TSTP Solution File: MSC008-2.002 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC008-2.002 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:50:23 EDT 2022
% Result : Unsatisfiable 19.36s 19.63s
% Output : CNFRefutation 19.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 155 ( 87 unt; 5 typ; 0 def)
% Number of atoms : 854 ( 211 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1599 ( 177 ~; 282 |; 0 &;1140 @)
% ( 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 : 492 ( 0 ^ 492 !; 0 ?; 492 :)
% 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_p1,type,
p1: $i ).
thf(tp_p2,type,
p2: $i ).
thf(1,axiom,
! [O: $i,P: $i] :
( ( greek @ p1 @ O @ P )
| ( greek @ p2 @ O @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
thf(2,axiom,
! [M: $i,N: $i] :
( ( greek @ M @ p1 @ N )
| ( greek @ M @ p2 @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
thf(3,axiom,
! [K: $i,L: $i] :
( ( greek @ K @ L @ p1 )
| ( greek @ K @ L @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
thf(4,axiom,
! [I: $i,J: $i] :
( ( latin @ p1 @ I @ J )
| ( latin @ p2 @ I @ J ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
thf(5,axiom,
! [G: $i,H: $i] :
( ( latin @ G @ p1 @ H )
| ( latin @ G @ p2 @ H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
thf(6,axiom,
! [E: $i,F: $i] :
( ( latin @ E @ F @ p1 )
| ( latin @ E @ F @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_cell_element) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ D @ B @ C )
| ( eq @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ D @ C )
| ( eq @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_is_unique) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ B @ D )
| ( eq @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ D @ B @ C )
| ( eq @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ D @ C )
| ( eq @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_is_unique) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ( eq @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ~ ( eq @ A @ B )
| ( eq @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
thf(14,axiom,
! [A: $i] : ( eq @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(15,axiom,
~ ( eq @ p1 @ p2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1_is_not_p2) ).
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,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ F @ B )
| ( eq @ E @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same) ).
thf(19,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [O: $i,P: $i] :
( ( greek @ p1 @ O @ P )
| ( greek @ p2 @ O @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( ! [M: $i,N: $i] :
( ( greek @ M @ p1 @ N )
| ( greek @ M @ p2 @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [K: $i,L: $i] :
( ( greek @ K @ L @ p1 )
| ( greek @ K @ L @ p2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [I: $i,J: $i] :
( ( latin @ p1 @ I @ J )
| ( latin @ p2 @ I @ J ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [G: $i,H: $i] :
( ( latin @ G @ p1 @ H )
| ( latin @ G @ p2 @ H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ! [E: $i,F: $i] :
( ( latin @ E @ F @ p1 )
| ( latin @ E @ F @ p2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ D @ B @ C )
| ( eq @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ D @ C )
| ( eq @ D @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ B @ D )
| ( eq @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ D @ B @ C )
| ( eq @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ D @ C )
| ( eq @ D @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ( eq @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ~ ( eq @ A @ B )
