TSTP Solution File: SEU359+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:11:04 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 32
% Syntax : Number of formulae : 330 ( 99 unt; 21 typ; 0 def)
% Number of atoms : 3761 (1083 equ; 0 cnn)
% Maximal formula atoms : 15 ( 12 avg)
% Number of connectives : 9213 (1755 ~;1580 |; 90 &;5718 @)
% ( 4 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 583 ( 0 ^ 575 !; 8 ?; 583 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_antisymmetric_relstr,type,
antisymmetric_relstr: $i > $o ).
thf(tp_element,type,
element: $i > $i > $o ).
thf(tp_ex_sup_of_relstr_set,type,
ex_sup_of_relstr_set: $i > $i > $o ).
thf(tp_join_on_relstr,type,
join_on_relstr: $i > $i > $i ).
thf(tp_one_sorted_str,type,
one_sorted_str: $i > $o ).
thf(tp_rel_str,type,
rel_str: $i > $o ).
thf(tp_related,type,
related: $i > $i > $i > $o ).
thf(tp_relstr_set_smaller,type,
relstr_set_smaller: $i > $i > $i > $o ).
thf(tp_sK10_A,type,
sK10_A: $i ).
thf(tp_sK11_A,type,
sK11_A: $i ).
thf(tp_sK12_D,type,
sK12_D: $i > $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
thf(tp_sK3_SY24,type,
sK3_SY24: $i ).
thf(tp_sK4_SY36,type,
sK4_SY36: $i ).
thf(tp_sK5_SY35,type,
sK5_SY35: $i ).
thf(tp_sK6_SY33,type,
sK6_SY33: $i ).
thf(tp_sK7_C,type,
sK7_C: $i > $i > $i ).
thf(tp_sK8_D,type,
sK8_D: $i > $i > $i > $i ).
thf(tp_sK9_B,type,
sK9_B: $i > $i ).
thf(tp_the_carrier,type,
the_carrier: $i > $i ).
thf(1,axiom,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_sup_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
thf(2,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(3,axiom,
? [A: $i] : ( one_sorted_str @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(4,axiom,
? [A: $i] : ( rel_str @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
thf(5,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(6,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(7,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(8,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( one_sorted_str @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( rel_str @ A )
=> ( element @ ( join_on_relstr @ A @ B ) @ ( the_carrier @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
thf(10,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i,C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ex_sup_of_relstr_set @ A @ B )
=> ( ( C
= ( join_on_relstr @ A @ B ) )
<=> ( ( relstr_set_smaller @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
thf(11,conjecture,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) )
=> ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) ) )
& ( ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) )
=> ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
thf(12,negated_conjecture,
( ( ! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) )
=> ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) ) )
& ( ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) )
=> ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( ! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) )
=> ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) ) )
& ( ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) )
=> ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_sup_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [A: $i] :
? [B: $i] : ( element @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ? [A: $i] : ( one_sorted_str @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ? [A: $i] : ( rel_str @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
$true = $true,
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
$true = $true,
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
$true = $true,
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [A: $i] :
( ( rel_str @ A )
=> ( one_sorted_str @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
( ( rel_str @ A )
=> ( element @ ( join_on_relstr @ A @ B ) @ ( the_carrier @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i,C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ex_sup_of_relstr_set @ A @ B )
=> ( ( C
= ( join_on_relstr @ A @ B ) )
<=> ( ( relstr_set_smaller @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ( ( antisymmetric_relstr @ sK1_A )
& ( rel_str @ sK1_A ) )
=> ! [SY20: $i] :
( ( element @ SY20 @ ( the_carrier @ sK1_A ) )
=> ! [SY21: $i] :
( ( ( ( SY20
= ( join_on_relstr @ sK1_A @ SY21 ) )
& ( ex_sup_of_relstr_set @ sK1_A @ SY21 ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY20 )
& ! [SY22: $i] :
( ( element @ SY22 @ ( the_carrier @ sK1_A ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY22 )
=> ( related @ sK1_A @ SY20 @ SY22 ) ) ) ) )
& ( ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY20 )
& ! [SY23: $i] :
( ( element @ SY23 @ ( the_carrier @ sK1_A ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY23 )
=> ( related @ sK1_A @ SY20 @ SY23 ) ) ) )
=> ( ( SY20
= ( join_on_relstr @ sK1_A @ SY21 ) )
& ( ex_sup_of_relstr_set @ sK1_A @ SY21 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(25,plain,
( ( antisymmetric_relstr @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[24]) ).
