TSTP Solution File: SEU119+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU119+2 : 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 : n013.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 12:06:47 EDT 2022
% Result : Theorem 0.37s 0.61s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 290 ( 159 unt; 12 typ; 0 def)
% Number of atoms : 1817 ( 632 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 4034 ( 759 ~; 623 |; 62 &;2578 @)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 719 ( 0 ^ 708 !; 11 ?; 719 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_disjoint,type,
disjoint: $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_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY22,type,
sK2_SY22: $i ).
thf(tp_sK3_SY26,type,
sK3_SY26: $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_D,type,
sK6_D: $i > $i > $i > $i ).
thf(tp_sK7_B,type,
sK7_B: $i > $i ).
thf(tp_set_intersection2,type,
set_intersection2: $i > $i > $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
thf(2,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(3,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
thf(5,axiom,
empty @ empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(6,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(7,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
thf(10,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(13,conjecture,
! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( in @ C @ A )
& ( in @ C @ B ) )
& ( disjoint @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
thf(14,negated_conjecture,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( in @ C @ A )
& ( in @ C @ B ) )
& ( disjoint @ A @ B ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[13]) ).
thf(15,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( in @ C @ A )
& ( in @ C @ B ) )
& ( disjoint @ A @ B ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(17,plain,
( ( ? [A: $i] :
~ ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(18,plain,
( ( ? [A: $i] : ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(20,plain,
( ( empty @ empty_set )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(21,plain,
$true = $true,
inference(unfold_def,[status(thm)],[6]) ).
thf(22,plain,
$true = $true,
inference(unfold_def,[status(thm)],[7]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(25,plain,
( ( ! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(28,plain,
( ( ! [SY22: $i] :
( ~ ( ~ ( disjoint @ sK1_A @ SY22 )
& ! [SY23: $i] :
~ ( ( in @ SY23 @ sK1_A )
& ( in @ SY23 @ SY22 ) ) )
& ~ ( ? [SY24: $i] :
( ( in @ SY24 @ sK1_A )
& ( in @ SY24 @ SY22 ) )
& ( disjoint @ sK1_A @ SY22 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(29,plain,
( ( ~ ( ~ ( disjoint @ sK1_A @ sK2_SY22 )
& ! [SY25: $i] :
~ ( ( in @ SY25 @ sK1_A )
& ( in @ SY25 @ sK2_SY22 ) ) )
& ~ ( ? [SY26: $i] :
( ( in @ SY26 @ sK1_A )
& ( in @ SY26 @ sK2_SY22 ) )
& ( disjoint @ sK1_A @ sK2_SY22 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[28]) ).
thf(30,plain,
( ( ~ ( ~ ( disjoint @ sK1_A @ sK2_SY22 )
& ! [SY25: $i] :
~ ( ( in @ SY25 @ sK1_A )
& ( in @ SY25 @ sK2_SY22 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[29]) ).
thf(31,plain,
( ( ~ ( ? [SY26: $i] :
( ( in @ SY26 @ sK1_A )
& ( in @ SY26 @ sK2_SY22 ) )
& ( disjoint @ sK1_A @ sK2_SY22 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[29]) ).
thf(32,plain,
( ( ~ ( disjoint @ sK1_A @ sK2_SY22 )
& ! [SY25: $i] :
~ ( ( in @ SY25 @ sK1_A )
& ( in @ SY25 @ sK2_SY22 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(33,plain,
( ( ? [SY26: $i] :
( ( in @ SY26 @ sK1_A )
& ( in @ SY26 @ sK2_SY22 ) )
& ( disjoint @ sK1_A @ sK2_SY22 ) )
= $true ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(34,plain,
( ( ~ ( disjoint @ sK1_A @ sK2_SY22 )
& ! [SY25: $i] :
( ~ ( in @ SY25 @ sK1_A )
| ~ ( in @ SY25 @ sK2_SY22 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(35,plain,
( ( ( in @ sK3_SY26 @ sK1_A )
& ( in @ sK3_SY26 @ sK2_SY22 )
& ( disjoint @ sK1_A @ sK2_SY22 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(37,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(38,plain,
( ( empty @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(39,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_intersection2 @ A @ B )
!= empty_set )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(41,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_intersection2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_intersection2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ~ ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(42,plain,
( ( ! [A: $i] :
( ( in @ ( sK7_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(46,plain,
( ( ! [A: $i] :
( ( in @ ( sK7_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(47,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_intersection2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_intersection2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ~ ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_intersection2 @ A @ B )
!= empty_set )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(49,plain,
$true = $true,
inference(copy,[status(thm)],[22]) ).