| ( eq @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ! [A: $i] : ( eq @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( ~ ( eq @ p1 @ p2 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ F @ B )
| ( eq @ E @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(37,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greek @ A @ B @ C )
| ! [D: $i] :
( ~ ( greek @ D @ B @ C )
| ( eq @ D @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greek @ A @ B @ C )
| ! [D: $i] :
( ~ ( greek @ A @ D @ C )
| ( eq @ D @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greek @ A @ B @ C )
| ! [D: $i] :
( ~ ( greek @ A @ B @ D )
| ( eq @ D @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( latin @ A @ B @ C )
| ! [D: $i] :
( ~ ( latin @ D @ B @ C )
| ( eq @ D @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( latin @ A @ B @ C )
| ! [D: $i] :
( ~ ( latin @ A @ D @ C )
| ( eq @ D @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(42,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( latin @ A @ B @ C )
| ! [D: $i] :
( ~ ( latin @ A @ B @ D )
| ( eq @ D @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(43,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ! [E: $i,F: $i] :
( ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ F @ B )
| ( eq @ E @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(44,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ! [E: $i,F: $i] :
( ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ F @ B )
| ( eq @ E @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(45,plain,
( ( ~ ( eq @ p1 @ p2 ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(46,plain,
( ( ! [A: $i] : ( eq @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ~ ( eq @ A @ B )
| ( eq @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( latin @ A @ B @ C )
| ! [D: $i] :
( ~ ( latin @ A @ B @ D )
| ( eq @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( latin @ A @ B @ C )
| ! [D: $i] :
( ~ ( latin @ A @ D @ C )
| ( eq @ D @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( latin @ A @ B @ C )
| ! [D: $i] :
( ~ ( latin @ D @ B @ C )
| ( eq @ D @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(51,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greek @ A @ B @ C )
| ! [D: $i] :
( ~ ( greek @ A @ B @ D )
| ( eq @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(52,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greek @ A @ B @ C )
| ! [D: $i] :
( ~ ( greek @ A @ D @ C )
| ( eq @ D @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( greek @ A @ B @ C )
| ! [D: $i] :
( ~ ( greek @ D @ B @ C )
| ( eq @ D @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(54,plain,
( ( ! [E: $i,F: $i] :
( ( latin @ E @ F @ p1 )
| ( latin @ E @ F @ p2 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(55,plain,
( ( ! [G: $i,H: $i] :
( ( latin @ G @ p1 @ H )
| ( latin @ G @ p2 @ H ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(56,plain,
( ( ! [I: $i,J: $i] :
( ( latin @ p1 @ I @ J )
| ( latin @ p2 @ I @ J ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(57,plain,
( ( ! [K: $i,L: $i] :
( ( greek @ K @ L @ p1 )
| ( greek @ K @ L @ p2 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(58,plain,
( ( ! [M: $i,N: $i] :
( ( greek @ M @ p1 @ N )
| ( greek @ M @ p2 @ N ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(59,plain,
( ( ! [O: $i,P: $i] :
( ( greek @ p1 @ O @ P )
| ( greek @ p2 @ O @ P ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(60,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i] :
( ~ ( greek @ SV1 @ SY45 @ SY46 )
| ~ ( latin @ SV1 @ SY45 @ SY47 )
| ! [SY48: $i,SY49: $i] :
( ~ ( greek @ SY48 @ SY49 @ SY46 )
| ~ ( latin @ SY48 @ SY49 @ SY47 )
| ( eq @ SY49 @ SY45 )