thf(26,plain,
( ( rel_str @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [SY20: $i] :
( ( element @ SY20 @ ( the_carrier @ sK1_A ) )
=> ! [SY21: $i] :
( ( ( ( SY20
= ( join_on_relstr @ sK1_A @ SY21 ) )
& ( ex_sup_of_relstr_set @ sK1_A @ SY21 ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY20 )
& ! [SY22: $i] :
( ( element @ SY22 @ ( the_carrier @ sK1_A ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY22 )
=> ( related @ sK1_A @ SY20 @ SY22 ) ) ) ) )
& ( ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY20 )
& ! [SY23: $i] :
( ( element @ SY23 @ ( the_carrier @ sK1_A ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY23 )
=> ( related @ sK1_A @ SY20 @ SY23 ) ) ) )
=> ( ( SY20
= ( join_on_relstr @ sK1_A @ SY21 ) )
& ( ex_sup_of_relstr_set @ sK1_A @ SY21 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ! [SY20: $i] :
( ( element @ SY20 @ ( the_carrier @ sK1_A ) )
=> ! [SY21: $i] :
( ( ( ( SY20
= ( join_on_relstr @ sK1_A @ SY21 ) )
& ( ex_sup_of_relstr_set @ sK1_A @ SY21 ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY20 )
& ! [SY22: $i] :
( ( element @ SY22 @ ( the_carrier @ sK1_A ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY22 )
=> ( related @ sK1_A @ SY20 @ SY22 ) ) ) ) )
& ( ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY20 )
& ! [SY23: $i] :
( ( element @ SY23 @ ( the_carrier @ sK1_A ) )
=> ( ( relstr_set_smaller @ sK1_A @ SY21 @ SY23 )
=> ( related @ sK1_A @ SY20 @ SY23 ) ) ) )
=> ( ( SY20
= ( join_on_relstr @ sK1_A @ SY21 ) )
& ( ex_sup_of_relstr_set @ sK1_A @ SY21 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(29,plain,
( ( ( element @ sK2_SY20 @ ( the_carrier @ sK1_A ) )
& ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SY31: $i] :
( ~ ( element @ SY31 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SY31 )
| ( related @ sK1_A @ sK2_SY20 @ SY31 ) ) )
& ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
& ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
& ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SY32: $i] :
( ~ ( element @ SY32 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SY32 )
| ( related @ sK1_A @ sK2_SY20 @ SY32 ) ) )
& ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
& ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
& ( ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
& ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
& ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SY34: $i] :
( ~ ( element @ SY34 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SY34 )
| ( related @ sK1_A @ sK2_SY20 @ SY34 ) ) )
& ( ( ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
& ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
& ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
& ( ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
& ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
& ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(30,plain,
( ( ! [A: $i] :
( ~ ( antisymmetric_relstr @ A )
| ~ ( rel_str @ A )
| ( ! [B: $i] :
( ! [C: $i] :
( ( ( element @ ( sK8_D @ C @ B @ A ) @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ ( sK8_D @ C @ B @ A ) )
& ~ ( related @ A @ C @ ( sK8_D @ C @ B @ A ) ) )
| ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( relstr_set_smaller @ A @ B @ C ) )
| ( ex_sup_of_relstr_set @ A @ B ) )
& ! [B: $i] :
( ~ ( ex_sup_of_relstr_set @ A @ B )
| ( ! [SY37: $i] :
( ~ ( element @ SY37 @ ( the_carrier @ A ) )
| ~ ( relstr_set_smaller @ A @ B @ SY37 )
| ( related @ A @ ( sK7_C @ B @ A ) @ SY37 ) )
& ( element @ ( sK7_C @ B @ A ) @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ ( sK7_C @ B @ A ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(31,plain,
( ( ! [A: $i] : ( element @ ( sK9_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(32,plain,
( ( one_sorted_str @ sK10_A )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(33,plain,
( ( rel_str @ sK11_A )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(34,plain,
( ( ! [A: $i] :
( ~ ( rel_str @ A )
| ( one_sorted_str @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(35,plain,
( ( ! [A: $i] :
( ~ ( rel_str @ A )
| ! [B: $i] : ( element @ ( join_on_relstr @ A @ B ) @ ( the_carrier @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(36,plain,
( ( ! [A: $i] :
( ~ ( rel_str @ A )
| ( ! [B: $i,C: $i] :
( ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( ex_sup_of_relstr_set @ A @ B )
| ( ( element @ ( sK12_D @ C @ B @ A ) @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ ( sK12_D @ C @ B @ A ) )
& ~ ( related @ A @ C @ ( sK12_D @ C @ B @ A ) ) )
| ~ ( relstr_set_smaller @ A @ B @ C )
| ( C
= ( join_on_relstr @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( ex_sup_of_relstr_set @ A @ B )
| ( C
!= ( join_on_relstr @ A @ B ) )
| ! [D: $i] :
( ~ ( element @ D @ ( the_carrier @ A ) )
| ~ ( relstr_set_smaller @ A @ B @ D )
| ( related @ A @ C @ D ) ) )
& ! [B: $i,C: $i] :
( ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( ex_sup_of_relstr_set @ A @ B )
| ( C
!= ( join_on_relstr @ A @ B ) )
| ( relstr_set_smaller @ A @ B @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(37,plain,
( ( ! [A: $i] :
( ~ ( rel_str @ A )
| ( ! [B: $i,C: $i] :
( ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( ex_sup_of_relstr_set @ A @ B )
| ( ( element @ ( sK12_D @ C @ B @ A ) @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ ( sK12_D @ C @ B @ A ) )
& ~ ( related @ A @ C @ ( sK12_D @ C @ B @ A ) ) )
| ~ ( relstr_set_smaller @ A @ B @ C )
| ( C
= ( join_on_relstr @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( ex_sup_of_relstr_set @ A @ B )
| ( C
!= ( join_on_relstr @ A @ B ) )
| ! [D: $i] :
( ~ ( element @ D @ ( the_carrier @ A ) )
| ~ ( relstr_set_smaller @ A @ B @ D )
| ( related @ A @ C @ D ) ) )
& ! [B: $i,C: $i] :
( ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( ex_sup_of_relstr_set @ A @ B )
| ( C
!= ( join_on_relstr @ A @ B ) )
| ( relstr_set_smaller @ A @ B @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(38,plain,
( ( ! [A: $i] :
( ~ ( rel_str @ A )
| ! [B: $i] : ( element @ ( join_on_relstr @ A @ B ) @ ( the_carrier @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(39,plain,
( ( ! [A: $i] :
( ~ ( rel_str @ A )
| ( one_sorted_str @ A ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(40,plain,
$true = $true,
inference(copy,[status(thm)],[20]) ).
thf(41,plain,
$true = $true,
inference(copy,[status(thm)],[19]) ).
thf(42,plain,
$true = $true,
inference(copy,[status(thm)],[18]) ).