thf(50,plain,
$true = $true,
inference(copy,[status(thm)],[21]) ).
thf(51,plain,
( ( empty @ empty_set )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(52,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(53,plain,
( ( empty @ sK5_A )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(54,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(56,plain,
( ( ~ ( disjoint @ sK1_A @ sK2_SY22 )
& ! [SY25: $i] :
( ~ ( in @ SY25 @ sK1_A )
| ~ ( in @ SY25 @ sK2_SY22 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(57,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(58,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) ) )
| ( SX2
= ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(59,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(60,plain,
( ( ~ ( ~ ~ ( disjoint @ sK1_A @ sK2_SY22 )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ SX0 @ sK2_SY22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY27: $i] :
( ~ ( in @ SV1 @ SY27 )
| ~ ( in @ SY27 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(62,plain,
! [SV2: $i] :
( ( ! [SY28: $i] :
( ( set_intersection2 @ SV2 @ SY28 )
= ( set_intersection2 @ SY28 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(63,plain,
! [SV3: $i] :
( ( ( set_intersection2 @ SV3 @ SV3 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(64,plain,
( ( empty @ sK4_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV4: $i] :
( ( ! [SY29: $i] :
( ~ ( disjoint @ SV4 @ SY29 )
| ( disjoint @ SY29 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(66,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV5: $i] :
( ( ~ ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) ) ) )
| ( SY31
= ( set_intersection2 @ SV5 @ SY30 ) ) )
| ~ ! [SY32: $i,SY33: $i] :
( ( SY33
!= ( set_intersection2 @ SV5 @ SY32 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( in @ SY34 @ SV5 )
| ~ ( in @ SY34 @ SY32 )
| ( in @ SY34 @ SY33 ) )
| ~ ~ ( ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ SY33 )
| ( in @ SY35 @ SV5 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY33 )
| ( in @ SX3 @ SY32 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(68,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(69,plain,
( ( ~ ~ ( disjoint @ sK1_A @ sK2_SY22 )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ SX0 @ sK2_SY22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV6: $i,SV1: $i] :
( ( ~ ( in @ SV1 @ SV6 )
| ~ ( in @ SV6 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV7: $i,SV2: $i] :
( ( ( set_intersection2 @ SV2 @ SV7 )
= ( set_intersection2 @ SV7 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( disjoint @ SV4 @ SV8 )
| ( disjoint @ SV8 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(73,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(74,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(75,plain,
! [SV5: $i] :
( ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) ) ) )
| ( SY31
= ( set_intersection2 @ SV5 @ SY30 ) ) )
| ~ ! [SY32: $i,SY33: $i] :
( ( SY33
!= ( set_intersection2 @ SV5 @ SY32 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( in @ SY34 @ SV5 )
| ~ ( in @ SY34 @ SY32 )
| ( in @ SY34 @ SY33 ) )
| ~ ~ ( ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ SY33 )
| ( in @ SY35 @ SV5 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY33 )
| ( in @ SX3 @ SY32 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(77,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(78,plain,
( ( ~ ~ ( disjoint @ sK1_A @ sK2_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(79,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ SX0 @ sK2_SY22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(80,plain,
! [SV6: $i,SV1: $i] :
( ( ( ~ ( in @ SV1 @ SV6 ) )
= $true )
| ( ( ~ ( in @ SV6 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( disjoint @ SV4 @ SV8 ) )
= $true )
| ( ( disjoint @ SV8 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(82,plain,
( ( ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(83,plain,
( ( ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(84,plain,
! [SV5: $i] :
( ( ~ ! [SY30: $i,SY31: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) ) ) )
| ( SY31
= ( set_intersection2 @ SV5 @ SY30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(85,plain,
! [SV5: $i] :
( ( ~ ! [SY32: $i,SY33: $i] :
( ( SY33
!= ( set_intersection2 @ SV5 @ SY32 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( in @ SY34 @ SV5 )
| ~ ( in @ SY34 @ SY32 )
| ( in @ SY34 @ SY33 ) )
| ~ ~ ( ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ SY33 )
| ( in @ SY35 @ SV5 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY33 )
| ( in @ SX3 @ SY32 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(86,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(87,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(88,plain,
( ( ~ ( disjoint @ sK1_A @ sK2_SY22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(89,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_A )
| ~ ( in @ SX0 @ sK2_SY22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(90,plain,
