TSTP Solution File: MSC008-1.002 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.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 : 300s
% DateTime : Mon May 22 16:35:05 EDT 2023
% Result : Unsatisfiable 1.06s 1.24s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 172 ( 94 unt; 5 typ; 0 def)
% Number of atoms : 990 ( 246 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1900 ( 229 ~; 331 |; 0 &;1340 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 594 ( 0 ^; 594 !; 0 ?; 594 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_eq,type,
eq: $i > $i > $o ).
thf(tp_greek,type,
greek: $i > $i > $i > $o ).
thf(tp_latin,type,
latin: $i > $i > $i > $o ).
thf(tp_p_1,type,
p_1: $i ).
thf(tp_p_2,type,
p_2: $i ).
thf(1,axiom,
! [Column: $i,Label: $i] :
( ( greek @ p_1 @ Column @ Label )
| ( greek @ p_2 @ Column @ Label ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
thf(2,axiom,
! [Row: $i,Label: $i] :
( ( greek @ Row @ p_1 @ Label )
| ( greek @ Row @ p_2 @ Label ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
thf(3,axiom,
! [Row: $i,Column: $i] :
( ( greek @ Row @ Column @ p_1 )
| ( greek @ Row @ Column @ p_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
thf(4,axiom,
! [Column: $i,Label: $i] :
( ( latin @ p_1 @ Column @ Label )
| ( latin @ p_2 @ Column @ Label ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
thf(5,axiom,
! [Row: $i,Label: $i] :
( ( latin @ Row @ p_1 @ Label )
| ( latin @ Row @ p_2 @ Label ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
thf(6,axiom,
! [Row: $i,Column: $i] :
( ( latin @ Row @ Column @ p_1 )
| ( latin @ Row @ Column @ p_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_cell_element) ).
thf(7,axiom,
! [Row1: $i,Column: $i,Label: $i,Row2: $i] :
( ~ ( greek @ Row1 @ Column @ Label )
| ~ ( greek @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
thf(8,axiom,
! [Row: $i,Column1: $i,Label: $i,Column2: $i] :
( ~ ( greek @ Row @ Column1 @ Label )
| ~ ( greek @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_is_unique) ).
thf(9,axiom,
! [Row: $i,Column: $i,Label1: $i,Label2: $i] :
( ~ ( greek @ Row @ Column @ Label1 )
| ~ ( greek @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
thf(10,axiom,
! [Row1: $i,Column: $i,Label: $i,Row2: $i] :
( ~ ( latin @ Row1 @ Column @ Label )
| ~ ( latin @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
thf(11,axiom,
! [Row: $i,Column1: $i,Label: $i,Column2: $i] :
( ~ ( latin @ Row @ Column1 @ Label )
| ~ ( latin @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_is_unique) ).
thf(12,axiom,
! [Row: $i,Column: $i,Label1: $i,Label2: $i] :
( ~ ( latin @ Row @ Column @ Label1 )
| ~ ( latin @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
thf(13,axiom,
! [X: $i,Y: $i] :
( ~ ( eq @ X @ Y )
| ( eq @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
thf(14,axiom,
! [X: $i] : ( eq @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(15,axiom,
~ ( eq @ p_1 @ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
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,
! [Row1: $i,Column1: $i,Label1: $i,Label2: $i,Row2: $i,Column2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Row1 @ Row2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same2) ).
thf(19,negated_conjecture,
! [Row1: $i,Column1: $i,Label1: $i,Label2: $i,Row2: $i,Column2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Column1 @ Column2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same1) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [Column: $i,Label: $i] :
( ( greek @ p_1 @ Column @ Label )
| ( greek @ p_2 @ Column @ Label ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [Row: $i,Label: $i] :
( ( greek @ Row @ p_1 @ Label )
| ( greek @ Row @ p_2 @ Label ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ! [Row: $i,Column: $i] :
( ( greek @ Row @ Column @ p_1 )
| ( greek @ Row @ Column @ p_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [Column: $i,Label: $i] :
( ( latin @ p_1 @ Column @ Label )
| ( latin @ p_2 @ Column @ Label ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [Row: $i,Label: $i] :
( ( latin @ Row @ p_1 @ Label )
| ( latin @ Row @ p_2 @ Label ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [Row: $i,Column: $i] :
( ( latin @ Row @ Column @ p_1 )
| ( latin @ Row @ Column @ p_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [Row1: $i,Column: $i,Label: $i,Row2: $i] :
( ~ ( greek @ Row1 @ Column @ Label )
| ~ ( greek @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [Row: $i,Column1: $i,Label: $i,Column2: $i] :
( ~ ( greek @ Row @ Column1 @ Label )
| ~ ( greek @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [Row: $i,Column: $i,Label1: $i,Label2: $i] :
( ~ ( greek @ Row @ Column @ Label1 )
| ~ ( greek @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [Row1: $i,Column: $i,Label: $i,Row2: $i] :
( ~ ( latin @ Row1 @ Column @ Label )
| ~ ( latin @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [Row: $i,Column1: $i,Label: $i,Column2: $i] :
( ~ ( latin @ Row @ Column1 @ Label )
| ~ ( latin @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [Row: $i,Column: $i,Label1: $i,Label2: $i] :
( ~ ( latin @ Row @ Column @ Label1 )
| ~ ( latin @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( eq @ X @ Y )
