TSTP Solution File: SET009-1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.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 02:57:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 148 ( 80 unt; 11 typ; 0 def)
% Number of atoms : 734 ( 184 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1409 ( 146 ~; 229 |; 0 &;1034 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 349 ( 0 ^ 349 !; 0 ?; 349 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_bDa,type,
bDa: $i ).
thf(tp_bDd,type,
bDd: $i ).
thf(tp_d,type,
d: $i ).
thf(tp_difference,type,
difference: $i > $i > $i > $o ).
thf(tp_equal_sets,type,
equal_sets: $i > $i > $o ).
thf(tp_k,type,
k: $i > $i > $i > $i ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_member_of_1_not_of_2,type,
member_of_1_not_of_2: $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(1,axiom,
! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference )
| ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 )
| ( difference @ Set1 @ Set2 @ Difference ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_axiom3) ).
thf(2,axiom,
! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference )
| ( difference @ Set1 @ Set2 @ Difference ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_axiom1) ).
thf(3,axiom,
! [Set1: $i,Set2: $i,Difference: $i] :
( ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_axiom2) ).
thf(4,axiom,
! [Element: $i,Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ Element @ Set1 )
| ~ ( difference @ Set1 @ Set2 @ Difference )
| ( member @ Element @ Difference )
| ( member @ Element @ Set2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference_or_set2) ).
thf(5,axiom,
! [Element: $i,Set1: $i,Set2: $i,A_set: $i] :
( ~ ( member @ Element @ Set1 )
| ~ ( member @ Element @ Set2 )
| ~ ( difference @ A_set @ Set1 @ Set2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_member_of_difference) ).
thf(6,axiom,
! [Set1: $i,Set2: $i,Difference: $i,Element: $i] :
( ~ ( difference @ Set1 @ Set2 @ Difference )
| ~ ( member @ Element @ Difference )
| ( member @ Element @ Set1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference) ).
thf(7,axiom,
! [Set1: $i,Set2: $i] :
( ~ ( subset @ Set1 @ Set2 )
| ~ ( subset @ Set2 @ Set1 )
| ( equal_sets @ Set2 @ Set1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
thf(8,axiom,
! [Superset: $i,Subset: $i] :
( ~ ( equal_sets @ Superset @ Subset )
| ( subset @ Subset @ Superset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_equal_sets_are_subsets2) ).
thf(9,axiom,
! [Subset: $i,Superset: $i] :
( ~ ( equal_sets @ Subset @ Superset )
| ( subset @ Subset @ Superset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_equal_sets_are_subsets1) ).
thf(10,axiom,
! [Subset: $i,Superset: $i] :
( ~ ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset )
| ( subset @ Subset @ Superset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).
thf(11,axiom,
! [Subset: $i,Superset: $i] :
( ( subset @ Subset @ Superset )
| ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).
thf(12,axiom,
! [Element: $i,Subset: $i,Superset: $i] :
( ~ ( member @ Element @ Subset )
| ~ ( subset @ Subset @ Superset )
| ( member @ Element @ Superset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',membership_in_subsets) ).
thf(13,axiom,
difference @ b @ d @ bDd,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_d) ).
thf(14,axiom,
difference @ b @ a @ bDa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
thf(15,axiom,
subset @ d @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).
thf(16,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(17,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,negated_conjecture,
~ ( subset @ bDa @ bDd ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).