! [SV6: $i,SV1: $i] :
( ( ( in @ SV1 @ SV6 )
= $false )
| ( ( ~ ( in @ SV6 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV8: $i,SV4: $i] :
( ( ( disjoint @ SV4 @ SV8 )
= $false )
| ( ( disjoint @ SV8 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV9: $i] :
( ( ( in @ ( sK7_B @ SV9 ) @ SV9 )
| ( SV9 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV10: $i] :
( ( ( SV10 != empty_set )
| ! [SY37: $i] :
~ ( in @ SY37 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV5: $i] :
( ( ! [SY30: $i,SY31: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ~ ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) )
| ~ ( ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY30 )
| ( in @ ( sK6_D @ SY31 @ SY30 @ SV5 ) @ SY31 ) ) ) )
| ( SY31
= ( set_intersection2 @ SV5 @ SY30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(95,plain,
! [SV5: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( SY33
!= ( set_intersection2 @ SV5 @ SY32 ) )
| ~ ( ~ ! [SY34: $i] :
( ~ ( in @ SY34 @ SV5 )
| ~ ( in @ SY34 @ SY32 )
| ( in @ SY34 @ SY33 ) )
| ~ ~ ( ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ SY33 )
| ( in @ SY35 @ SV5 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY33 )
| ( in @ SX3 @ SY32 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(96,plain,
! [SV11: $i] :
( ( ! [SY38: $i] :
( ( ( set_intersection2 @ SV11 @ SY38 )
!= empty_set )
| ( disjoint @ SV11 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV12: $i] :
( ( ! [SY39: $i] :
( ~ ( disjoint @ SV12 @ SY39 )
| ( ( set_intersection2 @ SV12 @ SY39 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(98,plain,
( ( disjoint @ sK1_A @ sK2_SY22 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV13: $i] :
( ( ~ ( in @ SV13 @ sK1_A )
| ~ ( in @ SV13 @ sK2_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV1: $i,SV6: $i] :
( ( ( in @ SV6 @ SV1 )
= $false )
| ( ( in @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV9: $i] :
( ( ( in @ ( sK7_B @ SV9 ) @ SV9 )
= $true )
| ( ( SV9 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV10: $i] :
( ( ( ( SV10 != empty_set ) )
= $true )
| ( ( ! [SY37: $i] :
~ ( in @ SY37 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV5: $i,SV14: $i] :
( ( ! [SY40: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SV14 )
| ~ ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SY40 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SY40 ) )
| ~ ( ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SY40 @ SV14 @ SV5 ) @ SY40 ) ) ) )
| ( SY40
= ( set_intersection2 @ SV5 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY41: $i] :
( ( SY41
!= ( set_intersection2 @ SV5 @ SV15 ) )
| ~ ( ~ ! [SY42: $i] :
( ~ ( in @ SY42 @ SV5 )
| ~ ( in @ SY42 @ SV15 )
| ( in @ SY42 @ SY41 ) )
| ~ ~ ( ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ SY41 )
| ( in @ SY35 @ SV5 ) )
| ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ SY41 )
| ( in @ SY44 @ SV15 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV16: $i,SV11: $i] :
( ( ( ( set_intersection2 @ SV11 @ SV16 )
!= empty_set )
| ( disjoint @ SV11 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV17: $i,SV12: $i] :
( ( ~ ( disjoint @ SV12 @ SV17 )
| ( ( set_intersection2 @ SV12 @ SV17 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV13: $i] :
( ( ( ~ ( in @ SV13 @ sK1_A ) )
= $true )
| ( ( ~ ( in @ SV13 @ sK2_SY22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV10: $i] :
( ( ( SV10 = empty_set )
= $false )
| ( ( ! [SY37: $i] :
~ ( in @ SY37 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(109,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) ) )
| ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( SV19
!= ( set_intersection2 @ SV5 @ SV15 ) )
| ~ ( ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ SV5 )
| ~ ( in @ SY45 @ SV15 )
| ( in @ SY45 @ SV19 ) )
| ~ ~ ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV16: $i,SV11: $i] :
( ( ( ( ( set_intersection2 @ SV11 @ SV16 )
!= empty_set ) )
= $true )
| ( ( disjoint @ SV11 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV17: $i,SV12: $i] :
( ( ( ~ ( disjoint @ SV12 @ SV17 ) )
= $true )
| ( ( ( set_intersection2 @ SV12 @ SV17 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV13: $i] :
( ( ( in @ SV13 @ sK1_A )
= $false )
| ( ( ~ ( in @ SV13 @ sK2_SY22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV10: $i,SV20: $i] :
( ( ( ~ ( in @ SV20 @ SV10 ) )
= $true )
| ( ( SV10 = empty_set )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(115,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) ) ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( ( SV19
!= ( set_intersection2 @ SV5 @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ SV5 )
| ~ ( in @ SY45 @ SV15 )
| ( in @ SY45 @ SV19 ) )
| ~ ~ ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV16: $i,SV11: $i] :
( ( ( ( set_intersection2 @ SV11 @ SV16 )
= empty_set )
= $false )
| ( ( disjoint @ SV11 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV17: $i,SV12: $i] :