| ( eq @ SY48 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(62,plain,
( ( eq @ p1 @ p2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(63,plain,
! [SV2: $i] :
( ( eq @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(64,plain,
! [SV3: $i] :
( ( ! [SY50: $i] :
( ~ ( eq @ SV3 @ SY50 )
| ( eq @ SY50 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(65,plain,
! [SV4: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( latin @ SV4 @ SY51 @ SY52 )
| ! [SY53: $i] :
( ~ ( latin @ SV4 @ SY51 @ SY53 )
| ( eq @ SY53 @ SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ( latin @ SV5 @ SY54 @ SY55 )
| ! [SY56: $i] :
( ~ ( latin @ SV5 @ SY56 @ SY55 )
| ( eq @ SY56 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(67,plain,
! [SV6: $i] :
( ( ! [SY57: $i,SY58: $i] :
( ~ ( latin @ SV6 @ SY57 @ SY58 )
| ! [SY59: $i] :
( ~ ( latin @ SY59 @ SY57 @ SY58 )
| ( eq @ SY59 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(68,plain,
! [SV7: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( greek @ SV7 @ SY60 @ SY61 )
| ! [SY62: $i] :
( ~ ( greek @ SV7 @ SY60 @ SY62 )
| ( eq @ SY62 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV8: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ( greek @ SV8 @ SY63 @ SY64 )
| ! [SY65: $i] :
( ~ ( greek @ SV8 @ SY65 @ SY64 )
| ( eq @ SY65 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(70,plain,
! [SV9: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ( greek @ SV9 @ SY66 @ SY67 )
| ! [SY68: $i] :
( ~ ( greek @ SY68 @ SY66 @ SY67 )
| ( eq @ SY68 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(71,plain,
! [SV10: $i] :
( ( ! [SY69: $i] :
( ( latin @ SV10 @ SY69 @ p1 )
| ( latin @ SV10 @ SY69 @ p2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(72,plain,
! [SV11: $i] :
( ( ! [SY70: $i] :
( ( latin @ SV11 @ p1 @ SY70 )
| ( latin @ SV11 @ p2 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(73,plain,
! [SV12: $i] :
( ( ! [SY71: $i] :
( ( latin @ p1 @ SV12 @ SY71 )
| ( latin @ p2 @ SV12 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(74,plain,
! [SV13: $i] :
( ( ! [SY72: $i] :
( ( greek @ SV13 @ SY72 @ p1 )
| ( greek @ SV13 @ SY72 @ p2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(75,plain,
! [SV14: $i] :
( ( ! [SY73: $i] :
( ( greek @ SV14 @ p1 @ SY73 )
| ( greek @ SV14 @ p2 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV15: $i] :
( ( ! [SY74: $i] :
( ( greek @ p1 @ SV15 @ SY74 )
| ( greek @ p2 @ SV15 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(78,plain,
! [SV16: $i,SV1: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ( greek @ SV1 @ SV16 @ SY75 )
| ~ ( latin @ SV1 @ SV16 @ SY76 )
| ! [SY77: $i,SY78: $i] :
( ~ ( greek @ SY77 @ SY78 @ SY75 )
| ~ ( latin @ SY77 @ SY78 @ SY76 )
| ( eq @ SY78 @ SV16 )
| ( eq @ SY77 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(79,plain,
! [SV17: $i,SV3: $i] :
( ( ~ ( eq @ SV3 @ SV17 )
| ( eq @ SV17 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(80,plain,
! [SV18: $i,SV4: $i] :
( ( ! [SY79: $i] :
( ~ ( latin @ SV4 @ SV18 @ SY79 )
| ! [SY80: $i] :
( ~ ( latin @ SV4 @ SV18 @ SY80 )
| ( eq @ SY80 @ SY79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV19: $i,SV5: $i] :
( ( ! [SY81: $i] :
( ~ ( latin @ SV5 @ SV19 @ SY81 )
| ! [SY82: $i] :
( ~ ( latin @ SV5 @ SY82 @ SY81 )
| ( eq @ SY82 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV20: $i,SV6: $i] :
( ( ! [SY83: $i] :
( ~ ( latin @ SV6 @ SV20 @ SY83 )
| ! [SY84: $i] :
( ~ ( latin @ SY84 @ SV20 @ SY83 )
| ( eq @ SY84 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV21: $i,SV7: $i] :
( ( ! [SY85: $i] :
( ~ ( greek @ SV7 @ SV21 @ SY85 )
| ! [SY86: $i] :
( ~ ( greek @ SV7 @ SV21 @ SY86 )
| ( eq @ SY86 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV22: $i,SV8: $i] :
