TSTP Solution File: PUZ016-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ016-1 : 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 : n032.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 : Mon Jul 18 18:19:17 EDT 2022
% Result : Unsatisfiable 48.58s 48.87s
% Output : CNFRefutation 48.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 163 ( 122 unt; 17 typ; 0 def)
% Number of atoms : 522 ( 172 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 2585 ( 95 ~; 98 |; 0 &;2392 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 14 con; 0-8 aty)
% Number of variables : 714 ( 0 ^ 714 !; 0 ?; 714 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_achievable,type,
achievable: $i > $i > $o ).
thf(tp_complement,type,
complement: $i > $i ).
thf(tp_covered,type,
covered: $i ).
thf(tp_n1,type,
n1: $i ).
thf(tp_n2,type,
n2: $i ).
thf(tp_n3,type,
n3: $i ).
thf(tp_n4,type,
n4: $i ).
thf(tp_n5,type,
n5: $i ).
thf(tp_n6,type,
n6: $i ).
thf(tp_n7,type,
n7: $i ).
thf(tp_n8,type,
n8: $i ).
thf(tp_n9,type,
n9: $i ).
thf(tp_not_covered,type,
not_covered: $i ).
thf(tp_removed,type,
removed: $i ).
thf(tp_row,type,
row: $i > $i ).
thf(tp_squares,type,
squares: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_successor,type,
successor: $i > $i ).
thf(1,axiom,
( ( complement @ removed )
= not_covered ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_removed_is_not_covered) ).
thf(2,axiom,
( ( complement @ not_covered )
= covered ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_not_covered_is_covered) ).
thf(3,axiom,
( ( complement @ covered )
= not_covered ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_covered_is_not_covered) ).
thf(4,axiom,
( ( successor @ n8 )
= n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_8_is_9) ).
thf(5,axiom,
( ( successor @ n7 )
= n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_7_is_8) ).
thf(6,axiom,
( ( successor @ n6 )
= n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_6_is_7) ).
thf(7,axiom,
( ( successor @ n5 )
= n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_5_is_6) ).
thf(8,axiom,
( ( successor @ n4 )
= n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_4_is_5) ).
thf(9,axiom,
( ( successor @ n3 )
= n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_3_is_4) ).
thf(10,axiom,
( ( successor @ n2 )
= n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_2_is_3) ).
thf(11,axiom,
( ( successor @ n1 )
= n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_of_1_is_2) ).
thf(12,axiom,
! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ ( successor @ X ) ) @ ( squares @ ( complement @ Y1 ) @ ( complement @ Y2 ) @ ( complement @ Y3 ) @ ( complement @ Y4 ) @ ( complement @ Y5 ) @ ( complement @ Y6 ) @ ( complement @ Y7 ) @ ( complement @ Y8 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',place_vertical_pieces) ).
thf(13,axiom,
! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ covered @ covered ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_7_and_8) ).
thf(14,axiom,
! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ not_covered @ not_covered @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ covered @ covered @ Y8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_6_and_7) ).
thf(15,axiom,
! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ not_covered @ not_covered @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ covered @ covered @ Y7 @ Y8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_5_and_6) ).
thf(16,axiom,
! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ not_covered @ not_covered @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ covered @ covered @ Y6 @ Y7 @ Y8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_4_and_5) ).
thf(17,axiom,
! [X: $i,Y1: $i,Y2: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ not_covered @ not_covered @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ covered @ covered @ Y5 @ Y6 @ Y7 @ Y8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_3_and_4) ).
thf(18,axiom,
! [X: $i,Y1: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ not_covered @ not_covered @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ covered @ covered @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_2_and_3) ).
thf(19,axiom,
! [X: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ not_covered @ not_covered @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ covered @ covered @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cover_columns_1_and_2) ).
thf(20,axiom,
achievable @ ( row @ n1 ) @ ( squares @ not_covered @ removed @ removed @ not_covered @ not_covered @ not_covered @ not_covered @ not_covered ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_row_initially) ).
