TSTP Solution File: SET604+3 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET604+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 : n004.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 03:03:21 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 150 ( 100 unt; 8 typ; 0 def)
% Number of atoms : 739 ( 245 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1331 ( 273 ~; 213 |; 20 &; 813 @)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 365 ( 0 ^ 365 !; 0 ?; 365 :)
% 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_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] :
( ( 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 )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
thf(5,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(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] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).
thf(8,axiom,
! [B: $i] : ( subset @ empty_set @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_subset) ).
thf(9,conjecture,
! [B: $i] :
( ( difference @ empty_set @ B )
= empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_no_difference_with_empty_set) ).
thf(10,negated_conjecture,
( ( ! [B: $i] :
( ( difference @ empty_set @ B )
= empty_set ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [B: $i] :
( ( difference @ empty_set @ B )
= empty_set ) )
= $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] :
( ( subset @ 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,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( 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] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [B: $i] : ( subset @ empty_set @ B ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ( difference @ empty_set @ sK1_B )
= empty_set )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(21,plain,
( ( ( ( difference @ empty_set @ sK1_B )
!= empty_set ) )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(22,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)],[12]) ).
thf(23,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)],[14]) ).
thf(24,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(25,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)],[16]) ).
thf(26,plain,
( ( ! [B: $i,C: $i] :
( ( ( difference @ B @ C )
!= empty_set )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ( ( difference @ B @ C )
= empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(27,plain,
( ( ! [B: $i] : ( subset @ empty_set @ B ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(28,plain,
( ( ! [B: $i,C: $i] :
( ( ( difference @ B @ C )
!= empty_set )
| ( subset @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( subset @ B @ C )
| ( ( difference @ B @ C )
= empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(29,plain,
( ( ! [B: $i] :
~ ( member @ B @ empty_set ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(30,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)],[25]) ).
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(copy,[status(thm)],[24]) ).
thf(32,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)],[23]) ).
thf(33,plain,
( ( ! [B: $i] : ( subset @ B @ B ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [B: $i] :
( ( member @ ( sK2_C @ B ) @ B )
| ( empty @ B ) )
& ! [B: $i] :
( ~ ( empty @ B )
| ! [C: $i] :
~ ( member @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(35,plain,
( ( ( ( difference @ empty_set @ sK1_B )
!= empty_set ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(36,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( difference @ SX0 @ SX1 )
= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(37,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)],[34]) ).
thf(38,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)],[31]) ).
thf(39,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)],[30]) ).
thf(40,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)],[32]) ).
thf(41,plain,
! [SV1: $i] :
( ( subset @ empty_set @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(42,plain,
! [SV2: $i] :
( ( ~ ( member @ SV2 @ empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(43,plain,
! [SV3: $i] :
( ( subset @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(44,plain,
( ( ( difference @ empty_set @ sK1_B )
= empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(45,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( difference @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(46,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)],[37]) ).
thf(47,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)],[38]) ).
thf(48,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( member @ SY17 @ SV4 )
| ( member @ SY17 @ SY16 )
| ( member @ SY17 @ ( difference @ SV4 @ SY16 ) ) )
| ~ ~ ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) )
| ~ ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(49,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)],[40]) ).
thf(50,plain,
! [SV2: $i] :
( ( member @ SV2 @ empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(51,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( difference @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( ~ ! [SX0: $i] :
( ( member @ ( sK2_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ~ ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(55,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(56,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)],[47]) ).
thf(57,plain,
! [SV4: $i] :
( ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( member @ SY17 @ SV4 )
| ( member @ SY17 @ SY16 )
| ( member @ SY17 @ ( difference @ SV4 @ SY16 ) ) )
| ~ ~ ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) )
| ~ ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(58,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)],[49]) ).
thf(59,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(61,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( difference @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ( member @ ( sK2_C @ SX0 ) @ SX0 )
| ( empty @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(63,plain,
( ( ! [SX0: $i] :
( ~ ( empty @ SX0 )
| ! [SX1: $i] :
~ ( member @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(64,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(65,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)],[56]) ).