| ( eq @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [X: $i] : ( eq @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ~ ( eq @ p_1 @ p_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(36,plain,
( ( ! [Row1: $i,Column1: $i,Label1: $i,Label2: $i,Row2: $i,Column2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Row1 @ Row2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(37,plain,
( ( ! [Row1: $i,Column1: $i,Label1: $i,Label2: $i,Row2: $i,Column2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Column1 @ Column2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
~ $false = $true,
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( ! [Row1: $i,Column: $i,Label: $i] :
( ~ ( greek @ Row1 @ Column @ Label )
| ! [Row2: $i] :
( ~ ( greek @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(40,plain,
( ( ! [Row: $i,Column1: $i,Label: $i] :
( ~ ( greek @ Row @ Column1 @ Label )
| ! [Column2: $i] :
( ~ ( greek @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(41,plain,
( ( ! [Row: $i,Column: $i,Label1: $i] :
( ~ ( greek @ Row @ Column @ Label1 )
| ! [Label2: $i] :
( ~ ( greek @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(42,plain,
( ( ! [Row1: $i,Column: $i,Label: $i] :
( ~ ( latin @ Row1 @ Column @ Label )
| ! [Row2: $i] :
( ~ ( latin @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(43,plain,
( ( ! [Row: $i,Column1: $i,Label: $i] :
( ~ ( latin @ Row @ Column1 @ Label )
| ! [Column2: $i] :
( ~ ( latin @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(44,plain,
( ( ! [Row: $i,Column: $i,Label1: $i] :
( ~ ( latin @ Row @ Column @ Label1 )
| ! [Label2: $i] :
( ~ ( latin @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(45,plain,
( ( ! [Row1: $i,Column1: $i,Label1: $i,Label2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ! [Row2: $i,Column2: $i] :
( ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Row1 @ Row2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(46,plain,
( ( ! [Row1: $i,Column1: $i,Label1: $i,Label2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ! [Row2: $i,Column2: $i] :
( ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Column1 @ Column2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(47,plain,
( ( ! [Row1: $i,Column1: $i,Label1: $i,Label2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ! [Row2: $i,Column2: $i] :
( ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Column1 @ Column2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(48,plain,
( ( ! [Row1: $i,Column1: $i,Label1: $i,Label2: $i] :
( ~ ( greek @ Row1 @ Column1 @ Label1 )
| ~ ( latin @ Row1 @ Column1 @ Label2 )
| ! [Row2: $i,Column2: $i] :
( ~ ( greek @ Row2 @ Column2 @ Label1 )
| ~ ( latin @ Row2 @ Column2 @ Label2 )
| ( eq @ Row1 @ Row2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(49,plain,
( ( ~ ( eq @ p_1 @ p_2 ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(50,plain,
( ( ! [X: $i] : ( eq @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( eq @ X @ Y )
| ( eq @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(52,plain,
( ( ! [Row: $i,Column: $i,Label1: $i] :
( ~ ( latin @ Row @ Column @ Label1 )
| ! [Label2: $i] :
( ~ ( latin @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(53,plain,
( ( ! [Row: $i,Column1: $i,Label: $i] :
( ~ ( latin @ Row @ Column1 @ Label )
| ! [Column2: $i] :
( ~ ( latin @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(54,plain,
( ( ! [Row1: $i,Column: $i,Label: $i] :
( ~ ( latin @ Row1 @ Column @ Label )
| ! [Row2: $i] :
( ~ ( latin @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(55,plain,
( ( ! [Row: $i,Column: $i,Label1: $i] :
( ~ ( greek @ Row @ Column @ Label1 )
| ! [Label2: $i] :
( ~ ( greek @ Row @ Column @ Label2 )
| ( eq @ Label1 @ Label2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(56,plain,
( ( ! [Row: $i,Column1: $i,Label: $i] :
( ~ ( greek @ Row @ Column1 @ Label )
| ! [Column2: $i] :
( ~ ( greek @ Row @ Column2 @ Label )
| ( eq @ Column1 @ Column2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ! [Row1: $i,Column: $i,Label: $i] :
( ~ ( greek @ Row1 @ Column @ Label )
| ! [Row2: $i] :
( ~ ( greek @ Row2 @ Column @ Label )
| ( eq @ Row1 @ Row2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(58,plain,
( ( ! [Row: $i,Column: $i] :
( ( latin @ Row @ Column @ p_1 )
| ( latin @ Row @ Column @ p_2 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(59,plain,
( ( ! [Row: $i,Label: $i] :
( ( latin @ Row @ p_1 @ Label )
| ( latin @ Row @ p_2 @ Label ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(60,plain,
( ( ! [Column: $i,Label: $i] :
( ( latin @ p_1 @ Column @ Label )
| ( latin @ p_2 @ Column @ Label ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(61,plain,
( ( ! [Row: $i,Column: $i] :
( ( greek @ Row @ Column @ p_1 )
| ( greek @ Row @ Column @ p_2 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(62,plain,
( ( ! [Row: $i,Label: $i] :
( ( greek @ Row @ p_1 @ Label )
| ( greek @ Row @ p_2 @ Label ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(63,plain,
( ( ! [Column: $i,Label: $i] :
( ( greek @ p_1 @ Column @ Label )
| ( greek @ p_2 @ Column @ Label ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(64,plain,
~ $false = $true,
inference(copy,[status(thm)],[38]) ).
