TSTP Solution File: SET587+3 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n010.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 03:03:06 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 349 ( 199 unt; 11 typ; 0 def)
% Number of atoms : 2086 ( 704 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 3997 ( 820 ~; 684 |; 41 &;2425 @)
% ( 19 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 874 ( 0 ^ 874 !; 0 ?; 874 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_empty,type,
empty: $i > $o ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_sK1_B,type,
sK1_B: $i ).
thf(tp_sK2_SY20,type,
sK2_SY20: $i ).
thf(tp_sK3_C,type,
sK3_C: $i > $i ).
thf(tp_sK4_D,type,
sK4_D: $i > $i > $i ).
thf(tp_sK5_D,type,
sK5_D: $i > $i > $i ).
thf(tp_sK6_D,type,
sK6_D: $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(1,axiom,
! [B: $i] :
( ( empty @ B )
<=> ! [C: $i] :
~ ( member @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
thf(2,axiom,
! [B: $i] : ( subset @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
thf(3,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
thf(4,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
thf(5,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
thf(6,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
thf(7,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
thf(8,axiom,
! [B: $i,C: $i] :
( ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).
thf(9,conjecture,
! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_empty_set) ).
thf(10,negated_conjecture,
( ( ! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [B: $i] :
( ( empty @ B )
<=> ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [B: $i] : ( subset @ B @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [B: $i,C: $i] :
( ( B = C )
<=> ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ! [B: $i] :
~ ( member @ B @ empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [B: $i,C: $i] :
( ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) )
=> ( B = C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ! [SY20: $i] :
( ( ( difference @ sK1_B @ SY20 )
= empty_set )
<=> ( subset @ sK1_B @ SY20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(21,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
<=> ( subset @ sK1_B @ sK2_SY20 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(22,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
=> ( subset @ sK1_B @ sK2_SY20 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(23,plain,
( ( ( subset @ sK1_B @ sK2_SY20 )
=> ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(24,plain,
( ( ~ ( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
=> ( subset @ sK1_B @ sK2_SY20 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ( ( subset @ sK1_B @ sK2_SY20 )
=> ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
& ~ ( subset @ sK1_B @ sK2_SY20 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(27,plain,
( ( ( subset @ sK1_B @ sK2_SY20 )
& ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(28,plain,
( ( ! [B: $i] :
( ( member @ ( sK3_C @ B ) @ B )
| ( empty @ B ) )
& ! [B: $i] :
( ~ ( empty @ B )
| ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(29,plain,
( ( ! [B: $i,C: $i] :
( ( ( ~ ( member @ ( sK4_D @ C @ B ) @ B )
| ~ ( member @ ( sK4_D @ C @ B ) @ C ) )
& ( ( member @ ( sK4_D @ C @ B ) @ B )
| ( member @ ( sK4_D @ C @ B ) @ C ) ) )
| ( B = C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( ! [D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C ) )
& ! [D: $i] :
( ~ ( member @ D @ C )
| ( member @ D @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(30,plain,
( ( ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ~ ( subset @ C @ B )
| ( B = C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( subset @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(31,plain,
( ( ! [B: $i,C: $i] :
( ( ( member @ ( sK5_D @ C @ B ) @ B )
& ~ ( member @ ( sK5_D @ C @ B ) @ C ) )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ! [D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(32,plain,
( ( ! [B: $i] :
( ! [C: $i,D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C )
| ( member @ D @ ( difference @ B @ C ) ) )
& ! [C: $i,D: $i] :
( ~ ( member @ D @ ( difference @ B @ C ) )
| ( member @ D @ B ) )
& ! [C: $i,D: $i] :
( ~ ( member @ D @ ( difference @ B @ C ) )
| ~ ( member @ D @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(33,plain,
( ( ! [B: $i,C: $i] :
( ( ( ~ ( member @ ( sK6_D @ C @ B ) @ B )
| ~ ( member @ ( sK6_D @ C @ B ) @ C ) )
& ( ( member @ ( sK6_D @ C @ B ) @ B )
| ( member @ ( sK6_D @ C @ B ) @ C ) ) )
| ( B = C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(34,plain,
( ( ! [B: $i,C: $i] :
( ( ( ~ ( member @ ( sK6_D @ C @ B ) @ B )
| ~ ( member @ ( sK6_D @ C @ B ) @ C ) )
& ( ( member @ ( sK6_D @ C @ B ) @ B )
| ( member @ ( sK6_D @ C @ B ) @ C ) ) )
| ( B = C ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(35,plain,
( ( ! [B: $i] :
( ! [C: $i,D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C )
| ( member @ D @ ( difference @ B @ C ) ) )
& ! [C: $i,D: $i] :
( ~ ( member @ D @ ( difference @ B @ C ) )
| ( member @ D @ B ) )
& ! [C: $i,D: $i] :
( ~ ( member @ D @ ( difference @ B @ C ) )
| ~ ( member @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(36,plain,
( ( ! [B: $i] :
~ ( member @ B @ empty_set ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(37,plain,
( ( ! [B: $i,C: $i] :
( ( ( member @ ( sK5_D @ C @ B ) @ B )
& ~ ( member @ ( sK5_D @ C @ B ) @ C ) )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ! [D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(38,plain,
( ( ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ~ ( subset @ C @ B )
| ( B = C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( subset @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(39,plain,
( ( ! [B: $i,C: $i] :
( ( ( ~ ( member @ ( sK4_D @ C @ B ) @ B )
| ~ ( member @ ( sK4_D @ C @ B ) @ C ) )
& ( ( member @ ( sK4_D @ C @ B ) @ B )
| ( member @ ( sK4_D @ C @ B ) @ C ) ) )
| ( B = C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( ! [D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C ) )
& ! [D: $i] :
( ~ ( member @ D @ C )
| ( member @ D @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( ! [B: $i] : ( subset @ B @ B ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(41,plain,
( ( ! [B: $i] :
( ( member @ ( sK3_C @ B ) @ B )
| ( empty @ B ) )
& ! [B: $i] :
( ~ ( empty @ B )
| ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(42,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
& ~ ( subset @ sK1_B @ sK2_SY20 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(43,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 )