( ( ! [SY87: $i] :
( ~ ( greek @ SV8 @ SV22 @ SY87 )
| ! [SY88: $i] :
( ~ ( greek @ SV8 @ SY88 @ SY87 )
| ( eq @ SY88 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY89: $i] :
( ~ ( greek @ SV9 @ SV23 @ SY89 )
| ! [SY90: $i] :
( ~ ( greek @ SY90 @ SV23 @ SY89 )
| ( eq @ SY90 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV24: $i,SV10: $i] :
( ( ( latin @ SV10 @ SV24 @ p1 )
| ( latin @ SV10 @ SV24 @ p2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV25: $i,SV11: $i] :
( ( ( latin @ SV11 @ p1 @ SV25 )
| ( latin @ SV11 @ p2 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(88,plain,
! [SV26: $i,SV12: $i] :
( ( ( latin @ p1 @ SV12 @ SV26 )
| ( latin @ p2 @ SV12 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV27: $i,SV13: $i] :
( ( ( greek @ SV13 @ SV27 @ p1 )
| ( greek @ SV13 @ SV27 @ p2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV28: $i,SV14: $i] :
( ( ( greek @ SV14 @ p1 @ SV28 )
| ( greek @ SV14 @ p2 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV29: $i,SV15: $i] :
( ( ( greek @ p1 @ SV15 @ SV29 )
| ( greek @ p2 @ SV15 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV30: $i,SV16: $i,SV1: $i] :
( ( ! [SY91: $i] :
( ~ ( greek @ SV1 @ SV16 @ SV30 )
| ~ ( latin @ SV1 @ SV16 @ SY91 )
| ! [SY92: $i,SY93: $i] :
( ~ ( greek @ SY92 @ SY93 @ SV30 )
| ~ ( latin @ SY92 @ SY93 @ SY91 )
| ( eq @ SY93 @ SV16 )
| ( eq @ SY92 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV17: $i,SV3: $i] :
( ( ( ~ ( eq @ SV3 @ SV17 ) )
= $true )
| ( ( eq @ SV17 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV31: $i,SV18: $i,SV4: $i] :
( ( ~ ( latin @ SV4 @ SV18 @ SV31 )
| ! [SY94: $i] :
( ~ ( latin @ SV4 @ SV18 @ SY94 )
| ( eq @ SY94 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV32: $i,SV19: $i,SV5: $i] :
( ( ~ ( latin @ SV5 @ SV19 @ SV32 )
| ! [SY95: $i] :
( ~ ( latin @ SV5 @ SY95 @ SV32 )
| ( eq @ SY95 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV33: $i,SV20: $i,SV6: $i] :
( ( ~ ( latin @ SV6 @ SV20 @ SV33 )
| ! [SY96: $i] :
( ~ ( latin @ SY96 @ SV20 @ SV33 )
| ( eq @ SY96 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV34: $i,SV21: $i,SV7: $i] :
( ( ~ ( greek @ SV7 @ SV21 @ SV34 )
| ! [SY97: $i] :
( ~ ( greek @ SV7 @ SV21 @ SY97 )
| ( eq @ SY97 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV35: $i,SV22: $i,SV8: $i] :
( ( ~ ( greek @ SV8 @ SV22 @ SV35 )
| ! [SY98: $i] :
( ~ ( greek @ SV8 @ SY98 @ SV35 )
| ( eq @ SY98 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV36: $i,SV23: $i,SV9: $i] :
( ( ~ ( greek @ SV9 @ SV23 @ SV36 )
| ! [SY99: $i] :
( ~ ( greek @ SY99 @ SV23 @ SV36 )
| ( eq @ SY99 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV24: $i,SV10: $i] :
( ( ( latin @ SV10 @ SV24 @ p1 )
= $true )
| ( ( latin @ SV10 @ SV24 @ p2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV25: $i,SV11: $i] :
( ( ( latin @ SV11 @ p1 @ SV25 )
= $true )
| ( ( latin @ SV11 @ p2 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV26: $i,SV12: $i] :
( ( ( latin @ p1 @ SV12 @ SV26 )
= $true )
| ( ( latin @ p2 @ SV12 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV27: $i,SV13: $i] :
( ( ( greek @ SV13 @ SV27 @ p1 )
= $true )
| ( ( greek @ SV13 @ SV27 @ p2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV28: $i,SV14: $i] :
( ( ( greek @ SV14 @ p1 @ SV28 )
= $true )
| ( ( greek @ SV14 @ p2 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV29: $i,SV15: $i] :
( ( ( greek @ p1 @ SV15 @ SV29 )
= $true )
| ( ( greek @ p2 @ SV15 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV37: $i,SV30: $i,SV16: $i,SV1: $i] :
( ( ~ ( greek @ SV1 @ SV16 @ SV30 )
| ~ ( latin @ SV1 @ SV16 @ SV37 )
| ! [SY100: $i,SY101: $i] :
( ~ ( greek @ SY100 @ SY101 @ SV30 )
