TSTP Solution File: SET618+3 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET618+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 : n014.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 03:03:33 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 161 ( 98 unt; 11 typ; 0 def)
% Number of atoms : 823 ( 309 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1456 ( 292 ~; 247 |; 18 &; 887 @)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 355 ( 0 ^ 355 !; 0 ?; 355 :)
% 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_C,type,
sK2_C: $i > $i ).
thf(tp_sK3_D,type,
sK3_D: $i > $i > $i ).
thf(tp_sK4_D,type,
sK4_D: $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_symmetric_difference,type,
symmetric_difference: $i > $i > $i ).
thf(tp_union,type,
union: $i > $i > $i ).
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] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
thf(4,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(5,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( symmetric_difference @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_symmetric_difference) ).
thf(6,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
thf(7,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
thf(8,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
thf(9,axiom,
! [B: $i] :
( ( difference @ B @ B )
= empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',self_difference_is_empty_set) ).
thf(10,axiom,
! [B: $i] :
( ( union @ B @ B )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotency_of_union) ).
thf(11,axiom,
! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
thf(12,conjecture,
! [B: $i] :
( ( symmetric_difference @ B @ B )
= empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th93) ).
thf(13,negated_conjecture,
( ( ! [B: $i] :
( ( symmetric_difference @ B @ B )
= empty_set ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ! [B: $i] :
( ( symmetric_difference @ B @ B )
= empty_set ) )
= $false ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [B: $i] :
( ( empty @ B )
<=> ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [B: $i] : ( subset @ B @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [B: $i,C: $i] :
( ( B = C )
<=> ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( symmetric_difference @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [B: $i] :
~ ( member @ B @ empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [B: $i] :
( ( difference @ B @ B )
= empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( ! [B: $i] :
( ( union @ B @ B )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(26,plain,
( ( ( symmetric_difference @ sK1_B @ sK1_B )
= empty_set )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(27,plain,
( ( ( ( symmetric_difference @ sK1_B @ sK1_B )
!= empty_set ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(28,plain,
( ( ! [B: $i] :
( ( member @ ( sK2_C @ B ) @ B )
| ( empty @ B ) )
& ! [B: $i] :
( ~ ( empty @ B )
| ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(29,plain,
( ( ! [B: $i,C: $i] :
( ( ( member @ ( sK3_D @ C @ B ) @ B )
& ~ ( member @ ( sK3_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)],[17]) ).
thf(30,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)],[18]) ).
thf(31,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)],[21]) ).
thf(32,plain,
( ( ! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( union @ ( difference @ B @ C ) @ ( difference @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [B: $i] :
( ( union @ B @ B )
= B ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(34,plain,
( ( ! [B: $i] :
( ( difference @ B @ B )
= empty_set ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(35,plain,
( ( ! [B: $i] :
~ ( member @ B @ empty_set ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,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)],[31]) ).
thf(37,plain,
( ( ! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(38,plain,
( ( ! [B: $i,C: $i] :
( ( symmetric_difference @ B @ C )
= ( symmetric_difference @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
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)],[30]) ).
thf(40,plain,
( ( ! [B: $i,C: $i] :
( ( ( member @ ( sK3_D @ C @ B ) @ B )
& ~ ( member @ ( sK3_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)],[29]) ).
thf(41,plain,
( ( ! [B: $i] : ( subset @ B @ B ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(42,plain,
( ( ! [B: $i] :
( ( member @ ( sK2_C @ B ) @ B )
| ( empty @ B ) )
& ! [B: $i] :
( ~ ( empty @ B )
| ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(43,plain,
( ( ( ( symmetric_difference @ sK1_B @ sK1_B )
!= empty_set ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
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,
( ( ~ ( ~ ! [SX0: $i] :
( ( member @ ( sK2_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(46,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)],[36]) ).
thf(47,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK3_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK3_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)],[40]) ).
thf(48,plain,
! [SV1: $i] :
( ( ! [SY21: $i] :
( ( symmetric_difference @ SV1 @ SY21 )
= ( union @ ( difference @ SV1 @ SY21 ) @ ( difference @ SY21 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( union @ SV2 @ SV2 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(50,plain,
! [SV3: $i] :
( ( ( difference @ SV3 @ SV3 )
= empty_set )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(51,plain,
! [SV4: $i] :
( ( ~ ( member @ SV4 @ empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(52,plain,
! [SV5: $i] :
( ( ! [SY22: $i] :
( ( union @ SV5 @ SY22 )
= ( union @ SY22 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(53,plain,
! [SV6: $i] :
( ( ! [SY23: $i] :
( ( symmetric_difference @ SV6 @ SY23 )
= ( symmetric_difference @ SY23 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(54,plain,
! [SV7: $i] :
( ( subset @ SV7 @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(55,plain,
( ( ( symmetric_difference @ sK1_B @ sK1_B )
= empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(56,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(57,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK2_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
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)],[46]) ).