thf(21,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(22,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[21]) ).
thf(23,negated_conjecture,
~ ( achievable @ ( row @ n8 ) @ ( squares @ covered @ covered @ covered @ covered @ covered @ covered @ covered @ covered ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_row_8_can_be_covered) ).
thf(24,plain,
$false = $false,
inference(unfold_def,[status(thm)],[22]) ).
thf(25,plain,
( ( ( complement @ removed )
= not_covered )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(26,plain,
( ( ( complement @ not_covered )
= covered )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(27,plain,
( ( ( complement @ covered )
= not_covered )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(28,plain,
( ( ( successor @ n8 )
= n9 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(29,plain,
( ( ( successor @ n7 )
= n8 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(30,plain,
( ( ( successor @ n6 )
= n7 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(31,plain,
( ( ( successor @ n5 )
= n6 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(32,plain,
( ( ( successor @ n4 )
= n5 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(33,plain,
( ( ( successor @ n3 )
= n4 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(34,plain,
( ( ( successor @ n2 )
= n3 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(35,plain,
( ( ( successor @ n1 )
= n2 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(36,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ ( successor @ X ) ) @ ( squares @ ( complement @ Y1 ) @ ( complement @ Y2 ) @ ( complement @ Y3 ) @ ( complement @ Y4 ) @ ( complement @ Y5 ) @ ( complement @ Y6 ) @ ( complement @ Y7 ) @ ( complement @ Y8 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(37,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ covered @ covered ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(38,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ not_covered @ not_covered @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ covered @ covered @ Y8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(39,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ not_covered @ not_covered @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ covered @ covered @ Y7 @ Y8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(40,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ not_covered @ not_covered @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ covered @ covered @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(41,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ not_covered @ not_covered @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ covered @ covered @ Y5 @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(42,plain,
( ( ! [X: $i,Y1: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ not_covered @ not_covered @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ covered @ covered @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(43,plain,
( ( ! [X: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ not_covered @ not_covered @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ covered @ covered @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(44,plain,
( ( achievable @ ( row @ n1 ) @ ( squares @ not_covered @ removed @ removed @ not_covered @ not_covered @ not_covered @ not_covered @ not_covered ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(45,plain,
( ( ~ ( achievable @ ( row @ n8 ) @ ( squares @ covered @ covered @ covered @ covered @ covered @ covered @ covered @ covered ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(46,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(47,plain,
( ( ~ ( achievable @ ( row @ n8 ) @ ( squares @ covered @ covered @ covered @ covered @ covered @ covered @ covered @ covered ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(48,plain,
( ( achievable @ ( row @ n1 ) @ ( squares @ not_covered @ removed @ removed @ not_covered @ not_covered @ not_covered @ not_covered @ not_covered ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(49,plain,
( ( ! [X: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ not_covered @ not_covered @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ covered @ covered @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(50,plain,
