TSTP Solution File: SEU186+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:07:46 EDT 2022
% Result : Theorem 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 43
% Syntax : Number of formulae : 208 ( 146 unt; 17 typ; 0 def)
% Number of atoms : 757 ( 266 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 948 ( 183 ~; 117 |; 23 &; 605 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 265 ( 0 ^ 255 !; 10 ?; 265 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_element,type,
element: $i > $i > $o ).
thf(tp_empty,type,
empty: $i > $o ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_ordered_pair,type,
ordered_pair: $i > $i > $i ).
thf(tp_relation,type,
relation: $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_A,type,
sK2_A: $i ).
thf(tp_sK3_A,type,
sK3_A: $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_B,type,
sK6_B: $i > $i ).
thf(tp_sK7_C,type,
sK7_C: $i > $i > $i ).
thf(tp_sK8_SY36,type,
sK8_SY36: $i > $i > $i ).
thf(tp_sK9_B,type,
sK9_B: $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(1,axiom,
! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
thf(6,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(7,axiom,
? [A: $i] :
( ~ ( empty @ A )
& ( relation @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(8,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(9,axiom,
? [A: $i] :
( ( empty @ A )
& ( relation @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(10,axiom,
( ( empty @ empty_set )
& ( relation @ empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(11,axiom,
! [A: $i,B: $i] :
~ ( empty @ ( unordered_pair @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_subset_1) ).
thf(12,axiom,
! [A: $i] :
~ ( empty @ ( singleton @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
thf(13,axiom,
! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
thf(14,axiom,
empty @ empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(15,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(16,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(17,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tarski) ).
thf(18,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_tarski) ).
thf(19,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(20,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tarski) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
thf(22,axiom,
! [A: $i] :
( ( relation @ A )
<=> ! [B: $i] :
~ ( ( in @ B @ A )
& ! [C: $i,D: $i] :
( B
!= ( ordered_pair @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
thf(24,axiom,
! [A: $i] :
( ( empty @ A )
=> ( relation @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(26,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ! [B: $i,C: $i] :
~ ( in @ ( ordered_pair @ B @ C ) @ A )
=> ( A = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relat_1) ).
thf(27,negated_conjecture,
( ( ! [A: $i] :
( ( relation @ A )
=> ( ! [B: $i,C: $i] :
~ ( in @ ( ordered_pair @ B @ C ) @ A )
=> ( A = empty_set ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,plain,
( ( ! [A: $i] :
( ( relation @ A )
=> ( ! [B: $i,C: $i] :
~ ( in @ ( ordered_pair @ B @ C ) @ A )
=> ( A = empty_set ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[27]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(31,plain,
( ( ! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(34,plain,
( ( ? [A: $i] :
~ ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(35,plain,
( ( ? [A: $i] :
( ~ ( empty @ A )
& ( relation @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(36,plain,
( ( ? [A: $i] : ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(37,plain,
( ( ? [A: $i] :
( ( empty @ A )
& ( relation @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(38,plain,
( ( ( empty @ empty_set )
& ( relation @ empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( unordered_pair @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(40,plain,
( ( ! [A: $i] :
~ ( empty @ ( singleton @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(42,plain,
( ( empty @ empty_set )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(43,plain,
( ( ! [A: $i] :
? [B: $i] : ( element @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(44,plain,
$true = $true,
inference(unfold_def,[status(thm)],[16]) ).
thf(45,plain,
$true = $true,
inference(unfold_def,[status(thm)],[17]) ).
thf(46,plain,
$true = $true,
inference(unfold_def,[status(thm)],[18]) ).
thf(47,plain,
$true = $true,
inference(unfold_def,[status(thm)],[19]) ).