thf(43,plain,
( ( rel_str @ sK11_A )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(44,plain,
( ( one_sorted_str @ sK10_A )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(45,plain,
( ( ! [A: $i] : ( element @ ( sK9_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [A: $i] :
( ~ ( antisymmetric_relstr @ A )
| ~ ( rel_str @ A )
| ( ! [B: $i] :
( ! [C: $i] :
( ( ( element @ ( sK8_D @ C @ B @ A ) @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ ( sK8_D @ C @ B @ A ) )
& ~ ( related @ A @ C @ ( sK8_D @ C @ B @ A ) ) )
| ~ ( element @ C @ ( the_carrier @ A ) )
| ~ ( relstr_set_smaller @ A @ B @ C ) )
| ( ex_sup_of_relstr_set @ A @ B ) )
& ! [B: $i] :
( ~ ( ex_sup_of_relstr_set @ A @ B )
| ( ! [SY37: $i] :
( ~ ( element @ SY37 @ ( the_carrier @ A ) )
| ~ ( relstr_set_smaller @ A @ B @ SY37 )
| ( related @ A @ ( sK7_C @ B @ A ) @ SY37 ) )
& ( element @ ( sK7_C @ B @ A ) @ ( the_carrier @ A ) )
& ( relstr_set_smaller @ A @ B @ ( sK7_C @ B @ A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(47,plain,
( ( rel_str @ sK1_A )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(48,plain,
( ( antisymmetric_relstr @ sK1_A )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(49,plain,
( ( ( element @ sK2_SY20 @ ( the_carrier @ sK1_A ) )
& ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SY31: $i] :
( ~ ( element @ SY31 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SY31 )
| ( related @ sK1_A @ sK2_SY20 @ SY31 ) ) )
& ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
& ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
& ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SY32: $i] :
( ~ ( element @ SY32 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SY32 )
| ( related @ sK1_A @ sK2_SY20 @ SY32 ) ) )
& ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
& ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
& ( ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
& ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
& ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SY34: $i] :
( ~ ( element @ SY34 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SY34 )
| ( related @ sK1_A @ sK2_SY20 @ SY34 ) ) )
& ( ( ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
& ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
& ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
& ( ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
& ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
& ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(50,plain,
( ( ! [SX0: $i] :
( ~ ( antisymmetric_relstr @ SX0 )
| ~ ( rel_str @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SX2 @ SX1 @ SX0 ) @ ( the_carrier @ SX0 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SX0 @ SX1 @ ( sK8_D @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( related @ SX0 @ SX2 @ ( sK8_D @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( element @ SX2 @ ( the_carrier @ SX0 ) )
| ~ ( relstr_set_smaller @ SX0 @ SX1 @ SX2 ) )
| ( ex_sup_of_relstr_set @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ex_sup_of_relstr_set @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( element @ SX2 @ ( the_carrier @ SX0 ) )
| ~ ( relstr_set_smaller @ SX0 @ SX1 @ SX2 )
| ( related @ SX0 @ ( sK7_C @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SX1 @ SX0 ) @ ( the_carrier @ SX0 ) )
| ~ ( relstr_set_smaller @ SX0 @ SX1 @ ( sK7_C @ SX1 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(51,plain,
( ( ! [SX0: $i] :
( ~ ( rel_str @ SX0 )
| ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( element @ SX2 @ ( the_carrier @ SX0 ) )
| ~ ( ex_sup_of_relstr_set @ SX0 @ SX1 )
| ~ ( ~ ( element @ ( sK12_D @ SX2 @ SX1 @ SX0 ) @ ( the_carrier @ SX0 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SX0 @ SX1 @ ( sK12_D @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( related @ SX0 @ SX2 @ ( sK12_D @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( relstr_set_smaller @ SX0 @ SX1 @ SX2 )
| ( SX2
= ( join_on_relstr @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( element @ SX2 @ ( the_carrier @ SX0 ) )
| ~ ( ex_sup_of_relstr_set @ SX0 @ SX1 )
| ( SX2
!= ( join_on_relstr @ SX0 @ SX1 ) )
| ! [SX3: $i] :
( ~ ( element @ SX3 @ ( the_carrier @ SX0 ) )
| ~ ( relstr_set_smaller @ SX0 @ SX1 @ SX3 )
| ( related @ SX0 @ SX2 @ SX3 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( element @ SX2 @ ( the_carrier @ SX0 ) )
| ~ ( ex_sup_of_relstr_set @ SX0 @ SX1 )
| ( SX2
!= ( join_on_relstr @ SX0 @ SX1 ) )
| ( relstr_set_smaller @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(52,plain,
( ( ~ ( ~ ( element @ sK2_SY20 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(53,plain,
! [SV1: $i] :
( ( ~ ( rel_str @ SV1 )
| ! [SY38: $i] : ( element @ ( join_on_relstr @ SV1 @ SY38 ) @ ( the_carrier @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(54,plain,
! [SV2: $i] :
( ( ~ ( rel_str @ SV2 )
| ( one_sorted_str @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(55,plain,
! [SV3: $i] :
( ( element @ ( sK9_B @ SV3 ) @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV4: $i] :
( ( ~ ( antisymmetric_relstr @ SV4 )
| ~ ( rel_str @ SV4 )
| ~ ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) )
| ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV5: $i] :
( ( ~ ( rel_str @ SV5 )
| ~ ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( element @ SY44 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY43 )
| ~ ( ~ ( element @ ( sK12_D @ SY44 @ SY43 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SY43 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY44 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SY43 @ SY44 )
| ( SY44
= ( join_on_relstr @ SV5 @ SY43 ) ) )
| ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
( ( ~ ( element @ sK2_SY20 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i] :
( ( ( ~ ( rel_str @ SV1 ) )
= $true )
| ( ( ! [SY38: $i] : ( element @ ( join_on_relstr @ SV1 @ SY38 ) @ ( the_carrier @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV2: $i] :
( ( ( ~ ( rel_str @ SV2 ) )
= $true )
| ( ( one_sorted_str @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV4: $i] :
( ( ( ~ ( antisymmetric_relstr @ SV4 )
| ~ ( rel_str @ SV4 ) )
= $true )
| ( ( ~ ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) )
| ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV5: $i] :
( ( ( ~ ( rel_str @ SV5 ) )
= $true )
| ( ( ~ ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( element @ SY44 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY43 )
| ~ ( ~ ( element @ ( sK12_D @ SY44 @ SY43 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SY43 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY44 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SY43 @ SY44 )
| ( SY44
= ( join_on_relstr @ SV5 @ SY43 ) ) )
| ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(63,plain,
( ( ~ ( element @ sK2_SY20 @ ( the_carrier @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV1: $i] :
( ( ( rel_str @ SV1 )
= $false )
| ( ( ! [SY38: $i] : ( element @ ( join_on_relstr @ SV1 @ SY38 ) @ ( the_carrier @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV2: $i] :
( ( ( rel_str @ SV2 )
= $false )
| ( ( one_sorted_str @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV4: $i] :
( ( ( ~ ( antisymmetric_relstr @ SV4 ) )
= $true )
| ( ( ~ ( rel_str @ SV4 ) )
= $true )
