TSTP Solution File: SEU125+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU125+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 : n026.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 12:06:51 EDT 2022
% Result : Theorem 49.69s 49.90s
% Output : CNFRefutation 49.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 30
% Syntax : Number of formulae : 198 ( 106 unt; 12 typ; 0 def)
% Number of atoms : 1104 ( 352 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 2327 ( 416 ~; 350 |; 26 &;1513 @)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 452 ( 0 ^ 448 !; 4 ?; 452 :)
% Comments :
%------------------------------------------------------------------------------
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_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY30,type,
sK2_SY30: $i ).
thf(tp_sK3_SY32,type,
sK3_SY32: $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_C,type,
sK6_C: $i > $i > $i ).
thf(tp_sK7_D,type,
sK7_D: $i > $i > $i > $i ).
thf(tp_set_union2,type,
set_union2: $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
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] :
( ( set_union2 @ A @ empty_set )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
thf(5,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(6,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(7,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
thf(11,axiom,
empty @ empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(12,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_xboole_0) ).
thf(13,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(18,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ B ) )
=> ( subset @ ( set_union2 @ A @ C ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
thf(19,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ B ) )
=> ( subset @ ( set_union2 @ A @ C ) @ B ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[18]) ).
thf(20,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ B ) )
=> ( subset @ ( set_union2 @ A @ C ) @ B ) ) )
= $false ),
inference(unfold_def,[status(thm)],[19]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ empty_set )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] : ( subset @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ? [A: $i] :
~ ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ? [A: $i] : ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( empty @ empty_set )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
$true = $true,
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
$true = $true,
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(38,plain,
( ( ! [SY30: $i,SY31: $i] :
( ( ( subset @ sK1_A @ SY30 )
& ( subset @ SY31 @ SY30 ) )
=> ( subset @ ( set_union2 @ sK1_A @ SY31 ) @ SY30 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(39,plain,
( ( ! [SY32: $i] :
( ( ( subset @ sK1_A @ sK2_SY30 )
& ( subset @ SY32 @ sK2_SY30 ) )
=> ( subset @ ( set_union2 @ sK1_A @ SY32 ) @ sK2_SY30 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(40,plain,
( ( ( ( subset @ sK1_A @ sK2_SY30 )
& ( subset @ sK3_SY32 @ sK2_SY30 ) )
=> ( subset @ ( set_union2 @ sK1_A @ sK3_SY32 ) @ sK2_SY30 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(41,plain,
( ( subset @ sK1_A @ sK2_SY30 )
= $true ),
inference(standard_cnf,[status(thm)],[40]) ).
thf(42,plain,
( ( subset @ sK3_SY32 @ sK2_SY30 )
= $true ),
inference(standard_cnf,[status(thm)],[40]) ).
thf(43,plain,
( ( subset @ ( set_union2 @ sK1_A @ sK3_SY32 ) @ sK2_SY30 )
= $false ),
inference(standard_cnf,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ( subset @ ( set_union2 @ sK1_A @ sK3_SY32 ) @ sK2_SY30 ) )
= $true ),
inference(polarity_switch,[status(thm)],[43]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(47,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(48,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(49,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(50,plain,
( ( empty @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(51,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(52,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(53,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK6_C @ B @ A ) @ A )
& ~ ( in @ ( sK6_C @ B @ A ) @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] :
( ~ ( in @ C @ A )
| ( in @ C @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(55,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK7_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ A ) )
& ( ~ ( in @ ( sK7_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ B ) )
& ( ( in @ ( sK7_D @ C @ B @ A ) @ C )
| ( in @ ( sK7_D @ C @ B @ A ) @ A )
| ( in @ ( sK7_D @ C @ B @ A ) @ B ) ) )
| ( C
= ( set_union2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_union2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A )
| ( in @ D @ B ) )
& ! [D: $i] :
( ~ ( in @ D @ A )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ B )
| ( in @ D @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(59,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK7_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ A ) )
& ( ~ ( in @ ( sK7_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ B ) )
& ( ( in @ ( sK7_D @ C @ B @ A ) @ C )
| ( in @ ( sK7_D @ C @ B @ A ) @ A )
| ( in @ ( sK7_D @ C @ B @ A ) @ B ) ) )
| ( C
= ( set_union2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_union2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A )
| ( in @ D @ B ) )
& ! [D: $i] :
( ~ ( in @ D @ A )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ B )
| ( in @ D @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK6_C @ B @ A ) @ A )
& ~ ( in @ ( sK6_C @ B @ A ) @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] :
( ~ ( in @ C @ A )
| ( in @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(61,plain,
$true = $true,
inference(copy,[status(thm)],[33]) ).