thf(66,plain,
! [SV4: $i] :
( ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( member @ SY17 @ SV4 )
| ( member @ SY17 @ SY16 )
| ( member @ SY17 @ ( difference @ SV4 @ SY16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(67,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) )
| ~ ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(68,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)],[58]) ).
thf(69,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV5: $i] :
( ( ! [SY22: $i] :
( ( ( difference @ SV5 @ SY22 )
!= empty_set )
| ( subset @ SV5 @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV6: $i] :
( ( ! [SY23: $i] :
( ~ ( subset @ SV6 @ SY23 )
| ( ( difference @ SV6 @ SY23 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV7: $i] :
( ( ( member @ ( sK2_C @ SV7 ) @ SV7 )
| ( empty @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV8: $i] :
( ( ~ ( empty @ SV8 )
| ! [SY24: $i] :
~ ( member @ SY24 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV9: $i] :
( ( ! [SY25: $i] :
( ~ ( subset @ SV9 @ SY25 )
| ~ ( subset @ SY25 @ SV9 )
| ( SV9 = SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(75,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)],[65]) ).
thf(76,plain,
! [SV4: $i] :
( ( ! [SY16: $i,SY17: $i] :
( ~ ( member @ SY17 @ SV4 )
| ( member @ SY17 @ SY16 )
| ( member @ SY17 @ ( difference @ SV4 @ SY16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(77,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) )
| ~ ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(78,plain,
! [SV10: $i] :
( ( ! [SY26: $i] :
( ~ ( ~ ( member @ ( sK3_D @ SY26 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK3_D @ SY26 @ SV10 ) @ SY26 ) )
| ( subset @ SV10 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV11: $i] :
( ( ! [SY27: $i] :
( ~ ( subset @ SV11 @ SY27 )
| ! [SY28: $i] :
( ~ ( member @ SY28 @ SV11 )
| ( member @ SY28 @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV12: $i,SV5: $i] :
( ( ( ( difference @ SV5 @ SV12 )
!= empty_set )
| ( subset @ SV5 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( subset @ SV6 @ SV13 )
| ( ( difference @ SV6 @ SV13 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV7: $i] :
( ( ( member @ ( sK2_C @ SV7 ) @ SV7 )
= $true )
| ( ( empty @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV8: $i] :
( ( ( ~ ( empty @ SV8 ) )
= $true )
| ( ( ! [SY24: $i] :
~ ( member @ SY24 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV14: $i,SV9: $i] :
( ( ~ ( subset @ SV9 @ SV14 )
| ~ ( subset @ SV14 @ SV9 )
| ( SV9 = SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(85,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(86,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(87,plain,
! [SV15: $i,SV4: $i] :
( ( ! [SY29: $i] :
( ~ ( member @ SY29 @ SV4 )
| ( member @ SY29 @ SV15 )
| ( member @ SY29 @ ( difference @ SV4 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV4: $i] :
( ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) )
| ~ ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV16 ) )
| ( subset @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV17: $i,SV11: $i] :
( ( ~ ( subset @ SV11 @ SV17 )
| ! [SY30: $i] :
( ~ ( member @ SY30 @ SV11 )
| ( member @ SY30 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV12: $i,SV5: $i] :
( ( ( ( ( difference @ SV5 @ SV12 )
!= empty_set ) )
= $true )
| ( ( subset @ SV5 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( subset @ SV6 @ SV13 ) )
= $true )
| ( ( ( difference @ SV6 @ SV13 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV8: $i] :
( ( ( empty @ SV8 )
= $false )
| ( ( ! [SY24: $i] :
~ ( member @ SY24 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV14: $i,SV9: $i] :
( ( ( ~ ( subset @ SV9 @ SV14 )
| ~ ( subset @ SV14 @ SV9 ) )
= $true )
| ( ( SV9 = SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(95,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(97,plain,
! [SV15: $i,SV4: $i,SV18: $i] :
( ( ~ ( member @ SV18 @ SV4 )