| ( ( ~ ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) )
| ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( rel_str @ SV5 )
= $false )
| ( ( ~ ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( element @ SY44 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY43 )
| ~ ( ~ ( element @ ( sK12_D @ SY44 @ SY43 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SY43 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY44 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SY43 @ SY44 )
| ( SY44
= ( join_on_relstr @ SV5 @ SY43 ) ) )
| ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(69,plain,
( ( element @ sK2_SY20 @ ( the_carrier @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(70,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(71,plain,
! [SV6: $i,SV1: $i] :
( ( ( element @ ( join_on_relstr @ SV1 @ SV6 ) @ ( the_carrier @ SV1 ) )
= $true )
| ( ( rel_str @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV4: $i] :
( ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( ~ ( rel_str @ SV4 ) )
= $true )
| ( ( ~ ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) )
| ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( element @ SY44 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY43 )
| ~ ( ~ ( element @ ( sK12_D @ SY44 @ SY43 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SY43 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY44 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SY43 @ SY44 )
| ( SY44
= ( join_on_relstr @ SV5 @ SY43 ) ) )
| ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV4: $i] :
( ( ( rel_str @ SV4 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( ~ ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) )
| ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV5: $i] :
( ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ( element @ SY44 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY43 )
| ~ ( ~ ( element @ ( sK12_D @ SY44 @ SY43 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SY43 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY44 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SY43 @ SY44 )
| ( SY44
= ( join_on_relstr @ SV5 @ SY43 ) ) ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(77,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(78,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(79,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(80,plain,
! [SV4: $i] :
( ( ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) )
| ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV5: $i] :
( ( ( ! [SY43: $i,SY44: $i] :
( ~ ( element @ SY44 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY43 )
| ~ ( ~ ( element @ ( sK12_D @ SY44 @ SY43 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SY43 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY44 @ ( sK12_D @ SY44 @ SY43 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SY43 @ SY44 )
| ( SY44
= ( join_on_relstr @ SV5 @ SY43 ) ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(82,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(83,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(84,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(85,plain,
! [SV4: $i] :
( ( ( ~ ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) ) )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(86,plain,
! [SV4: $i] :
( ( ( ~ ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(87,plain,
! [SV7: $i,SV5: $i] :
( ( ( ! [SY50: $i] :
( ~ ( element @ SY50 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SV7 )
| ~ ( ~ ( element @ ( sK12_D @ SY50 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SY50 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SY50 @ ( sK12_D @ SY50 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SY50 )
| ( SY50
= ( join_on_relstr @ SV5 @ SV7 ) ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV5: $i] :
( ( ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
( ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV4: $i] :
( ( ( ! [SY39: $i] :
( ! [SY40: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY40 @ SY39 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SY39 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY40 @ ( sK8_D @ SY40 @ SY39 @ SV4 ) ) ) )
| ~ ( element @ SY40 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY39 @ SY40 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SY39 ) ) )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(92,plain,
! [SV4: $i] :
( ( ( ! [SY41: $i] :
( ~ ( ex_sup_of_relstr_set @ SV4 @ SY41 )
| ~ ( ~ ! [SY42: $i] :
( ~ ( element @ SY42 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ SY42 )
| ( related @ SV4 @ ( sK7_C @ SY41 @ SV4 ) @ SY42 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SY41 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SY41 @ ( sK7_C @ SY41 @ SV4 ) ) ) ) ) )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV7: $i,SV5: $i,SV8: $i] :
( ( ( ~ ( element @ SV8 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SV7 )
| ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
| ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV5: $i] :
( ( ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV5: $i] :
( ( ( ~ ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(96,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(97,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(98,plain,
( ( ~ ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(99,plain,
( ( ~ ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV4: $i,SV9: $i] :
( ( ( ! [SY51: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY51 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SY51 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY51 @ ( sK8_D @ SY51 @ SV9 @ SV4 ) ) ) )
| ~ ( element @ SY51 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SY51 ) )
| ( ex_sup_of_relstr_set @ SV4 @ SV9 ) )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( ex_sup_of_relstr_set @ SV4 @ SV10 )
| ~ ( ~ ! [SY52: $i] :
( ~ ( element @ SY52 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SY52 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SY52 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) ) ) )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV7: $i,SV5: $i,SV8: $i] :
( ( ( ~ ( element @ SV8 @ ( the_carrier @ SV5 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV7 )
| ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
| ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( ! [SY45: $i,SY46: $i] :
( ~ ( element @ SY46 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY45 )
| ( SY46
!= ( join_on_relstr @ SV5 @ SY45 ) )
| ! [SY47: $i] :
( ~ ( element @ SY47 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SY45 @ SY47 )
| ( related @ SV5 @ SY46 @ SY47 ) ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV5: $i] :
( ( ( ! [SY48: $i,SY49: $i] :
( ~ ( element @ SY49 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SY48 )
| ( SY49
!= ( join_on_relstr @ SV5 @ SY48 ) )
| ( relstr_set_smaller @ SV5 @ SY48 @ SY49 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(105,plain,
( ( ~ ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(106,plain,
( ( ~ ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(107,plain,
( ( ~ ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(108,plain,
( ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(109,plain,
! [SV4: $i,SV9: $i] :