thf(65,plain,
! [SV1: $i] :
( ( ! [SY51: $i,SY52: $i,SY53: $i] :
( ~ ( greek @ SV1 @ SY51 @ SY52 )
| ~ ( latin @ SV1 @ SY51 @ SY53 )
| ! [Row2: $i,Column2: $i] :
( ~ ( greek @ Row2 @ Column2 @ SY52 )
| ~ ( latin @ Row2 @ Column2 @ SY53 )
| ( eq @ SY51 @ Column2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(66,plain,
! [SV2: $i] :
( ( ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ( greek @ SV2 @ SY56 @ SY57 )
| ~ ( latin @ SV2 @ SY56 @ SY58 )
| ! [SY59: $i,SY60: $i] :
( ~ ( greek @ SY59 @ SY60 @ SY57 )
| ~ ( latin @ SY59 @ SY60 @ SY58 )
| ( eq @ SV2 @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(67,plain,
( ( eq @ p_1 @ p_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(68,plain,
! [SV3: $i] :
( ( eq @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(69,plain,
! [SV4: $i] :
( ( ! [SY61: $i] :
( ~ ( eq @ SV4 @ SY61 )
| ( eq @ SY61 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(70,plain,
! [SV5: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ~ ( latin @ SV5 @ SY62 @ SY63 )
| ! [SY64: $i] :
( ~ ( latin @ SV5 @ SY62 @ SY64 )
| ( eq @ SY63 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(71,plain,
! [SV6: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ~ ( latin @ SV6 @ SY65 @ SY66 )
| ! [SY67: $i] :
( ~ ( latin @ SV6 @ SY67 @ SY66 )
| ( eq @ SY65 @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(72,plain,
! [SV7: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ~ ( latin @ SV7 @ SY68 @ SY69 )
| ! [SY70: $i] :
( ~ ( latin @ SY70 @ SY68 @ SY69 )
| ( eq @ SV7 @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(73,plain,
! [SV8: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ~ ( greek @ SV8 @ SY71 @ SY72 )
| ! [SY73: $i] :
( ~ ( greek @ SV8 @ SY71 @ SY73 )
| ( eq @ SY72 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(74,plain,
! [SV9: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ~ ( greek @ SV9 @ SY74 @ SY75 )
| ! [SY76: $i] :
( ~ ( greek @ SV9 @ SY76 @ SY75 )
| ( eq @ SY74 @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(75,plain,
! [SV10: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ( greek @ SV10 @ SY77 @ SY78 )
| ! [SY79: $i] :
( ~ ( greek @ SY79 @ SY77 @ SY78 )
| ( eq @ SV10 @ SY79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(76,plain,
! [SV11: $i] :
( ( ! [SY80: $i] :
( ( latin @ SV11 @ SY80 @ p_1 )
| ( latin @ SV11 @ SY80 @ p_2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(77,plain,
! [SV12: $i] :
( ( ! [SY81: $i] :
( ( latin @ SV12 @ p_1 @ SY81 )
| ( latin @ SV12 @ p_2 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(78,plain,
! [SV13: $i] :
( ( ! [SY82: $i] :
( ( latin @ p_1 @ SV13 @ SY82 )
| ( latin @ p_2 @ SV13 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(79,plain,
! [SV14: $i] :
( ( ! [SY83: $i] :
( ( greek @ SV14 @ SY83 @ p_1 )
| ( greek @ SV14 @ SY83 @ p_2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(80,plain,
! [SV15: $i] :
( ( ! [SY84: $i] :
( ( greek @ SV15 @ p_1 @ SY84 )
| ( greek @ SV15 @ p_2 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(81,plain,
! [SV16: $i] :
( ( ! [SY85: $i] :
( ( greek @ p_1 @ SV16 @ SY85 )
| ( greek @ p_2 @ SV16 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(82,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(83,plain,
! [SV17: $i,SV1: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ( greek @ SV1 @ SV17 @ SY86 )
| ~ ( latin @ SV1 @ SV17 @ SY87 )
| ! [SY88: $i,SY89: $i] :
( ~ ( greek @ SY88 @ SY89 @ SY86 )
| ~ ( latin @ SY88 @ SY89 @ SY87 )
| ( eq @ SV17 @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(84,plain,
! [SV18: $i,SV2: $i] :
( ( ! [SY90: $i,SY91: $i] :
( ~ ( greek @ SV2 @ SV18 @ SY90 )
| ~ ( latin @ SV2 @ SV18 @ SY91 )
| ! [SY59: $i,SY60: $i] :
( ~ ( greek @ SY59 @ SY60 @ SY90 )
| ~ ( latin @ SY59 @ SY60 @ SY91 )