( ( ! [X: $i,Y1: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ not_covered @ not_covered @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ covered @ covered @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(51,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ not_covered @ not_covered @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ covered @ covered @ Y5 @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(52,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ not_covered @ not_covered @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ covered @ covered @ Y6 @ Y7 @ Y8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(53,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ not_covered @ not_covered @ Y7 @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ covered @ covered @ Y7 @ Y8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(54,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ not_covered @ not_covered @ Y8 ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ covered @ covered @ Y8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(55,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ covered @ covered ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(56,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i] :
( ~ ( achievable @ ( row @ X ) @ ( squares @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 ) )
| ( achievable @ ( row @ ( successor @ X ) ) @ ( squares @ ( complement @ Y1 ) @ ( complement @ Y2 ) @ ( complement @ Y3 ) @ ( complement @ Y4 ) @ ( complement @ Y5 ) @ ( complement @ Y6 ) @ ( complement @ Y7 ) @ ( complement @ Y8 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(57,plain,
( ( ( successor @ n1 )
= n2 )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(58,plain,
( ( ( successor @ n2 )
= n3 )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(59,plain,
( ( ( successor @ n3 )
= n4 )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(60,plain,
( ( ( successor @ n4 )
= n5 )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(61,plain,
( ( ( successor @ n5 )
= n6 )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(62,plain,
( ( ( successor @ n6 )
= n7 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(63,plain,
( ( ( successor @ n7 )
= n8 )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(64,plain,
( ( ( successor @ n8 )
= n9 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(65,plain,
( ( ( complement @ covered )
= not_covered )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(66,plain,
( ( ( complement @ not_covered )
= covered )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(67,plain,
( ( ( complement @ removed )
= not_covered )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(68,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(69,plain,
( ( achievable @ ( row @ n8 ) @ ( squares @ covered @ covered @ covered @ covered @ covered @ covered @ covered @ covered ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(70,plain,
! [SV1: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i,SY61: $i,SY62: $i,SY63: $i] :
( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SY58 @ SY59 @ SY60 @ SY61 @ SY62 @ SY63 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SY58 @ SY59 @ SY60 @ SY61 @ SY62 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(71,plain,
! [SV2: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i,SY67: $i,SY68: $i,SY69: $i] :
( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SY64 @ not_covered @ not_covered @ SY65 @ SY66 @ SY67 @ SY68 @ SY69 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SY64 @ covered @ covered @ SY65 @ SY66 @ SY67 @ SY68 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(72,plain,
! [SV3: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i,SY73: $i,SY74: $i,SY75: $i] :
( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SY70 @ SY71 @ not_covered @ not_covered @ SY72 @ SY73 @ SY74 @ SY75 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SY70 @ SY71 @ covered @ covered @ SY72 @ SY73 @ SY74 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(73,plain,
! [SV4: $i] :
( ( ! [SY76: $i,SY77: $i,SY78: $i,SY79: $i,SY80: $i,SY81: $i] :
( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SY76 @ SY77 @ SY78 @ not_covered @ not_covered @ SY79 @ SY80 @ SY81 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SY76 @ SY77 @ SY78 @ covered @ covered @ SY79 @ SY80 @ SY81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(74,plain,
! [SV5: $i] :
( ( ! [SY82: $i,SY83: $i,SY84: $i,SY85: $i,SY86: $i,SY87: $i] :
( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SY82 @ SY83 @ SY84 @ SY85 @ not_covered @ not_covered @ SY86 @ SY87 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SY82 @ SY83 @ SY84 @ SY85 @ covered @ covered @ SY86 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(75,plain,
! [SV6: $i] :
( ( ! [SY88: $i,SY89: $i,SY90: $i,SY91: $i,SY92: $i,SY93: $i] :
( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SY88 @ SY89 @ SY90 @ SY91 @ SY92 @ not_covered @ not_covered @ SY93 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SY88 @ SY89 @ SY90 @ SY91 @ SY92 @ covered @ covered @ SY93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(76,plain,