| ( member @ SX2 @ ( difference @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX2 @ ( difference @ SX0 @ SX1 ) )
| ( member @ SX2 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX2 @ ( difference @ SX0 @ SX1 ) )
| ~ ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set )
| ~ ~ ( subset @ sK1_B @ sK2_SY20 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(46,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(47,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(48,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(49,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(50,plain,
! [SV1: $i] :
( ( ~ ( member @ SV1 @ empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(51,plain,
! [SV2: $i] :
( ( subset @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(52,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( member @ SY22 @ SV3 )
| ( member @ SY22 @ SY21 )
| ( member @ SY22 @ ( difference @ SV3 @ SY21 ) ) )
| ~ ~ ( ~ ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) )
| ~ ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(53,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(54,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set )
| ~ ~ ( subset @ sK1_B @ sK2_SY20 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(55,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(56,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(57,plain,
! [SV4: $i] :
( ( ! [SY27: $i] :
( ~ ( ~ ( ~ ( member @ ( sK6_D @ SY27 @ SV4 ) @ SV4 )
| ~ ( member @ ( sK6_D @ SY27 @ SV4 ) @ SY27 ) )
| ~ ( ( member @ ( sK6_D @ SY27 @ SV4 ) @ SV4 )
| ( member @ ( sK6_D @ SY27 @ SV4 ) @ SY27 ) ) )
| ( SV4 = SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(58,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(59,plain,
! [SV1: $i] :
( ( member @ SV1 @ empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(60,plain,
! [SV3: $i] :
( ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( member @ SY22 @ SV3 )
| ( member @ SY22 @ SY21 )
| ( member @ SY22 @ ( difference @ SV3 @ SY21 ) ) )
| ~ ~ ( ~ ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) )
| ~ ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(63,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(64,plain,
( ( ~ ~ ( subset @ sK1_B @ sK2_SY20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(66,plain,
( ( ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(67,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(68,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(69,plain,
! [SV4: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
| ~ ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) ) )
| ( SV4 = SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(70,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(71,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(72,plain,
! [SV3: $i] :
( ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( member @ SY22 @ SV3 )
| ( member @ SY22 @ SY21 )
| ( member @ SY22 @ ( difference @ SV3 @ SY21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(73,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) )
| ~ ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(76,plain,
( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(77,plain,
( ( ~ ( subset @ sK1_B @ sK2_SY20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(78,plain,
( ( ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(79,plain,
( ( ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(82,plain,
! [SV4: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
| ~ ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) ) ) )
= $true )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(84,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV3: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ~ ( member @ SY22 @ SV3 )
| ( member @ SY22 @ SY21 )
| ( member @ SY22 @ ( difference @ SV3 @ SY21 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(86,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) )
| ~ ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(87,plain,
! [SV6: $i] :
( ( ! [SY28: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SY28 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK4_D @ SY28 @ SV6 ) @ SY28 ) )
| ~ ( ( member @ ( sK4_D @ SY28 @ SV6 ) @ SV6 )
| ( member @ ( sK4_D @ SY28 @ SV6 ) @ SY28 ) ) )
| ( SV6 = SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV7: $i] :
( ( ! [SY29: $i] :
( ( SV7 != SY29 )
| ~ ( ~ ! [SY30: $i] :
( ~ ( member @ SY30 @ SV7 )
| ( member @ SY30 @ SY29 ) )
| ~ ! [SY31: $i] :
( ~ ( member @ SY31 @ SY29 )
| ( member @ SY31 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(89,plain,
( ( subset @ sK1_B @ sK2_SY20 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV8: $i] :
( ( ( member @ ( sK3_C @ SV8 ) @ SV8 )
| ( empty @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV9: $i] :
( ( ~ ( empty @ SV9 )
| ! [SY32: $i] :
~ ( member @ SY32 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV10: $i] :
( ( ! [SY33: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SY33 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK5_D @ SY33 @ SV10 ) @ SY33 ) )
| ( subset @ SV10 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV11: $i] :
( ( ! [SY34: $i] :
( ~ ( subset @ SV11 @ SY34 )
| ! [SY35: $i] :
( ~ ( member @ SY35 @ SV11 )
| ( member @ SY35 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV4: $i,SV5: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
| ~ ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) ) )
= $false )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV12: $i] :
( ( ! [SY36: $i] :
( ~ ( subset @ SV12 @ SY36 )
| ~ ( subset @ SY36 @ SV12 )
| ( SV12 = SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(96,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV13: $i,SV3: $i] :
( ( ! [SY37: $i] :
( ~ ( member @ SY37 @ SV3 )
| ( member @ SY37 @ SV13 )
| ( member @ SY37 @ ( difference @ SV3 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV3: $i] :
( ( ~ ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) )
| ~ ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV6: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
| ~ ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) ) )
| ( SV6 = SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV15: $i,SV7: $i] :
( ( ( SV7 != SV15 )
| ~ ( ~ ! [SY38: $i] :
( ~ ( member @ SY38 @ SV7 )
| ( member @ SY38 @ SV15 ) )
| ~ ! [SY39: $i] :
( ~ ( member @ SY39 @ SV15 )
| ( member @ SY39 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV8: $i] :
( ( ( member @ ( sK3_C @ SV8 ) @ SV8 )
= $true )
| ( ( empty @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV9: $i] :
( ( ( ~ ( empty @ SV9 ) )
= $true )
| ( ( ! [SY32: $i] :
~ ( member @ SY32 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV16 ) )
| ( subset @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV17: $i,SV11: $i] :
