TSTP Solution File: SEU162+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU162+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:07:23 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 131 ( 93 unt; 6 typ; 0 def)
% Number of atoms : 527 ( 204 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 770 ( 140 ~; 92 |; 9 &; 512 @)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 195 ( 0 ^ 195 !; 0 ?; 195 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_disjoint,type,
disjoint: $i > $i > $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: $i ).
thf(tp_set_difference,type,
set_difference: $i > $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_difference @ A @ B )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( in @ A @ B )
=> ( disjoint @ ( singleton @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
thf(4,axiom,
! [A: $i,B: $i] :
~ ( ( disjoint @ ( singleton @ A ) @ B )
& ( in @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).
thf(5,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_xboole_0) ).
thf(6,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tarski) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(8,conjecture,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ ( singleton @ B ) )
= A )
<=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
thf(9,negated_conjecture,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ ( singleton @ B ) )
= A )
<=> ~ ( in @ B @ A ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ ( singleton @ B ) )
= A )
<=> ~ ( in @ B @ A ) ) )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_difference @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
=> ( disjoint @ ( singleton @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [A: $i,B: $i] :
~ ( ( disjoint @ ( singleton @ A ) @ B )
& ( in @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
$true = $true,
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
$true = $true,
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( ! [SY12: $i] :
( ( ( set_difference @ sK1_A @ ( singleton @ SY12 ) )
= sK1_A )
<=> ~ ( in @ SY12 @ sK1_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
<=> ~ ( in @ sK2_SY12 @ sK1_A ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(20,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
=> ~ ( in @ sK2_SY12 @ sK1_A ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[19]) ).
thf(21,plain,
( ( ~ ( in @ sK2_SY12 @ sK1_A )
=> ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[19]) ).
thf(22,plain,
( ( ~ ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
=> ~ ( in @ sK2_SY12 @ sK1_A ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( ~ ( in @ sK2_SY12 @ sK1_A )
=> ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
& ( in @ sK2_SY12 @ sK1_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(25,plain,
( ( ~ ( in @ sK2_SY12 @ sK1_A )
& ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= A )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_difference @ A @ B )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
| ( disjoint @ ( singleton @ A ) @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(29,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ ( singleton @ A ) @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(32,plain,
$true = $true,
inference(copy,[status(thm)],[16]) ).
thf(33,plain,
$true = $true,
inference(copy,[status(thm)],[15]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ ( singleton @ A ) @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
| ( disjoint @ ( singleton @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= A )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_difference @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(38,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
& ( in @ sK2_SY12 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(39,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(40,plain,
( ( ~ ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A )
| ~ ( in @ sK2_SY12 @ sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(41,plain,
! [SV1: $i] :
( ( ! [SY13: $i] :
( ~ ( in @ SV1 @ SY13 )
| ~ ( in @ SY13 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV2: $i] :
( ( ! [SY14: $i] :
( ~ ( disjoint @ ( singleton @ SV2 ) @ SY14 )
| ~ ( in @ SV2 @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV3: $i] :
( ( ! [SY15: $i] :
( ( in @ SV3 @ SY15 )
| ( disjoint @ ( singleton @ SV3 ) @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV4: $i] :
( ( ! [SY16: $i] :
( ~ ( disjoint @ SV4 @ SY16 )
| ( disjoint @ SY16 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A )
| ~ ( in @ sK2_SY12 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV5: $i,SV1: $i] :
( ( ~ ( in @ SV1 @ SV5 )
| ~ ( in @ SV5 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV6: $i,SV2: $i] :
