33 ) ) ) )
= $false )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[383]) ).
thf(420,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ~ ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m1_relset_1 @ SV72 @ SV34 @ SV59 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(421,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ~ ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
| ( m2_relset_1 @ SV72 @ SV34 @ SV59 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(422,plain,
! [SV61: $i,SV36: $i] :
( ( ( ~ ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) ) )
= $true )
| ( ( r1_tarski @ SV36 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(423,plain,
! [SV61: $i,SV36: $i] :
( ( ( ~ ( r1_tarski @ SV36 @ SV61 ) )
= $true )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(424,plain,
! [SV63: $i,SV77: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) ) )
= $false )
| ( ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(425,plain,
! [SV7: $i,SV41: $i] :
( ( ( v1_xboole_0 @ SV41 )
= $false )
| ( ( r2_hidden @ SV7 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(426,plain,
! [SV74: $i,SV64: $i,SV81: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SV81 @ SV64 @ SV74 ) ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(427,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ( ~ ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) ) )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(428,plain,
! [SV66: $i,SV79: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) ) )
= $false )
| ( ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(429,plain,
! [SV76: $i,SV67: $i,SV82: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SV82 @ SV67 @ SV76 ) ) )
= $true )
| ( ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(430,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(431,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ( v1_funct_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(432,plain,
! [SV68: $i,SV47: $i,SV14: $i] :
( ( ( ~ ( r2_hidden @ SV14 @ SV47 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(433,plain,
! [SV16: $i] :
( ( m1_subset_1 @ ( sK7_SY127 @ SV16 ) @ ( k1_zfmisc_1 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(434,plain,
! [SV16: $i] :
( ( v1_xboole_0 @ ( sK7_SY127 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(435,plain,
! [SV49: $i,SV17: $i] :
( ( ( ~ ( v1_xboole_0 @ SV17 ) )
= $false )
| ( ( ~ ~ ( v1_xboole_0 @ SV49 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(436,plain,
( ( v1_xboole_0 @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(437,plain,
! [SV51: $i,SV19: $i] :
( ( ( v1_relat_1 @ SV19 )
= $false )
| ( ( ~ ( v1_relat_1 @ SV51 ) )
= $true )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(438,plain,
! [SV52: $i,SV21: $i] :
( ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( ~ ( v1_relat_1 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(439,plain,
! [SV22: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(440,plain,
! [SV22: $i] :
( ( v4_relat_2 @ ( k6_relat_1 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(441,plain,
! [SV56: $i,SV28: $i] :
( ( ( ~ ( v1_xboole_0 @ SV28 )
| ~ ( ( SV28 != SV56 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(442,plain,
! [SV71: $i,SV57: $i,SV29: $i] :
( ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SV71 )
!= SV71 )
= $false )
| ( ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(443,plain,
! [SV71: $i,SV57: $i,SV29: $i] :
( ( ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SV71 @ ( k6_partfun1 @ SV57 ) )
!= SV71 )
= $false )
| ( ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(444,plain,
! [SV30: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(445,plain,
! [SV30: $i] :
( ( v1_partfun1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(446,plain,
! [SV31: $i] :
( ( ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v3_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(447,plain,
! [SV58: $i,SV32: $i] :
( ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( ~ ( v1_relat_1 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(448,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ( m1_subset_1 @ ( sK13_SY143 @ SV33 ) @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ ( sK13_SY143 @ SV33 ) ) ) )
= $true )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(449,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ( ~ ( m2_relset_1 @ SV72 @ SV34 @ SV59 ) )
= $true )
| ( ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(450,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ( ~ ( m1_relset_1 @ SV72 @ SV34 @ SV59 ) )
= $true )
| ( ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(451,plain,
! [SV61: $i,SV36: $i] :
( ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
= $false )
| ( ( r1_tarski @ SV36 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(452,plain,
! [SV61: $i,SV36: $i] :
( ( ( r1_tarski @ SV36 @ SV61 )
= $false )
| ( ( m1_subset_1 @ SV36 @ ( k1_zfmisc_1 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(453,plain,