thf(48,plain,
$true = $true,
inference(unfold_def,[status(thm)],[20]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(50,plain,
( ( ! [A: $i] :
( ( relation @ A )
<=> ! [B: $i] :
~ ( ( in @ B @ A )
& ! [C: $i,D: $i] :
( B
!= ( ordered_pair @ C @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(52,plain,
( ( ! [A: $i] :
( ( empty @ A )
=> ( relation @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(54,plain,
( ( ( relation @ sK1_A )
=> ( ! [SY34: $i,SY35: $i] :
~ ( in @ ( ordered_pair @ SY34 @ SY35 ) @ sK1_A )
=> ( sK1_A = empty_set ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[28]) ).
thf(55,plain,
( ( relation @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[54]) ).
thf(56,plain,
( ( ! [SY34: $i,SY35: $i] :
~ ( in @ ( ordered_pair @ SY34 @ SY35 ) @ sK1_A ) )
= $true ),
inference(standard_cnf,[status(thm)],[54]) ).
thf(57,plain,
( ( sK1_A = empty_set )
= $false ),
inference(standard_cnf,[status(thm)],[54]) ).
thf(58,plain,
( ( ( sK1_A != empty_set ) )
= $true ),
inference(polarity_switch,[status(thm)],[57]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(61,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ A @ B )
| ( empty @ B )
| ( in @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(63,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ( element @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(64,plain,
( ( ~ ( empty @ sK2_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(65,plain,
( ( ~ ( empty @ sK3_A )
& ( relation @ sK3_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(66,plain,
( ( empty @ sK4_A )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(67,plain,
( ( ( empty @ sK5_A )
& ( relation @ sK5_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(68,plain,
( ( ! [A: $i] : ( element @ ( sK6_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(69,plain,
( ( ! [A: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ( sK9_B @ A )
!= ( ordered_pair @ SY37 @ SY38 ) )
& ( in @ ( sK9_B @ A ) @ A ) )
| ( relation @ A ) )
& ! [A: $i] :
( ~ ( relation @ A )
| ! [B: $i] :
( ( B
= ( ordered_pair @ ( sK7_C @ B @ A ) @ ( sK8_SY36 @ B @ A ) ) )
| ~ ( in @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(70,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( relation @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(73,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( relation @ A ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(75,plain,
( ( ! [A: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ( sK9_B @ A )
!= ( ordered_pair @ SY37 @ SY38 ) )
& ( in @ ( sK9_B @ A ) @ A ) )
| ( relation @ A ) )
& ! [A: $i] :
( ~ ( relation @ A )
| ! [B: $i] :
( ( B
= ( ordered_pair @ ( sK7_C @ B @ A ) @ ( sK8_SY36 @ B @ A ) ) )
| ~ ( in @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(77,plain,
$true = $true,
inference(copy,[status(thm)],[48]) ).
thf(78,plain,
$true = $true,
inference(copy,[status(thm)],[47]) ).
thf(79,plain,
$true = $true,
inference(copy,[status(thm)],[46]) ).
thf(80,plain,
$true = $true,
inference(copy,[status(thm)],[45]) ).
thf(81,plain,
$true = $true,
inference(copy,[status(thm)],[44]) ).