( ( ( disjoint @ SV12 @ SV17 )
= $false )
| ( ( ( set_intersection2 @ SV12 @ SV17 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV13: $i] :
( ( ( in @ SV13 @ sK2_SY22 )
= $false )
| ( ( in @ SV13 @ sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV10: $i,SV20: $i] :
( ( ( in @ SV20 @ SV10 )
= $false )
| ( ( SV10 = empty_set )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(121,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) ) )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false )
| ( ( ~ ( ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ SV5 )
| ~ ( in @ SY45 @ SV15 )
| ( in @ SY45 @ SV19 ) )
| ~ ~ ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(124,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) ) )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(125,plain,
! [SV19: $i,SV15: $i,SV5: $i] :
( ( ( ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ SV5 )
| ~ ( in @ SY45 @ SV15 )
| ( in @ SY45 @ SV19 ) )
| ~ ~ ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) ) )
= $false )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(127,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(128,plain,
! [SV19: $i,SV15: $i,SV5: $i] :
( ( ( ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ SV5 )
| ~ ( in @ SY45 @ SV15 )
| ( in @ SY45 @ SV19 ) ) )
= $false )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(129,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) ) )
= $false )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
| ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV19: $i,SV15: $i,SV5: $i] :
( ( ( ! [SY45: $i] :
( ~ ( in @ SY45 @ SV5 )
| ~ ( in @ SY45 @ SV15 )
| ( in @ SY45 @ SV19 ) ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(133,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( ~ ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(134,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(135,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(136,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) ) )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(137,plain,
! [SV19: $i,SV15: $i,SV5: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV5 )
| ~ ( in @ SV21 @ SV15 )
| ( in @ SV21 @ SV19 ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(138,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) )
= $false )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(139,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
= $false )
| ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(140,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(141,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
| ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(142,plain,
! [SV19: $i,SV15: $i,SV5: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV5 )
| ~ ( in @ SV21 @ SV15 ) )
= $true )
| ( ( in @ SV21 @ SV19 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(143,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) ) )
= $false )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(144,plain,
! [SV5: $i,SV15: $i,SV19: $i] :
( ( ( ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) )
= $false )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(145,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
= $false )
| ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
= $false )
| ( ( ~ ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 ) )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(146,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
= $true )
| ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
= $true )
| ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 )
= $true )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV19: $i,SV15: $i,SV5: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV21 @ SV15 ) )
= $true )
| ( ( in @ SV21 @ SV19 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV15: $i,SV5: $i,SV19: $i] :
( ( ( ! [SY46: $i] :
( ~ ( in @ SY46 @ SV19 )
| ( in @ SY46 @ SV5 ) ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(150,plain,
! [SV5: $i,SV15: $i,SV19: $i] :
( ( ( ! [SY47: $i] :
( ~ ( in @ SY47 @ SV19 )
| ( in @ SY47 @ SV15 ) ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(151,plain,
! [SV5: $i,SV14: $i,SV18: $i] :
( ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV18 )
= $false )
| ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV5 )
= $false )
| ( ( in @ ( sK6_D @ SV18 @ SV14 @ SV5 ) @ SV14 )
= $false )
| ( ( SV18
= ( set_intersection2 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV19: $i,SV15: $i,SV5: $i,SV21: $i] :
( ( ( in @ SV21 @ SV5 )
= $false )
| ( ( ~ ( in @ SV21 @ SV15 ) )
= $true )
| ( ( in @ SV21 @ SV19 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(153,plain,
! [SV15: $i,SV5: $i,SV19: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ SV19 )
| ( in @ SV22 @ SV5 ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(154,plain,
! [SV5: $i,SV15: $i,SV19: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ SV19 )