( ( ~ ( subset @ SV11 @ SV17 )
| ! [SY40: $i] :
( ~ ( member @ SY40 @ SV11 )
| ( member @ SY40 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV4: $i,SV5: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) ) )
= $false )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(106,plain,
! [SV4: $i,SV5: $i] :
( ( ( ~ ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) ) )
= $false )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(107,plain,
! [SV18: $i,SV12: $i] :
( ( ~ ( subset @ SV12 @ SV18 )
| ~ ( subset @ SV18 @ SV12 )
| ( SV12 = SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(108,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(109,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(110,plain,
! [SV13: $i,SV3: $i,SV19: $i] :
( ( ~ ( member @ SV19 @ SV3 )
| ( member @ SV19 @ SV13 )
| ( member @ SV19 @ ( difference @ SV3 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV3: $i] :
( ( ~ ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(112,plain,
! [SV3: $i] :
( ( ~ ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(113,plain,
! [SV6: $i,SV14: $i] :
( ( ( ~ ( ~ ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
| ~ ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) ) ) )
= $true )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV15: $i,SV7: $i] :
( ( ( ( SV7 != SV15 ) )
= $true )
| ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( member @ SY38 @ SV7 )
| ( member @ SY38 @ SV15 ) )
| ~ ! [SY39: $i] :
( ~ ( member @ SY39 @ SV15 )
| ( member @ SY39 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV9: $i] :
( ( ( empty @ SV9 )
= $false )
| ( ( ! [SY32: $i] :
~ ( member @ SY32 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV16 ) ) )
= $true )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV17: $i,SV11: $i] :
( ( ( ~ ( subset @ SV11 @ SV17 ) )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( member @ SY40 @ SV11 )
| ( member @ SY40 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV4: $i,SV5: $i] :
( ( ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
= $true )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(119,plain,
! [SV4: $i,SV5: $i] :
( ( ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
| ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
= $true )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(120,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ( subset @ SV12 @ SV18 )
| ~ ( subset @ SV18 @ SV12 ) )
= $true )
| ( ( SV12 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(122,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(123,plain,
! [SV13: $i,SV3: $i,SV19: $i] :
( ( ( ~ ( member @ SV19 @ SV3 )
| ( member @ SV19 @ SV13 ) )
= $true )
| ( ( member @ SV19 @ ( difference @ SV3 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV3: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ~ ( member @ SY24 @ ( difference @ SV3 @ SY23 ) )
| ( member @ SY24 @ SV3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(125,plain,
! [SV3: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ( member @ SY26 @ ( difference @ SV3 @ SY25 ) )
| ~ ( member @ SY26 @ SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(126,plain,
! [SV6: $i,SV14: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
| ~ ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) ) )
= $false )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV15: $i,SV7: $i] :
( ( ( SV7 = SV15 )
= $false )
| ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( member @ SY38 @ SV7 )
| ( member @ SY38 @ SV15 ) )
| ~ ! [SY39: $i] :
( ~ ( member @ SY39 @ SV15 )
| ( member @ SY39 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV9: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ SV9 ) )
= $true )
| ( ( empty @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV16 ) )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV17: $i,SV11: $i] :
( ( ( subset @ SV11 @ SV17 )
= $false )
| ( ( ! [SY40: $i] :
( ~ ( member @ SY40 @ SV11 )
| ( member @ SY40 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV4: $i,SV5: $i] :
( ( ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 ) )
= $true )
| ( ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
= $true )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV4: $i,SV5: $i] :
( ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
= $true )
| ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 )
= $true )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ( subset @ SV12 @ SV18 ) )
= $true )
| ( ( ~ ( subset @ SV18 @ SV12 ) )
= $true )
| ( ( SV12 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(134,plain,
! [SV21: $i] :
( ( ! [SY41: $i] :
( ( SV21 != SY41 )
| ( subset @ SV21 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(135,plain,
! [SV22: $i] :
( ( ! [SY42: $i] :
( ( SV22 != SY42 )
| ( subset @ SY42 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(136,plain,
! [SV13: $i,SV3: $i,SV19: $i] :
( ( ( ~ ( member @ SV19 @ SV3 ) )
= $true )
| ( ( member @ SV19 @ SV13 )
= $true )
| ( ( member @ SV19 @ ( difference @ SV3 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(137,plain,
! [SV23: $i,SV3: $i] :
( ( ! [SY43: $i] :
( ~ ( member @ SY43 @ ( difference @ SV3 @ SV23 ) )
| ( member @ SY43 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(138,plain,
! [SV24: $i,SV3: $i] :
( ( ! [SY44: $i] :
( ~ ( member @ SY44 @ ( difference @ SV3 @ SV24 ) )
| ~ ( member @ SY44 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(139,plain,
! [SV6: $i,SV14: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) ) )
= $false )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(140,plain,
! [SV6: $i,SV14: $i] :
( ( ( ~ ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) ) )
= $false )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(141,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( member @ SY38 @ SV7 )
| ( member @ SY38 @ SV15 ) )
| ~ ! [SY39: $i] :
( ~ ( member @ SY39 @ SV15 )
| ( member @ SY39 @ SV7 ) ) )
= $false )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(142,plain,
! [SV9: $i,SV20: $i] :
( ( ( member @ SV20 @ SV9 )
= $false )
| ( ( empty @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(143,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV10 ) )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(144,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV16 ) )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV17: $i,SV11: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ SV11 )
| ( member @ SV25 @ SV17 ) )
= $true )
| ( ( subset @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV4: $i,SV5: $i] :
( ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
= $false )
| ( ( ~ ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 ) )
= $true )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV18: $i,SV12: $i] :