thf(62,plain,
$true = $true,
inference(copy,[status(thm)],[32]) ).
thf(63,plain,
( ( empty @ empty_set )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(64,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(65,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(66,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(67,plain,
( ( empty @ sK5_A )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(68,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(69,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(70,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ empty_set )
= A ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(71,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(74,plain,
( ( subset @ sK3_SY32 @ sK2_SY30 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(75,plain,
( ( subset @ sK1_A @ sK2_SY30 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(76,plain,
( ( ~ ( subset @ ( set_union2 @ sK1_A @ sK3_SY32 ) @ sK2_SY30 ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(77,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
| ~ ( ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX2
= ( set_union2 @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( set_union2 @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ( in @ SX3 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(78,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(79,plain,
! [SV1: $i] :
( ( ! [SY33: $i] :
( ~ ( in @ SV1 @ SY33 )
| ~ ( in @ SY33 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(80,plain,
! [SV2: $i] :
( ( ! [SY34: $i] :
( ( set_union2 @ SV2 @ SY34 )
= ( set_union2 @ SY34 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(81,plain,
! [SV3: $i] :
( ( ( empty @ SV3 )
| ! [SY35: $i] :
~ ( empty @ ( set_union2 @ SV3 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(82,plain,
! [SV4: $i] :
( ( ( empty @ SV4 )
| ! [SY36: $i] :
~ ( empty @ ( set_union2 @ SY36 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV5: $i] :
( ( ( set_union2 @ SV5 @ SV5 )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(84,plain,
( ( empty @ sK4_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(85,plain,
! [SV6: $i] :
( ( subset @ SV6 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( set_union2 @ SV7 @ empty_set )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(87,plain,
! [SV8: $i] :
( ( ~ ( empty @ SV8 )
| ( SV8 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(88,plain,
! [SV9: $i] :
( ( ! [SY37: $i] :
( ~ ( empty @ SY37 )
| ~ ( in @ SV9 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(89,plain,
! [SV10: $i] :
( ( ! [SY38: $i] :
( ( SV10 = SY38 )
| ~ ( empty @ SV10 )
| ~ ( empty @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(90,plain,
( ( subset @ ( set_union2 @ sK1_A @ sK3_SY32 ) @ sK2_SY30 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV11: $i] :
( ( ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ~ ( ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ( SY40
= ( set_union2 @ SV11 @ SY39 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ( SY42
!= ( set_union2 @ SV11 @ SY41 ) )
| ~ ( ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ SY42 )
| ( in @ SY43 @ SV11 )
| ( in @ SY43 @ SY41 ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ SV11 )
| ( in @ SY44 @ SY42 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY41 )
| ( in @ SX3 @ SY42 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(92,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV12: $i,SV1: $i] :
( ( ~ ( in @ SV1 @ SV12 )
| ~ ( in @ SV12 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV13: $i,SV2: $i] :
( ( ( set_union2 @ SV2 @ SV13 )
= ( set_union2 @ SV13 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV3: $i] :
( ( ( empty @ SV3 )
= $true )
| ( ( ! [SY35: $i] :
~ ( empty @ ( set_union2 @ SV3 @ SY35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV4: $i] :
( ( ( empty @ SV4 )
= $true )
| ( ( ! [SY36: $i] :
~ ( empty @ ( set_union2 @ SY36 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV8: $i] :
( ( ( ~ ( empty @ SV8 ) )
= $true )
| ( ( SV8 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV9: $i,SV14: $i] :
( ( ~ ( empty @ SV14 )
| ~ ( in @ SV9 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV15: $i,SV10: $i] :
( ( ( SV10 = SV15 )
| ~ ( empty @ SV10 )
| ~ ( empty @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV11: $i] :
( ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ~ ( ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ( SY40
= ( set_union2 @ SV11 @ SY39 ) ) )
| ~ ! [SY41: $i,SY42: $i] :
( ( SY42
!= ( set_union2 @ SV11 @ SY41 ) )
| ~ ( ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ SY42 )
| ( in @ SY43 @ SV11 )
| ( in @ SY43 @ SY41 ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ SV11 )
| ( in @ SY44 @ SY42 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY41 )
| ( in @ SX3 @ SY42 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(101,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(102,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(103,plain,