| ( in @ SV23 @ SV15 ) )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(155,plain,
! [SV19: $i,SV5: $i,SV15: $i,SV21: $i] :
( ( ( in @ SV21 @ SV15 )
= $false )
| ( ( in @ SV21 @ SV5 )
= $false )
| ( ( in @ SV21 @ SV19 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(156,plain,
! [SV15: $i,SV5: $i,SV19: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ SV19 ) )
= $true )
| ( ( in @ SV22 @ SV5 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(157,plain,
! [SV5: $i,SV15: $i,SV19: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ SV19 ) )
= $true )
| ( ( in @ SV23 @ SV15 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(158,plain,
! [SV15: $i,SV5: $i,SV19: $i,SV22: $i] :
( ( ( in @ SV22 @ SV19 )
= $false )
| ( ( in @ SV22 @ SV5 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(159,plain,
! [SV5: $i,SV15: $i,SV19: $i,SV23: $i] :
( ( ( in @ SV23 @ SV19 )
= $false )
| ( ( in @ SV23 @ SV15 )
= $true )
| ( ( SV19
= ( set_intersection2 @ SV5 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(160,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,159,158,155,151,147,146,120,119,118,117,101,100,98,91,71,64,63,53,51,50]) ).
thf(161,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(163,plain,
( ( ! [A: $i] :
( ( in @ ( sK7_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(164,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_intersection2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_intersection2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ~ ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(165,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_intersection2 @ A @ B )
!= empty_set )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(166,plain,
$true = $true,
inference(copy,[status(thm)],[22]) ).
thf(167,plain,
$true = $true,
inference(copy,[status(thm)],[21]) ).
thf(168,plain,
( ( empty @ empty_set )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(169,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(170,plain,
( ( empty @ sK5_A )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(171,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(172,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(173,plain,
( ( ( in @ sK3_SY26 @ sK1_A )
& ( in @ sK3_SY26 @ sK2_SY22 )
& ( disjoint @ sK1_A @ sK2_SY22 ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(174,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(175,plain,
( ( ~ ( ~ ~ ( ~ ( in @ sK3_SY26 @ sK1_A )
| ~ ( in @ sK3_SY26 @ sK2_SY22 ) )
| ~ ( disjoint @ sK1_A @ sK2_SY22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(176,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(177,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) ) )
| ( SX2
= ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(178,plain,
! [SV24: $i] :
( ( ! [SY48: $i] :
( ~ ( in @ SV24 @ SY48 )
| ~ ( in @ SY48 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(179,plain,
! [SV25: $i] :
( ( ! [SY49: $i] :
( ( set_intersection2 @ SV25 @ SY49 )
= ( set_intersection2 @ SY49 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(180,plain,
! [SV26: $i] :
( ( ( set_intersection2 @ SV26 @ SV26 )
= SV26 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(181,plain,
( ( empty @ sK4_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(182,plain,
! [SV27: $i] :
( ( ! [SY50: $i] :
( ~ ( disjoint @ SV27 @ SY50 )
| ( disjoint @ SY50 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(183,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(184,plain,
( ( ~ ~ ( ~ ( in @ sK3_SY26 @ sK1_A )
| ~ ( in @ sK3_SY26 @ sK2_SY22 ) )
| ~ ( disjoint @ sK1_A @ sK2_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(185,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(186,plain,
! [SV28: $i] :
( ( ~ ( ~ ! [SY51: $i,SY52: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) ) ) )
| ( SY52
= ( set_intersection2 @ SV28 @ SY51 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( SY54
!= ( set_intersection2 @ SV28 @ SY53 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV28 )
| ~ ( in @ SY55 @ SY53 )
| ( in @ SY55 @ SY54 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SY54 )
| ( in @ SY56 @ SV28 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY54 )
| ( in @ SX3 @ SY53 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(187,plain,
! [SV29: $i,SV24: $i] :
( ( ~ ( in @ SV24 @ SV29 )
| ~ ( in @ SV29 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(188,plain,
! [SV30: $i,SV25: $i] :
( ( ( set_intersection2 @ SV25 @ SV30 )
= ( set_intersection2 @ SV30 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(189,plain,
! [SV31: $i,SV27: $i] :
( ( ~ ( disjoint @ SV27 @ SV31 )
| ( disjoint @ SV31 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(190,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(191,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(192,plain,
( ( ~ ~ ( ~ ( in @ sK3_SY26 @ sK1_A )
| ~ ( in @ sK3_SY26 @ sK2_SY22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(193,plain,