| ( eq @ SV2 @ SY59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(85,plain,
! [SV19: $i,SV4: $i] :
( ( ~ ( eq @ SV4 @ SV19 )
| ( eq @ SV19 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(86,plain,
! [SV20: $i,SV5: $i] :
( ( ! [SY94: $i] :
( ~ ( latin @ SV5 @ SV20 @ SY94 )
| ! [SY95: $i] :
( ~ ( latin @ SV5 @ SV20 @ SY95 )
| ( eq @ SY94 @ SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(87,plain,
! [SV21: $i,SV6: $i] :
( ( ! [SY96: $i] :
( ~ ( latin @ SV6 @ SV21 @ SY96 )
| ! [SY97: $i] :
( ~ ( latin @ SV6 @ SY97 @ SY96 )
| ( eq @ SV21 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(88,plain,
! [SV22: $i,SV7: $i] :
( ( ! [SY98: $i] :
( ~ ( latin @ SV7 @ SV22 @ SY98 )
| ! [SY99: $i] :
( ~ ( latin @ SY99 @ SV22 @ SY98 )
| ( eq @ SV7 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(89,plain,
! [SV23: $i,SV8: $i] :
( ( ! [SY100: $i] :
( ~ ( greek @ SV8 @ SV23 @ SY100 )
| ! [SY101: $i] :
( ~ ( greek @ SV8 @ SV23 @ SY101 )
| ( eq @ SY100 @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(90,plain,
! [SV24: $i,SV9: $i] :
( ( ! [SY102: $i] :
( ~ ( greek @ SV9 @ SV24 @ SY102 )
| ! [SY103: $i] :
( ~ ( greek @ SV9 @ SY103 @ SY102 )
| ( eq @ SV24 @ SY103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(91,plain,
! [SV25: $i,SV10: $i] :
( ( ! [SY104: $i] :
( ~ ( greek @ SV10 @ SV25 @ SY104 )
| ! [SY105: $i] :
( ~ ( greek @ SY105 @ SV25 @ SY104 )
| ( eq @ SV10 @ SY105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(92,plain,
! [SV26: $i,SV11: $i] :
( ( ( latin @ SV11 @ SV26 @ p_1 )
| ( latin @ SV11 @ SV26 @ p_2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(93,plain,
! [SV27: $i,SV12: $i] :
( ( ( latin @ SV12 @ p_1 @ SV27 )
| ( latin @ SV12 @ p_2 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(94,plain,
! [SV28: $i,SV13: $i] :
( ( ( latin @ p_1 @ SV13 @ SV28 )
| ( latin @ p_2 @ SV13 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(95,plain,
! [SV29: $i,SV14: $i] :
( ( ( greek @ SV14 @ SV29 @ p_1 )
| ( greek @ SV14 @ SV29 @ p_2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(96,plain,
! [SV30: $i,SV15: $i] :
( ( ( greek @ SV15 @ p_1 @ SV30 )
| ( greek @ SV15 @ p_2 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(97,plain,
! [SV31: $i,SV16: $i] :
( ( ( greek @ p_1 @ SV16 @ SV31 )
| ( greek @ p_2 @ SV16 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(98,plain,
! [SV32: $i,SV17: $i,SV1: $i] :
( ( ! [SY106: $i] :
( ~ ( greek @ SV1 @ SV17 @ SV32 )
| ~ ( latin @ SV1 @ SV17 @ SY106 )
| ! [SY107: $i,SY108: $i] :
( ~ ( greek @ SY107 @ SY108 @ SV32 )
| ~ ( latin @ SY107 @ SY108 @ SY106 )
| ( eq @ SV17 @ SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV33: $i,SV18: $i,SV2: $i] :
( ( ! [SY109: $i] :
( ~ ( greek @ SV2 @ SV18 @ SV33 )
| ~ ( latin @ SV2 @ SV18 @ SY109 )
| ! [SY110: $i,SY111: $i] :
( ~ ( greek @ SY110 @ SY111 @ SV33 )
| ~ ( latin @ SY110 @ SY111 @ SY109 )
| ( eq @ SV2 @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV19: $i,SV4: $i] :
( ( ( ~ ( eq @ SV4 @ SV19 ) )
= $true )
| ( ( eq @ SV19 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ~ ( latin @ SV5 @ SV20 @ SV34 )
| ! [SY112: $i] :
( ~ ( latin @ SV5 @ SV20 @ SY112 )
| ( eq @ SV34 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(102,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ~ ( latin @ SV6 @ SV21 @ SV35 )
| ! [SY113: $i] :
( ~ ( latin @ SV6 @ SY113 @ SV35 )
| ( eq @ SV21 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ~ ( latin @ SV7 @ SV22 @ SV36 )
| ! [SY114: $i] :
( ~ ( latin @ SY114 @ SV22 @ SV36 )
| ( eq @ SV7 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(104,plain,
! [SV37: $i,SV23: $i,SV8: $i] :
( ( ~ ( greek @ SV8 @ SV23 @ SV37 )
| ! [SY115: $i] :
( ~ ( greek @ SV8 @ SV23 @ SY115 )
| ( eq @ SV37 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV38: $i,SV24: $i,SV9: $i] :