( ( ( subset @ SV12 @ SV18 )
= $false )
| ( ( ~ ( subset @ SV18 @ SV12 ) )
= $true )
| ( ( SV12 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(148,plain,
! [SV26: $i,SV21: $i] :
( ( ( SV21 != SV26 )
| ( subset @ SV21 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(149,plain,
! [SV27: $i,SV22: $i] :
( ( ( SV22 != SV27 )
| ( subset @ SV27 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(150,plain,
! [SV13: $i,SV3: $i,SV19: $i] :
( ( ( member @ SV19 @ SV3 )
= $false )
| ( ( member @ SV19 @ SV13 )
= $true )
| ( ( member @ SV19 @ ( difference @ SV3 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(151,plain,
! [SV23: $i,SV3: $i,SV28: $i] :
( ( ~ ( member @ SV28 @ ( difference @ SV3 @ SV23 ) )
| ( member @ SV28 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(152,plain,
! [SV24: $i,SV3: $i,SV29: $i] :
( ( ~ ( member @ SV29 @ ( difference @ SV3 @ SV24 ) )
| ~ ( member @ SV29 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(153,plain,
! [SV6: $i,SV14: $i] :
( ( ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
= $true )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(154,plain,
! [SV6: $i,SV14: $i] :
( ( ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
| ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
= $true )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(155,plain,
! [SV15: $i,SV7: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( member @ SY38 @ SV7 )
| ( member @ SY38 @ SV15 ) ) )
= $false )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(156,plain,
! [SV7: $i,SV15: $i] :
( ( ( ~ ! [SY39: $i] :
( ~ ( member @ SY39 @ SV15 )
| ( member @ SY39 @ SV7 ) ) )
= $false )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(157,plain,
! [SV10: $i,SV16: $i] :
( ( ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV10 )
= $true )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(158,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV16 ) )
= $true )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(159,plain,
! [SV17: $i,SV11: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ SV11 ) )
= $true )
| ( ( member @ SV25 @ SV17 )
= $true )
| ( ( subset @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(160,plain,
! [SV4: $i,SV5: $i] :
( ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV5 )
= $false )
| ( ( member @ ( sK6_D @ SV5 @ SV4 ) @ SV4 )
= $false )
| ( ( SV4 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(161,plain,
! [SV12: $i,SV18: $i] :
( ( ( subset @ SV18 @ SV12 )
= $false )
| ( ( subset @ SV12 @ SV18 )
= $false )
| ( ( SV12 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(162,plain,
! [SV26: $i,SV21: $i] :
( ( ( ( SV21 != SV26 ) )
= $true )
| ( ( subset @ SV21 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(163,plain,
! [SV27: $i,SV22: $i] :
( ( ( ( SV22 != SV27 ) )
= $true )
| ( ( subset @ SV27 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(164,plain,
! [SV23: $i,SV3: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ ( difference @ SV3 @ SV23 ) ) )
= $true )
| ( ( member @ SV28 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(165,plain,
! [SV24: $i,SV3: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ ( difference @ SV3 @ SV24 ) ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(166,plain,
! [SV6: $i,SV14: $i] :
( ( ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 ) )
= $true )
| ( ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
= $true )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(167,plain,
! [SV6: $i,SV14: $i] :
( ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
= $true )
| ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 )
= $true )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(168,plain,
! [SV15: $i,SV7: $i] :
( ( ( ! [SY38: $i] :
( ~ ( member @ SY38 @ SV7 )
| ( member @ SY38 @ SV15 ) ) )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(169,plain,
! [SV7: $i,SV15: $i] :
( ( ( ! [SY39: $i] :
( ~ ( member @ SY39 @ SV15 )
| ( member @ SY39 @ SV7 ) ) )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(170,plain,
! [SV10: $i,SV16: $i] :
( ( ( member @ ( sK5_D @ SV16 @ SV10 ) @ SV16 )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(171,plain,
! [SV17: $i,SV11: $i,SV25: $i] :
( ( ( member @ SV25 @ SV11 )
= $false )
| ( ( member @ SV25 @ SV17 )
= $true )
| ( ( subset @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV26: $i,SV21: $i] :
( ( ( SV21 = SV26 )
= $false )
| ( ( subset @ SV21 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(173,plain,
! [SV27: $i,SV22: $i] :
( ( ( SV22 = SV27 )
= $false )
| ( ( subset @ SV27 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(174,plain,
! [SV23: $i,SV3: $i,SV28: $i] :
( ( ( member @ SV28 @ ( difference @ SV3 @ SV23 ) )
= $false )
| ( ( member @ SV28 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(175,plain,
! [SV24: $i,SV3: $i,SV29: $i] :
( ( ( member @ SV29 @ ( difference @ SV3 @ SV24 ) )
= $false )
| ( ( ~ ( member @ SV29 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(176,plain,
! [SV6: $i,SV14: $i] :
( ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
= $false )
| ( ( ~ ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 ) )
= $true )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(177,plain,
! [SV15: $i,SV7: $i,SV30: $i] :
( ( ( ~ ( member @ SV30 @ SV7 )
| ( member @ SV30 @ SV15 ) )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV7: $i,SV15: $i,SV31: $i] :
( ( ( ~ ( member @ SV31 @ SV15 )
| ( member @ SV31 @ SV7 ) )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(179,plain,
! [SV3: $i,SV24: $i,SV29: $i] :
( ( ( member @ SV29 @ SV24 )
= $false )
| ( ( member @ SV29 @ ( difference @ SV3 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(180,plain,
! [SV6: $i,SV14: $i] :
( ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV14 )
= $false )
| ( ( member @ ( sK4_D @ SV14 @ SV6 ) @ SV6 )
= $false )
| ( ( SV6 = SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(181,plain,
! [SV15: $i,SV7: $i,SV30: $i] :
( ( ( ~ ( member @ SV30 @ SV7 ) )
= $true )
| ( ( member @ SV30 @ SV15 )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV7: $i,SV15: $i,SV31: $i] :
( ( ( ~ ( member @ SV31 @ SV15 ) )
= $true )
| ( ( member @ SV31 @ SV7 )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(183,plain,
! [SV15: $i,SV7: $i,SV30: $i] :
( ( ( member @ SV30 @ SV7 )
= $false )
| ( ( member @ SV30 @ SV15 )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(184,plain,
! [SV7: $i,SV15: $i,SV31: $i] :
( ( ( member @ SV31 @ SV15 )
= $false )
| ( ( member @ SV31 @ SV7 )
= $true )
| ( ( SV7 = SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(185,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[51,184,183,180,179,174,173,172,171,170,167,161,160,157,150,142,132,101,89,76,59]) ).