( ( ~ ( disjoint @ sK1_A @ sK2_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(194,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(195,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV28: $i] :
( ( ~ ! [SY51: $i,SY52: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) ) ) )
| ( SY52
= ( set_intersection2 @ SV28 @ SY51 ) ) )
| ~ ! [SY53: $i,SY54: $i] :
( ( SY54
!= ( set_intersection2 @ SV28 @ SY53 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV28 )
| ~ ( in @ SY55 @ SY53 )
| ( in @ SY55 @ SY54 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SY54 )
| ( in @ SY56 @ SV28 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY54 )
| ( in @ SX3 @ SY53 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV29: $i,SV24: $i] :
( ( ( ~ ( in @ SV24 @ SV29 ) )
= $true )
| ( ( ~ ( in @ SV29 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV31: $i,SV27: $i] :
( ( ( ~ ( disjoint @ SV27 @ SV31 ) )
= $true )
| ( ( disjoint @ SV31 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(199,plain,
( ( ! [SX0: $i] :
( ( in @ ( sK7_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(200,plain,
( ( ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(201,plain,
( ( ~ ( ~ ( in @ sK3_SY26 @ sK1_A )
| ~ ( in @ sK3_SY26 @ sK2_SY22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(202,plain,
( ( disjoint @ sK1_A @ sK2_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(203,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(204,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(205,plain,
! [SV28: $i] :
( ( ~ ! [SY51: $i,SY52: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) ) ) )
| ( SY52
= ( set_intersection2 @ SV28 @ SY51 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(206,plain,
! [SV28: $i] :
( ( ~ ! [SY53: $i,SY54: $i] :
( ( SY54
!= ( set_intersection2 @ SV28 @ SY53 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV28 )
| ~ ( in @ SY55 @ SY53 )
| ( in @ SY55 @ SY54 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SY54 )
| ( in @ SY56 @ SV28 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY54 )
| ( in @ SX3 @ SY53 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV29: $i,SV24: $i] :
( ( ( in @ SV24 @ SV29 )
= $false )
| ( ( ~ ( in @ SV29 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV31: $i,SV27: $i] :
( ( ( disjoint @ SV27 @ SV31 )
= $false )
| ( ( disjoint @ SV31 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(209,plain,
! [SV32: $i] :
( ( ( in @ ( sK7_B @ SV32 ) @ SV32 )
| ( SV32 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(210,plain,
! [SV33: $i] :
( ( ( SV33 != empty_set )
| ! [SY58: $i] :
~ ( in @ SY58 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(211,plain,
( ( ~ ( in @ sK3_SY26 @ sK1_A )
| ~ ( in @ sK3_SY26 @ sK2_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV34: $i] :
( ( ! [SY59: $i] :
( ( ( set_intersection2 @ SV34 @ SY59 )
!= empty_set )
| ( disjoint @ SV34 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(213,plain,
! [SV35: $i] :
( ( ! [SY60: $i] :
( ~ ( disjoint @ SV35 @ SY60 )
| ( ( set_intersection2 @ SV35 @ SY60 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(214,plain,
! [SV28: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ~ ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) )
| ~ ( ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY51 )
| ( in @ ( sK6_D @ SY52 @ SY51 @ SV28 ) @ SY52 ) ) ) )
| ( SY52
= ( set_intersection2 @ SV28 @ SY51 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(215,plain,
! [SV28: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ( SY54
!= ( set_intersection2 @ SV28 @ SY53 ) )
| ~ ( ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ SV28 )
| ~ ( in @ SY55 @ SY53 )
| ( in @ SY55 @ SY54 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SY54 )
| ( in @ SY56 @ SV28 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY54 )
| ( in @ SX3 @ SY53 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(216,plain,
! [SV24: $i,SV29: $i] :
( ( ( in @ SV29 @ SV24 )
= $false )
| ( ( in @ SV24 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(217,plain,
! [SV32: $i] :
( ( ( in @ ( sK7_B @ SV32 ) @ SV32 )
= $true )
| ( ( SV32 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(218,plain,
! [SV33: $i] :
( ( ( ( SV33 != empty_set ) )
= $true )
| ( ( ! [SY58: $i] :
~ ( in @ SY58 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(219,plain,
( ( ~ ( in @ sK3_SY26 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(220,plain,
( ( ~ ( in @ sK3_SY26 @ sK2_SY22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(221,plain,
! [SV36: $i,SV34: $i] :
( ( ( ( set_intersection2 @ SV34 @ SV36 )
!= empty_set )
| ( disjoint @ SV34 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(222,plain,
! [SV37: $i,SV35: $i] :
( ( ~ ( disjoint @ SV35 @ SV37 )
| ( ( set_intersection2 @ SV35 @ SV37 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(223,plain,
! [SV28: $i,SV38: $i] :
( ( ! [SY61: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SV38 )
| ~ ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SY61 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SY61 ) )