| ( member @ SV18 @ SV15 )
| ( member @ SV18 @ ( difference @ SV4 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV4: $i] :
( ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(99,plain,
! [SV4: $i] :
( ( ~ ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(100,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV16 ) ) )
= $true )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV17: $i,SV11: $i] :
( ( ( ~ ( subset @ SV11 @ SV17 ) )
= $true )
| ( ( ! [SY30: $i] :
( ~ ( member @ SY30 @ SV11 )
| ( member @ SY30 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV12: $i,SV5: $i] :
( ( ( ( difference @ SV5 @ SV12 )
= empty_set )
= $false )
| ( ( subset @ SV5 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV13: $i,SV6: $i] :
( ( ( subset @ SV6 @ SV13 )
= $false )
| ( ( ( difference @ SV6 @ SV13 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV8: $i,SV19: $i] :
( ( ( ~ ( member @ SV19 @ SV8 ) )
= $true )
| ( ( empty @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV14: $i,SV9: $i] :
( ( ( ~ ( subset @ SV9 @ SV14 ) )
= $true )
| ( ( ~ ( subset @ SV14 @ SV9 ) )
= $true )
| ( ( SV9 = SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV20: $i] :
( ( ! [SY31: $i] :
( ( SV20 != SY31 )
| ( subset @ SV20 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(107,plain,
! [SV21: $i] :
( ( ! [SY32: $i] :
( ( SV21 != SY32 )
| ( subset @ SY32 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV15: $i,SV4: $i,SV18: $i] :
( ( ( ~ ( member @ SV18 @ SV4 )
| ( member @ SV18 @ SV15 ) )
= $true )
| ( ( member @ SV18 @ ( difference @ SV4 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV4: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ~ ( member @ SY19 @ ( difference @ SV4 @ SY18 ) )
| ( member @ SY19 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(110,plain,
! [SV4: $i] :
( ( ! [SY20: $i,SY21: $i] :
( ~ ( member @ SY21 @ ( difference @ SV4 @ SY20 ) )
| ~ ( member @ SY21 @ SY20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(111,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV10 )
| ~ ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV16 ) )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV17: $i,SV11: $i] :
( ( ( subset @ SV11 @ SV17 )
= $false )
| ( ( ! [SY30: $i] :
( ~ ( member @ SY30 @ SV11 )
| ( member @ SY30 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV8: $i,SV19: $i] :
( ( ( member @ SV19 @ SV8 )
= $false )
| ( ( empty @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV14: $i,SV9: $i] :
( ( ( subset @ SV9 @ SV14 )
= $false )
| ( ( ~ ( subset @ SV14 @ SV9 ) )
= $true )
| ( ( SV9 = SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV22: $i,SV20: $i] :
( ( ( SV20 != SV22 )
| ( subset @ SV20 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV23: $i,SV21: $i] :
( ( ( SV21 != SV23 )
| ( subset @ SV23 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV15: $i,SV4: $i,SV18: $i] :
( ( ( ~ ( member @ SV18 @ SV4 ) )
= $true )
| ( ( member @ SV18 @ SV15 )
= $true )
| ( ( member @ SV18 @ ( difference @ SV4 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV24: $i,SV4: $i] :
( ( ! [SY33: $i] :
( ~ ( member @ SY33 @ ( difference @ SV4 @ SV24 ) )
| ( member @ SY33 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(119,plain,
! [SV25: $i,SV4: $i] :
( ( ! [SY34: $i] :
( ~ ( member @ SY34 @ ( difference @ SV4 @ SV25 ) )
| ~ ( member @ SY34 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV10 ) )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(121,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV16 ) )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(122,plain,
! [SV17: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( member @ SV26 @ SV11 )
| ( member @ SV26 @ SV17 ) )
= $true )
| ( ( subset @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(123,plain,
! [SV9: $i,SV14: $i] :
( ( ( subset @ SV14 @ SV9 )
= $false )
| ( ( subset @ SV9 @ SV14 )
= $false )
| ( ( SV9 = SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV22: $i,SV20: $i] :