thf(82,plain,
( ( ! [A: $i] : ( element @ ( sK6_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(83,plain,
( ( empty @ empty_set )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(85,plain,
( ( ! [A: $i] :
~ ( empty @ ( singleton @ A ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( unordered_pair @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(87,plain,
( ( ( empty @ empty_set )
& ( relation @ empty_set ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(88,plain,
( ( ( empty @ sK5_A )
& ( relation @ sK5_A ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(89,plain,
( ( empty @ sK4_A )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(90,plain,
( ( ~ ( empty @ sK3_A )
& ( relation @ sK3_A ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(91,plain,
( ( ~ ( empty @ sK2_A ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ( element @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ A @ B )
| ( empty @ B )
| ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(94,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(95,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(96,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(97,plain,
( ( ! [SY34: $i,SY35: $i] :
~ ( in @ ( ordered_pair @ SY34 @ SY35 ) @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(98,plain,
( ( relation @ sK1_A )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(99,plain,
( ( ( sK1_A != empty_set ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(100,plain,
( ( ~ ( ~ ( empty @ sK5_A )
| ~ ( relation @ sK5_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(101,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( sK9_B @ SX0 )
!= ( ordered_pair @ SX1 @ SX2 ) )
| ~ ( in @ ( sK9_B @ SX0 ) @ SX0 ) )
| ( relation @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( relation @ SX0 )
| ! [SX1: $i] :
( ( SX1
= ( ordered_pair @ ( sK7_C @ SX1 @ SX0 ) @ ( sK8_SY36 @ SX1 @ SX0 ) ) )
| ~ ( in @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(102,plain,
( ( ~ ( ~ ( empty @ empty_set )
| ~ ( relation @ empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(103,plain,
( ( ~ ( ~ ~ ( empty @ sK3_A )
| ~ ( relation @ sK3_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(104,plain,
! [SV1: $i] :
( ( ! [SY39: $i] :
( ~ ( in @ SV1 @ SY39 )
| ~ ( in @ SY39 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(105,plain,
! [SV2: $i] :
( ( ~ ( empty @ SV2 )
| ( relation @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(106,plain,
! [SV3: $i] :
( ( ! [SY40: $i] :
( ( unordered_pair @ SV3 @ SY40 )
= ( unordered_pair @ SY40 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(107,plain,
! [SV4: $i] :
( ( ! [SY41: $i] :
( ( ordered_pair @ SV4 @ SY41 )
= ( unordered_pair @ ( unordered_pair @ SV4 @ SY41 ) @ ( singleton @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(108,plain,
! [SV5: $i] :
( ( element @ ( sK6_B @ SV5 ) @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(109,plain,
! [SV6: $i] :
( ( ! [SY42: $i] :
~ ( empty @ ( ordered_pair @ SV6 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(110,plain,
! [SV7: $i] :
( ( ~ ( empty @ ( singleton @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(111,plain,
! [SV8: $i] :
( ( ! [SY43: $i] :
~ ( empty @ ( unordered_pair @ SV8 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(112,plain,
( ( empty @ sK2_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(113,plain,
! [SV9: $i] :
( ( ! [SY44: $i] :
( ~ ( in @ SV9 @ SY44 )
| ( element @ SV9 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(114,plain,
! [SV10: $i] :
( ( ! [SY45: $i] :
( ~ ( element @ SV10 @ SY45 )
| ( empty @ SY45 )
| ( in @ SV10 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(115,plain,
! [SV11: $i] :
( ( ~ ( empty @ SV11 )
| ( SV11 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(116,plain,
! [SV12: $i] :
( ( ! [SY46: $i] :
( ~ ( empty @ SY46 )
| ~ ( in @ SV12 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(117,plain,
! [SV13: $i] :
( ( ! [SY47: $i] :
( ( SV13 = SY47 )
| ~ ( empty @ SV13 )
| ~ ( empty @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(118,plain,