thf(19,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference )
| ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 )
| ( difference @ Set1 @ Set2 @ Difference ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference )
| ( difference @ Set1 @ Set2 @ Difference ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [Element: $i,Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ Element @ Set1 )
| ~ ( difference @ Set1 @ Set2 @ Difference )
| ( member @ Element @ Difference )
| ( member @ Element @ Set2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [Element: $i,Set1: $i,Set2: $i,A_set: $i] :
( ~ ( member @ Element @ Set1 )
| ~ ( member @ Element @ Set2 )
| ~ ( difference @ A_set @ Set1 @ Set2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i,Element: $i] :
( ~ ( difference @ Set1 @ Set2 @ Difference )
| ~ ( member @ Element @ Difference )
| ( member @ Element @ Set1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [Set1: $i,Set2: $i] :
( ~ ( subset @ Set1 @ Set2 )
| ~ ( subset @ Set2 @ Set1 )
| ( equal_sets @ Set2 @ Set1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( ! [Superset: $i,Subset: $i] :
( ~ ( equal_sets @ Superset @ Subset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( ! [Subset: $i,Superset: $i] :
( ~ ( equal_sets @ Subset @ Superset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ! [Subset: $i,Superset: $i] :
( ~ ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [Subset: $i,Superset: $i] :
( ( subset @ Subset @ Superset )
| ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [Element: $i,Subset: $i,Superset: $i] :
( ~ ( member @ Element @ Subset )
| ~ ( subset @ Subset @ Superset )
| ( member @ Element @ Superset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( difference @ b @ d @ bDd )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( difference @ b @ a @ bDa )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( subset @ d @ a )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ~ ( subset @ bDa @ bDd ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(37,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference )
| ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(38,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 )
| ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(39,plain,
( ( ! [Element: $i,Set1: $i] :
( ~ ( member @ Element @ Set1 )
| ! [Set2: $i,Difference: $i] :
( ~ ( difference @ Set1 @ Set2 @ Difference )
| ( member @ Element @ Difference )
| ( member @ Element @ Set2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(40,plain,
( ( ! [Element: $i,Set1: $i] :
( ~ ( member @ Element @ Set1 )
| ! [Set2: $i] :
( ~ ( member @ Element @ Set2 )
| ! [A_set: $i] :
~ ( difference @ A_set @ Set1 @ Set2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(41,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( difference @ Set1 @ Set2 @ Difference )
| ! [Element: $i] :
( ~ ( member @ Element @ Difference )
| ( member @ Element @ Set1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(42,plain,
( ( ! [Subset: $i,Superset: $i] :
( ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(43,plain,
( ( ! [Element: $i,Subset: $i] :
( ~ ( member @ Element @ Subset )
| ! [Superset: $i] :
( ~ ( subset @ Subset @ Superset )
| ( member @ Element @ Superset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(44,plain,
( ( ~ ( subset @ bDa @ bDd ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(45,plain,
( ( subset @ d @ a )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(46,plain,
( ( difference @ b @ a @ bDa )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(47,plain,
( ( difference @ b @ d @ bDd )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(48,plain,
( ( ! [Element: $i,Subset: $i] :
( ~ ( member @ Element @ Subset )
| ! [Superset: $i] :
( ~ ( subset @ Subset @ Superset )
| ( member @ Element @ Superset ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(49,plain,
( ( ! [Subset: $i,Superset: $i] :
( ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(50,plain,
( ( ! [Subset: $i,Superset: $i] :
( ~ ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(51,plain,
( ( ! [Subset: $i,Superset: $i] :
( ~ ( equal_sets @ Subset @ Superset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(52,plain,
( ( ! [Superset: $i,Subset: $i] :
( ~ ( equal_sets @ Superset @ Subset )