| ~ ( latin @ SY100 @ SY101 @ SV37 )
| ( eq @ SY101 @ SV16 )
| ( eq @ SY100 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV17: $i,SV3: $i] :
( ( ( eq @ SV3 @ SV17 )
= $false )
| ( ( eq @ SV17 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV31: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( latin @ SV4 @ SV18 @ SV31 ) )
= $true )
| ( ( ! [SY94: $i] :
( ~ ( latin @ SV4 @ SV18 @ SY94 )
| ( eq @ SY94 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV32: $i,SV19: $i,SV5: $i] :
( ( ( ~ ( latin @ SV5 @ SV19 @ SV32 ) )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( latin @ SV5 @ SY95 @ SV32 )
| ( eq @ SY95 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV33: $i,SV20: $i,SV6: $i] :
( ( ( ~ ( latin @ SV6 @ SV20 @ SV33 ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( latin @ SY96 @ SV20 @ SV33 )
| ( eq @ SY96 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV34: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( greek @ SV7 @ SV21 @ SV34 ) )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( greek @ SV7 @ SV21 @ SY97 )
| ( eq @ SY97 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV35: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( greek @ SV8 @ SV22 @ SV35 ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( greek @ SV8 @ SY98 @ SV35 )
| ( eq @ SY98 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV36: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( greek @ SV9 @ SV23 @ SV36 ) )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( greek @ SY99 @ SV23 @ SV36 )
| ( eq @ SY99 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV37: $i,SV30: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( greek @ SV1 @ SV16 @ SV30 ) )
= $true )
| ( ( ~ ( latin @ SV1 @ SV16 @ SV37 )
| ! [SY100: $i,SY101: $i] :
( ~ ( greek @ SY100 @ SY101 @ SV30 )
| ~ ( latin @ SY100 @ SY101 @ SV37 )
| ( eq @ SY101 @ SV16 )
| ( eq @ SY100 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV31: $i,SV18: $i,SV4: $i] :
( ( ( latin @ SV4 @ SV18 @ SV31 )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( latin @ SV4 @ SV18 @ SY94 )
| ( eq @ SY94 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV32: $i,SV19: $i,SV5: $i] :
( ( ( latin @ SV5 @ SV19 @ SV32 )
= $false )
| ( ( ! [SY95: $i] :
( ~ ( latin @ SV5 @ SY95 @ SV32 )
| ( eq @ SY95 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(117,plain,
! [SV33: $i,SV20: $i,SV6: $i] :
( ( ( latin @ SV6 @ SV20 @ SV33 )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( latin @ SY96 @ SV20 @ SV33 )
| ( eq @ SY96 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV34: $i,SV21: $i,SV7: $i] :
( ( ( greek @ SV7 @ SV21 @ SV34 )
= $false )
| ( ( ! [SY97: $i] :
( ~ ( greek @ SV7 @ SV21 @ SY97 )
| ( eq @ SY97 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV35: $i,SV22: $i,SV8: $i] :
( ( ( greek @ SV8 @ SV22 @ SV35 )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( greek @ SV8 @ SY98 @ SV35 )
| ( eq @ SY98 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV36: $i,SV23: $i,SV9: $i] :
( ( ( greek @ SV9 @ SV23 @ SV36 )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( greek @ SY99 @ SV23 @ SV36 )
| ( eq @ SY99 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(121,plain,
! [SV37: $i,SV30: $i,SV16: $i,SV1: $i] :
( ( ( greek @ SV1 @ SV16 @ SV30 )
= $false )
| ( ( ~ ( latin @ SV1 @ SV16 @ SV37 )
| ! [SY100: $i,SY101: $i] :
( ~ ( greek @ SY100 @ SY101 @ SV30 )
| ~ ( latin @ SY100 @ SY101 @ SV37 )
| ( eq @ SY101 @ SV16 )
| ( eq @ SY100 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(122,plain,
! [SV31: $i,SV38: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( latin @ SV4 @ SV18 @ SV38 )
| ( eq @ SV38 @ SV31 ) )
= $true )