( ( ~ ( greek @ SV9 @ SV24 @ SV38 )
| ! [SY116: $i] :
( ~ ( greek @ SV9 @ SY116 @ SV38 )
| ( eq @ SV24 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV39: $i,SV25: $i,SV10: $i] :
( ( ~ ( greek @ SV10 @ SV25 @ SV39 )
| ! [SY117: $i] :
( ~ ( greek @ SY117 @ SV25 @ SV39 )
| ( eq @ SV10 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV26: $i,SV11: $i] :
( ( ( latin @ SV11 @ SV26 @ p_1 )
= $true )
| ( ( latin @ SV11 @ SV26 @ p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(108,plain,
! [SV27: $i,SV12: $i] :
( ( ( latin @ SV12 @ p_1 @ SV27 )
= $true )
| ( ( latin @ SV12 @ p_2 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(109,plain,
! [SV28: $i,SV13: $i] :
( ( ( latin @ p_1 @ SV13 @ SV28 )
= $true )
| ( ( latin @ p_2 @ SV13 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV29: $i,SV14: $i] :
( ( ( greek @ SV14 @ SV29 @ p_1 )
= $true )
| ( ( greek @ SV14 @ SV29 @ p_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(111,plain,
! [SV30: $i,SV15: $i] :
( ( ( greek @ SV15 @ p_1 @ SV30 )
= $true )
| ( ( greek @ SV15 @ p_2 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV31: $i,SV16: $i] :
( ( ( greek @ p_1 @ SV16 @ SV31 )
= $true )
| ( ( greek @ p_2 @ SV16 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(113,plain,
! [SV40: $i,SV32: $i,SV17: $i,SV1: $i] :
( ( ~ ( greek @ SV1 @ SV17 @ SV32 )
| ~ ( latin @ SV1 @ SV17 @ SV40 )
| ! [SY118: $i,SY119: $i] :
( ~ ( greek @ SY118 @ SY119 @ SV32 )
| ~ ( latin @ SY118 @ SY119 @ SV40 )
| ( eq @ SV17 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(114,plain,
! [SV41: $i,SV33: $i,SV18: $i,SV2: $i] :
( ( ~ ( greek @ SV2 @ SV18 @ SV33 )
| ~ ( latin @ SV2 @ SV18 @ SV41 )
| ! [SY120: $i,SY121: $i] :
( ~ ( greek @ SY120 @ SY121 @ SV33 )
| ~ ( latin @ SY120 @ SY121 @ SV41 )
| ( eq @ SV2 @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(115,plain,
! [SV19: $i,SV4: $i] :
( ( ( eq @ SV4 @ SV19 )
= $false )
| ( ( eq @ SV19 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(116,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( latin @ SV5 @ SV20 @ SV34 ) )
= $true )
| ( ( ! [SY112: $i] :
( ~ ( latin @ SV5 @ SV20 @ SY112 )
| ( eq @ SV34 @ SY112 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(117,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( latin @ SV6 @ SV21 @ SV35 ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( latin @ SV6 @ SY113 @ SV35 )
| ( eq @ SV21 @ SY113 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(118,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( latin @ SV7 @ SV22 @ SV36 ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( latin @ SY114 @ SV22 @ SV36 )
| ( eq @ SV7 @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(119,plain,
! [SV37: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( greek @ SV8 @ SV23 @ SV37 ) )
= $true )
| ( ( ! [SY115: $i] :
( ~ ( greek @ SV8 @ SV23 @ SY115 )
| ( eq @ SV37 @ SY115 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(120,plain,
! [SV38: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( greek @ SV9 @ SV24 @ SV38 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( greek @ SV9 @ SY116 @ SV38 )
| ( eq @ SV24 @ SY116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(121,plain,
! [SV39: $i,SV25: $i,SV10: $i] :
( ( ( ~ ( greek @ SV10 @ SV25 @ SV39 ) )
= $true )
| ( ( ! [SY117: $i] :
( ~ ( greek @ SY117 @ SV25 @ SV39 )
| ( eq @ SV10 @ SY117 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(122,plain,
! [SV40: $i,SV32: $i,SV17: $i,SV1: $i] :
( ( ( ~ ( greek @ SV1 @ SV17 @ SV32 ) )
= $true )
| ( ( ~ ( latin @ SV1 @ SV17 @ SV40 )
| ! [SY118: $i,SY119: $i] :
( ~ ( greek @ SY118 @ SY119 @ SV32 )
| ~ ( latin @ SY118 @ SY119 @ SV40 )
| ( eq @ SV17 @ SY119 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV41: $i,SV33: $i,SV18: $i,SV2: $i] :
( ( ( ~ ( greek @ SV2 @ SV18 @ SV33 ) )