thf(186,plain,
( ( ! [B: $i,C: $i] :
( ( ( ~ ( member @ ( sK6_D @ C @ B ) @ B )
| ~ ( member @ ( sK6_D @ C @ B ) @ C ) )
& ( ( member @ ( sK6_D @ C @ B ) @ B )
| ( member @ ( sK6_D @ C @ B ) @ C ) ) )
| ( B = C ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(187,plain,
( ( ! [B: $i] :
( ! [C: $i,D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C )
| ( member @ D @ ( difference @ B @ C ) ) )
& ! [C: $i,D: $i] :
( ~ ( member @ D @ ( difference @ B @ C ) )
| ( member @ D @ B ) )
& ! [C: $i,D: $i] :
( ~ ( member @ D @ ( difference @ B @ C ) )
| ~ ( member @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(188,plain,
( ( ! [B: $i] :
~ ( member @ B @ empty_set ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(189,plain,
( ( ! [B: $i,C: $i] :
( ( ( member @ ( sK5_D @ C @ B ) @ B )
& ~ ( member @ ( sK5_D @ C @ B ) @ C ) )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ! [D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(190,plain,
( ( ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ~ ( subset @ C @ B )
| ( B = C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( subset @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(191,plain,
( ( ! [B: $i,C: $i] :
( ( ( ~ ( member @ ( sK4_D @ C @ B ) @ B )
| ~ ( member @ ( sK4_D @ C @ B ) @ C ) )
& ( ( member @ ( sK4_D @ C @ B ) @ B )
| ( member @ ( sK4_D @ C @ B ) @ C ) ) )
| ( B = C ) )
& ! [B: $i,C: $i] :
( ( B != C )
| ( ! [D: $i] :
( ~ ( member @ D @ B )
| ( member @ D @ C ) )
& ! [D: $i] :
( ~ ( member @ D @ C )
| ( member @ D @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(192,plain,
( ( ! [B: $i] : ( subset @ B @ B ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(193,plain,
( ( ! [B: $i] :
( ( member @ ( sK3_C @ B ) @ B )
| ( empty @ B ) )
& ! [B: $i] :
( ~ ( empty @ B )
| ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(194,plain,
( ( ( subset @ sK1_B @ sK2_SY20 )
& ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(195,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(196,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(197,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(198,plain,
( ( ~ ( ~ ( subset @ sK1_B @ sK2_SY20 )
| ~ ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(199,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 )
| ( member @ SX2 @ ( difference @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX2 @ ( difference @ SX0 @ SX1 ) )
| ( member @ SX2 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX2 @ ( difference @ SX0 @ SX1 ) )
| ~ ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(200,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK6_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(201,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(202,plain,
! [SV32: $i] :
( ( ~ ( member @ SV32 @ empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(203,plain,
! [SV33: $i] :
( ( subset @ SV33 @ SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(204,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(205,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(206,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(207,plain,
( ( ~ ( subset @ sK1_B @ sK2_SY20 )
| ~ ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(208,plain,
! [SV34: $i] :
( ( ~ ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( member @ SY46 @ SV34 )
| ( member @ SY46 @ SY45 )
| ( member @ SY46 @ ( difference @ SV34 @ SY45 ) ) )
| ~ ~ ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) )
| ~ ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(209,plain,
! [SV35: $i] :
( ( ! [SY51: $i] :
( ~ ( ~ ( ~ ( member @ ( sK6_D @ SY51 @ SV35 ) @ SV35 )
| ~ ( member @ ( sK6_D @ SY51 @ SV35 ) @ SY51 ) )
| ~ ( ( member @ ( sK6_D @ SY51 @ SV35 ) @ SV35 )
| ( member @ ( sK6_D @ SY51 @ SV35 ) @ SY51 ) ) )
| ( SV35 = SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(210,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(211,plain,
! [SV32: $i] :
( ( member @ SV32 @ empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(212,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(213,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(214,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(215,plain,
( ( ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(216,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(217,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(218,plain,
( ( ~ ( subset @ sK1_B @ sK2_SY20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(219,plain,
( ( ~ ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(220,plain,
! [SV34: $i] :
( ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( member @ SY46 @ SV34 )
| ( member @ SY46 @ SY45 )
| ( member @ SY46 @ ( difference @ SV34 @ SY45 ) ) )
| ~ ~ ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) )
| ~ ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(221,plain,
! [SV35: $i,SV36: $i] :
( ( ~ ( ~ ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
| ~ ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) ) )
| ( SV35 = SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(222,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(223,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ~ ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX0 )
| ( member @ ( sK4_D @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(226,plain,
( ( ! [SX0: $i] :
( ( member @ ( sK3_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(227,plain,
( ( ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(228,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(229,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(230,plain,
( ( subset @ sK1_B @ sK2_SY20 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(231,plain,
( ( ( ( difference @ sK1_B @ sK2_SY20 )
!= empty_set ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(232,plain,
! [SV34: $i] :
( ( ~ ! [SY45: $i,SY46: $i] :
( ~ ( member @ SY46 @ SV34 )
| ( member @ SY46 @ SY45 )
| ( member @ SY46 @ ( difference @ SV34 @ SY45 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(233,plain,
! [SV34: $i] :
( ( ~ ~ ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) )
| ~ ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(234,plain,
! [SV35: $i,SV36: $i] :
( ( ( ~ ( ~ ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
| ~ ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) ) ) )