! [SV63: $i,SV77: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
| ~ ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) )
= $true )
| ( ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(454,plain,
! [SV74: $i,SV64: $i,SV81: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ( ~ ( ~ ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SV81 @ SV64 @ SV74 ) ) )
= $false )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(455,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ( ~ ( r2_hidden @ SV9 @ SV43 )
| ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV65 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(456,plain,
! [SV66: $i,SV79: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ( ~ ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
| ~ ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) )
= $true )
| ( ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(457,plain,
! [SV76: $i,SV67: $i,SV82: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ( ~ ( ~ ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SV82 @ SV67 @ SV76 ) ) )
= $false )
| ( ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(458,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(459,plain,
! [SV13: $i,SV46: $i] :
( ( v1_funct_1 @ ( sK10_SY165 @ SV46 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(460,plain,
! [SV68: $i,SV47: $i,SV14: $i] :
( ( ( r2_hidden @ SV14 @ SV47 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) ) )
= $true )
| ( ( m1_subset_1 @ SV14 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(461,plain,
! [SV49: $i,SV17: $i] :
( ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( ~ ~ ( v1_xboole_0 @ SV49 ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(462,plain,
! [SV19: $i,SV51: $i] :
( ( ( v1_relat_1 @ SV51 )
= $false )
| ( ( v1_relat_1 @ SV19 )
= $false )
| ( ( v1_relat_1 @ ( k5_relat_1 @ SV19 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(463,plain,
! [SV21: $i,SV52: $i] :
( ( ( v1_relat_1 @ SV52 )
= $false )
| ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(464,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(465,plain,
! [SV56: $i,SV28: $i] :
( ( ( ~ ( v1_xboole_0 @ SV28 ) )
= $true )
| ( ( ~ ( ( SV28 != SV56 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(466,plain,
! [SV71: $i,SV57: $i,SV29: $i] :
( ( ( ( k7_relset_1 @ SV29 @ SV29 @ SV29 @ SV57 @ ( k6_partfun1 @ SV29 ) @ SV71 )
= SV71 )
= $true )
| ( ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(467,plain,
! [SV71: $i,SV57: $i,SV29: $i] :
( ( ( ( k7_relset_1 @ SV29 @ SV57 @ SV57 @ SV57 @ SV71 @ ( k6_partfun1 @ SV57 ) )
= SV71 )
= $true )
| ( ( m2_relset_1 @ SV71 @ SV29 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(468,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(469,plain,
! [SV31: $i] :
( ( ( ~ ( v1_relat_1 @ SV31 ) )
= $true )
| ( ( ~ ( v3_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(470,plain,
! [SV32: $i,SV58: $i] :
( ( ( v1_relat_1 @ SV58 )
= $false )
| ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( ~ ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(471,plain,
! [SV33: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK13_SY143 @ SV33 ) @ ( k1_zfmisc_1 @ SV33 ) )
| ~ ~ ( v1_xboole_0 @ ( sK13_SY143 @ SV33 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(472,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
= $false )
| ( ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(473,plain,
! [SV59: $i,SV34: $i,SV72: $i] :
( ( ( m1_relset_1 @ SV72 @ SV34 @ SV59 )
= $false )
| ( ( m2_relset_1 @ SV72 @ SV34 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(474,plain,
! [SV63: $i,SV77: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ( ~ ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) )
= $true )
| ( ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(475,plain,
! [SV74: $i,SV64: $i,SV81: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ( ~ ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
| ~ ( m1_relset_1 @ SV81 @ SV64 @ SV74 ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(476,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ( ~ ( r2_hidden @ SV9 @ SV43 ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(477,plain,
! [SV66: $i,SV79: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ( ~ ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) ) )
= $true )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) )
= $true )
| ( ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(478,plain,
! [SV76: $i,SV67: $i,SV82: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ( ~ ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
| ~ ( m1_relset_1 @ SV82 @ SV67 @ SV76 ) )
= $true )
| ( ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(479,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
| ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(480,plain,
! [SV14: $i,SV68: $i,SV47: $i] :
( ( ( m1_subset_1 @ SV47 @ ( k1_zfmisc_1 @ SV68 ) )
= $false )