| ~ ( ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SY61 @ SV38 @ SV28 ) @ SY61 ) ) ) )
| ( SY61
= ( set_intersection2 @ SV28 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(224,plain,
! [SV39: $i,SV28: $i] :
( ( ! [SY62: $i] :
( ( SY62
!= ( set_intersection2 @ SV28 @ SV39 ) )
| ~ ( ~ ! [SY63: $i] :
( ~ ( in @ SY63 @ SV28 )
| ~ ( in @ SY63 @ SV39 )
| ( in @ SY63 @ SY62 ) )
| ~ ~ ( ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ SY62 )
| ( in @ SY56 @ SV28 ) )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ SY62 )
| ( in @ SY65 @ SV39 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV33: $i] :
( ( ( SV33 = empty_set )
= $false )
| ( ( ! [SY58: $i] :
~ ( in @ SY58 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(226,plain,
( ( in @ sK3_SY26 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(227,plain,
( ( in @ sK3_SY26 @ sK2_SY22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(228,plain,
! [SV36: $i,SV34: $i] :
( ( ( ( ( set_intersection2 @ SV34 @ SV36 )
!= empty_set ) )
= $true )
| ( ( disjoint @ SV34 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(229,plain,
! [SV37: $i,SV35: $i] :
( ( ( ~ ( disjoint @ SV35 @ SV37 ) )
= $true )
| ( ( ( set_intersection2 @ SV35 @ SV37 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(230,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) ) )
| ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(231,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( SV41
!= ( set_intersection2 @ SV28 @ SV39 ) )
| ~ ( ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ SV28 )
| ~ ( in @ SY66 @ SV39 )
| ( in @ SY66 @ SV41 ) )
| ~ ~ ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(232,plain,
! [SV33: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV33 ) )
= $true )
| ( ( SV33 = empty_set )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(233,plain,
! [SV36: $i,SV34: $i] :
( ( ( ( set_intersection2 @ SV34 @ SV36 )
= empty_set )
= $false )
| ( ( disjoint @ SV34 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(234,plain,
! [SV37: $i,SV35: $i] :
( ( ( disjoint @ SV35 @ SV37 )
= $false )
| ( ( ( set_intersection2 @ SV35 @ SV37 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(235,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) ) ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(236,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( ( SV41
!= ( set_intersection2 @ SV28 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ SV28 )
| ~ ( in @ SY66 @ SV39 )
| ( in @ SY66 @ SV41 ) )
| ~ ~ ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(237,plain,
! [SV33: $i,SV42: $i] :
( ( ( in @ SV42 @ SV33 )
= $false )
| ( ( SV33 = empty_set )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(238,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) ) )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(239,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false )
| ( ( ~ ( ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ SV28 )
| ~ ( in @ SY66 @ SV39 )
| ( in @ SY66 @ SV41 ) )
| ~ ~ ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(240,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(241,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) ) )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(242,plain,
! [SV41: $i,SV39: $i,SV28: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ SV28 )
| ~ ( in @ SY66 @ SV39 )
| ( in @ SY66 @ SV41 ) )
| ~ ~ ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) ) )
= $false )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(243,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(244,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(245,plain,
! [SV41: $i,SV39: $i,SV28: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ SV28 )
| ~ ( in @ SY66 @ SV39 )
| ( in @ SY66 @ SV41 ) ) )
= $false )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(246,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) ) )
= $false )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(247,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
| ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(249,plain,
! [SV41: $i,SV39: $i,SV28: $i] :
( ( ( ! [SY66: $i] :
( ~ ( in @ SY66 @ SV28 )
| ~ ( in @ SY66 @ SV39 )
| ( in @ SY66 @ SV41 ) ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(250,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( ~ ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(251,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(252,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(253,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) ) )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(254,plain,
! [SV41: $i,SV39: $i,SV28: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV28 )
| ~ ( in @ SV43 @ SV39 )
| ( in @ SV43 @ SV41 ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(255,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) )