= $true )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(235,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK5_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(236,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(237,plain,
! [SV37: $i] :
( ( ! [SY52: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SY52 @ SV37 ) @ SV37 )
| ~ ( member @ ( sK4_D @ SY52 @ SV37 ) @ SY52 ) )
| ~ ( ( member @ ( sK4_D @ SY52 @ SV37 ) @ SV37 )
| ( member @ ( sK4_D @ SY52 @ SV37 ) @ SY52 ) ) )
| ( SV37 = SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(238,plain,
! [SV38: $i] :
( ( ! [SY53: $i] :
( ( SV38 != SY53 )
| ~ ( ~ ! [SY54: $i] :
( ~ ( member @ SY54 @ SV38 )
| ( member @ SY54 @ SY53 ) )
| ~ ! [SY55: $i] :
( ~ ( member @ SY55 @ SY53 )
| ( member @ SY55 @ SV38 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(239,plain,
! [SV39: $i] :
( ( ( member @ ( sK3_C @ SV39 ) @ SV39 )
| ( empty @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(240,plain,
! [SV40: $i] :
( ( ~ ( empty @ SV40 )
| ! [SY56: $i] :
~ ( member @ SY56 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(241,plain,
! [SV41: $i] :
( ( ! [SY57: $i] :
( ~ ( subset @ SV41 @ SY57 )
| ~ ( subset @ SY57 @ SV41 )
| ( SV41 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(242,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(243,plain,
( ( ( difference @ sK1_B @ sK2_SY20 )
= empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV34: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ( member @ SY46 @ SV34 )
| ( member @ SY46 @ SY45 )
| ( member @ SY46 @ ( difference @ SV34 @ SY45 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(245,plain,
! [SV34: $i] :
( ( ~ ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) )
| ~ ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(246,plain,
! [SV35: $i,SV36: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
| ~ ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) ) )
= $false )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV42: $i] :
( ( ! [SY58: $i] :
( ~ ( ~ ( member @ ( sK5_D @ SY58 @ SV42 ) @ SV42 )
| ~ ~ ( member @ ( sK5_D @ SY58 @ SV42 ) @ SY58 ) )
| ( subset @ SV42 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV43: $i] :
( ( ! [SY59: $i] :
( ~ ( subset @ SV43 @ SY59 )
| ! [SY60: $i] :
( ~ ( member @ SY60 @ SV43 )
| ( member @ SY60 @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV37: $i,SV44: $i] :
( ( ~ ( ~ ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
| ~ ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) ) )
| ( SV37 = SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV45: $i,SV38: $i] :
( ( ( SV38 != SV45 )
| ~ ( ~ ! [SY61: $i] :
( ~ ( member @ SY61 @ SV38 )
| ( member @ SY61 @ SV45 ) )
| ~ ! [SY62: $i] :
( ~ ( member @ SY62 @ SV45 )
| ( member @ SY62 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV39: $i] :
( ( ( member @ ( sK3_C @ SV39 ) @ SV39 )
= $true )
| ( ( empty @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV40: $i] :
( ( ( ~ ( empty @ SV40 ) )
= $true )
| ( ( ! [SY56: $i] :
~ ( member @ SY56 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV46: $i,SV41: $i] :
( ( ~ ( subset @ SV41 @ SV46 )
| ~ ( subset @ SV46 @ SV41 )
| ( SV41 = SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(254,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(255,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(256,plain,
! [SV47: $i,SV34: $i] :
( ( ! [SY63: $i] :
( ~ ( member @ SY63 @ SV34 )
| ( member @ SY63 @ SV47 )
| ( member @ SY63 @ ( difference @ SV34 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(257,plain,
! [SV34: $i] :
( ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) )
| ~ ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(258,plain,
! [SV35: $i,SV36: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) ) )
= $false )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(259,plain,
! [SV35: $i,SV36: $i] :
( ( ( ~ ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) ) )
= $false )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(260,plain,
! [SV42: $i,SV48: $i] :
( ( ~ ( ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV42 )
| ~ ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV48 ) )
| ( subset @ SV42 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(261,plain,
! [SV49: $i,SV43: $i] :
( ( ~ ( subset @ SV43 @ SV49 )
| ! [SY64: $i] :
( ~ ( member @ SY64 @ SV43 )
| ( member @ SY64 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV37: $i,SV44: $i] :
( ( ( ~ ( ~ ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
| ~ ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) ) ) )
= $true )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV45: $i,SV38: $i] :
( ( ( ( SV38 != SV45 ) )
= $true )
| ( ( ~ ( ~ ! [SY61: $i] :
( ~ ( member @ SY61 @ SV38 )
| ( member @ SY61 @ SV45 ) )
| ~ ! [SY62: $i] :
( ~ ( member @ SY62 @ SV45 )
| ( member @ SY62 @ SV38 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV40: $i] :
( ( ( empty @ SV40 )
= $false )
| ( ( ! [SY56: $i] :
~ ( member @ SY56 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(265,plain,
! [SV46: $i,SV41: $i] :
( ( ( ~ ( subset @ SV41 @ SV46 )
| ~ ( subset @ SV46 @ SV41 ) )
= $true )
| ( ( SV41 = SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(266,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(267,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(268,plain,
! [SV47: $i,SV34: $i,SV50: $i] :
( ( ~ ( member @ SV50 @ SV34 )
| ( member @ SV50 @ SV47 )
| ( member @ SV50 @ ( difference @ SV34 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(269,plain,
! [SV34: $i] :
( ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(270,plain,
! [SV34: $i] :
( ( ~ ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(271,plain,
! [SV35: $i,SV36: $i] :
( ( ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
= $true )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(272,plain,
! [SV35: $i,SV36: $i] :
( ( ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
| ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
= $true )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(273,plain,
! [SV42: $i,SV48: $i] :
( ( ( ~ ( ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV42 )
| ~ ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV48 ) ) )
= $true )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(274,plain,
! [SV49: $i,SV43: $i] :
( ( ( ~ ( subset @ SV43 @ SV49 ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( member @ SY64 @ SV43 )