| ( ( r2_hidden @ SV14 @ SV47 )
= $false )
| ( ( m1_subset_1 @ SV14 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(481,plain,
! [SV17: $i,SV49: $i] :
( ( ( ~ ( v1_xboole_0 @ SV49 ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(482,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(483,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(484,plain,
! [SV22: $i] :
( ( ~ ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(485,plain,
! [SV56: $i,SV28: $i] :
( ( ( v1_xboole_0 @ SV28 )
= $false )
| ( ( ~ ( ( SV28 != SV56 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(486,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(487,plain,
! [SV30: $i] :
( ( ~ ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(488,plain,
! [SV31: $i] :
( ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( ~ ( v3_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(489,plain,
! [SV32: $i,SV58: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
| ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( v1_relat_1 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(490,plain,
! [SV33: $i] :
( ( ( ~ ( m1_subset_1 @ ( sK13_SY143 @ SV33 ) @ ( k1_zfmisc_1 @ SV33 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(491,plain,
! [SV33: $i] :
( ( ( ~ ~ ( v1_xboole_0 @ ( sK13_SY143 @ SV33 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(492,plain,
! [SV63: $i,SV77: $i,SV40: $i,SV6: $i,SV73: $i] :
( ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) ) )
= $true )
| ( ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(493,plain,
! [SV74: $i,SV64: $i,SV81: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ( ~ ( m1_relset_1 @ SV78 @ SV8 @ SV42 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV81 @ SV64 @ SV74 ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(494,plain,
! [SV65: $i,SV43: $i,SV9: $i] :
( ( ( r2_hidden @ SV9 @ SV43 )
= $false )
| ( ( ~ ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) ) )
= $true )
| ( ( ~ ( v1_xboole_0 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(495,plain,
! [SV66: $i,SV79: $i,SV44: $i,SV10: $i,SV75: $i] :
( ( ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
= $false )
| ( ( ~ ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) ) )
= $true )
| ( ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(496,plain,
! [SV76: $i,SV67: $i,SV82: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ( ~ ( m1_relset_1 @ SV80 @ SV12 @ SV45 ) )
= $true )
| ( ( ~ ( m1_relset_1 @ SV82 @ SV67 @ SV76 ) )
= $true )
| ( ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(497,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(498,plain,
! [SV13: $i,SV46: $i] :
( ( ~ ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(499,plain,
! [SV17: $i,SV49: $i] :
( ( ( v1_xboole_0 @ SV49 )
= $true )
| ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(500,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(501,plain,
! [SV52: $i,SV21: $i] :
( ( ( ~ ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(502,plain,
! [SV22: $i] :
( ( ~ ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(503,plain,
! [SV22: $i] :
( ( v3_relat_2 @ ( k6_relat_1 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(504,plain,
! [SV56: $i,SV28: $i] :
( ( ( SV28 != SV56 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(505,plain,
! [SV30: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(506,plain,
! [SV30: $i] :
( ( v8_relat_2 @ ( sK9_SY141 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(507,plain,
! [SV31: $i] :
( ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( ~ ( v8_relat_2 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(508,plain,
! [SV32: $i,SV58: $i] :
( ( ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( v1_relat_1 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(509,plain,
! [SV32: $i,SV58: $i] :
( ( ( ~ ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) ) )
= $false )
| ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( v1_relat_1 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(510,plain,
! [SV33: $i] :
( ( ( m1_subset_1 @ ( sK13_SY143 @ SV33 ) @ ( k1_zfmisc_1 @ SV33 ) )
= $true )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(511,plain,
! [SV33: $i] :
( ( ( ~ ( v1_xboole_0 @ ( sK13_SY143 @ SV33 ) ) )
= $true )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(512,plain,
! [SV6: $i,SV73: $i,SV63: $i,SV40: $i,SV77: $i] :
( ( ( m1_subset_1 @ SV77 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV40 @ SV63 ) ) )
= $false )
| ( ( m1_subset_1 @ SV73 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV6 @ SV40 ) ) )
= $false )
| ( ( m2_relset_1 @ ( k9_relset_2 @ SV6 @ SV40 @ SV63 @ SV73 @ SV77 ) @ SV6 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(513,plain,
! [SV74: $i,SV64: $i,SV81: $i,SV42: $i,SV8: $i,SV78: $i] :
( ( ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV81 @ SV64 @ SV74 ) )
= $true )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(514,plain,
! [SV9: $i,SV65: $i,SV43: $i] :
( ( ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) )
= $false )
| ( ( r2_hidden @ SV9 @ SV43 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(515,plain,
! [SV10: $i,SV75: $i,SV66: $i,SV44: $i,SV79: $i] :
( ( ( m1_subset_1 @ SV79 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV44 @ SV66 ) ) )
= $false )
| ( ( m1_subset_1 @ SV75 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ SV10 @ SV44 ) ) )
= $false )
| ( ( ( k9_relset_2 @ SV10 @ SV44 @ SV66 @ SV75 @ SV79 )
= ( k5_relat_1 @ SV75 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(516,plain,
! [SV76: $i,SV67: $i,SV82: $i,SV45: $i,SV12: $i,SV80: $i] :
( ( ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
= $false )
| ( ( ~ ( m1_relset_1 @ SV82 @ SV67 @ SV76 ) )
= $true )
| ( ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(517,plain,
! [SV13: $i,SV46: $i] :
( ( m1_relset_1 @ ( sK10_SY165 @ SV46 @ SV13 ) @ SV13 @ SV46 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(518,plain,
! [SV13: $i,SV46: $i] :
( ( v1_relat_1 @ ( sK10_SY165 @ SV46 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(519,plain,
! [SV49: $i,SV17: $i] :
( ( ( v1_xboole_0 @ ( k2_zfmisc_1 @ SV17 @ SV49 ) )
= $false )
| ( ( v1_xboole_0 @ SV17 )
= $true )
| ( ( v1_xboole_0 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(520,plain,
! [SV52: $i,SV21: $i] :
( ( ( v1_xboole_0 @ ( k5_relat_1 @ SV21 @ SV52 ) )
= $true )
| ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(521,plain,
! [SV52: $i,SV21: $i] :
( ( ( v1_relat_1 @ ( k5_relat_1 @ SV21 @ SV52 ) )
= $true )
| ( ( v1_xboole_0 @ SV21 )
= $false )
| ( ( v1_relat_1 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(522,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
| ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(523,plain,
! [SV56: $i,SV28: $i] :
( ( ( SV28 = SV56 )
= $true )
| ( ( v1_xboole_0 @ SV28 )
= $false )
| ( ( ~ ( v1_xboole_0 @ SV56 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(524,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(525,plain,
! [SV31: $i] :
( ( ( v8_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( ~ ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(526,plain,
! [SV32: $i,SV58: $i] :
( ( ( v1_xboole_0 @ ( k5_relat_1 @ SV58 @ SV32 ) )
= $true )
| ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( v1_relat_1 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(527,plain,
! [SV32: $i,SV58: $i] :
( ( ( v1_relat_1 @ ( k5_relat_1 @ SV58 @ SV32 ) )
= $true )
| ( ( v1_xboole_0 @ SV32 )
= $false )
| ( ( v1_relat_1 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(528,plain,
! [SV33: $i] :
( ( ( v1_xboole_0 @ ( sK13_SY143 @ SV33 ) )
= $false )
| ( ( v1_xboole_0 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(529,plain,
! [SV42: $i,SV8: $i,SV78: $i,SV74: $i,SV64: $i,SV81: $i] :
( ( ( m1_relset_1 @ SV81 @ SV64 @ SV74 )
= $false )
| ( ( m1_relset_1 @ SV78 @ SV8 @ SV42 )
= $false )
| ( ( m2_relset_1 @ ( k7_relset_1 @ SV8 @ SV42 @ SV64 @ SV74 @ SV78 @ SV81 ) @ SV8 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(530,plain,
! [SV43: $i,SV9: $i,SV65: $i] :
( ( ( v1_xboole_0 @ SV65 )
= $false )
| ( ( r2_hidden @ SV9 @ SV43 )
= $false )
| ( ( m1_subset_1 @ SV43 @ ( k1_zfmisc_1 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(531,plain,
! [SV45: $i,SV12: $i,SV80: $i,SV76: $i,SV67: $i,SV82: $i] :
( ( ( m1_relset_1 @ SV82 @ SV67 @ SV76 )
= $false )
| ( ( m1_relset_1 @ SV80 @ SV12 @ SV45 )
= $false )
| ( ( ( k7_relset_1 @ SV12 @ SV45 @ SV67 @ SV76 @ SV80 @ SV82 )
= ( k5_relat_1 @ SV80 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(532,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(533,plain,
! [SV22: $i] :
( ( ~ ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(534,plain,
! [SV28: $i,SV56: $i] :
( ( ( v1_xboole_0 @ SV56 )
= $false )
| ( ( v1_xboole_0 @ SV28 )
= $false )
| ( ( SV28 = SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(535,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(536,plain,
! [SV30: $i] :
( ( ~ ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(537,plain,
! [SV31: $i] :
( ( ( ~ ( v1_relat_1 @ SV31 )
| ~ ( v1_relat_2 @ SV31 ) )
= $false )
| ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( v8_relat_2 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(538,plain,
! [SV22: $i] :
( ( ~ ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(539,plain,
! [SV22: $i] :
( ( v1_relat_2 @ ( k6_relat_1 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(540,plain,
! [SV30: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(541,plain,
! [SV30: $i] :
( ( v4_relat_2 @ ( sK9_SY141 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(542,plain,
! [SV31: $i] :
( ( ( ~ ( v1_relat_1 @ SV31 ) )
= $false )
| ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( v8_relat_2 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(543,plain,
! [SV31: $i] :
( ( ( ~ ( v1_relat_2 @ SV31 ) )
= $false )
| ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( v8_relat_2 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[537]) ).