! [SV14: $i] :
( ( ! [SY48: $i] :
~ ( in @ ( ordered_pair @ SV14 @ SY48 ) @ sK1_A ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(119,plain,
( ( sK1_A = empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(120,plain,
( ( ~ ( empty @ sK5_A )
| ~ ( relation @ sK5_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(121,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( sK9_B @ SX0 )
!= ( ordered_pair @ SX1 @ SX2 ) )
| ~ ( in @ ( sK9_B @ SX0 ) @ SX0 ) )
| ( relation @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( relation @ SX0 )
| ! [SX1: $i] :
( ( SX1
= ( ordered_pair @ ( sK7_C @ SX1 @ SX0 ) @ ( sK8_SY36 @ SX1 @ SX0 ) ) )
| ~ ( in @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(122,plain,
( ( ~ ( empty @ empty_set )
| ~ ( relation @ empty_set ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(123,plain,
( ( ~ ~ ( empty @ sK3_A )
| ~ ( relation @ sK3_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(124,plain,
! [SV15: $i,SV1: $i] :
( ( ~ ( in @ SV1 @ SV15 )
| ~ ( in @ SV15 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(125,plain,
! [SV2: $i] :
( ( ( ~ ( empty @ SV2 ) )
= $true )
| ( ( relation @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV16: $i,SV3: $i] :
( ( ( unordered_pair @ SV3 @ SV16 )
= ( unordered_pair @ SV16 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(127,plain,
! [SV17: $i,SV4: $i] :
( ( ( ordered_pair @ SV4 @ SV17 )
= ( unordered_pair @ ( unordered_pair @ SV4 @ SV17 ) @ ( singleton @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV18: $i,SV6: $i] :
( ( ~ ( empty @ ( ordered_pair @ SV6 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(129,plain,
! [SV7: $i] :
( ( empty @ ( singleton @ SV7 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV19: $i,SV8: $i] :
( ( ~ ( empty @ ( unordered_pair @ SV8 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(131,plain,
! [SV20: $i,SV9: $i] :
( ( ~ ( in @ SV9 @ SV20 )
| ( element @ SV9 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(132,plain,
! [SV21: $i,SV10: $i] :
( ( ~ ( element @ SV10 @ SV21 )
| ( empty @ SV21 )
| ( in @ SV10 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(133,plain,
! [SV11: $i] :
( ( ( ~ ( empty @ SV11 ) )
= $true )
| ( ( SV11 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(134,plain,
! [SV12: $i,SV22: $i] :
( ( ~ ( empty @ SV22 )
| ~ ( in @ SV12 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(135,plain,
! [SV23: $i,SV13: $i] :
( ( ( SV13 = SV23 )
| ~ ( empty @ SV13 )
| ~ ( empty @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(136,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ( in @ ( ordered_pair @ SV14 @ SV24 ) @ sK1_A ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(137,plain,
( ( ~ ( empty @ sK5_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(138,plain,
( ( ~ ( relation @ sK5_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(139,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( sK9_B @ SX0 )
!= ( ordered_pair @ SX1 @ SX2 ) )
| ~ ( in @ ( sK9_B @ SX0 ) @ SX0 ) )
| ( relation @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(140,plain,
( ( ~ ! [SX0: $i] :
( ~ ( relation @ SX0 )
| ! [SX1: $i] :
( ( SX1
= ( ordered_pair @ ( sK7_C @ SX1 @ SX0 ) @ ( sK8_SY36 @ SX1 @ SX0 ) ) )
| ~ ( in @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(141,plain,
( ( ~ ( empty @ empty_set ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(142,plain,
( ( ~ ( relation @ empty_set ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(143,plain,
( ( ~ ~ ( empty @ sK3_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(144,plain,
( ( ~ ( relation @ sK3_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(145,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( in @ SV1 @ SV15 ) )
= $true )
| ( ( ~ ( in @ SV15 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV2: $i] :
( ( ( empty @ SV2 )
= $false )
| ( ( relation @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV18: $i,SV6: $i] :
( ( empty @ ( ordered_pair @ SV6 @ SV18 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(148,plain,