! [SV7: $i] :
( ( ! [SY94: $i,SY95: $i,SY96: $i,SY97: $i,SY98: $i,SY99: $i] :
( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SY94 @ SY95 @ SY96 @ SY97 @ SY98 @ SY99 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SY94 @ SY95 @ SY96 @ SY97 @ SY98 @ SY99 @ covered @ covered ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(77,plain,
! [SV8: $i] :
( ( ! [SY100: $i,SY101: $i,SY102: $i,SY103: $i,SY104: $i,SY105: $i,SY106: $i,SY107: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SY100 @ SY101 @ SY102 @ SY103 @ SY104 @ SY105 @ SY106 @ SY107 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SY100 ) @ ( complement @ SY101 ) @ ( complement @ SY102 ) @ ( complement @ SY103 ) @ ( complement @ SY104 ) @ ( complement @ SY105 ) @ ( complement @ SY106 ) @ ( complement @ SY107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(78,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV9: $i,SV1: $i] :
( ( ! [SY108: $i,SY109: $i,SY110: $i,SY111: $i,SY112: $i] :
( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SY108 @ SY109 @ SY110 @ SY111 @ SY112 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SY108 @ SY109 @ SY110 @ SY111 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV10: $i,SV2: $i] :
( ( ! [SY113: $i,SY114: $i,SY115: $i,SY116: $i,SY117: $i] :
( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SY113 @ SY114 @ SY115 @ SY116 @ SY117 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SY113 @ SY114 @ SY115 @ SY116 @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(81,plain,
! [SV11: $i,SV3: $i] :
( ( ! [SY118: $i,SY119: $i,SY120: $i,SY121: $i,SY122: $i] :
( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SY118 @ not_covered @ not_covered @ SY119 @ SY120 @ SY121 @ SY122 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SY118 @ covered @ covered @ SY119 @ SY120 @ SY121 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(82,plain,
! [SV12: $i,SV4: $i] :
( ( ! [SY123: $i,SY124: $i,SY125: $i,SY126: $i,SY127: $i] :
( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SY123 @ SY124 @ not_covered @ not_covered @ SY125 @ SY126 @ SY127 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SY123 @ SY124 @ covered @ covered @ SY125 @ SY126 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(83,plain,
! [SV13: $i,SV5: $i] :
( ( ! [SY128: $i,SY129: $i,SY130: $i,SY131: $i,SY132: $i] :
( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SY128 @ SY129 @ SY130 @ not_covered @ not_covered @ SY131 @ SY132 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SY128 @ SY129 @ SY130 @ covered @ covered @ SY131 @ SY132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV14: $i,SV6: $i] :
( ( ! [SY133: $i,SY134: $i,SY135: $i,SY136: $i,SY137: $i] :
( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SY133 @ SY134 @ SY135 @ SY136 @ not_covered @ not_covered @ SY137 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SY133 @ SY134 @ SY135 @ SY136 @ covered @ covered @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV15: $i,SV7: $i] :
( ( ! [SY138: $i,SY139: $i,SY140: $i,SY141: $i,SY142: $i] :
( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SY138 @ SY139 @ SY140 @ SY141 @ SY142 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SY138 @ SY139 @ SY140 @ SY141 @ SY142 @ covered @ covered ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(86,plain,
! [SV16: $i,SV8: $i] :
( ( ! [SY143: $i,SY144: $i,SY145: $i,SY146: $i,SY147: $i,SY148: $i,SY149: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SY143 @ SY144 @ SY145 @ SY146 @ SY147 @ SY148 @ SY149 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SY143 ) @ ( complement @ SY144 ) @ ( complement @ SY145 ) @ ( complement @ SY146 ) @ ( complement @ SY147 ) @ ( complement @ SY148 ) @ ( complement @ SY149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(87,plain,
! [SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY150: $i,SY151: $i,SY152: $i,SY153: $i] :
( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SY150 @ SY151 @ SY152 @ SY153 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SY150 @ SY151 @ SY152 @ SY153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY154: $i,SY155: $i,SY156: $i,SY157: $i] :
( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SY154 @ SY155 @ SY156 @ SY157 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SY154 @ SY155 @ SY156 @ SY157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(89,plain,
! [SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY158: $i,SY159: $i,SY160: $i,SY161: $i] :
( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SY158 @ SY159 @ SY160 @ SY161 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SY158 @ SY159 @ SY160 @ SY161 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV20: $i,SV12: $i,SV4: $i] :
( ( ! [SY162: $i,SY163: $i,SY164: $i,SY165: $i] :
( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SY162 @ not_covered @ not_covered @ SY163 @ SY164 @ SY165 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SY162 @ covered @ covered @ SY163 @ SY164 @ SY165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV21: $i,SV13: $i,SV5: $i] :
( ( ! [SY166: $i,SY167: $i,SY168: $i,SY169: $i] :
( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SY166 @ SY167 @ not_covered @ not_covered @ SY168 @ SY169 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SY166 @ SY167 @ covered @ covered @ SY168 @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV22: $i,SV14: $i,SV6: $i] :
( ( ! [SY170: $i,SY171: $i,SY172: $i,SY173: $i] :
( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SY170 @ SY171 @ SY172 @ not_covered @ not_covered @ SY173 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SY170 @ SY171 @ SY172 @ covered @ covered @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV23: $i,SV15: $i,SV7: $i] :
( ( ! [SY174: $i,SY175: $i,SY176: $i,SY177: $i] :
( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SY174 @ SY175 @ SY176 @ SY177 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SY174 @ SY175 @ SY176 @ SY177 @ covered @ covered ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(94,plain,
! [SV24: $i,SV16: $i,SV8: $i] :
( ( ! [SY178: $i,SY179: $i,SY180: $i,SY181: $i,SY182: $i,SY183: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SY178 @ SY179 @ SY180 @ SY181 @ SY182 @ SY183 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SY178 ) @ ( complement @ SY179 ) @ ( complement @ SY180 ) @ ( complement @ SY181 ) @ ( complement @ SY182 ) @ ( complement @ SY183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV25: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY184: $i,SY185: $i,SY186: $i] :
( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SV25 @ SY184 @ SY185 @ SY186 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SV25 @ SY184 @ SY185 @ SY186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(96,plain,
! [SV26: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY187: $i,SY188: $i,SY189: $i] :
( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SV26 @ SY187 @ SY188 @ SY189 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SV26 @ SY187 @ SY188 @ SY189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV27: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY190: $i,SY191: $i,SY192: $i] :
( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SV27 @ SY190 @ SY191 @ SY192 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SV27 @ SY190 @ SY191 @ SY192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV28: $i,SV20: $i,SV12: $i,SV4: $i] :
( ( ! [SY193: $i,SY194: $i,SY195: $i] :
( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ not_covered @ not_covered @ SY193 @ SY194 @ SY195 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ covered @ covered @ SY193 @ SY194 @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(99,plain,
! [SV29: $i,SV21: $i,SV13: $i,SV5: $i] :
( ( ! [SY196: $i,SY197: $i,SY198: $i] :
( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SY196 @ not_covered @ not_covered @ SY197 @ SY198 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SY196 @ covered @ covered @ SY197 @ SY198 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV30: $i,SV22: $i,SV14: $i,SV6: $i] :
( ( ! [SY199: $i,SY200: $i,SY201: $i] :
( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SY199 @ SY200 @ not_covered @ not_covered @ SY201 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SY199 @ SY200 @ covered @ covered @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV31: $i,SV23: $i,SV15: $i,SV7: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SY202 @ SY203 @ SY204 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SY202 @ SY203 @ SY204 @ covered @ covered ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ! [SY205: $i,SY206: $i,SY207: $i,SY208: $i,SY209: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SY205 @ SY206 @ SY207 @ SY208 @ SY209 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SY205 ) @ ( complement @ SY206 ) @ ( complement @ SY207 ) @ ( complement @ SY208 ) @ ( complement @ SY209 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(103,plain,
! [SV33: $i,SV25: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY210: $i,SY211: $i] :
( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SV25 @ SV33 @ SY210 @ SY211 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SV25 @ SV33 @ SY210 @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(104,plain,