! [SV12: $i,SV1: $i] :
( ( ( ~ ( in @ SV1 @ SV12 ) )
= $true )
| ( ( ~ ( in @ SV12 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( empty @ ( set_union2 @ SV3 @ SV16 ) ) )
= $true )
| ( ( empty @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV4: $i,SV17: $i] :
( ( ( ~ ( empty @ ( set_union2 @ SV17 @ SV4 ) ) )
= $true )
| ( ( empty @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV8: $i] :
( ( ( empty @ SV8 )
= $false )
| ( ( SV8 = empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV9: $i,SV14: $i] :
( ( ( ~ ( empty @ SV14 ) )
= $true )
| ( ( ~ ( in @ SV9 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV15: $i,SV10: $i] :
( ( ( ( SV10 = SV15 )
| ~ ( empty @ SV10 ) )
= $true )
| ( ( ~ ( empty @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV11: $i] :
( ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ~ ( ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ( SY40
= ( set_union2 @ SV11 @ SY39 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(110,plain,
! [SV11: $i] :
( ( ~ ! [SY41: $i,SY42: $i] :
( ( SY42
!= ( set_union2 @ SV11 @ SY41 ) )
| ~ ( ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ SY42 )
| ( in @ SY43 @ SV11 )
| ( in @ SY43 @ SY41 ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ SV11 )
| ( in @ SY44 @ SY42 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY41 )
| ( in @ SX3 @ SY42 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(111,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK6_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(112,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(113,plain,
! [SV12: $i,SV1: $i] :
( ( ( in @ SV1 @ SV12 )
= $false )
| ( ( ~ ( in @ SV12 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV16: $i,SV3: $i] :
( ( ( empty @ ( set_union2 @ SV3 @ SV16 ) )
= $false )
| ( ( empty @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV4: $i,SV17: $i] :
( ( ( empty @ ( set_union2 @ SV17 @ SV4 ) )
= $false )
| ( ( empty @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV9: $i,SV14: $i] :
( ( ( empty @ SV14 )
= $false )
| ( ( ~ ( in @ SV9 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV15: $i,SV10: $i] :
( ( ( SV10 = SV15 )
= $true )
| ( ( ~ ( empty @ SV10 ) )
= $true )
| ( ( ~ ( empty @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV11: $i] :
( ( ! [SY39: $i,SY40: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ~ ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ~ ( ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY40 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SY40 @ SY39 @ SV11 ) @ SY39 ) ) )
| ( SY40
= ( set_union2 @ SV11 @ SY39 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(119,plain,
! [SV11: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ( SY42
!= ( set_union2 @ SV11 @ SY41 ) )
| ~ ( ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ SY42 )
| ( in @ SY43 @ SV11 )
| ( in @ SY43 @ SY41 ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ SV11 )
| ( in @ SY44 @ SY42 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY41 )
| ( in @ SX3 @ SY42 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(120,plain,
! [SV18: $i] :
( ( ! [SY46: $i] :
( ~ ( ~ ( in @ ( sK6_C @ SY46 @ SV18 ) @ SV18 )
| ~ ~ ( in @ ( sK6_C @ SY46 @ SV18 ) @ SY46 ) )
| ( subset @ SV18 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(121,plain,
! [SV19: $i] :
( ( ! [SY47: $i] :
( ~ ( subset @ SV19 @ SY47 )
| ! [SY48: $i] :
( ~ ( in @ SY48 @ SV19 )
| ( in @ SY48 @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(122,plain,
! [SV1: $i,SV12: $i] :
( ( ( in @ SV12 @ SV1 )
= $false )
| ( ( in @ SV1 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV14: $i,SV9: $i] :
( ( ( in @ SV9 @ SV14 )
= $false )
| ( ( empty @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV15: $i,SV10: $i] :
( ( ( empty @ SV10 )
= $false )
| ( ( SV10 = SV15 )
= $true )
| ( ( ~ ( empty @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV11: $i,SV20: $i] :
( ( ! [SY49: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SY49 )
| ~ ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SY49 )
| ~ ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SV20 ) ) )
| ~ ( ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SY49 )
| ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SY49 @ SV20 @ SV11 ) @ SV20 ) ) )
| ( SY49
= ( set_union2 @ SV11 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV21: $i,SV11: $i] :
( ( ! [SY50: $i] :
( ( SY50
!= ( set_union2 @ SV11 @ SV21 ) )
| ~ ( ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ SY50 )
| ( in @ SY51 @ SV11 )
| ( in @ SY51 @ SV21 ) )
| ~ ~ ( ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ SV11 )
| ( in @ SY44 @ SY50 ) )
| ~ ! [SY53: $i] :
( ~ ( in @ SY53 @ SV21 )
| ( in @ SY53 @ SY50 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(127,plain,
! [SV18: $i,SV22: $i] :
( ( ~ ( ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV18 )