( ( ( ! [SY51: $i] :
( ~ ( ~ ( element @ ( sK8_D @ SY51 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SY51 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SY51 @ ( sK8_D @ SY51 @ SV9 @ SV4 ) ) ) )
| ~ ( element @ SY51 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SY51 ) ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(110,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( ex_sup_of_relstr_set @ SV4 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ! [SY52: $i] :
( ~ ( element @ SY52 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SY52 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SY52 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) ) ) )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV7: $i,SV5: $i,SV8: $i] :
( ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV7 )
| ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
| ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(112,plain,
! [SV11: $i,SV5: $i] :
( ( ( ! [SY53: $i] :
( ~ ( element @ SY53 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SV11 )
| ( SY53
!= ( join_on_relstr @ SV5 @ SV11 ) )
| ! [SY54: $i] :
( ~ ( element @ SY54 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY54 )
| ( related @ SV5 @ SY53 @ SY54 ) ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(113,plain,
! [SV12: $i,SV5: $i] :
( ( ( ! [SY55: $i] :
( ~ ( element @ SY55 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SV12 )
| ( SY55
!= ( join_on_relstr @ SV5 @ SV12 ) )
| ( relstr_set_smaller @ SV5 @ SV12 @ SY55 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(114,plain,
( ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(115,plain,
( ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
( ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
( ( ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV4: $i,SV9: $i,SV13: $i] :
( ( ( ~ ( ~ ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) ) )
| ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV10: $i,SV4: $i] :
( ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( ~ ( ~ ! [SY52: $i] :
( ~ ( element @ SY52 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SY52 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SY52 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) ) ) )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
| ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) ) )
= $true )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(121,plain,
! [SV11: $i,SV5: $i,SV14: $i] :
( ( ( ~ ( element @ SV14 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SV11 )
| ( SV14
!= ( join_on_relstr @ SV5 @ SV11 ) )
| ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(122,plain,
! [SV12: $i,SV5: $i,SV15: $i] :
( ( ( ~ ( element @ SV15 @ ( the_carrier @ SV5 ) )
| ~ ( ex_sup_of_relstr_set @ SV5 @ SV12 )
| ( SV15
!= ( join_on_relstr @ SV5 @ SV12 ) )
| ( relstr_set_smaller @ SV5 @ SV12 @ SV15 ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(123,plain,
( ( ~ ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(124,plain,
( ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(125,plain,
( ( ~ ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(126,plain,
( ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(127,plain,
( ( ~ ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(128,plain,
( ( ~ ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(129,plain,
( ( ( ~ ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(130,plain,
! [SV4: $i,SV9: $i,SV13: $i] :
( ( ( ~ ( ~ ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(131,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ! [SY52: $i] :
( ~ ( element @ SY52 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SY52 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SY52 ) )
| ~ ~ ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
| ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) ) )
= $true )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV11: $i,SV5: $i,SV14: $i] :
( ( ( ~ ( element @ SV14 @ ( the_carrier @ SV5 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV11 )
| ( SV14
!= ( join_on_relstr @ SV5 @ SV11 ) )
| ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(134,plain,
! [SV12: $i,SV5: $i,SV15: $i] :
( ( ( ~ ( element @ SV15 @ ( the_carrier @ SV5 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV12 )
| ( SV15
!= ( join_on_relstr @ SV5 @ SV12 ) )
| ( relstr_set_smaller @ SV5 @ SV12 @ SV15 ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(135,plain,
( ( ~ ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(136,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(137,plain,
( ( ~ ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(138,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(139,plain,
( ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(140,plain,
( ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(141,plain,
( ( ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(142,plain,
! [SV4: $i,SV9: $i,SV13: $i] :
( ( ( ~ ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(143,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ! [SY52: $i] :
( ~ ( element @ SY52 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SY52 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SY52 ) ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(144,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(145,plain,
! [SV5: $i,SV7: $i,SV8: $i] :
( ( ( ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
| ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(146,plain,
! [SV11: $i,SV5: $i,SV14: $i] :
( ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV11 )
| ( SV14
!= ( join_on_relstr @ SV5 @ SV11 ) )
| ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(147,plain,
! [SV12: $i,SV5: $i,SV15: $i] :
( ( ( element @ SV15 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV12 )
| ( SV15
!= ( join_on_relstr @ SV5 @ SV12 ) )
| ( relstr_set_smaller @ SV5 @ SV12 @ SV15 ) )
= $true )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(148,plain,
( ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(149,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(150,plain,
( ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
| ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(151,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(152,plain,
( ( ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(153,plain,
( ( ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(154,plain,
( ( ( ~ ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(155,plain,
( ( ( ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(156,plain,
! [SV4: $i,SV9: $i,SV13: $i] :
( ( ( ~ ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(157,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(158,plain,
! [SV10: $i,SV4: $i] :
( ( ( ! [SY52: $i] :
( ~ ( element @ SY52 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SY52 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SY52 ) ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(159,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(160,plain,
! [SV5: $i,SV7: $i,SV8: $i] :
( ( ( ~ ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(161,plain,
! [SV14: $i,SV11: $i,SV5: $i] :
( ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV11 ) )
= $true )
| ( ( ( SV14
!= ( join_on_relstr @ SV5 @ SV11 ) )
| ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV15: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( ex_sup_of_relstr_set @ SV5 @ SV12 ) )
= $true )
| ( ( ( SV15
!= ( join_on_relstr @ SV5 @ SV12 ) )
| ( relstr_set_smaller @ SV5 @ SV12 @ SV15 ) )
= $true )
| ( ( element @ SV15 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(163,plain,
( ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(164,plain,
( ( ~ ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(165,plain,
( ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(166,plain,
( ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(167,plain,
( ( ~ ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(168,plain,
( ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(169,plain,
( ( ( ~ ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(170,plain,
( ( ( ~ ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(171,plain,
( ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(172,plain,
( ( ( ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(173,plain,
! [SV4: $i,SV9: $i,SV13: $i] :
( ( ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
= $true )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(174,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(175,plain,
! [SV10: $i,SV4: $i,SV16: $i] :
( ( ( ~ ( element @ SV16 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ SV16 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SV16 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(176,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(177,plain,
! [SV5: $i,SV7: $i,SV8: $i] :
( ( ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
| ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(178,plain,
! [SV14: $i,SV11: $i,SV5: $i] :
( ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( ( SV14
!= ( join_on_relstr @ SV5 @ SV11 ) )
| ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(179,plain,
! [SV15: $i,SV12: $i,SV5: $i] :
( ( ( ex_sup_of_relstr_set @ SV5 @ SV12 )
= $false )
| ( ( ( SV15
!= ( join_on_relstr @ SV5 @ SV12 ) )
| ( relstr_set_smaller @ SV5 @ SV12 @ SV15 ) )
= $true )
| ( ( element @ SV15 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(180,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(181,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(182,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(183,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(184,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
| ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(185,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(186,plain,
( ( ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(187,plain,
( ( ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
| ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(188,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(189,plain,
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(190,plain,
! [SV9: $i,SV4: $i,SV13: $i] :
( ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(191,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
| ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(192,plain,
! [SV10: $i,SV4: $i,SV16: $i] :
( ( ( ~ ( element @ SV16 @ ( the_carrier @ SV4 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV10 @ SV16 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SV16 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(193,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(194,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(195,plain,
! [SV5: $i,SV7: $i,SV8: $i] :
( ( ( ~ ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(196,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(197,plain,
! [SV11: $i,SV5: $i,SV14: $i] :
( ( ( ( SV14
!= ( join_on_relstr @ SV5 @ SV11 ) ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(198,plain,
! [SV12: $i,SV5: $i,SV15: $i] :
( ( ( ( SV15
!= ( join_on_relstr @ SV5 @ SV12 ) ) )
= $true )
| ( ( relstr_set_smaller @ SV5 @ SV12 @ SV15 )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV12 )
= $false )
| ( ( element @ SV15 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(199,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(200,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(201,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(202,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(203,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(204,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(205,plain,
( ( ( ~ ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(206,plain,
( ( ( ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(207,plain,
( ( ( ~ ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(208,plain,
( ( ( ~ ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(209,plain,
( ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(210,plain,
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(211,plain,
( ( ( ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(212,plain,
! [SV9: $i,SV4: $i,SV13: $i] :
( ( ( element @ SV13 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(213,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(214,plain,
! [SV9: $i,SV13: $i,SV4: $i] :
( ( ( ~ ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(215,plain,
! [SV10: $i,SV4: $i,SV16: $i] :
( ( ( element @ SV16 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV10 @ SV16 )
| ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SV16 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(216,plain,
! [SV4: $i,SV10: $i] :
( ( ( element @ ( sK7_C @ SV10 @ SV4 ) @ ( the_carrier @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(217,plain,
! [SV10: $i,SV4: $i] :
( ( ( relstr_set_smaller @ SV4 @ SV10 @ ( sK7_C @ SV10 @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(218,plain,
! [SV5: $i,SV7: $i,SV8: $i] :
( ( ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(219,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(220,plain,
! [SV11: $i,SV5: $i,SV14: $i] :
( ( ( SV14
= ( join_on_relstr @ SV5 @ SV11 ) )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( element @ SY56 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SY56 )
| ( related @ SV5 @ SV14 @ SY56 ) ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(221,plain,
! [SV12: $i,SV5: $i,SV15: $i] :
( ( ( SV15
= ( join_on_relstr @ SV5 @ SV12 ) )
= $false )
| ( ( relstr_set_smaller @ SV5 @ SV12 @ SV15 )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV12 )
= $false )
| ( ( element @ SV15 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(222,plain,
! [SV17: $i] :
( ( ( ~ ( element @ SV17 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV17 )
| ( related @ sK1_A @ sK2_SY20 @ SV17 ) )
= $true )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(223,plain,
! [SV18: $i] :
( ( ( ~ ( element @ SV18 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV18 )
| ( related @ sK1_A @ sK2_SY20 @ SV18 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(224,plain,
( ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(225,plain,
( ( ( ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(226,plain,
( ( ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(227,plain,
( ( ( ~ ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(228,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(229,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(230,plain,
( ( ( ~ ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(231,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( relstr_set_smaller @ SV4 @ SV9 @ SV13 )