| ( member @ SY64 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV37: $i,SV44: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
| ~ ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) ) )
= $false )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV45: $i,SV38: $i] :
( ( ( SV38 = SV45 )
= $false )
| ( ( ~ ( ~ ! [SY61: $i] :
( ~ ( member @ SY61 @ SV38 )
| ( member @ SY61 @ SV45 ) )
| ~ ! [SY62: $i] :
( ~ ( member @ SY62 @ SV45 )
| ( member @ SY62 @ SV38 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV40: $i,SV51: $i] :
( ( ( ~ ( member @ SV51 @ SV40 ) )
= $true )
| ( ( empty @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(278,plain,
! [SV46: $i,SV41: $i] :
( ( ( ~ ( subset @ SV41 @ SV46 ) )
= $true )
| ( ( ~ ( subset @ SV46 @ SV41 ) )
= $true )
| ( ( SV41 = SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(279,plain,
! [SV52: $i] :
( ( ! [SY65: $i] :
( ( SV52 != SY65 )
| ( subset @ SV52 @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(280,plain,
! [SV53: $i] :
( ( ! [SY66: $i] :
( ( SV53 != SY66 )
| ( subset @ SY66 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(281,plain,
! [SV47: $i,SV34: $i,SV50: $i] :
( ( ( ~ ( member @ SV50 @ SV34 )
| ( member @ SV50 @ SV47 ) )
= $true )
| ( ( member @ SV50 @ ( difference @ SV34 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(282,plain,
! [SV34: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ~ ( member @ SY48 @ ( difference @ SV34 @ SY47 ) )
| ( member @ SY48 @ SV34 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(283,plain,
! [SV34: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ~ ( member @ SY50 @ ( difference @ SV34 @ SY49 ) )
| ~ ( member @ SY50 @ SY49 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(284,plain,
! [SV35: $i,SV36: $i] :
( ( ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 ) )
= $true )
| ( ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
= $true )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(285,plain,
! [SV35: $i,SV36: $i] :
( ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
= $true )
| ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 )
= $true )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(286,plain,
! [SV42: $i,SV48: $i] :
( ( ( ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV42 )
| ~ ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV48 ) )
= $false )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(287,plain,
! [SV49: $i,SV43: $i] :
( ( ( subset @ SV43 @ SV49 )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( member @ SY64 @ SV43 )
| ( member @ SY64 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(288,plain,
! [SV37: $i,SV44: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) ) )
= $false )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(289,plain,
! [SV37: $i,SV44: $i] :
( ( ( ~ ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) ) )
= $false )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(290,plain,
! [SV45: $i,SV38: $i] :
( ( ( ~ ! [SY61: $i] :
( ~ ( member @ SY61 @ SV38 )
| ( member @ SY61 @ SV45 ) )
| ~ ! [SY62: $i] :
( ~ ( member @ SY62 @ SV45 )
| ( member @ SY62 @ SV38 ) ) )
= $false )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(291,plain,
! [SV40: $i,SV51: $i] :
( ( ( member @ SV51 @ SV40 )
= $false )
| ( ( empty @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(292,plain,
! [SV46: $i,SV41: $i] :
( ( ( subset @ SV41 @ SV46 )
= $false )
| ( ( ~ ( subset @ SV46 @ SV41 ) )
= $true )
| ( ( SV41 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(293,plain,
! [SV54: $i,SV52: $i] :
( ( ( SV52 != SV54 )
| ( subset @ SV52 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(294,plain,
! [SV55: $i,SV53: $i] :
( ( ( SV53 != SV55 )
| ( subset @ SV55 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(295,plain,
! [SV47: $i,SV34: $i,SV50: $i] :
( ( ( ~ ( member @ SV50 @ SV34 ) )
= $true )
| ( ( member @ SV50 @ SV47 )
= $true )
| ( ( member @ SV50 @ ( difference @ SV34 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(296,plain,
! [SV56: $i,SV34: $i] :
( ( ! [SY67: $i] :
( ~ ( member @ SY67 @ ( difference @ SV34 @ SV56 ) )
| ( member @ SY67 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV57: $i,SV34: $i] :
( ( ! [SY68: $i] :
( ~ ( member @ SY68 @ ( difference @ SV34 @ SV57 ) )
| ~ ( member @ SY68 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(298,plain,
! [SV35: $i,SV36: $i] :
( ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
= $false )
| ( ( ~ ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 ) )
= $true )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(299,plain,
! [SV42: $i,SV48: $i] :
( ( ( ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV42 ) )
= $false )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(300,plain,
! [SV42: $i,SV48: $i] :
( ( ( ~ ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV48 ) )
= $false )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(301,plain,
! [SV49: $i,SV43: $i,SV58: $i] :
( ( ( ~ ( member @ SV58 @ SV43 )
| ( member @ SV58 @ SV49 ) )
= $true )
| ( ( subset @ SV43 @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(302,plain,
! [SV37: $i,SV44: $i] :
( ( ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
= $true )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(303,plain,
! [SV37: $i,SV44: $i] :
( ( ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
| ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
= $true )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(304,plain,
! [SV45: $i,SV38: $i] :
( ( ( ~ ! [SY61: $i] :
( ~ ( member @ SY61 @ SV38 )
| ( member @ SY61 @ SV45 ) ) )
= $false )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(305,plain,
! [SV38: $i,SV45: $i] :
( ( ( ~ ! [SY62: $i] :
( ~ ( member @ SY62 @ SV45 )
| ( member @ SY62 @ SV38 ) ) )
= $false )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(306,plain,
! [SV41: $i,SV46: $i] :
( ( ( subset @ SV46 @ SV41 )
= $false )
| ( ( subset @ SV41 @ SV46 )
= $false )
| ( ( SV41 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(307,plain,
! [SV54: $i,SV52: $i] :
( ( ( ( SV52 != SV54 ) )
= $true )
| ( ( subset @ SV52 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(308,plain,
! [SV55: $i,SV53: $i] :
( ( ( ( SV53 != SV55 ) )
= $true )
| ( ( subset @ SV55 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(309,plain,
! [SV47: $i,SV34: $i,SV50: $i] :
( ( ( member @ SV50 @ SV34 )
= $false )
| ( ( member @ SV50 @ SV47 )
= $true )