( ( ~ ( disjoint @ ( singleton @ SV2 ) @ SV6 )
| ~ ( in @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV7: $i,SV3: $i] :
( ( ( in @ SV3 @ SV7 )
| ( disjoint @ ( singleton @ SV3 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV8: $i,SV4: $i] :
( ( ~ ( disjoint @ SV4 @ SV8 )
| ( disjoint @ SV8 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ~ ( in @ sK2_SY12 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(55,plain,
! [SV5: $i,SV1: $i] :
( ( ( ~ ( in @ SV1 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV6: $i,SV2: $i] :
( ( ( ~ ( disjoint @ ( singleton @ SV2 ) @ SV6 ) )
= $true )
| ( ( ~ ( in @ SV2 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV7: $i,SV3: $i] :
( ( ( in @ SV3 @ SV7 )
= $true )
| ( ( disjoint @ ( singleton @ SV3 ) @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( disjoint @ SV4 @ SV8 ) )
= $true )
| ( ( disjoint @ SV8 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(59,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(62,plain,
( ( in @ sK2_SY12 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(63,plain,
! [SV5: $i,SV1: $i] :
( ( ( in @ SV1 @ SV5 )
= $false )
| ( ( ~ ( in @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV6: $i,SV2: $i] :
( ( ( disjoint @ ( singleton @ SV2 ) @ SV6 )
= $false )
| ( ( ~ ( in @ SV2 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV8: $i,SV4: $i] :
( ( ( disjoint @ SV4 @ SV8 )
= $false )
| ( ( disjoint @ SV8 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV9: $i] :
( ( ! [SY17: $i] :
( ( ( set_difference @ SV9 @ SY17 )
!= SV9 )
| ( disjoint @ SV9 @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV10: $i] :
( ( ! [SY18: $i] :
( ~ ( disjoint @ SV10 @ SY18 )
| ( ( set_difference @ SV10 @ SY18 )
= SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV1: $i,SV5: $i] :
( ( ( in @ SV5 @ SV1 )
= $false )
| ( ( in @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV6: $i,SV2: $i] :
( ( ( in @ SV2 @ SV6 )
= $false )
| ( ( disjoint @ ( singleton @ SV2 ) @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV11: $i,SV9: $i] :
( ( ( ( set_difference @ SV9 @ SV11 )
!= SV9 )
| ( disjoint @ SV9 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV12: $i,SV10: $i] :
( ( ~ ( disjoint @ SV10 @ SV12 )
| ( ( set_difference @ SV10 @ SV12 )
= SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV11: $i,SV9: $i] :
( ( ( ( ( set_difference @ SV9 @ SV11 )
!= SV9 ) )
= $true )
| ( ( disjoint @ SV9 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV12: $i,SV10: $i] :
( ( ( ~ ( disjoint @ SV10 @ SV12 ) )
= $true )
| ( ( ( set_difference @ SV10 @ SV12 )
= SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV11: $i,SV9: $i] :
( ( ( ( set_difference @ SV9 @ SV11 )
= SV9 )
= $false )
| ( ( disjoint @ SV9 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV12: $i,SV10: $i] :
( ( ( disjoint @ SV10 @ SV12 )
= $false )
| ( ( ( set_difference @ SV10 @ SV12 )
= SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(76,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,75,74,69,68,65,62,61,57,33]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(78,plain,
$true = $true,
inference(copy,[status(thm)],[16]) ).
thf(79,plain,
$true = $true,
inference(copy,[status(thm)],[15]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ ( singleton @ A ) @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
| ( disjoint @ ( singleton @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= A )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_difference @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(84,plain,
( ( ~ ( in @ sK2_SY12 @ sK1_A )
& ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(85,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(86,plain,
( ( ~ ( ~ ~ ( in @ sK2_SY12 @ sK1_A )
| ~ ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(87,plain,
! [SV13: $i] :
( ( ! [SY19: $i] :
( ~ ( in @ SV13 @ SY19 )
| ~ ( in @ SY19 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV14: $i] :
( ( ! [SY20: $i] :
( ~ ( disjoint @ ( singleton @ SV14 ) @ SY20 )
| ~ ( in @ SV14 @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(89,plain,
! [SV15: $i] :
( ( ! [SY21: $i] :
( ( in @ SV15 @ SY21 )
| ( disjoint @ ( singleton @ SV15 ) @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV16: $i] :
( ( ! [SY22: $i] :
( ~ ( disjoint @ SV16 @ SY22 )
| ( disjoint @ SY22 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(91,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
( ( ~ ~ ( in @ sK2_SY12 @ sK1_A )
| ~ ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV17: $i,SV13: $i] :
( ( ~ ( in @ SV13 @ SV17 )
| ~ ( in @ SV17 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV18: $i,SV14: $i] :
( ( ~ ( disjoint @ ( singleton @ SV14 ) @ SV18 )
| ~ ( in @ SV14 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV19: $i,SV15: $i] :
( ( ( in @ SV15 @ SV19 )