thf(59,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK3_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK3_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(60,plain,
! [SV8: $i,SV1: $i] :
( ( ( symmetric_difference @ SV1 @ SV8 )
= ( union @ ( difference @ SV1 @ SV8 ) @ ( difference @ SV8 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(61,plain,
! [SV4: $i] :
( ( member @ SV4 @ empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV9: $i,SV5: $i] :
( ( ( union @ SV5 @ SV9 )
= ( union @ SV9 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(63,plain,
! [SV10: $i,SV6: $i] :
( ( ( symmetric_difference @ SV6 @ SV10 )
= ( symmetric_difference @ SV10 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(64,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)],[56]) ).
thf(65,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)],[56]) ).
thf(66,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK2_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(67,plain,
( ( ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(68,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(69,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(70,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK3_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK3_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(71,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(72,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)],[64]) ).
thf(73,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)],[65]) ).
thf(74,plain,
( ( ! [SX0: $i] :
( ( member @ ( sK2_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(75,plain,
( ( ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(77,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)],[69]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK3_D @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK3_D @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(79,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV11: $i] :
( ( ! [SY24: $i] :
( ~ ( ~ ( ~ ( member @ ( sK4_D @ SY24 @ SV11 ) @ SV11 )
| ~ ( member @ ( sK4_D @ SY24 @ SV11 ) @ SY24 ) )
| ~ ( ( member @ ( sK4_D @ SY24 @ SV11 ) @ SV11 )
| ( member @ ( sK4_D @ SY24 @ SV11 ) @ SY24 ) ) )
| ( SV11 = SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV12: $i] :
( ( ! [SY25: $i] :
( ( SV12 != SY25 )
| ~ ( ~ ! [SY26: $i] :
( ~ ( member @ SY26 @ SV12 )
| ( member @ SY26 @ SY25 ) )
| ~ ! [SY27: $i] :
( ~ ( member @ SY27 @ SY25 )
| ( member @ SY27 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV13: $i] :
( ( ( member @ ( sK2_C @ SV13 ) @ SV13 )
| ( empty @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV14: $i] :
( ( ~ ( empty @ SV14 )
| ! [SY28: $i] :
~ ( member @ SY28 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV15: $i] :
( ( ! [SY29: $i] :
( ~ ( subset @ SV15 @ SY29 )
| ~ ( subset @ SY29 @ SV15 )
| ( SV15 = SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(85,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)],[77]) ).
thf(86,plain,
! [SV16: $i] :
( ( ! [SY30: $i] :
( ~ ( ~ ( member @ ( sK3_D @ SY30 @ SV16 ) @ SV16 )
| ~ ~ ( member @ ( sK3_D @ SY30 @ SV16 ) @ SY30 ) )
| ( subset @ SV16 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV17: $i] :
( ( ! [SY31: $i] :
( ~ ( subset @ SV17 @ SY31 )
| ! [SY32: $i] :
( ~ ( member @ SY32 @ SV17 )
| ( member @ SY32 @ SY31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV11: $i,SV18: $i] :
( ( ~ ( ~ ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
| ~ ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) ) )
| ( SV11 = SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(89,plain,
! [SV19: $i,SV12: $i] :
( ( ( SV12 != SV19 )
| ~ ( ~ ! [SY33: $i] :
( ~ ( member @ SY33 @ SV12 )
| ( member @ SY33 @ SV19 ) )
| ~ ! [SY34: $i] :
( ~ ( member @ SY34 @ SV19 )
| ( member @ SY34 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV13: $i] :
( ( ( member @ ( sK2_C @ SV13 ) @ SV13 )
= $true )
| ( ( empty @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV14: $i] :
( ( ( ~ ( empty @ SV14 ) )
= $true )
| ( ( ! [SY28: $i] :
~ ( member @ SY28 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV20: $i,SV15: $i] :
( ( ~ ( subset @ SV15 @ SV20 )
| ~ ( subset @ SV20 @ SV15 )
| ( SV15 = SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(93,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(94,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(95,plain,
! [SV16: $i,SV21: $i] :
( ( ~ ( ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV16 )
| ~ ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV21 ) )
| ( subset @ SV16 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(96,plain,
! [SV22: $i,SV17: $i] :
( ( ~ ( subset @ SV17 @ SV22 )
| ! [SY35: $i] :
( ~ ( member @ SY35 @ SV17 )