= $false )
| ( ( element @ SV13 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( element @ ( sK8_D @ SV13 @ SV9 @ SV4 ) @ ( the_carrier @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(232,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $true )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(233,plain,
! [SV9: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) ) )
= $true )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(234,plain,
! [SV16: $i,SV10: $i,SV4: $i] :
( ( ( ~ ( relstr_set_smaller @ SV4 @ SV10 @ SV16 ) )
= $true )
| ( ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SV16 )
= $true )
| ( ( element @ SV16 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
= $false )
| ( ( element @ ( sK12_D @ SV8 @ SV7 @ SV5 ) @ ( the_carrier @ SV5 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(236,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
| ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(237,plain,
! [SV14: $i,SV11: $i,SV5: $i,SV19: $i] :
( ( ( ~ ( element @ SV19 @ ( the_carrier @ SV5 ) )
| ~ ( relstr_set_smaller @ SV5 @ SV11 @ SV19 )
| ( related @ SV5 @ SV14 @ SV19 ) )
= $true )
| ( ( SV14
= ( join_on_relstr @ SV5 @ SV11 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(238,plain,
! [SV17: $i] :
( ( ( ~ ( element @ SV17 @ ( the_carrier @ sK1_A ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV17 )
| ( related @ sK1_A @ sK2_SY20 @ SV17 ) )
= $true )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(239,plain,
! [SV18: $i] :
( ( ( ~ ( element @ SV18 @ ( the_carrier @ sK1_A ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV18 )
| ( related @ sK1_A @ sK2_SY20 @ SV18 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(240,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(241,plain,
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(242,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( element @ sK5_SY35 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(243,plain,
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
| ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(244,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( element @ sK4_SY36 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(245,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(246,plain,
( ( ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(247,plain,
! [SV9: $i,SV4: $i,SV13: $i] :
( ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(248,plain,
! [SV9: $i,SV13: $i,SV4: $i] :
( ( ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $false )
| ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) )
| ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(249,plain,
! [SV16: $i,SV10: $i,SV4: $i] :
( ( ( relstr_set_smaller @ SV4 @ SV10 @ SV16 )
= $false )
| ( ( related @ SV4 @ ( sK7_C @ SV10 @ SV4 ) @ SV16 )
= $true )
| ( ( element @ SV16 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV10 )
= $false )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(250,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(251,plain,
! [SV7: $i,SV8: $i,SV5: $i] :
( ( ( ~ ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(252,plain,
! [SV14: $i,SV11: $i,SV5: $i,SV19: $i] :
( ( ( ~ ( element @ SV19 @ ( the_carrier @ SV5 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV11 @ SV19 )
| ( related @ SV5 @ SV14 @ SV19 ) )
= $true )
| ( ( SV14
= ( join_on_relstr @ SV5 @ SV11 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(253,plain,
! [SV17: $i] :
( ( ( element @ SV17 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV17 )
| ( related @ sK1_A @ sK2_SY20 @ SV17 ) )
= $true )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(254,plain,
! [SV18: $i] :
( ( ( element @ SV18 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV18 )
| ( related @ sK1_A @ sK2_SY20 @ SV18 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(255,plain,
! [SV20: $i] :
( ( ( ~ ( element @ SV20 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV20 )
| ( related @ sK1_A @ sK2_SY20 @ SV20 ) )
= $true )
| ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(256,plain,
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(257,plain,
( ( ( ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(258,plain,
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(259,plain,
( ( ( ~ ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(260,plain,
( ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(261,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 )
= $false )
| ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
| ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(262,plain,
! [SV9: $i,SV4: $i,SV13: $i] :
( ( ( element @ SV13 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV9: $i,SV4: $i,SV13: $i] :
( ( ( ~ ( element @ SV13 @ ( the_carrier @ SV4 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(264,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(265,plain,
! [SV7: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(266,plain,
! [SV14: $i,SV11: $i,SV5: $i,SV19: $i] :
( ( ( element @ SV19 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV11 @ SV19 )
| ( related @ SV5 @ SV14 @ SV19 ) )
= $true )
| ( ( SV14
= ( join_on_relstr @ SV5 @ SV11 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV17: $i] :
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV17 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ SV17 )
= $true )
| ( ( element @ SV17 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(268,plain,
! [SV18: $i] :
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV18 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ SV18 )
= $true )
| ( ( element @ SV18 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(269,plain,
! [SV20: $i] :
( ( ( ~ ( element @ SV20 @ ( the_carrier @ sK1_A ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV20 )
| ( related @ sK1_A @ sK2_SY20 @ SV20 ) )
= $true )
| ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(270,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(271,plain,
( ( ( ~ ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(272,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(273,plain,
( ( ( ~ ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(274,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(275,plain,
( ( ( ( sK2_SY20
!= ( join_on_relstr @ sK1_A @ sK3_SY24 ) ) )
= $true )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(276,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( relstr_set_smaller @ SV4 @ SV9 @ SV13 )
= $false )
| ( ( element @ SV13 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( relstr_set_smaller @ SV4 @ SV9 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(277,plain,
! [SV9: $i,SV4: $i,SV13: $i] :
( ( ( element @ SV13 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV4 @ SV9 @ SV13 ) )
= $true )
| ( ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(278,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
= $false )
| ( ( relstr_set_smaller @ SV5 @ SV7 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(279,plain,
! [SV7: $i,SV8: $i,SV5: $i] :
( ( ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ SV5 @ SV7 @ SV8 ) )
= $true )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(280,plain,
! [SV14: $i,SV19: $i,SV11: $i,SV5: $i] :
( ( ( ~ ( relstr_set_smaller @ SV5 @ SV11 @ SV19 ) )
= $true )