| ( ( member @ SV50 @ ( difference @ SV34 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(310,plain,
! [SV56: $i,SV34: $i,SV59: $i] :
( ( ~ ( member @ SV59 @ ( difference @ SV34 @ SV56 ) )
| ( member @ SV59 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(311,plain,
! [SV57: $i,SV34: $i,SV60: $i] :
( ( ~ ( member @ SV60 @ ( difference @ SV34 @ SV57 ) )
| ~ ( member @ SV60 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(312,plain,
! [SV35: $i,SV36: $i] :
( ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV36 )
= $false )
| ( ( member @ ( sK6_D @ SV36 @ SV35 ) @ SV35 )
= $false )
| ( ( SV35 = SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(313,plain,
! [SV42: $i,SV48: $i] :
( ( ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV42 )
= $true )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(314,plain,
! [SV42: $i,SV48: $i] :
( ( ( ~ ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV48 ) )
= $true )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(315,plain,
! [SV49: $i,SV43: $i,SV58: $i] :
( ( ( ~ ( member @ SV58 @ SV43 ) )
= $true )
| ( ( member @ SV58 @ SV49 )
= $true )
| ( ( subset @ SV43 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(316,plain,
! [SV37: $i,SV44: $i] :
( ( ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 ) )
= $true )
| ( ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
= $true )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(317,plain,
! [SV37: $i,SV44: $i] :
( ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
= $true )
| ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 )
= $true )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(318,plain,
! [SV45: $i,SV38: $i] :
( ( ( ! [SY61: $i] :
( ~ ( member @ SY61 @ SV38 )
| ( member @ SY61 @ SV45 ) ) )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(319,plain,
! [SV38: $i,SV45: $i] :
( ( ( ! [SY62: $i] :
( ~ ( member @ SY62 @ SV45 )
| ( member @ SY62 @ SV38 ) ) )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(320,plain,
! [SV54: $i,SV52: $i] :
( ( ( SV52 = SV54 )
= $false )
| ( ( subset @ SV52 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(321,plain,
! [SV55: $i,SV53: $i] :
( ( ( SV53 = SV55 )
= $false )
| ( ( subset @ SV55 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(322,plain,
! [SV56: $i,SV34: $i,SV59: $i] :
( ( ( ~ ( member @ SV59 @ ( difference @ SV34 @ SV56 ) ) )
= $true )
| ( ( member @ SV59 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(323,plain,
! [SV57: $i,SV34: $i,SV60: $i] :
( ( ( ~ ( member @ SV60 @ ( difference @ SV34 @ SV57 ) ) )
= $true )
| ( ( ~ ( member @ SV60 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(324,plain,
! [SV42: $i,SV48: $i] :
( ( ( member @ ( sK5_D @ SV48 @ SV42 ) @ SV48 )
= $false )
| ( ( subset @ SV42 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(325,plain,
! [SV49: $i,SV43: $i,SV58: $i] :
( ( ( member @ SV58 @ SV43 )
= $false )
| ( ( member @ SV58 @ SV49 )
= $true )
| ( ( subset @ SV43 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(326,plain,
! [SV37: $i,SV44: $i] :
( ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
= $false )
| ( ( ~ ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 ) )
= $true )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(327,plain,
! [SV45: $i,SV38: $i,SV61: $i] :
( ( ( ~ ( member @ SV61 @ SV38 )
| ( member @ SV61 @ SV45 ) )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(328,plain,
! [SV38: $i,SV45: $i,SV62: $i] :
( ( ( ~ ( member @ SV62 @ SV45 )
| ( member @ SV62 @ SV38 ) )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(329,plain,
! [SV56: $i,SV34: $i,SV59: $i] :
( ( ( member @ SV59 @ ( difference @ SV34 @ SV56 ) )
= $false )
| ( ( member @ SV59 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV57: $i,SV34: $i,SV60: $i] :
( ( ( member @ SV60 @ ( difference @ SV34 @ SV57 ) )
= $false )
| ( ( ~ ( member @ SV60 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(331,plain,
! [SV37: $i,SV44: $i] :
( ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV44 )
= $false )
| ( ( member @ ( sK4_D @ SV44 @ SV37 ) @ SV37 )
= $false )
| ( ( SV37 = SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(332,plain,
! [SV45: $i,SV38: $i,SV61: $i] :
( ( ( ~ ( member @ SV61 @ SV38 ) )
= $true )
| ( ( member @ SV61 @ SV45 )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(333,plain,
! [SV38: $i,SV45: $i,SV62: $i] :
( ( ( ~ ( member @ SV62 @ SV45 ) )
= $true )
| ( ( member @ SV62 @ SV38 )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(334,plain,
! [SV34: $i,SV57: $i,SV60: $i] :
( ( ( member @ SV60 @ SV57 )
= $false )
| ( ( member @ SV60 @ ( difference @ SV34 @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(335,plain,
! [SV45: $i,SV38: $i,SV61: $i] :
( ( ( member @ SV61 @ SV38 )
= $false )
| ( ( member @ SV61 @ SV45 )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(336,plain,
! [SV38: $i,SV45: $i,SV62: $i] :
( ( ( member @ SV62 @ SV45 )
= $false )
| ( ( member @ SV62 @ SV38 )
= $true )
| ( ( SV38 = SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(337,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[203,336,335,334,331,329,325,324,321,320,317,313,312,309,306,291,285,251,243,230,211]) ).
thf(338,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[337,185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 18:20:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34
% 0.19/0.34 No.of.Axioms: 8
% 0.19/0.34
% 0.19/0.34 Length.of.Defs: 0
% 0.19/0.34
% 0.19/0.34 Contains.Choice.Funs: false
% 0.19/0.35 (rf:0,axioms:8,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:10,loop_count:0,foatp_calls:0,translation:fof_full)...................
% 0.19/0.55
% 0.19/0.55 ********************************
% 0.19/0.55 * All subproblems solved! *
% 0.19/0.55 ********************************
% 0.19/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,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:337,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.43/0.60
% 0.43/0.60 %**** Beginning of derivation protocol ****
% 0.43/0.60 % SZS output start CNFRefutation
% See solution above
% 0.43/0.60
% 0.43/0.60 %**** End of derivation protocol ****
% 0.43/0.60 %**** no. of clauses in derivation: 338 ****
% 0.43/0.60 %**** clause counter: 337 ****
% 0.43/0.60
% 0.43/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,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:337,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------