| ( member @ SY35 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(97,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( ~ ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
| ~ ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) ) ) )
= $true )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(98,plain,
! [SV19: $i,SV12: $i] :
( ( ( ( SV12 != SV19 ) )
= $true )
| ( ( ~ ( ~ ! [SY33: $i] :
( ~ ( member @ SY33 @ SV12 )
| ( member @ SY33 @ SV19 ) )
| ~ ! [SY34: $i] :
( ~ ( member @ SY34 @ SV19 )
| ( member @ SY34 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV14: $i] :
( ( ( empty @ SV14 )
= $false )
| ( ( ! [SY28: $i] :
~ ( member @ SY28 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV20: $i,SV15: $i] :
( ( ( ~ ( subset @ SV15 @ SV20 )
| ~ ( subset @ SV20 @ SV15 ) )
= $true )
| ( ( SV15 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(101,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(102,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV16: $i,SV21: $i] :
( ( ( ~ ( ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV16 )
| ~ ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV21 ) ) )
= $true )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(104,plain,
! [SV22: $i,SV17: $i] :
( ( ( ~ ( subset @ SV17 @ SV22 ) )
= $true )
| ( ( ! [SY35: $i] :
( ~ ( member @ SY35 @ SV17 )
| ( member @ SY35 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(105,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
| ~ ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) ) )
= $false )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV19: $i,SV12: $i] :
( ( ( SV12 = SV19 )
= $false )
| ( ( ~ ( ~ ! [SY33: $i] :
( ~ ( member @ SY33 @ SV12 )
| ( member @ SY33 @ SV19 ) )
| ~ ! [SY34: $i] :
( ~ ( member @ SY34 @ SV19 )
| ( member @ SY34 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV14: $i,SV23: $i] :
( ( ( ~ ( member @ SV23 @ SV14 ) )
= $true )
| ( ( empty @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV20: $i,SV15: $i] :
( ( ( ~ ( subset @ SV15 @ SV20 ) )
= $true )
| ( ( ~ ( subset @ SV20 @ SV15 ) )
= $true )
| ( ( SV15 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(109,plain,
! [SV24: $i] :
( ( ! [SY36: $i] :
( ( SV24 != SY36 )
| ( subset @ SV24 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(110,plain,
! [SV25: $i] :
( ( ! [SY37: $i] :
( ( SV25 != SY37 )
| ( subset @ SY37 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV16: $i,SV21: $i] :
( ( ( ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV16 )
| ~ ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV21 ) )
= $false )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV22: $i,SV17: $i] :
( ( ( subset @ SV17 @ SV22 )
= $false )
| ( ( ! [SY35: $i] :
( ~ ( member @ SY35 @ SV17 )
| ( member @ SY35 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) ) )
= $false )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(114,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) ) )
= $false )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(115,plain,
! [SV19: $i,SV12: $i] :
( ( ( ~ ! [SY33: $i] :
( ~ ( member @ SY33 @ SV12 )
| ( member @ SY33 @ SV19 ) )
| ~ ! [SY34: $i] :
( ~ ( member @ SY34 @ SV19 )
| ( member @ SY34 @ SV12 ) ) )
= $false )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV14: $i,SV23: $i] :
( ( ( member @ SV23 @ SV14 )
= $false )
| ( ( empty @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV20: $i,SV15: $i] :
( ( ( subset @ SV15 @ SV20 )
= $false )
| ( ( ~ ( subset @ SV20 @ SV15 ) )
= $true )
| ( ( SV15 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV26: $i,SV24: $i] :
( ( ( SV24 != SV26 )
| ( subset @ SV24 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV27: $i,SV25: $i] :
( ( ( SV25 != SV27 )
| ( subset @ SV27 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV16: $i,SV21: $i] :
( ( ( ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV16 ) )
= $false )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(121,plain,
! [SV16: $i,SV21: $i] :
( ( ( ~ ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV21 ) )
= $false )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(122,plain,
! [SV22: $i,SV17: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV17 )
| ( member @ SV28 @ SV22 ) )
= $true )
| ( ( subset @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
= $true )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(124,plain,
! [SV11: $i,SV18: $i] :
( ( ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
| ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
= $true )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(125,plain,
! [SV19: $i,SV12: $i] :
( ( ( ~ ! [SY33: $i] :
( ~ ( member @ SY33 @ SV12 )
| ( member @ SY33 @ SV19 ) ) )
= $false )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(126,plain,
! [SV12: $i,SV19: $i] :
( ( ( ~ ! [SY34: $i] :
( ~ ( member @ SY34 @ SV19 )
| ( member @ SY34 @ SV12 ) ) )