= $false )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(256,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
= $false )
| ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(257,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(258,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
| ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(259,plain,
! [SV41: $i,SV39: $i,SV28: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV28 )
| ~ ( in @ SV43 @ SV39 ) )
= $true )
| ( ( in @ SV43 @ SV41 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(260,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) ) )
= $false )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(261,plain,
! [SV28: $i,SV39: $i,SV41: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) )
= $false )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(262,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
= $false )
| ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
= $false )
| ( ( ~ ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 ) )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(263,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
= $true )
| ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(264,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
= $true )
| ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 )
= $true )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(265,plain,
! [SV41: $i,SV39: $i,SV28: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV28 ) )
= $true )
| ( ( ~ ( in @ SV43 @ SV39 ) )
= $true )
| ( ( in @ SV43 @ SV41 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(266,plain,
! [SV39: $i,SV28: $i,SV41: $i] :
( ( ( ! [SY67: $i] :
( ~ ( in @ SY67 @ SV41 )
| ( in @ SY67 @ SV28 ) ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(267,plain,
! [SV28: $i,SV39: $i,SV41: $i] :
( ( ( ! [SY68: $i] :
( ~ ( in @ SY68 @ SV41 )
| ( in @ SY68 @ SV39 ) ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(268,plain,
! [SV28: $i,SV38: $i,SV40: $i] :
( ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV40 )
= $false )
| ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV28 )
= $false )
| ( ( in @ ( sK6_D @ SV40 @ SV38 @ SV28 ) @ SV38 )
= $false )
| ( ( SV40
= ( set_intersection2 @ SV28 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(269,plain,
! [SV41: $i,SV39: $i,SV28: $i,SV43: $i] :
( ( ( in @ SV43 @ SV28 )
= $false )
| ( ( ~ ( in @ SV43 @ SV39 ) )
= $true )
| ( ( in @ SV43 @ SV41 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(270,plain,
! [SV39: $i,SV28: $i,SV41: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ SV41 )
| ( in @ SV44 @ SV28 ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(271,plain,
! [SV28: $i,SV39: $i,SV41: $i,SV45: $i] :
( ( ( ~ ( in @ SV45 @ SV41 )
| ( in @ SV45 @ SV39 ) )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(272,plain,
! [SV41: $i,SV28: $i,SV39: $i,SV43: $i] :
( ( ( in @ SV43 @ SV39 )
= $false )
| ( ( in @ SV43 @ SV28 )
= $false )
| ( ( in @ SV43 @ SV41 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(273,plain,
! [SV39: $i,SV28: $i,SV41: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ SV41 ) )
= $true )
| ( ( in @ SV44 @ SV28 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(274,plain,
! [SV28: $i,SV39: $i,SV41: $i,SV45: $i] :
( ( ( ~ ( in @ SV45 @ SV41 ) )
= $true )
| ( ( in @ SV45 @ SV39 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(275,plain,
! [SV39: $i,SV28: $i,SV41: $i,SV44: $i] :
( ( ( in @ SV44 @ SV41 )
= $false )
| ( ( in @ SV44 @ SV28 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(276,plain,
! [SV28: $i,SV39: $i,SV41: $i,SV45: $i] :
( ( ( in @ SV45 @ SV41 )
= $false )
| ( ( in @ SV45 @ SV39 )
= $true )
| ( ( SV41
= ( set_intersection2 @ SV28 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(277,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[166,276,275,272,268,264,263,237,234,233,227,226,217,216,208,202,188,181,180,170,168,167]) ).
thf(278,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[277,160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n013.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 : Mon Jun 20 12:15:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 12
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:12,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:14,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.37/0.61
% 0.37/0.61 ********************************
% 0.37/0.61 * All subproblems solved! *
% 0.37/0.61 ********************************
% 0.37/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:277,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.45/0.64
% 0.45/0.64 %**** Beginning of derivation protocol ****
% 0.45/0.64 % SZS output start CNFRefutation
% See solution above
% 0.45/0.65
% 0.45/0.65 %**** End of derivation protocol ****
% 0.45/0.65 %**** no. of clauses in derivation: 278 ****
% 0.45/0.65 %**** clause counter: 277 ****
% 0.45/0.65
% 0.45/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:277,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------