| ( subset @ Subset @ Superset ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(53,plain,
( ( ! [Set1: $i,Set2: $i] :
( ~ ( subset @ Set1 @ Set2 )
| ~ ( subset @ Set2 @ Set1 )
| ( equal_sets @ Set2 @ Set1 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(54,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( difference @ Set1 @ Set2 @ Difference )
| ! [Element: $i] :
( ~ ( member @ Element @ Difference )
| ( member @ Element @ Set1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(55,plain,
( ( ! [Element: $i,Set1: $i] :
( ~ ( member @ Element @ Set1 )
| ! [Set2: $i] :
( ~ ( member @ Element @ Set2 )
| ! [A_set: $i] :
~ ( difference @ A_set @ Set1 @ Set2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(56,plain,
( ( ! [Element: $i,Set1: $i] :
( ~ ( member @ Element @ Set1 )
| ! [Set2: $i,Difference: $i] :
( ~ ( difference @ Set1 @ Set2 @ Difference )
| ( member @ Element @ Difference )
| ( member @ Element @ Set2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(57,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(58,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 )
| ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(59,plain,
( ( ! [Set1: $i,Set2: $i,Difference: $i] :
( ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Difference )
| ~ ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set1 )
| ( difference @ Set1 @ Set2 @ Difference )
| ( member @ ( k @ Set1 @ Set2 @ Difference ) @ Set2 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(60,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(61,plain,
( ( subset @ bDa @ bDd )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(62,plain,
! [SV1: $i] :
( ( ! [SY34: $i] :
( ~ ( member @ SV1 @ SY34 )
| ! [SY35: $i] :
( ~ ( subset @ SY34 @ SY35 )
| ( member @ SV1 @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV2: $i] :
( ( ! [SY36: $i] :
( ( member @ ( member_of_1_not_of_2 @ SV2 @ SY36 ) @ SV2 )
| ( subset @ SV2 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV3: $i] :
( ( ! [SY37: $i] :
( ~ ( member @ ( member_of_1_not_of_2 @ SV3 @ SY37 ) @ SY37 )
| ( subset @ SV3 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV4: $i] :
( ( ! [SY38: $i] :
( ~ ( equal_sets @ SV4 @ SY38 )
| ( subset @ SV4 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY39: $i] :
( ~ ( equal_sets @ SV5 @ SY39 )
| ( subset @ SY39 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV6: $i] :
( ( ! [SY40: $i] :
( ~ ( subset @ SV6 @ SY40 )
| ~ ( subset @ SY40 @ SV6 )
| ( equal_sets @ SY40 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV7: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ~ ( difference @ SV7 @ SY41 @ SY42 )
| ! [SY43: $i] :
( ~ ( member @ SY43 @ SY42 )
| ( member @ SY43 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV8: $i] :
( ( ! [SY44: $i] :
( ~ ( member @ SV8 @ SY44 )
| ! [SY45: $i] :
( ~ ( member @ SV8 @ SY45 )
| ! [A_set: $i] :
~ ( difference @ A_set @ SY44 @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV9: $i] :
( ( ! [SY47: $i] :
( ~ ( member @ SV9 @ SY47 )
| ! [SY48: $i,SY49: $i] :
( ~ ( difference @ SY47 @ SY48 @ SY49 )
| ( member @ SV9 @ SY49 )
| ( member @ SV9 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV10: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ( difference @ SV10 @ SY50 @ SY51 )
| ( member @ ( k @ SV10 @ SY50 @ SY51 ) @ SV10 )
| ( member @ ( k @ SV10 @ SY50 @ SY51 ) @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV11: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ~ ( member @ ( k @ SV11 @ SY52 @ SY53 ) @ SY52 )
| ( difference @ SV11 @ SY52 @ SY53 )
| ( member @ ( k @ SV11 @ SY52 @ SY53 ) @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV12: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ( member @ ( k @ SV12 @ SY54 @ SY55 ) @ SY55 )
| ~ ( member @ ( k @ SV12 @ SY54 @ SY55 ) @ SV12 )
| ( difference @ SV12 @ SY54 @ SY55 )
| ( member @ ( k @ SV12 @ SY54 @ SY55 ) @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(74,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV13: $i,SV1: $i] :
( ( ~ ( member @ SV1 @ SV13 )
| ! [SY56: $i] :
( ~ ( subset @ SV13 @ SY56 )
| ( member @ SV1 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV14: $i,SV2: $i] :
( ( ( member @ ( member_of_1_not_of_2 @ SV2 @ SV14 ) @ SV2 )
| ( subset @ SV2 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(77,plain,
! [SV15: $i,SV3: $i] :