| ( disjoint @ ( singleton @ SV15 ) @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(96,plain,
! [SV20: $i,SV16: $i] :
( ( ~ ( disjoint @ SV16 @ SV20 )
| ( disjoint @ SV20 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(97,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(99,plain,
( ( ~ ~ ( in @ sK2_SY12 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(100,plain,
( ( ~ ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(101,plain,
! [SV17: $i,SV13: $i] :
( ( ( ~ ( in @ SV13 @ SV17 ) )
= $true )
| ( ( ~ ( in @ SV17 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV18: $i,SV14: $i] :
( ( ( ~ ( disjoint @ ( singleton @ SV14 ) @ SV18 ) )
= $true )
| ( ( ~ ( in @ SV14 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(103,plain,
! [SV19: $i,SV15: $i] :
( ( ( in @ SV15 @ SV19 )
= $true )
| ( ( disjoint @ ( singleton @ SV15 ) @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(104,plain,
! [SV20: $i,SV16: $i] :
( ( ( ~ ( disjoint @ SV16 @ SV20 ) )
= $true )
| ( ( disjoint @ SV20 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(105,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= SX0 )
| ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(106,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(107,plain,
( ( ~ ( in @ sK2_SY12 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(108,plain,
( ( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
!= sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(109,plain,
! [SV17: $i,SV13: $i] :
( ( ( in @ SV13 @ SV17 )
= $false )
| ( ( ~ ( in @ SV17 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(110,plain,
! [SV18: $i,SV14: $i] :
( ( ( disjoint @ ( singleton @ SV14 ) @ SV18 )
= $false )
| ( ( ~ ( in @ SV14 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV20: $i,SV16: $i] :
( ( ( disjoint @ SV16 @ SV20 )
= $false )
| ( ( disjoint @ SV20 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV21: $i] :
( ( ! [SY23: $i] :
( ( ( set_difference @ SV21 @ SY23 )
!= SV21 )
| ( disjoint @ SV21 @ SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(113,plain,
! [SV22: $i] :
( ( ! [SY24: $i] :
( ~ ( disjoint @ SV22 @ SY24 )
| ( ( set_difference @ SV22 @ SY24 )
= SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(114,plain,
( ( in @ sK2_SY12 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(115,plain,
( ( ( set_difference @ sK1_A @ ( singleton @ sK2_SY12 ) )
= sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV13: $i,SV17: $i] :
( ( ( in @ SV17 @ SV13 )
= $false )
| ( ( in @ SV13 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV18: $i,SV14: $i] :
( ( ( in @ SV14 @ SV18 )
= $false )
| ( ( disjoint @ ( singleton @ SV14 ) @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV23: $i,SV21: $i] :
( ( ( ( set_difference @ SV21 @ SV23 )
!= SV21 )
| ( disjoint @ SV21 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV24: $i,SV22: $i] :
( ( ~ ( disjoint @ SV22 @ SV24 )
| ( ( set_difference @ SV22 @ SV24 )
= SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV23: $i,SV21: $i] :
( ( ( ( ( set_difference @ SV21 @ SV23 )
!= SV21 ) )
= $true )
| ( ( disjoint @ SV21 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(121,plain,
! [SV24: $i,SV22: $i] :
( ( ( ~ ( disjoint @ SV22 @ SV24 ) )
= $true )
| ( ( ( set_difference @ SV22 @ SV24 )
= SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(122,plain,
! [SV23: $i,SV21: $i] :
( ( ( ( set_difference @ SV21 @ SV23 )
= SV21 )
= $false )
| ( ( disjoint @ SV21 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(123,plain,
! [SV24: $i,SV22: $i] :
( ( ( disjoint @ SV22 @ SV24 )
= $false )
| ( ( ( set_difference @ SV22 @ SV24 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(124,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[78,123,122,117,116,115,114,111,103,79]) ).
thf(125,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[124,76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU162+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 05:06:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 7
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:7,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:9,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.42
% 0.19/0.42 ********************************
% 0.19/0.42 * All subproblems solved! *
% 0.19/0.42 ********************************
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:124,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42
% 0.19/0.42 %**** Beginning of derivation protocol ****
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
% 0.19/0.42
% 0.19/0.42 %**** End of derivation protocol ****
% 0.19/0.42 %**** no. of clauses in derivation: 125 ****
% 0.19/0.42 %**** clause counter: 124 ****
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:124,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------