! [SV19: $i,SV8: $i] :
( ( empty @ ( unordered_pair @ SV8 @ SV19 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(149,plain,
! [SV20: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ SV20 ) )
= $true )
| ( ( element @ SV9 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(150,plain,
! [SV21: $i,SV10: $i] :
( ( ( ~ ( element @ SV10 @ SV21 ) )
= $true )
| ( ( ( empty @ SV21 )
| ( in @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(151,plain,
! [SV11: $i] :
( ( ( empty @ SV11 )
= $false )
| ( ( SV11 = empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(152,plain,
! [SV12: $i,SV22: $i] :
( ( ( ~ ( empty @ SV22 ) )
= $true )
| ( ( ~ ( in @ SV12 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(153,plain,
! [SV23: $i,SV13: $i] :
( ( ( ( SV13 = SV23 )
| ~ ( empty @ SV13 ) )
= $true )
| ( ( ~ ( empty @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(154,plain,
! [SV24: $i,SV14: $i] :
( ( in @ ( ordered_pair @ SV14 @ SV24 ) @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(155,plain,
( ( empty @ sK5_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(156,plain,
( ( relation @ sK5_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(157,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( sK9_B @ SX0 )
!= ( ordered_pair @ SX1 @ SX2 ) )
| ~ ( in @ ( sK9_B @ SX0 ) @ SX0 ) )
| ( relation @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(158,plain,
( ( ! [SX0: $i] :
( ~ ( relation @ SX0 )
| ! [SX1: $i] :
( ( SX1
= ( ordered_pair @ ( sK7_C @ SX1 @ SX0 ) @ ( sK8_SY36 @ SX1 @ SX0 ) ) )
| ~ ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(159,plain,
( ( empty @ empty_set )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(160,plain,
( ( relation @ empty_set )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(161,plain,
( ( ~ ( empty @ sK3_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(162,plain,
( ( relation @ sK3_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(163,plain,
! [SV15: $i,SV1: $i] :
( ( ( in @ SV1 @ SV15 )
= $false )
| ( ( ~ ( in @ SV15 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(164,plain,
! [SV20: $i,SV9: $i] :
( ( ( in @ SV9 @ SV20 )
= $false )
| ( ( element @ SV9 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(165,plain,
! [SV21: $i,SV10: $i] :
( ( ( element @ SV10 @ SV21 )
= $false )
| ( ( ( empty @ SV21 )
| ( in @ SV10 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(166,plain,
! [SV12: $i,SV22: $i] :
( ( ( empty @ SV22 )
= $false )
| ( ( ~ ( in @ SV12 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(167,plain,
! [SV23: $i,SV13: $i] :
( ( ( SV13 = SV23 )
= $true )
| ( ( ~ ( empty @ SV13 ) )
= $true )
| ( ( ~ ( empty @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(168,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY49: $i,SY50: $i] :
( ( sK9_B @ SV25 )
!= ( ordered_pair @ SY49 @ SY50 ) )
| ~ ( in @ ( sK9_B @ SV25 ) @ SV25 ) )
| ( relation @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV26: $i] :
( ( ~ ( relation @ SV26 )
| ! [SY51: $i] :
( ( SY51
= ( ordered_pair @ ( sK7_C @ SY51 @ SV26 ) @ ( sK8_SY36 @ SY51 @ SV26 ) ) )
| ~ ( in @ SY51 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(170,plain,
( ( empty @ sK3_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(171,plain,
! [SV1: $i,SV15: $i] :
( ( ( in @ SV15 @ SV1 )
= $false )
| ( ( in @ SV1 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(172,plain,
! [SV10: $i,SV21: $i] :
( ( ( empty @ SV21 )
= $true )
| ( ( in @ SV10 @ SV21 )
= $true )
| ( ( element @ SV10 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(173,plain,
! [SV22: $i,SV12: $i] :
( ( ( in @ SV12 @ SV22 )
= $false )
| ( ( empty @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(174,plain,
! [SV23: $i,SV13: $i] :
( ( ( empty @ SV13 )
= $false )
| ( ( SV13 = SV23 )
= $true )
| ( ( ~ ( empty @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(175,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ! [SY49: $i,SY50: $i] :
( ( sK9_B @ SV25 )
!= ( ordered_pair @ SY49 @ SY50 ) )
| ~ ( in @ ( sK9_B @ SV25 ) @ SV25 ) ) )