( ( ~ ( member @ ( member_of_1_not_of_2 @ SV3 @ SV15 ) @ SV15 )
| ( subset @ SV3 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(78,plain,
! [SV16: $i,SV4: $i] :
( ( ~ ( equal_sets @ SV4 @ SV16 )
| ( subset @ SV4 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV17: $i,SV5: $i] :
( ( ~ ( equal_sets @ SV5 @ SV17 )
| ( subset @ SV17 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
! [SV18: $i,SV6: $i] :
( ( ~ ( subset @ SV6 @ SV18 )
| ~ ( subset @ SV18 @ SV6 )
| ( equal_sets @ SV18 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(81,plain,
! [SV19: $i,SV7: $i] :
( ( ! [SY57: $i] :
( ~ ( difference @ SV7 @ SV19 @ SY57 )
| ! [SY43: $i] :
( ~ ( member @ SY43 @ SY57 )
| ( member @ SY43 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV20: $i,SV8: $i] :
( ( ~ ( member @ SV8 @ SV20 )
| ! [SY59: $i] :
( ~ ( member @ SV8 @ SY59 )
| ! [SY60: $i] :
~ ( difference @ SY60 @ SV20 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ( member @ SV9 @ SV21 )
| ! [SY61: $i,SY62: $i] :
( ~ ( difference @ SV21 @ SY61 @ SY62 )
| ( member @ SV9 @ SY62 )
| ( member @ SV9 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(84,plain,
! [SV22: $i,SV10: $i] :
( ( ! [SY63: $i] :
( ( difference @ SV10 @ SV22 @ SY63 )
| ( member @ ( k @ SV10 @ SV22 @ SY63 ) @ SV10 )
| ( member @ ( k @ SV10 @ SV22 @ SY63 ) @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(85,plain,
! [SV23: $i,SV11: $i] :
( ( ! [SY64: $i] :
( ~ ( member @ ( k @ SV11 @ SV23 @ SY64 ) @ SV23 )
| ( difference @ SV11 @ SV23 @ SY64 )
| ( member @ ( k @ SV11 @ SV23 @ SY64 ) @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY65: $i] :
( ~ ( member @ ( k @ SV12 @ SV24 @ SY65 ) @ SY65 )
| ~ ( member @ ( k @ SV12 @ SV24 @ SY65 ) @ SV12 )
| ( difference @ SV12 @ SV24 @ SY65 )
| ( member @ ( k @ SV12 @ SV24 @ SY65 ) @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV13: $i,SV1: $i] :
( ( ( ~ ( member @ SV1 @ SV13 ) )
= $true )
| ( ( ! [SY56: $i] :
( ~ ( subset @ SV13 @ SY56 )
| ( member @ SV1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV14: $i,SV2: $i] :
( ( ( member @ ( member_of_1_not_of_2 @ SV2 @ SV14 ) @ SV2 )
= $true )
| ( ( subset @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV15: $i,SV3: $i] :
( ( ( ~ ( member @ ( member_of_1_not_of_2 @ SV3 @ SV15 ) @ SV15 ) )
= $true )
| ( ( subset @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV16: $i,SV4: $i] :
( ( ( ~ ( equal_sets @ SV4 @ SV16 ) )
= $true )
| ( ( subset @ SV4 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV17: $i,SV5: $i] :
( ( ( ~ ( equal_sets @ SV5 @ SV17 ) )
= $true )
| ( ( subset @ SV17 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( subset @ SV6 @ SV18 ) )
= $true )
| ( ( ~ ( subset @ SV18 @ SV6 )
| ( equal_sets @ SV18 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV25: $i,SV19: $i,SV7: $i] :
( ( ~ ( difference @ SV7 @ SV19 @ SV25 )
| ! [SY66: $i] :
( ~ ( member @ SY66 @ SV25 )
| ( member @ SY66 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV20: $i,SV8: $i] :
( ( ( ~ ( member @ SV8 @ SV20 ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( member @ SV8 @ SY59 )
| ! [SY60: $i] :
~ ( difference @ SY60 @ SV20 @ SY59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV21 ) )
= $true )
| ( ( ! [SY61: $i,SY62: $i] :
( ~ ( difference @ SV21 @ SY61 @ SY62 )
| ( member @ SV9 @ SY62 )
| ( member @ SV9 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV26: $i,SV22: $i,SV10: $i] :
( ( ( difference @ SV10 @ SV22 @ SV26 )
| ( member @ ( k @ SV10 @ SV22 @ SV26 ) @ SV10 )
| ( member @ ( k @ SV10 @ SV22 @ SV26 ) @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV27: $i,SV23: $i,SV11: $i] :
( ( ~ ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV23 )
| ( difference @ SV11 @ SV23 @ SV27 )
| ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV28: $i,SV24: $i,SV12: $i] :
( ( ~ ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV28 )
| ~ ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV12 )
| ( difference @ SV12 @ SV24 @ SV28 )
| ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV13: $i,SV1: $i] :
( ( ( member @ SV1 @ SV13 )
= $false )
| ( ( ! [SY56: $i] :
( ~ ( subset @ SV13 @ SY56 )
| ( member @ SV1 @ SY56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV15: $i,SV3: $i] :
( ( ( member @ ( member_of_1_not_of_2 @ SV3 @ SV15 ) @ SV15 )
= $false )
| ( ( subset @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV16: $i,SV4: $i] :