( ( ( ( SV20 != SV22 ) )
= $true )
| ( ( subset @ SV20 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV23: $i,SV21: $i] :
( ( ( ( SV21 != SV23 ) )
= $true )
| ( ( subset @ SV23 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(126,plain,
! [SV15: $i,SV4: $i,SV18: $i] :
( ( ( member @ SV18 @ SV4 )
= $false )
| ( ( member @ SV18 @ SV15 )
= $true )
| ( ( member @ SV18 @ ( difference @ SV4 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(127,plain,
! [SV24: $i,SV4: $i,SV27: $i] :
( ( ~ ( member @ SV27 @ ( difference @ SV4 @ SV24 ) )
| ( member @ SV27 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(128,plain,
! [SV25: $i,SV4: $i,SV28: $i] :
( ( ~ ( member @ SV28 @ ( difference @ SV4 @ SV25 ) )
| ~ ( member @ SV28 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV10: $i,SV16: $i] :
( ( ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV10 )
= $true )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(130,plain,
! [SV10: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV16 ) )
= $true )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(131,plain,
! [SV17: $i,SV11: $i,SV26: $i] :
( ( ( ~ ( member @ SV26 @ SV11 ) )
= $true )
| ( ( member @ SV26 @ SV17 )
= $true )
| ( ( subset @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(132,plain,
! [SV22: $i,SV20: $i] :
( ( ( SV20 = SV22 )
= $false )
| ( ( subset @ SV20 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(133,plain,
! [SV23: $i,SV21: $i] :
( ( ( SV21 = SV23 )
= $false )
| ( ( subset @ SV23 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(134,plain,
! [SV24: $i,SV4: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ ( difference @ SV4 @ SV24 ) ) )
= $true )
| ( ( member @ SV27 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV25: $i,SV4: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ ( difference @ SV4 @ SV25 ) ) )
= $true )
| ( ( ~ ( member @ SV28 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV10: $i,SV16: $i] :
( ( ( member @ ( sK3_D @ SV16 @ SV10 ) @ SV16 )
= $false )
| ( ( subset @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV17: $i,SV11: $i,SV26: $i] :
( ( ( member @ SV26 @ SV11 )
= $false )
| ( ( member @ SV26 @ SV17 )
= $true )
| ( ( subset @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(138,plain,
! [SV24: $i,SV4: $i,SV27: $i] :
( ( ( member @ SV27 @ ( difference @ SV4 @ SV24 ) )
= $false )
| ( ( member @ SV27 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(139,plain,
! [SV25: $i,SV4: $i,SV28: $i] :
( ( ( member @ SV28 @ ( difference @ SV4 @ SV25 ) )
= $false )
| ( ( ~ ( member @ SV28 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(140,plain,
! [SV4: $i,SV25: $i,SV28: $i] :
( ( ( member @ SV28 @ SV25 )
= $false )
| ( ( member @ SV28 @ ( difference @ SV4 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(141,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[41,140,138,137,136,133,132,129,126,123,113,103,102,82,50,44,43]) ).
thf(142,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n004.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 14:04:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 8
% 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: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).........
% 0.21/0.42
% 0.21/0.42 ********************************
% 0.21/0.42 * All subproblems solved! *
% 0.21/0.42 ********************************
% 0.21/0.42 % 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:141,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.43
% 0.21/0.43 %**** Beginning of derivation protocol ****
% 0.21/0.43 % SZS output start CNFRefutation
% See solution above
% 0.21/0.43
% 0.21/0.43 %**** End of derivation protocol ****
% 0.21/0.43 %**** no. of clauses in derivation: 142 ****
% 0.21/0.43 %**** clause counter: 141 ****
% 0.21/0.43
% 0.21/0.43 % 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:141,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------