= $true )
| ( ( ~ ( latin @ SV2 @ SV18 @ SV41 )
| ! [SY120: $i,SY121: $i] :
( ~ ( greek @ SY120 @ SY121 @ SV33 )
| ~ ( latin @ SY120 @ SY121 @ SV41 )
| ( eq @ SV2 @ SY120 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV34: $i,SV20: $i,SV5: $i] :
( ( ( latin @ SV5 @ SV20 @ SV34 )
= $false )
| ( ( ! [SY112: $i] :
( ~ ( latin @ SV5 @ SV20 @ SY112 )
| ( eq @ SV34 @ SY112 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV35: $i,SV21: $i,SV6: $i] :
( ( ( latin @ SV6 @ SV21 @ SV35 )
= $false )
| ( ( ! [SY113: $i] :
( ~ ( latin @ SV6 @ SY113 @ SV35 )
| ( eq @ SV21 @ SY113 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV36: $i,SV22: $i,SV7: $i] :
( ( ( latin @ SV7 @ SV22 @ SV36 )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( latin @ SY114 @ SV22 @ SV36 )
| ( eq @ SV7 @ SY114 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV37: $i,SV23: $i,SV8: $i] :
( ( ( greek @ SV8 @ SV23 @ SV37 )
= $false )
| ( ( ! [SY115: $i] :
( ~ ( greek @ SV8 @ SV23 @ SY115 )
| ( eq @ SV37 @ SY115 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(128,plain,
! [SV38: $i,SV24: $i,SV9: $i] :
( ( ( greek @ SV9 @ SV24 @ SV38 )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( greek @ SV9 @ SY116 @ SV38 )
| ( eq @ SV24 @ SY116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(129,plain,
! [SV39: $i,SV25: $i,SV10: $i] :
( ( ( greek @ SV10 @ SV25 @ SV39 )
= $false )
| ( ( ! [SY117: $i] :
( ~ ( greek @ SY117 @ SV25 @ SV39 )
| ( eq @ SV10 @ SY117 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(130,plain,
! [SV40: $i,SV32: $i,SV17: $i,SV1: $i] :
( ( ( greek @ SV1 @ SV17 @ SV32 )
= $false )
| ( ( ~ ( latin @ SV1 @ SV17 @ SV40 )
| ! [SY118: $i,SY119: $i] :
( ~ ( greek @ SY118 @ SY119 @ SV32 )
| ~ ( latin @ SY118 @ SY119 @ SV40 )
| ( eq @ SV17 @ SY119 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(131,plain,
! [SV41: $i,SV33: $i,SV18: $i,SV2: $i] :
( ( ( greek @ SV2 @ SV18 @ SV33 )
= $false )
| ( ( ~ ( latin @ SV2 @ SV18 @ SV41 )
| ! [SY120: $i,SY121: $i] :
( ~ ( greek @ SY120 @ SY121 @ SV33 )
| ~ ( latin @ SY120 @ SY121 @ SV41 )
| ( eq @ SV2 @ SY120 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(132,plain,
! [SV34: $i,SV42: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( latin @ SV5 @ SV20 @ SV42 )
| ( eq @ SV34 @ SV42 ) )
= $true )
| ( ( latin @ SV5 @ SV20 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(133,plain,
! [SV21: $i,SV35: $i,SV43: $i,SV6: $i] :
( ( ( ~ ( latin @ SV6 @ SV43 @ SV35 )
| ( eq @ SV21 @ SV43 ) )
= $true )
| ( ( latin @ SV6 @ SV21 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(134,plain,
! [SV7: $i,SV36: $i,SV22: $i,SV44: $i] :
( ( ( ~ ( latin @ SV44 @ SV22 @ SV36 )
| ( eq @ SV7 @ SV44 ) )
= $true )
| ( ( latin @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(135,plain,
! [SV37: $i,SV45: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( greek @ SV8 @ SV23 @ SV45 )
| ( eq @ SV37 @ SV45 ) )
= $true )
| ( ( greek @ SV8 @ SV23 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV24: $i,SV38: $i,SV46: $i,SV9: $i] :
( ( ( ~ ( greek @ SV9 @ SV46 @ SV38 )
| ( eq @ SV24 @ SV46 ) )
= $true )
| ( ( greek @ SV9 @ SV24 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(137,plain,
! [SV10: $i,SV39: $i,SV25: $i,SV47: $i] :
( ( ( ~ ( greek @ SV47 @ SV25 @ SV39 )
| ( eq @ SV10 @ SV47 ) )
= $true )
| ( ( greek @ SV10 @ SV25 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV32: $i,SV40: $i,SV17: $i,SV1: $i] :
( ( ( ~ ( latin @ SV1 @ SV17 @ SV40 ) )
= $true )
| ( ( ! [SY118: $i,SY119: $i] :
( ~ ( greek @ SY118 @ SY119 @ SV32 )
| ~ ( latin @ SY118 @ SY119 @ SV40 )
| ( eq @ SV17 @ SY119 ) ) )
= $true )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(139,plain,
! [SV33: $i,SV41: $i,SV18: $i,SV2: $i] :
( ( ( ~ ( latin @ SV2 @ SV18 @ SV41 ) )
= $true )