( ( ( equal_sets @ SV4 @ SV16 )
= $false )
| ( ( subset @ SV4 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV17: $i,SV5: $i] :
( ( ( equal_sets @ SV5 @ SV17 )
= $false )
| ( ( subset @ SV17 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV18: $i,SV6: $i] :
( ( ( subset @ SV6 @ SV18 )
= $false )
| ( ( ~ ( subset @ SV18 @ SV6 )
| ( equal_sets @ SV18 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV25: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( difference @ SV7 @ SV19 @ SV25 ) )
= $true )
| ( ( ! [SY66: $i] :
( ~ ( member @ SY66 @ SV25 )
| ( member @ SY66 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV20: $i,SV8: $i] :
( ( ( member @ SV8 @ SV20 )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( member @ SV8 @ SY59 )
| ! [SY60: $i] :
~ ( difference @ SY60 @ SV20 @ SY59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV21: $i,SV9: $i] :
( ( ( member @ SV9 @ SV21 )
= $false )
| ( ( ! [SY61: $i,SY62: $i] :
( ~ ( difference @ SV21 @ SY61 @ SY62 )
| ( member @ SV9 @ SY62 )
| ( member @ SV9 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(107,plain,
! [SV26: $i,SV22: $i,SV10: $i] :
( ( ( difference @ SV10 @ SV22 @ SV26 )
= $true )
| ( ( ( member @ ( k @ SV10 @ SV22 @ SV26 ) @ SV10 )
| ( member @ ( k @ SV10 @ SV22 @ SV26 ) @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV27: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV23 ) )
= $true )
| ( ( ( difference @ SV11 @ SV23 @ SV27 )
| ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV28: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV28 ) )
= $true )
| ( ( ~ ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV12 )
| ( difference @ SV12 @ SV24 @ SV28 )
| ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV1: $i,SV29: $i,SV13: $i] :
( ( ( ~ ( subset @ SV13 @ SV29 )
| ( member @ SV1 @ SV29 ) )
= $true )
| ( ( member @ SV1 @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(111,plain,
! [SV6: $i,SV18: $i] :
( ( ( ~ ( subset @ SV18 @ SV6 ) )
= $true )
| ( ( equal_sets @ SV18 @ SV6 )
= $true )
| ( ( subset @ SV6 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV25: $i,SV19: $i,SV7: $i] :
( ( ( difference @ SV7 @ SV19 @ SV25 )
= $false )
| ( ( ! [SY66: $i] :
( ~ ( member @ SY66 @ SV25 )
| ( member @ SY66 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV20: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( member @ SV8 @ SV30 )
| ! [SY67: $i] :
~ ( difference @ SY67 @ SV20 @ SV30 ) )
= $true )
| ( ( member @ SV8 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV9: $i,SV31: $i,SV21: $i] :
( ( ( ! [SY68: $i] :
( ~ ( difference @ SV21 @ SV31 @ SY68 )
| ( member @ SV9 @ SY68 )
| ( member @ SV9 @ SV31 ) ) )
= $true )
| ( ( member @ SV9 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV26: $i,SV22: $i,SV10: $i] :
( ( ( member @ ( k @ SV10 @ SV22 @ SV26 ) @ SV10 )
= $true )
| ( ( member @ ( k @ SV10 @ SV22 @ SV26 ) @ SV26 )
= $true )
| ( ( difference @ SV10 @ SV22 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV27: $i,SV23: $i,SV11: $i] :
( ( ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV23 )
= $false )
| ( ( ( difference @ SV11 @ SV23 @ SV27 )
| ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(117,plain,
! [SV28: $i,SV24: $i,SV12: $i] :
( ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV28 )
= $false )
| ( ( ~ ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV12 )
| ( difference @ SV12 @ SV24 @ SV28 )
| ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV1: $i,SV29: $i,SV13: $i] :
( ( ( ~ ( subset @ SV13 @ SV29 ) )
= $true )
| ( ( member @ SV1 @ SV29 )
= $true )
| ( ( member @ SV1 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV6: $i,SV18: $i] :
( ( ( subset @ SV18 @ SV6 )
= $false )
| ( ( equal_sets @ SV18 @ SV6 )
= $true )
| ( ( subset @ SV6 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV19: $i,SV7: $i,SV25: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV25 )
| ( member @ SV32 @ SV7 ) )
= $true )
| ( ( difference @ SV7 @ SV19 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV20: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( member @ SV8 @ SV30 ) )
= $true )
| ( ( ! [SY67: $i] :
~ ( difference @ SY67 @ SV20 @ SV30 ) )
= $true )
| ( ( member @ SV8 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV9: $i,SV33: $i,SV31: $i,SV21: $i] :
( ( ( ~ ( difference @ SV21 @ SV31 @ SV33 )
| ( member @ SV9 @ SV33 )