= $false )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(127,plain,
! [SV15: $i,SV20: $i] :
( ( ( subset @ SV20 @ SV15 )
= $false )
| ( ( subset @ SV15 @ SV20 )
= $false )
| ( ( SV15 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV26: $i,SV24: $i] :
( ( ( ( SV24 != SV26 ) )
= $true )
| ( ( subset @ SV24 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(129,plain,
! [SV27: $i,SV25: $i] :
( ( ( ( SV25 != SV27 ) )
= $true )
| ( ( subset @ SV27 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV16: $i,SV21: $i] :
( ( ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV16 )
= $true )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(131,plain,
! [SV16: $i,SV21: $i] :
( ( ( ~ ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV21 ) )
= $true )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(132,plain,
! [SV22: $i,SV17: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV17 ) )
= $true )
| ( ( member @ SV28 @ SV22 )
= $true )
| ( ( subset @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV11: $i,SV18: $i] :
( ( ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 ) )
= $true )
| ( ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
= $true )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV11: $i,SV18: $i] :
( ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
= $true )
| ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 )
= $true )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV19: $i,SV12: $i] :
( ( ( ! [SY33: $i] :
( ~ ( member @ SY33 @ SV12 )
| ( member @ SY33 @ SV19 ) ) )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(136,plain,
! [SV12: $i,SV19: $i] :
( ( ( ! [SY34: $i] :
( ~ ( member @ SY34 @ SV19 )
| ( member @ SY34 @ SV12 ) ) )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(137,plain,
! [SV26: $i,SV24: $i] :
( ( ( SV24 = SV26 )
= $false )
| ( ( subset @ SV24 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(138,plain,
! [SV27: $i,SV25: $i] :
( ( ( SV25 = SV27 )
= $false )
| ( ( subset @ SV27 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(139,plain,
! [SV16: $i,SV21: $i] :
( ( ( member @ ( sK3_D @ SV21 @ SV16 ) @ SV21 )
= $false )
| ( ( subset @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(140,plain,
! [SV22: $i,SV17: $i,SV28: $i] :
( ( ( member @ SV28 @ SV17 )
= $false )
| ( ( member @ SV28 @ SV22 )
= $true )
| ( ( subset @ SV17 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(141,plain,
! [SV11: $i,SV18: $i] :
( ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
= $false )
| ( ( ~ ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 ) )
= $true )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV19: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV12 )
| ( member @ SV29 @ SV19 ) )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV12: $i,SV19: $i,SV30: $i] :
( ( ( ~ ( member @ SV30 @ SV19 )
| ( member @ SV30 @ SV12 ) )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(144,plain,
! [SV11: $i,SV18: $i] :
( ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV18 )
= $false )
| ( ( member @ ( sK4_D @ SV18 @ SV11 ) @ SV11 )
= $false )
| ( ( SV11 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(145,plain,
! [SV19: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV12 ) )
= $true )
| ( ( member @ SV29 @ SV19 )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(146,plain,
! [SV12: $i,SV19: $i,SV30: $i] :
( ( ( ~ ( member @ SV30 @ SV19 ) )
= $true )
| ( ( member @ SV30 @ SV12 )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(147,plain,
! [SV19: $i,SV12: $i,SV29: $i] :
( ( ( member @ SV29 @ SV12 )
= $false )
| ( ( member @ SV29 @ SV19 )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(148,plain,
! [SV12: $i,SV19: $i,SV30: $i] :
( ( ( member @ SV30 @ SV19 )
= $false )
| ( ( member @ SV30 @ SV12 )
= $true )
| ( ( SV12 = SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(149,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,148,147,144,140,139,138,137,134,130,127,116,90,63,62,61,60,55,54,50]) ).
thf(150,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 06:44:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 11
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.20/0.42
% 0.20/0.42 ********************************
% 0.20/0.42 * All subproblems solved! *
% 0.20/0.42 ********************************
% 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:149,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.43
% 0.20/0.43 %**** Beginning of derivation protocol ****
% 0.20/0.43 % SZS output start CNFRefutation
% See solution above
% 0.20/0.43
% 0.20/0.43 %**** End of derivation protocol ****
% 0.20/0.43 %**** no. of clauses in derivation: 150 ****
% 0.20/0.43 %**** clause counter: 149 ****
% 0.20/0.43
% 0.20/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:149,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------