! [SV34: $i,SV26: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY212: $i,SY213: $i] :
( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SV26 @ SV34 @ SY212 @ SY213 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SV26 @ SV34 @ SY212 @ SY213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(105,plain,
! [SV35: $i,SV27: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY214: $i,SY215: $i] :
( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SV27 @ SV35 @ SY214 @ SY215 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SV27 @ SV35 @ SY214 @ SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV36: $i,SV28: $i,SV20: $i,SV12: $i,SV4: $i] :
( ( ! [SY216: $i,SY217: $i] :
( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ not_covered @ not_covered @ SV36 @ SY216 @ SY217 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ covered @ covered @ SV36 @ SY216 @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(107,plain,
! [SV37: $i,SV29: $i,SV21: $i,SV13: $i,SV5: $i] :
( ( ! [SY218: $i,SY219: $i] :
( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ not_covered @ not_covered @ SY218 @ SY219 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ covered @ covered @ SY218 @ SY219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV38: $i,SV30: $i,SV22: $i,SV14: $i,SV6: $i] :
( ( ! [SY220: $i,SY221: $i] :
( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SY220 @ not_covered @ not_covered @ SY221 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SY220 @ covered @ covered @ SY221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(109,plain,
! [SV39: $i,SV31: $i,SV23: $i,SV15: $i,SV7: $i] :
( ( ! [SY222: $i,SY223: $i] :
( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SY222 @ SY223 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SY222 @ SY223 @ covered @ covered ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(110,plain,
! [SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ! [SY224: $i,SY225: $i,SY226: $i,SY227: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SY224 @ SY225 @ SY226 @ SY227 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SY224 ) @ ( complement @ SY225 ) @ ( complement @ SY226 ) @ ( complement @ SY227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV41: $i,SV33: $i,SV25: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY228: $i] :
( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SY228 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SY228 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV42: $i,SV34: $i,SV26: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY229: $i] :
( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SV26 @ SV34 @ SV42 @ SY229 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SV26 @ SV34 @ SV42 @ SY229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV43: $i,SV35: $i,SV27: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ! [SY230: $i] :
( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SV27 @ SV35 @ SV43 @ SY230 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SV27 @ SV35 @ SV43 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV44: $i,SV36: $i,SV28: $i,SV20: $i,SV12: $i,SV4: $i] :
( ( ! [SY231: $i] :
( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ not_covered @ not_covered @ SV36 @ SV44 @ SY231 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ covered @ covered @ SV36 @ SV44 @ SY231 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV45: $i,SV37: $i,SV29: $i,SV21: $i,SV13: $i,SV5: $i] :
( ( ! [SY232: $i] :
( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ not_covered @ not_covered @ SV45 @ SY232 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ covered @ covered @ SV45 @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV46: $i,SV38: $i,SV30: $i,SV22: $i,SV14: $i,SV6: $i] :
( ( ! [SY233: $i] :
( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ not_covered @ not_covered @ SY233 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ covered @ covered @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(117,plain,
! [SV47: $i,SV39: $i,SV31: $i,SV23: $i,SV15: $i,SV7: $i] :
( ( ! [SY234: $i] :
( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SY234 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SY234 @ covered @ covered ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV48: $i,SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SV48 @ SY235 @ SY236 @ SY237 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SV48 ) @ ( complement @ SY235 ) @ ( complement @ SY236 ) @ ( complement @ SY237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV49: $i,SV41: $i,SV33: $i,SV25: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SV49 ) )
| ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV50: $i,SV42: $i,SV34: $i,SV26: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SV26 @ SV34 @ SV42 @ SV50 ) )
| ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SV26 @ SV34 @ SV42 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV51: $i,SV43: $i,SV35: $i,SV27: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SV27 @ SV35 @ SV43 @ SV51 ) )
| ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SV27 @ SV35 @ SV43 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV52: $i,SV44: $i,SV36: $i,SV28: $i,SV20: $i,SV12: $i,SV4: $i] :
( ( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ not_covered @ not_covered @ SV36 @ SV44 @ SV52 ) )
| ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ covered @ covered @ SV36 @ SV44 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(123,plain,
! [SV53: $i,SV45: $i,SV37: $i,SV29: $i,SV21: $i,SV13: $i,SV5: $i] :
( ( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ not_covered @ not_covered @ SV45 @ SV53 ) )
| ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ covered @ covered @ SV45 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV54: $i,SV46: $i,SV38: $i,SV30: $i,SV22: $i,SV14: $i,SV6: $i] :
( ( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ not_covered @ not_covered @ SV54 ) )
| ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ covered @ covered @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(125,plain,
! [SV55: $i,SV47: $i,SV39: $i,SV31: $i,SV23: $i,SV15: $i,SV7: $i] :
( ( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SV55 @ not_covered @ not_covered ) )
| ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SV55 @ covered @ covered ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(126,plain,
! [SV56: $i,SV48: $i,SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ! [SY238: $i,SY239: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SV48 @ SV56 @ SY238 @ SY239 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SV48 ) @ ( complement @ SV56 ) @ ( complement @ SY238 ) @ ( complement @ SY239 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV49: $i,SV41: $i,SV33: $i,SV25: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ( ~ ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SV49 ) ) )
= $true )
| ( ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(128,plain,
! [SV50: $i,SV42: $i,SV34: $i,SV26: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SV26 @ SV34 @ SV42 @ SV50 ) ) )
= $true )
| ( ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SV26 @ SV34 @ SV42 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(129,plain,
! [SV51: $i,SV43: $i,SV35: $i,SV27: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SV27 @ SV35 @ SV43 @ SV51 ) ) )
= $true )
| ( ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SV27 @ SV35 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(130,plain,
! [SV52: $i,SV44: $i,SV36: $i,SV28: $i,SV20: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ not_covered @ not_covered @ SV36 @ SV44 @ SV52 ) ) )
= $true )
| ( ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ covered @ covered @ SV36 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(131,plain,
! [SV53: $i,SV45: $i,SV37: $i,SV29: $i,SV21: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ not_covered @ not_covered @ SV45 @ SV53 ) ) )
= $true )
| ( ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ covered @ covered @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(132,plain,
! [SV54: $i,SV46: $i,SV38: $i,SV30: $i,SV22: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ not_covered @ not_covered @ SV54 ) ) )
= $true )
| ( ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ covered @ covered @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(133,plain,
! [SV55: $i,SV47: $i,SV39: $i,SV31: $i,SV23: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SV55 @ not_covered @ not_covered ) ) )
= $true )
| ( ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SV55 @ covered @ covered ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(134,plain,
! [SV57: $i,SV56: $i,SV48: $i,SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ! [SY240: $i] :
( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SV48 @ SV56 @ SV57 @ SY240 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SV48 ) @ ( complement @ SV56 ) @ ( complement @ SV57 ) @ ( complement @ SY240 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(135,plain,
! [SV49: $i,SV41: $i,SV33: $i,SV25: $i,SV17: $i,SV9: $i,SV1: $i] :
( ( ( achievable @ ( row @ SV1 ) @ ( squares @ not_covered @ not_covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SV49 ) )
= $false )