| ( ( ! [SY120: $i,SY121: $i] :
( ~ ( greek @ SY120 @ SY121 @ SV33 )
| ~ ( latin @ SY120 @ SY121 @ SV41 )
| ( eq @ SV2 @ SY120 ) ) )
= $true )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(140,plain,
! [SV34: $i,SV42: $i,SV20: $i,SV5: $i] :
( ( ( ~ ( latin @ SV5 @ SV20 @ SV42 ) )
= $true )
| ( ( eq @ SV34 @ SV42 )
= $true )
| ( ( latin @ SV5 @ SV20 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(141,plain,
! [SV21: $i,SV35: $i,SV43: $i,SV6: $i] :
( ( ( ~ ( latin @ SV6 @ SV43 @ SV35 ) )
= $true )
| ( ( eq @ SV21 @ SV43 )
= $true )
| ( ( latin @ SV6 @ SV21 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV7: $i,SV36: $i,SV22: $i,SV44: $i] :
( ( ( ~ ( latin @ SV44 @ SV22 @ SV36 ) )
= $true )
| ( ( eq @ SV7 @ SV44 )
= $true )
| ( ( latin @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV37: $i,SV45: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( greek @ SV8 @ SV23 @ SV45 ) )
= $true )
| ( ( eq @ SV37 @ SV45 )
= $true )
| ( ( greek @ SV8 @ SV23 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV24: $i,SV38: $i,SV46: $i,SV9: $i] :
( ( ( ~ ( greek @ SV9 @ SV46 @ SV38 ) )
= $true )
| ( ( eq @ SV24 @ SV46 )
= $true )
| ( ( greek @ SV9 @ SV24 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV10: $i,SV39: $i,SV25: $i,SV47: $i] :
( ( ( ~ ( greek @ SV47 @ SV25 @ SV39 ) )
= $true )
| ( ( eq @ SV10 @ SV47 )
= $true )
| ( ( greek @ SV10 @ SV25 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV32: $i,SV40: $i,SV17: $i,SV1: $i] :
( ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( ! [SY118: $i,SY119: $i] :
( ~ ( greek @ SY118 @ SY119 @ SV32 )
| ~ ( latin @ SY118 @ SY119 @ SV40 )
| ( eq @ SV17 @ SY119 ) ) )
= $true )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV33: $i,SV41: $i,SV18: $i,SV2: $i] :
( ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( ! [SY120: $i,SY121: $i] :
( ~ ( greek @ SY120 @ SY121 @ SV33 )
| ~ ( latin @ SY120 @ SY121 @ SV41 )
| ( eq @ SV2 @ SY120 ) ) )
= $true )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV34: $i,SV42: $i,SV20: $i,SV5: $i] :
( ( ( latin @ SV5 @ SV20 @ SV42 )
= $false )
| ( ( eq @ SV34 @ SV42 )
= $true )
| ( ( latin @ SV5 @ SV20 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV21: $i,SV35: $i,SV43: $i,SV6: $i] :
( ( ( latin @ SV6 @ SV43 @ SV35 )
= $false )
| ( ( eq @ SV21 @ SV43 )
= $true )
| ( ( latin @ SV6 @ SV21 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV7: $i,SV36: $i,SV22: $i,SV44: $i] :
( ( ( latin @ SV44 @ SV22 @ SV36 )
= $false )
| ( ( eq @ SV7 @ SV44 )
= $true )
| ( ( latin @ SV7 @ SV22 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(151,plain,
! [SV37: $i,SV45: $i,SV23: $i,SV8: $i] :
( ( ( greek @ SV8 @ SV23 @ SV45 )
= $false )
| ( ( eq @ SV37 @ SV45 )
= $true )
| ( ( greek @ SV8 @ SV23 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(152,plain,
! [SV24: $i,SV38: $i,SV46: $i,SV9: $i] :
( ( ( greek @ SV9 @ SV46 @ SV38 )
= $false )
| ( ( eq @ SV24 @ SV46 )
= $true )
| ( ( greek @ SV9 @ SV24 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(153,plain,
! [SV10: $i,SV39: $i,SV25: $i,SV47: $i] :
( ( ( greek @ SV47 @ SV25 @ SV39 )
= $false )
| ( ( eq @ SV10 @ SV47 )
= $true )
| ( ( greek @ SV10 @ SV25 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(154,plain,
! [SV1: $i,SV17: $i,SV40: $i,SV32: $i,SV48: $i] :
( ( ( ! [SY122: $i] :
( ~ ( greek @ SV48 @ SY122 @ SV32 )
| ~ ( latin @ SV48 @ SY122 @ SV40 )
| ( eq @ SV17 @ SY122 ) ) )
= $true )
| ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(155,plain,
! [SV18: $i,SV2: $i,SV41: $i,SV33: $i,SV49: $i] :
( ( ( ! [SY123: $i] :
( ~ ( greek @ SV49 @ SY123 @ SV33 )
| ~ ( latin @ SV49 @ SY123 @ SV41 )
| ( eq @ SV2 @ SV49 ) ) )
= $true )
| ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(156,plain,
! [SV1: $i,SV17: $i,SV40: $i,SV32: $i,SV50: $i,SV48: $i] :