thf(544,plain,
! [SV22: $i] :
( ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
| ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(545,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(546,plain,
! [SV31: $i] :
( ( ( v1_relat_1 @ SV31 )
= $true )
| ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( v8_relat_2 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(547,plain,
! [SV31: $i] :
( ( ( v1_relat_2 @ SV31 )
= $true )
| ( ( v3_relat_2 @ SV31 )
= $false )
| ( ( v1_relat_1 @ SV31 )
= $false )
| ( ( v8_relat_2 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(548,plain,
! [SV22: $i] :
( ( ~ ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(549,plain,
! [SV22: $i] :
( ( ~ ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(550,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(551,plain,
! [SV30: $i] :
( ( ~ ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(552,plain,
! [SV22: $i] :
( ( v1_relat_1 @ ( k6_relat_1 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(553,plain,
! [SV22: $i] :
( ( v1_funct_1 @ ( k6_relat_1 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(554,plain,
! [SV30: $i] :
( ( ~ ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(555,plain,
! [SV30: $i] :
( ( v3_relat_2 @ ( sK9_SY141 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(556,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
| ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(557,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(558,plain,
! [SV30: $i] :
( ( ~ ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(559,plain,
! [SV30: $i] :
( ( ~ ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(560,plain,
! [SV30: $i] :
( ( v1_relat_2 @ ( sK9_SY141 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(561,plain,
! [SV30: $i] :
( ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
| ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(562,plain,
! [SV30: $i] :
( ( ~ ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(563,plain,
! [SV30: $i] :
( ( ~ ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(564,plain,
! [SV30: $i] :
( ( m1_relset_1 @ ( sK9_SY141 @ SV30 ) @ SV30 @ SV30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(565,plain,
! [SV30: $i] :
( ( v1_relat_1 @ ( sK9_SY141 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(566,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[108,565,564,560,555,553,552,547,546,541,539,534,531,530,529,528,527,526,521,520,519,518,517,515,512,510,506,503,480,473,472,467,466,462,459,452,451,445,440,436,434,433,425,412,411,407,406,404,396,395,389,386,377,376,366,363,341,339,336,323,322,303,302,301,293,281,235,234,233,195,193,190,151,117,116,110,109]) ).
thf(567,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 15:24:46 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.98/4.37
% 24.98/4.37 No.of.Axioms: 47
% 24.98/4.37
% 24.98/4.37 Length.of.Defs: 0
% 24.98/4.37
% 24.98/4.37 Contains.Choice.Funs: false
% 24.98/4.37 ................
% 24.98/4.37
% 24.98/4.37 ********************************
% 24.98/4.37 * All subproblems solved! *
% 24.98/4.37 ********************************
% 24.98/4.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:48,ps:3,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:566,loop_count:0,foatp_calls:1,translation:fof_full)
% 24.98/4.37
% 24.98/4.37 %**** Beginning of derivation protocol ****
% 24.98/4.37 % SZS output start CNFRefutation
% See solution above
% 24.98/4.37
% 24.98/4.37 %**** End of derivation protocol ****
% 24.98/4.37 %**** no. of clauses in derivation: 567 ****
% 24.98/4.37 %**** clause counter: 566 ****
% 24.98/4.37
% 24.98/4.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:48,ps:3,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:566,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------