| ~ ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV22 ) )
| ( subset @ SV18 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(128,plain,
! [SV23: $i,SV19: $i] :
( ( ~ ( subset @ SV19 @ SV23 )
| ! [SY54: $i] :
( ~ ( in @ SY54 @ SV19 )
| ( in @ SY54 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(129,plain,
! [SV10: $i,SV15: $i] :
( ( ( empty @ SV15 )
= $false )
| ( ( SV10 = SV15 )
= $true )
| ( ( empty @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
| ~ ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
| ( SV24
= ( set_union2 @ SV11 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(131,plain,
! [SV21: $i,SV11: $i,SV25: $i] :
( ( ( SV25
!= ( set_union2 @ SV11 @ SV21 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV25 )
| ( in @ SY55 @ SV11 )
| ( in @ SY55 @ SV21 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(132,plain,
! [SV18: $i,SV22: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV18 )
| ~ ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV22 ) ) )
= $true )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(133,plain,
! [SV23: $i,SV19: $i] :
( ( ( ~ ( subset @ SV19 @ SV23 ) )
= $true )
| ( ( ! [SY54: $i] :
( ~ ( in @ SY54 @ SV19 )
| ( in @ SY54 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
| ~ ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(135,plain,
! [SV21: $i,SV11: $i,SV25: $i] :
( ( ( ( SV25
!= ( set_union2 @ SV11 @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV25 )
| ( in @ SY55 @ SV11 )
| ( in @ SY55 @ SV21 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(136,plain,
! [SV18: $i,SV22: $i] :
( ( ( ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV18 )
| ~ ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV22 ) )
= $false )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV23: $i,SV19: $i] :
( ( ( subset @ SV19 @ SV23 )
= $false )
| ( ( ! [SY54: $i] :
( ~ ( in @ SY54 @ SV19 )
| ( in @ SY54 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(138,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
| ~ ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(139,plain,
! [SV21: $i,SV11: $i,SV25: $i] :
( ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV25 )
| ( in @ SY55 @ SV11 )
| ( in @ SY55 @ SV21 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(140,plain,
! [SV18: $i,SV22: $i] :
( ( ( ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV18 ) )
= $false )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(141,plain,
! [SV18: $i,SV22: $i] :
( ( ( ~ ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV22 ) )
= $false )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(142,plain,
! [SV23: $i,SV19: $i,SV26: $i] :
( ( ( ~ ( in @ SV26 @ SV19 )
| ( in @ SV26 @ SV23 ) )
= $true )
| ( ( subset @ SV19 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(143,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) ) )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(144,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(145,plain,
! [SV21: $i,SV11: $i,SV25: $i] :
( ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV25 )
| ( in @ SY55 @ SV11 )
| ( in @ SY55 @ SV21 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV18: $i,SV22: $i] :
( ( ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV18 )
= $true )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(147,plain,
! [SV18: $i,SV22: $i] :
( ( ( ~ ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV22 ) )
= $true )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(148,plain,
! [SV23: $i,SV19: $i,SV26: $i] :
( ( ( ~ ( in @ SV26 @ SV19 ) )
= $true )
| ( ( in @ SV26 @ SV23 )
= $true )
| ( ( subset @ SV19 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(150,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(151,plain,
! [SV21: $i,SV11: $i,SV25: $i] :
( ( ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV25 )
| ( in @ SY55 @ SV11 )
| ( in @ SY55 @ SV21 ) ) )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(152,plain,
! [SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(153,plain,
! [SV18: $i,SV22: $i] :
( ( ( in @ ( sK6_C @ SV22 @ SV18 ) @ SV22 )
= $false )
| ( ( subset @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV23: $i,SV19: $i,SV26: $i] :
( ( ( in @ SV26 @ SV19 )
= $false )
| ( ( in @ SV26 @ SV23 )
= $true )
| ( ( subset @ SV19 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
| ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(156,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
= $true )
| ( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
| ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV21: $i,SV11: $i,SV25: $i] :
( ( ( ! [SY55: $i] :
( ~ ( in @ SY55 @ SV25 )
| ( in @ SY55 @ SV11 )
| ( in @ SY55 @ SV21 ) ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(158,plain,
! [SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(159,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) ) )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(160,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) ) )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(161,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