( ( ( ~ ( greek @ SV48 @ SV50 @ SV32 )
| ~ ( latin @ SV48 @ SV50 @ SV40 )
| ( eq @ SV17 @ SV50 ) )
= $true )
| ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(157,plain,
! [SV18: $i,SV2: $i,SV41: $i,SV33: $i,SV51: $i,SV49: $i] :
( ( ( ~ ( greek @ SV49 @ SV51 @ SV33 )
| ~ ( latin @ SV49 @ SV51 @ SV41 )
| ( eq @ SV2 @ SV49 ) )
= $true )
| ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(158,plain,
! [SV1: $i,SV17: $i,SV40: $i,SV32: $i,SV50: $i,SV48: $i] :
( ( ( ~ ( greek @ SV48 @ SV50 @ SV32 ) )
= $true )
| ( ( ~ ( latin @ SV48 @ SV50 @ SV40 )
| ( eq @ SV17 @ SV50 ) )
= $true )
| ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(159,plain,
! [SV18: $i,SV2: $i,SV41: $i,SV33: $i,SV51: $i,SV49: $i] :
( ( ( ~ ( greek @ SV49 @ SV51 @ SV33 ) )
= $true )
| ( ( ~ ( latin @ SV49 @ SV51 @ SV41 )
| ( eq @ SV2 @ SV49 ) )
= $true )
| ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(160,plain,
! [SV1: $i,SV17: $i,SV40: $i,SV32: $i,SV50: $i,SV48: $i] :
( ( ( greek @ SV48 @ SV50 @ SV32 )
= $false )
| ( ( ~ ( latin @ SV48 @ SV50 @ SV40 )
| ( eq @ SV17 @ SV50 ) )
= $true )
| ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(161,plain,
! [SV18: $i,SV2: $i,SV41: $i,SV33: $i,SV51: $i,SV49: $i] :
( ( ( greek @ SV49 @ SV51 @ SV33 )
= $false )
| ( ( ~ ( latin @ SV49 @ SV51 @ SV41 )
| ( eq @ SV2 @ SV49 ) )
= $true )
| ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(162,plain,
! [SV1: $i,SV32: $i,SV17: $i,SV40: $i,SV50: $i,SV48: $i] :
( ( ( ~ ( latin @ SV48 @ SV50 @ SV40 ) )
= $true )
| ( ( eq @ SV17 @ SV50 )
= $true )
| ( ( greek @ SV48 @ SV50 @ SV32 )
= $false )
| ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(163,plain,
! [SV18: $i,SV33: $i,SV2: $i,SV41: $i,SV51: $i,SV49: $i] :
( ( ( ~ ( latin @ SV49 @ SV51 @ SV41 ) )
= $true )
| ( ( eq @ SV2 @ SV49 )
= $true )
| ( ( greek @ SV49 @ SV51 @ SV33 )
= $false )
| ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(164,plain,
! [SV1: $i,SV32: $i,SV17: $i,SV40: $i,SV50: $i,SV48: $i] :
( ( ( latin @ SV48 @ SV50 @ SV40 )
= $false )
| ( ( eq @ SV17 @ SV50 )
= $true )
| ( ( greek @ SV48 @ SV50 @ SV32 )
= $false )
| ( ( latin @ SV1 @ SV17 @ SV40 )
= $false )
| ( ( greek @ SV1 @ SV17 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(165,plain,
! [SV18: $i,SV33: $i,SV2: $i,SV41: $i,SV51: $i,SV49: $i] :
( ( ( latin @ SV49 @ SV51 @ SV41 )
= $false )
| ( ( eq @ SV2 @ SV49 )
= $true )
| ( ( greek @ SV49 @ SV51 @ SV33 )
= $false )
| ( ( latin @ SV2 @ SV18 @ SV41 )
= $false )
| ( ( greek @ SV2 @ SV18 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(166,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[67,165,164,153,152,151,150,149,148,115,112,111,110,109,108,107,82,68]) ).
thf(167,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 22 17:01:12 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.35
% 0.18/0.35 No.of.Axioms: 17
% 0.18/0.35
% 0.18/0.35 Length.of.Defs: 0
% 0.18/0.35
% 0.18/0.35 Contains.Choice.Funs: false
% 0.18/0.36 (rf:0,axioms:17,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:19,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 1.06/1.24
% 1.06/1.24 ********************************
% 1.06/1.24 * All subproblems solved! *
% 1.06/1.24 ********************************
% 1.06/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:166,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.06/1.25
% 1.06/1.25 %**** Beginning of derivation protocol ****
% 1.06/1.25 % SZS output start CNFRefutation
% See solution above
% 1.06/1.25
% 1.06/1.25 %**** End of derivation protocol ****
% 1.06/1.25 %**** no. of clauses in derivation: 167 ****
% 1.06/1.25 %**** clause counter: 166 ****
% 1.06/1.25
% 1.06/1.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:17,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:166,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------