= $true )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV26: $i] :
( ( ( ~ ( relation @ SV26 ) )
= $true )
| ( ( ! [SY51: $i] :
( ( SY51
= ( ordered_pair @ ( sK7_C @ SY51 @ SV26 ) @ ( sK8_SY36 @ SY51 @ SV26 ) ) )
| ~ ( in @ SY51 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV13: $i,SV23: $i] :
( ( ( empty @ SV23 )
= $false )
| ( ( SV13 = SV23 )
= $true )
| ( ( empty @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(178,plain,
! [SV25: $i] :
( ( ( ~ ! [SY49: $i,SY50: $i] :
( ( sK9_B @ SV25 )
!= ( ordered_pair @ SY49 @ SY50 ) )
| ~ ( in @ ( sK9_B @ SV25 ) @ SV25 ) )
= $false )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(179,plain,
! [SV26: $i] :
( ( ( relation @ SV26 )
= $false )
| ( ( ! [SY51: $i] :
( ( SY51
= ( ordered_pair @ ( sK7_C @ SY51 @ SV26 ) @ ( sK8_SY36 @ SY51 @ SV26 ) ) )
| ~ ( in @ SY51 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(180,plain,
! [SV25: $i] :
( ( ( ~ ! [SY49: $i,SY50: $i] :
( ( sK9_B @ SV25 )
!= ( ordered_pair @ SY49 @ SY50 ) ) )
= $false )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(181,plain,
! [SV25: $i] :
( ( ( ~ ( in @ ( sK9_B @ SV25 ) @ SV25 ) )
= $false )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(182,plain,
! [SV26: $i,SV27: $i] :
( ( ( ( SV27
= ( ordered_pair @ ( sK7_C @ SV27 @ SV26 ) @ ( sK8_SY36 @ SV27 @ SV26 ) ) )
| ~ ( in @ SV27 @ SV26 ) )
= $true )
| ( ( relation @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV25: $i] :
( ( ( ! [SY49: $i,SY50: $i] :
( ( sK9_B @ SV25 )
!= ( ordered_pair @ SY49 @ SY50 ) ) )
= $true )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(184,plain,
! [SV25: $i] :
( ( ( in @ ( sK9_B @ SV25 ) @ SV25 )
= $true )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(185,plain,
! [SV26: $i,SV27: $i] :
( ( ( SV27
= ( ordered_pair @ ( sK7_C @ SV27 @ SV26 ) @ ( sK8_SY36 @ SV27 @ SV26 ) ) )
= $true )
| ( ( ~ ( in @ SV27 @ SV26 ) )
= $true )
| ( ( relation @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(186,plain,
! [SV28: $i,SV25: $i] :
( ( ( ! [SY52: $i] :
( ( sK9_B @ SV25 )
!= ( ordered_pair @ SV28 @ SY52 ) ) )
= $true )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(187,plain,
! [SV26: $i,SV27: $i] :
( ( ( in @ SV27 @ SV26 )
= $false )
| ( ( SV27
= ( ordered_pair @ ( sK7_C @ SV27 @ SV26 ) @ ( sK8_SY36 @ SV27 @ SV26 ) ) )
= $true )
| ( ( relation @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(188,plain,
! [SV29: $i,SV28: $i,SV25: $i] :
( ( ( ( ( sK9_B @ SV25 )
!= ( ordered_pair @ SV28 @ SV29 ) ) )
= $true )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV29: $i,SV28: $i,SV25: $i] :
( ( ( ( sK9_B @ SV25 )
= ( ordered_pair @ SV28 @ SV29 ) )
= $false )
| ( ( relation @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(190,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[77,189,187,184,177,173,172,171,170,164,162,160,159,156,155,154,151,148,147,146,129,127,126,119,112,108,98,89,83,81,80,79,78]) ).
thf(191,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jun 19 15:14:32 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.31
% 0.15/0.31 No.of.Axioms: 25
% 0.15/0.31
% 0.15/0.31 Length.of.Defs: 0
% 0.15/0.31
% 0.15/0.31 Contains.Choice.Funs: false
% 0.15/0.32 (rf:0,axioms:25,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:27,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.15/0.39
% 0.15/0.39 ********************************
% 0.15/0.39 * All subproblems solved! *
% 0.15/0.39 ********************************
% 0.15/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:27,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:190,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.15/0.40
% 0.15/0.40 %**** Beginning of derivation protocol ****
% 0.15/0.40 % SZS output start CNFRefutation
% See solution above
% 0.15/0.40
% 0.15/0.40 %**** End of derivation protocol ****
% 0.15/0.40 %**** no. of clauses in derivation: 191 ****
% 0.15/0.40 %**** clause counter: 190 ****
% 0.15/0.40
% 0.15/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:27,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:190,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------