| ( ( latin @ SV4 @ SV18 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV19: $i,SV32: $i,SV39: $i,SV5: $i] :
( ( ( ~ ( latin @ SV5 @ SV39 @ SV32 )
| ( eq @ SV39 @ SV19 ) )
= $true )
| ( ( latin @ SV5 @ SV19 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV6: $i,SV33: $i,SV20: $i,SV40: $i] :
( ( ( ~ ( latin @ SV40 @ SV20 @ SV33 )
| ( eq @ SV40 @ SV6 ) )
= $true )
| ( ( latin @ SV6 @ SV20 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV34: $i,SV41: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( greek @ SV7 @ SV21 @ SV41 )
| ( eq @ SV41 @ SV34 ) )
= $true )
| ( ( greek @ SV7 @ SV21 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV22: $i,SV35: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( greek @ SV8 @ SV42 @ SV35 )
| ( eq @ SV42 @ SV22 ) )
= $true )
| ( ( greek @ SV8 @ SV22 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(127,plain,
! [SV9: $i,SV36: $i,SV23: $i,SV43: $i] :
( ( ( ~ ( greek @ SV43 @ SV23 @ SV36 )
| ( eq @ SV43 @ SV9 ) )
= $true )
| ( ( greek @ SV9 @ SV23 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(128,plain,
! [SV30: $i,SV37: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( latin @ SV1 @ SV16 @ SV37 ) )
= $true )
| ( ( ! [SY100: $i,SY101: $i] :
( ~ ( greek @ SY100 @ SY101 @ SV30 )
| ~ ( latin @ SY100 @ SY101 @ SV37 )
| ( eq @ SY101 @ SV16 )
| ( eq @ SY100 @ SV1 ) ) )
= $true )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(129,plain,
! [SV31: $i,SV38: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( latin @ SV4 @ SV18 @ SV38 ) )
= $true )
| ( ( eq @ SV38 @ SV31 )
= $true )
| ( ( latin @ SV4 @ SV18 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(130,plain,
! [SV19: $i,SV32: $i,SV39: $i,SV5: $i] :
( ( ( ~ ( latin @ SV5 @ SV39 @ SV32 ) )
= $true )
| ( ( eq @ SV39 @ SV19 )
= $true )
| ( ( latin @ SV5 @ SV19 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(131,plain,
! [SV6: $i,SV33: $i,SV20: $i,SV40: $i] :
( ( ( ~ ( latin @ SV40 @ SV20 @ SV33 ) )
= $true )
| ( ( eq @ SV40 @ SV6 )
= $true )
| ( ( latin @ SV6 @ SV20 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(132,plain,
! [SV34: $i,SV41: $i,SV21: $i,SV7: $i] :
( ( ( ~ ( greek @ SV7 @ SV21 @ SV41 ) )
= $true )
| ( ( eq @ SV41 @ SV34 )
= $true )
| ( ( greek @ SV7 @ SV21 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(133,plain,
! [SV22: $i,SV35: $i,SV42: $i,SV8: $i] :
( ( ( ~ ( greek @ SV8 @ SV42 @ SV35 ) )
= $true )
| ( ( eq @ SV42 @ SV22 )
= $true )
| ( ( greek @ SV8 @ SV22 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(134,plain,
! [SV9: $i,SV36: $i,SV23: $i,SV43: $i] :
( ( ( ~ ( greek @ SV43 @ SV23 @ SV36 ) )
= $true )
| ( ( eq @ SV43 @ SV9 )
= $true )
| ( ( greek @ SV9 @ SV23 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV30: $i,SV37: $i,SV16: $i,SV1: $i] :
( ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( ! [SY100: $i,SY101: $i] :
( ~ ( greek @ SY100 @ SY101 @ SV30 )
| ~ ( latin @ SY100 @ SY101 @ SV37 )
| ( eq @ SY101 @ SV16 )
| ( eq @ SY100 @ SV1 ) ) )
= $true )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV31: $i,SV38: $i,SV18: $i,SV4: $i] :
( ( ( latin @ SV4 @ SV18 @ SV38 )
= $false )
| ( ( eq @ SV38 @ SV31 )
= $true )
| ( ( latin @ SV4 @ SV18 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(137,plain,
! [SV19: $i,SV32: $i,SV39: $i,SV5: $i] :
( ( ( latin @ SV5 @ SV39 @ SV32 )
= $false )
| ( ( eq @ SV39 @ SV19 )
= $true )
| ( ( latin @ SV5 @ SV19 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(138,plain,
! [SV6: $i,SV33: $i,SV20: $i,SV40: $i] :
( ( ( latin @ SV40 @ SV20 @ SV33 )
= $false )
| ( ( eq @ SV40 @ SV6 )
= $true )
| ( ( latin @ SV6 @ SV20 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV34: $i,SV41: $i,SV21: $i,SV7: $i] :
( ( ( greek @ SV7 @ SV21 @ SV41 )
= $false )