| ( ( related @ SV5 @ SV14 @ SV19 )
= $true )
| ( ( element @ SV19 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( SV14
= ( join_on_relstr @ SV5 @ SV11 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(281,plain,
! [SV17: $i] :
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV17 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ SV17 )
= $true )
| ( ( element @ SV17 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(282,plain,
! [SV18: $i] :
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV18 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ SV18 )
= $true )
| ( ( element @ SV18 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(283,plain,
! [SV20: $i] :
( ( ( element @ SV20 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV20 )
| ( related @ sK1_A @ sK2_SY20 @ SV20 ) )
= $true )
| ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(284,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(285,plain,
( ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(286,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK5_SY35 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(287,plain,
( ( ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(288,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK4_SY36 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(289,plain,
( ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( ~ ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(290,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ( relstr_set_smaller @ SV4 @ SV9 @ SV13 )
= $false )
| ( ( element @ SV13 @ ( the_carrier @ SV4 ) )
= $false )
| ( ( related @ SV4 @ SV13 @ ( sK8_D @ SV13 @ SV9 @ SV4 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV4 @ SV9 )
= $true )
| ( ( antisymmetric_relstr @ SV4 )
= $false )
| ( ( rel_str @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(291,plain,
! [SV8: $i,SV7: $i,SV5: $i] :
( ( ( relstr_set_smaller @ SV5 @ SV7 @ SV8 )
= $false )
| ( ( related @ SV5 @ SV8 @ ( sK12_D @ SV8 @ SV7 @ SV5 ) )
= $false )
| ( ( SV8
= ( join_on_relstr @ SV5 @ SV7 ) )
= $true )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV7 )
= $false )
| ( ( element @ SV8 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(292,plain,
! [SV14: $i,SV19: $i,SV11: $i,SV5: $i] :
( ( ( relstr_set_smaller @ SV5 @ SV11 @ SV19 )
= $false )
| ( ( related @ SV5 @ SV14 @ SV19 )
= $true )
| ( ( element @ SV19 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( SV14
= ( join_on_relstr @ SV5 @ SV11 ) )
= $false )
| ( ( ex_sup_of_relstr_set @ SV5 @ SV11 )
= $false )
| ( ( element @ SV14 @ ( the_carrier @ SV5 ) )
= $false )
| ( ( rel_str @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV20: $i] :
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV20 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ SV20 )
= $true )
| ( ( element @ SV20 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(294,plain,
! [SV21: $i] :
( ( ( ~ ( element @ SV21 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV21 )
| ( related @ sK1_A @ sK2_SY20 @ SV21 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(295,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( ! [SX0: $i] :
( ~ ( element @ SX0 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SX0 )
| ( related @ sK1_A @ sK2_SY20 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(296,plain,
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ sK5_SY35 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(297,plain,
( ( ( ex_sup_of_relstr_set @ sK1_A @ sK3_SY24 )
= $false )
| ( ( sK2_SY20
= ( join_on_relstr @ sK1_A @ sK3_SY24 ) )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ sK4_SY36 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(298,plain,
! [SV20: $i] :
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV20 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ SV20 )
= $true )
| ( ( element @ SV20 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( element @ sK6_SY33 @ ( the_carrier @ sK1_A ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(299,plain,
! [SV21: $i] :
( ( ( ~ ( element @ SV21 @ ( the_carrier @ sK1_A ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV21 )
| ( related @ sK1_A @ sK2_SY20 @ SV21 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(300,plain,
! [SV22: $i] :
( ( ( ~ ( element @ SV22 @ ( the_carrier @ sK1_A ) )
| ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV22 )
| ( related @ sK1_A @ sK2_SY20 @ SV22 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(301,plain,
! [SV21: $i] :
( ( ( element @ SV21 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV21 )
| ( related @ sK1_A @ sK2_SY20 @ SV21 ) )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(302,plain,
! [SV22: $i] :
( ( ( ~ ( element @ SV22 @ ( the_carrier @ sK1_A ) ) )
= $true )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV22 )
| ( related @ sK1_A @ sK2_SY20 @ SV22 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(303,plain,
! [SV21: $i] :
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV21 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ SV21 )
= $true )
| ( ( element @ SV21 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(304,plain,
! [SV22: $i] :
( ( ( element @ SV22 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV22 )
| ( related @ sK1_A @ sK2_SY20 @ SV22 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(305,plain,
! [SV21: $i] :
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV21 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ SV21 )
= $true )
| ( ( element @ SV21 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK6_SY33 )
= $true )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(306,plain,
! [SV22: $i] :
( ( ( ~ ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV22 ) )
= $true )
| ( ( related @ sK1_A @ sK2_SY20 @ SV22 )
= $true )
| ( ( element @ SV22 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(307,plain,
! [SV22: $i] :
( ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ SV22 )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ SV22 )
= $true )
| ( ( element @ SV22 @ ( the_carrier @ sK1_A ) )
= $false )
| ( ( related @ sK1_A @ sK2_SY20 @ sK6_SY33 )
= $false )
| ( ( relstr_set_smaller @ sK1_A @ sK3_SY24 @ sK2_SY20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(308,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[40,307,305,298,297,296,292,291,290,288,286,282,281,278,276,249,244,242,235,231,221,217,216,204,203,201,200,71,69,66,55,48,47,44,43,42,41]) ).
thf(309,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 09:31:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 10
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:0,translation:fof_full)...................
% 0.37/0.55
% 0.37/0.55 ********************************
% 0.37/0.55 * All subproblems solved! *
% 0.37/0.55 ********************************
% 0.37/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:308,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.37/0.61
% 0.37/0.61 %**** Beginning of derivation protocol ****
% 0.37/0.61 % SZS output start CNFRefutation
% See solution above
% 0.37/0.61
% 0.37/0.61 %**** End of derivation protocol ****
% 0.37/0.61 %**** no. of clauses in derivation: 309 ****
% 0.37/0.61 %**** clause counter: 308 ****
% 0.37/0.61
% 0.37/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:308,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------