| ( ( achievable @ ( row @ SV1 ) @ ( squares @ covered @ covered @ SV9 @ SV17 @ SV25 @ SV33 @ SV41 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(136,plain,
! [SV50: $i,SV42: $i,SV34: $i,SV26: $i,SV18: $i,SV10: $i,SV2: $i] :
( ( ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ not_covered @ not_covered @ SV18 @ SV26 @ SV34 @ SV42 @ SV50 ) )
= $false )
| ( ( achievable @ ( row @ SV2 ) @ ( squares @ SV10 @ covered @ covered @ SV18 @ SV26 @ SV34 @ SV42 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(137,plain,
! [SV51: $i,SV43: $i,SV35: $i,SV27: $i,SV19: $i,SV11: $i,SV3: $i] :
( ( ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ not_covered @ not_covered @ SV27 @ SV35 @ SV43 @ SV51 ) )
= $false )
| ( ( achievable @ ( row @ SV3 ) @ ( squares @ SV11 @ SV19 @ covered @ covered @ SV27 @ SV35 @ SV43 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV52: $i,SV44: $i,SV36: $i,SV28: $i,SV20: $i,SV12: $i,SV4: $i] :
( ( ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ not_covered @ not_covered @ SV36 @ SV44 @ SV52 ) )
= $false )
| ( ( achievable @ ( row @ SV4 ) @ ( squares @ SV12 @ SV20 @ SV28 @ covered @ covered @ SV36 @ SV44 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(139,plain,
! [SV53: $i,SV45: $i,SV37: $i,SV29: $i,SV21: $i,SV13: $i,SV5: $i] :
( ( ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ not_covered @ not_covered @ SV45 @ SV53 ) )
= $false )
| ( ( achievable @ ( row @ SV5 ) @ ( squares @ SV13 @ SV21 @ SV29 @ SV37 @ covered @ covered @ SV45 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(140,plain,
! [SV54: $i,SV46: $i,SV38: $i,SV30: $i,SV22: $i,SV14: $i,SV6: $i] :
( ( ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ not_covered @ not_covered @ SV54 ) )
= $false )
| ( ( achievable @ ( row @ SV6 ) @ ( squares @ SV14 @ SV22 @ SV30 @ SV38 @ SV46 @ covered @ covered @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(141,plain,
! [SV55: $i,SV47: $i,SV39: $i,SV31: $i,SV23: $i,SV15: $i,SV7: $i] :
( ( ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SV55 @ not_covered @ not_covered ) )
= $false )
| ( ( achievable @ ( row @ SV7 ) @ ( squares @ SV15 @ SV23 @ SV31 @ SV39 @ SV47 @ SV55 @ covered @ covered ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV48: $i,SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SV48 @ SV56 @ SV57 @ SV58 ) )
| ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SV48 ) @ ( complement @ SV56 ) @ ( complement @ SV57 ) @ ( complement @ SV58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV48: $i,SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ( ~ ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SV48 @ SV56 @ SV57 @ SV58 ) ) )
= $true )
| ( ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SV48 ) @ ( complement @ SV56 ) @ ( complement @ SV57 ) @ ( complement @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(144,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV48: $i,SV40: $i,SV32: $i,SV24: $i,SV16: $i,SV8: $i] :
( ( ( achievable @ ( row @ SV8 ) @ ( squares @ SV16 @ SV24 @ SV32 @ SV40 @ SV48 @ SV56 @ SV57 @ SV58 ) )
= $false )
| ( ( achievable @ ( row @ ( successor @ SV8 ) ) @ ( squares @ ( complement @ SV16 ) @ ( complement @ SV24 ) @ ( complement @ SV32 ) @ ( complement @ SV40 ) @ ( complement @ SV48 ) @ ( complement @ SV56 ) @ ( complement @ SV57 ) @ ( complement @ SV58 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(145,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,144,141,140,139,138,137,136,135,78,69,67,66,65,64,63,62,61,60,59,58,57]) ).
thf(146,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sat May 28 22:29:41 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.33
% 0.14/0.33 No.of.Axioms: 21
% 0.14/0.33
% 0.14/0.33 Length.of.Defs: 0
% 0.14/0.33
% 0.14/0.33 Contains.Choice.Funs: false
% 0.14/0.36 (rf:0,axioms:21,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:23,loop_count:0,foatp_calls:0,translation:fof_full).........
% 48.58/48.87
% 48.58/48.87 ********************************
% 48.58/48.87 * All subproblems solved! *
% 48.58/48.87 ********************************
% 48.58/48.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:21,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:145,loop_count:0,foatp_calls:1,translation:fof_full)
% 48.58/48.88
% 48.58/48.88 %**** Beginning of derivation protocol ****
% 48.58/48.88 % SZS output start CNFRefutation
% See solution above
% 48.58/48.88
% 48.58/48.88 %**** End of derivation protocol ****
% 48.58/48.88 %**** no. of clauses in derivation: 146 ****
% 48.58/48.88 %**** clause counter: 145 ****
% 48.58/48.88
% 48.58/48.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:21,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:145,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------