| ( ( eq @ SV41 @ SV34 )
= $true )
| ( ( greek @ SV7 @ SV21 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV22: $i,SV35: $i,SV42: $i,SV8: $i] :
( ( ( greek @ SV8 @ SV42 @ SV35 )
= $false )
| ( ( eq @ SV42 @ SV22 )
= $true )
| ( ( greek @ SV8 @ SV22 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV9: $i,SV36: $i,SV23: $i,SV43: $i] :
( ( ( greek @ SV43 @ SV23 @ SV36 )
= $false )
| ( ( eq @ SV43 @ SV9 )
= $true )
| ( ( greek @ SV9 @ SV23 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(142,plain,
! [SV1: $i,SV16: $i,SV37: $i,SV30: $i,SV44: $i] :
( ( ( ! [SY102: $i] :
( ~ ( greek @ SV44 @ SY102 @ SV30 )
| ~ ( latin @ SV44 @ SY102 @ SV37 )
| ( eq @ SY102 @ SV16 )
| ( eq @ SV44 @ SV1 ) ) )
= $true )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV1: $i,SV16: $i,SV37: $i,SV30: $i,SV45: $i,SV44: $i] :
( ( ( ~ ( greek @ SV44 @ SV45 @ SV30 )
| ~ ( latin @ SV44 @ SV45 @ SV37 )
| ( eq @ SV45 @ SV16 )
| ( eq @ SV44 @ SV1 ) )
= $true )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(144,plain,
! [SV1: $i,SV16: $i,SV37: $i,SV30: $i,SV45: $i,SV44: $i] :
( ( ( ~ ( greek @ SV44 @ SV45 @ SV30 ) )
= $true )
| ( ( ~ ( latin @ SV44 @ SV45 @ SV37 )
| ( eq @ SV45 @ SV16 )
| ( eq @ SV44 @ SV1 ) )
= $true )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(145,plain,
! [SV1: $i,SV16: $i,SV37: $i,SV30: $i,SV45: $i,SV44: $i] :
( ( ( greek @ SV44 @ SV45 @ SV30 )
= $false )
| ( ( ~ ( latin @ SV44 @ SV45 @ SV37 )
| ( eq @ SV45 @ SV16 )
| ( eq @ SV44 @ SV1 ) )
= $true )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(146,plain,
! [SV30: $i,SV1: $i,SV16: $i,SV37: $i,SV45: $i,SV44: $i] :
( ( ( ~ ( latin @ SV44 @ SV45 @ SV37 ) )
= $true )
| ( ( ( eq @ SV45 @ SV16 )
| ( eq @ SV44 @ SV1 ) )
= $true )
| ( ( greek @ SV44 @ SV45 @ SV30 )
= $false )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(147,plain,
! [SV30: $i,SV1: $i,SV16: $i,SV37: $i,SV45: $i,SV44: $i] :
( ( ( latin @ SV44 @ SV45 @ SV37 )
= $false )
| ( ( ( eq @ SV45 @ SV16 )
| ( eq @ SV44 @ SV1 ) )
= $true )
| ( ( greek @ SV44 @ SV45 @ SV30 )
= $false )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(148,plain,
! [SV30: $i,SV37: $i,SV1: $i,SV44: $i,SV16: $i,SV45: $i] :
( ( ( eq @ SV45 @ SV16 )
= $true )
| ( ( eq @ SV44 @ SV1 )
= $true )
| ( ( latin @ SV44 @ SV45 @ SV37 )
= $false )
| ( ( greek @ SV44 @ SV45 @ SV30 )
= $false )
| ( ( latin @ SV1 @ SV16 @ SV37 )
= $false )
| ( ( greek @ SV1 @ SV16 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(149,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[62,148,141,140,139,138,137,136,107,105,104,103,102,101,100,77,63]) ).
thf(150,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : MSC008-2.002 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 1 16:05:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34
% 0.11/0.34 No.of.Axioms: 16
% 0.11/0.34
% 0.11/0.34 Length.of.Defs: 0
% 0.11/0.34
% 0.11/0.34 Contains.Choice.Funs: false
% 0.18/0.35 (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).........
% 19.36/19.63
% 19.36/19.63 ********************************
% 19.36/19.63 * All subproblems solved! *
% 19.36/19.63 ********************************
% 19.36/19.63 % 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:149,loop_count:0,foatp_calls:1,translation:fof_full)
% 19.46/19.63
% 19.46/19.63 %**** Beginning of derivation protocol ****
% 19.46/19.63 % SZS output start CNFRefutation
% See solution above
% 19.46/19.64
% 19.46/19.64 %**** End of derivation protocol ****
% 19.46/19.64 %**** no. of clauses in derivation: 150 ****
% 19.46/19.64 %**** clause counter: 149 ****
% 19.46/19.64
% 19.46/19.64 % 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:149,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------