| ( member @ SV9 @ SV31 ) )
= $true )
| ( ( member @ SV9 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV27: $i,SV23: $i,SV11: $i] :
( ( ( difference @ SV11 @ SV23 @ SV27 )
= $true )
| ( ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV27 )
= $true )
| ( ( member @ ( k @ SV11 @ SV23 @ SV27 ) @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV28: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV12 ) )
= $true )
| ( ( ( difference @ SV12 @ SV24 @ SV28 )
| ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV24 ) )
= $true )
| ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV1: $i,SV29: $i,SV13: $i] :
( ( ( subset @ SV13 @ SV29 )
= $false )
| ( ( member @ SV1 @ SV29 )
= $true )
| ( ( member @ SV1 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV19: $i,SV7: $i,SV25: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV25 ) )
= $true )
| ( ( member @ SV32 @ SV7 )
= $true )
| ( ( difference @ SV7 @ SV19 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV20: $i,SV30: $i,SV8: $i] :
( ( ( member @ SV8 @ SV30 )
= $false )
| ( ( ! [SY67: $i] :
~ ( difference @ SY67 @ SV20 @ SV30 ) )
= $true )
| ( ( member @ SV8 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV9: $i,SV33: $i,SV31: $i,SV21: $i] :
( ( ( ~ ( difference @ SV21 @ SV31 @ SV33 ) )
= $true )
| ( ( ( member @ SV9 @ SV33 )
| ( member @ SV9 @ SV31 ) )
= $true )
| ( ( member @ SV9 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV28: $i,SV24: $i,SV12: $i] :
( ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV12 )
= $false )
| ( ( ( difference @ SV12 @ SV24 @ SV28 )
| ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV24 ) )
= $true )
| ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV19: $i,SV7: $i,SV25: $i,SV32: $i] :
( ( ( member @ SV32 @ SV25 )
= $false )
| ( ( member @ SV32 @ SV7 )
= $true )
| ( ( difference @ SV7 @ SV19 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV8: $i,SV30: $i,SV20: $i,SV34: $i] :
( ( ( ~ ( difference @ SV34 @ SV20 @ SV30 ) )
= $true )
| ( ( member @ SV8 @ SV30 )
= $false )
| ( ( member @ SV8 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV9: $i,SV33: $i,SV31: $i,SV21: $i] :
( ( ( difference @ SV21 @ SV31 @ SV33 )
= $false )
| ( ( ( member @ SV9 @ SV33 )
| ( member @ SV9 @ SV31 ) )
= $true )
| ( ( member @ SV9 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV28: $i,SV24: $i,SV12: $i] :
( ( ( difference @ SV12 @ SV24 @ SV28 )
= $true )
| ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV24 )
= $true )
| ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV12 )
= $false )
| ( ( member @ ( k @ SV12 @ SV24 @ SV28 ) @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(134,plain,
! [SV8: $i,SV30: $i,SV20: $i,SV34: $i] :
( ( ( difference @ SV34 @ SV20 @ SV30 )
= $false )
| ( ( member @ SV8 @ SV30 )
= $false )
| ( ( member @ SV8 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(135,plain,
! [SV21: $i,SV31: $i,SV33: $i,SV9: $i] :
( ( ( member @ SV9 @ SV33 )
= $true )
| ( ( member @ SV9 @ SV31 )
= $true )
| ( ( difference @ SV21 @ SV31 @ SV33 )
= $false )
| ( ( member @ SV9 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(136,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[45,135,134,133,130,125,123,119,115,102,101,100,88,74,61,47,46]) ).
thf(137,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n020.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
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Sun Jul 10 08:08:58 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 16
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.36 (rf:0,axioms:16,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:18,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.44
% 0.20/0.44 ********************************
% 0.20/0.44 * All subproblems solved! *
% 0.20/0.44 ********************************
% 0.20/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:136,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.44
% 0.20/0.44 %**** Beginning of derivation protocol ****
% 0.20/0.44 % SZS output start CNFRefutation
% See solution above
% 0.20/0.44
% 0.20/0.44 %**** End of derivation protocol ****
% 0.20/0.44 %**** no. of clauses in derivation: 137 ****
% 0.20/0.44 %**** clause counter: 136 ****
% 0.20/0.44
% 0.20/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:136,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------