= $true )
| ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 )
= $true )
| ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV21: $i,SV11: $i,SV25: $i,SV27: $i] :
( ( ( ~ ( in @ SV27 @ SV25 )
| ( in @ SV27 @ SV11 )
| ( in @ SV27 @ SV21 ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(165,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
| ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(166,plain,
! [SV21: $i,SV11: $i,SV25: $i,SV27: $i] :
( ( ( ~ ( in @ SV27 @ SV25 ) )
= $true )
| ( ( ( in @ SV27 @ SV11 )
| ( in @ SV27 @ SV21 ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(167,plain,
! [SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(168,plain,
! [SV11: $i,SV25: $i,SV21: $i] :
( ( ( ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(169,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 ) )
= $true )
| ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(170,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 ) )
= $true )
| ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(171,plain,
! [SV21: $i,SV11: $i,SV25: $i,SV27: $i] :
( ( ( in @ SV27 @ SV25 )
= $false )
| ( ( ( in @ SV27 @ SV11 )
| ( in @ SV27 @ SV21 ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(172,plain,
! [SV21: $i,SV25: $i,SV11: $i] :
( ( ( ! [SY56: $i] :
( ~ ( in @ SY56 @ SV11 )
| ( in @ SY56 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(173,plain,
! [SV11: $i,SV25: $i,SV21: $i] :
( ( ( ! [SY57: $i] :
( ~ ( in @ SY57 @ SV21 )
| ( in @ SY57 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(174,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
= $false )
| ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(175,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
= $false )
| ( ( ~ ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 ) )
= $true )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(176,plain,
! [SV25: $i,SV21: $i,SV11: $i,SV27: $i] :
( ( ( in @ SV27 @ SV11 )
= $true )
| ( ( in @ SV27 @ SV21 )
= $true )
| ( ( in @ SV27 @ SV25 )
= $false )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(177,plain,
! [SV21: $i,SV25: $i,SV11: $i,SV28: $i] :
( ( ( ~ ( in @ SV28 @ SV11 )
| ( in @ SV28 @ SV25 ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(178,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV29: $i] :
( ( ( ~ ( in @ SV29 @ SV21 )
| ( in @ SV29 @ SV25 ) )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(179,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV11 )
= $false )
| ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(180,plain,
! [SV11: $i,SV20: $i,SV24: $i] :
( ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV20 )
= $false )
| ( ( in @ ( sK7_D @ SV24 @ SV20 @ SV11 ) @ SV24 )
= $false )
| ( ( SV24
= ( set_union2 @ SV11 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(181,plain,
! [SV21: $i,SV25: $i,SV11: $i,SV28: $i] :
( ( ( ~ ( in @ SV28 @ SV11 ) )
= $true )
| ( ( in @ SV28 @ SV25 )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV29: $i] :
( ( ( ~ ( in @ SV29 @ SV21 ) )
= $true )
| ( ( in @ SV29 @ SV25 )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(183,plain,
! [SV21: $i,SV25: $i,SV11: $i,SV28: $i] :
( ( ( in @ SV28 @ SV11 )
= $false )
| ( ( in @ SV28 @ SV25 )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(184,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV29: $i] :
( ( ( in @ SV29 @ SV21 )
= $false )
| ( ( in @ SV29 @ SV25 )
= $true )
| ( ( SV25
= ( set_union2 @ SV11 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(185,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[61,184,183,180,179,176,161,154,153,146,129,123,122,115,114,106,94,90,86,85,84,83,75,74,67,63,62]) ).
thf(186,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 19:35:40 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33
% 0.11/0.33 No.of.Axioms: 17
% 0.11/0.33
% 0.11/0.33 Length.of.Defs: 0
% 0.11/0.33
% 0.11/0.33 Contains.Choice.Funs: false
% 0.11/0.34 (rf:0,axioms:17,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:19,loop_count:0,foatp_calls:0,translation:fof_full)...........
% 49.69/49.90
% 49.69/49.90 ********************************
% 49.69/49.90 * All subproblems solved! *
% 49.69/49.90 ********************************
% 49.69/49.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:19,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:185,loop_count:0,foatp_calls:1,translation:fof_full)
% 49.69/49.91
% 49.69/49.91 %**** Beginning of derivation protocol ****
% 49.69/49.91 % SZS output start CNFRefutation
% See solution above
% 49.69/49.91
% 49.69/49.91 %**** End of derivation protocol ****
% 49.69/49.91 %**** no. of clauses in derivation: 186 ****
% 49.69/49.91 %**** clause counter: 185 ****
% 49.69/49.91
% 49.69/49.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:19,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:185,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------