TSTP Solution File: PUZ013-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ013-1 : 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 : n018.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 18:19:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 34
% Syntax : Number of formulae : 136 ( 54 unt; 13 typ; 0 def)
% Number of atoms : 676 ( 180 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 319 ( 126 ~; 193 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_some_english_sing,type,
some_english_sing: $o ).
thf(tp_some_english_sing_not,type,
some_english_sing_not: $o ).
thf(tp_some_germans_play,type,
some_germans_play: $o ).
thf(tp_some_germans_play_not,type,
some_germans_play_not: $o ).
thf(tp_some_irish_fight,type,
some_irish_fight: $o ).
thf(tp_some_irish_fight_not,type,
some_irish_fight_not: $o ).
thf(tp_some_monitors_are_awake,type,
some_monitors_are_awake: $o ).
thf(tp_some_monitors_are_not_awake,type,
some_monitors_are_not_awake: $o ).
thf(tp_some_of_the_eleven_are_not_oiling,type,
some_of_the_eleven_are_not_oiling: $o ).
thf(tp_some_scotch_dance,type,
some_scotch_dance: $o ).
thf(tp_some_scotch_dance_not,type,
some_scotch_dance_not: $o ).
thf(tp_some_welsh_eat,type,
some_welsh_eat: $o ).
thf(tp_some_welsh_eat_not,type,
some_welsh_eat_not: $o ).
thf(1,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
thf(2,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
thf(3,axiom,
( some_germans_play
| some_germans_play_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).
thf(4,axiom,
( some_welsh_eat
| some_welsh_eat_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).
thf(5,axiom,
( some_irish_fight
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).
thf(6,axiom,
( some_scotch_dance
| some_scotch_dance_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14) ).
thf(7,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).
thf(8,axiom,
( some_english_sing_not
| some_english_sing ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).
thf(9,axiom,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
thf(10,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
thf(11,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
thf(12,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
thf(13,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
thf(14,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
thf(15,axiom,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
thf(16,axiom,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
thf(17,axiom,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
thf(18,axiom,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
thf(19,axiom,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
thf(20,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(21,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
thf(23,plain,
$false = $false,
inference(unfold_def,[status(thm)],[21]) ).
thf(24,plain,
some_scotch_dance_not = $true,
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
some_english_sing = $true,
inference(unfold_def,[status(thm)],[2]) ).
thf(26,plain,
( ( some_germans_play
| some_germans_play_not )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(27,plain,
( ( some_welsh_eat
| some_welsh_eat_not )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(28,plain,
( ( some_irish_fight
| some_irish_fight_not )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(29,plain,
( ( some_scotch_dance
| some_scotch_dance_not )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(30,plain,
( ( some_monitors_are_not_awake
| some_monitors_are_awake )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(31,plain,
( ( some_english_sing_not
| some_english_sing )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(32,plain,
( ( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(33,plain,
( ( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(34,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,plain,
( ( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(37,plain,
( ( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(38,plain,
( ( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(39,plain,
( ( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(40,plain,
( ( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(41,plain,
( ( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(42,plain,
( ( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(43,plain,
( ( ~ some_monitors_are_awake )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(45,plain,
( ( some_monitors_are_awake
| some_monitors_are_not_awake )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(46,plain,
( ( some_english_sing
| some_english_sing_not )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(47,plain,
( ( ~ some_monitors_are_awake )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(48,plain,
( ( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(50,plain,
( ( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(51,plain,
( ( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(52,plain,
( ( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(53,plain,
( ( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(54,plain,
( ( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(55,plain,
( ( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(56,plain,
( ( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(57,plain,
( ( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(58,plain,
( ( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(59,plain,
( ( some_english_sing
| some_english_sing_not )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(60,plain,
( ( some_monitors_are_awake
| some_monitors_are_not_awake )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(61,plain,
( ( some_scotch_dance
| some_scotch_dance_not )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(62,plain,
( ( some_irish_fight
| some_irish_fight_not )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(63,plain,
( ( some_welsh_eat
| some_welsh_eat_not )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(64,plain,
( ( some_germans_play
| some_germans_play_not )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(65,plain,
some_english_sing = $true,
inference(copy,[status(thm)],[25]) ).
thf(66,plain,
some_scotch_dance_not = $true,
inference(copy,[status(thm)],[24]) ).
thf(67,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(68,plain,
some_monitors_are_awake = $false,
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(69,plain,
( ( ( ~ some_english_sing )
= $true )
| ( ( ~ some_english_sing_not
| some_monitors_are_awake )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(70,plain,
( ( ( ~ some_scotch_dance )
= $true )
| ( ( ~ some_irish_fight
| some_welsh_eat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(71,plain,
( ( ( ~ some_germans_play )
= $true )
| ( ( some_germans_play_not
| some_of_the_eleven_are_not_oiling )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(72,plain,
( ( ( ~ some_monitors_are_awake )
= $true )
| ( ( ~ some_monitors_are_not_awake
| some_irish_fight )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(73,plain,
( ( ( ~ some_germans_play )
= $true )
| ( ( some_scotch_dance
| some_welsh_eat_not )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(74,plain,
( ( ( ~ some_scotch_dance_not )
= $true )
| ( ( ~ some_irish_fight_not
| some_germans_play )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(75,plain,
( ( ( ~ some_monitors_are_awake )
= $true )
| ( ( ~ some_welsh_eat
| ~ some_scotch_dance )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(76,plain,
( ( ( ~ some_germans_play_not )
= $true )
| ( ( ~ some_welsh_eat_not
| ~ some_irish_fight )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(77,plain,
( ( ( ~ some_english_sing )
= $true )
| ( ( some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(78,plain,
( ( ( ~ some_english_sing )
= $true )
| ( ( ~ some_monitors_are_not_awake
| some_irish_fight_not )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(79,plain,
( ( ( ~ some_monitors_are_awake )
= $true )
| ( ( ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(80,plain,
( ( some_english_sing = $true )
| ( some_english_sing_not = $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(81,plain,
( ( some_monitors_are_awake = $true )
| ( some_monitors_are_not_awake = $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(82,plain,
( ( some_scotch_dance = $true )
| ( some_scotch_dance_not = $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(83,plain,
( ( some_irish_fight = $true )
| ( some_irish_fight_not = $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(84,plain,
( ( some_welsh_eat = $true )
| ( some_welsh_eat_not = $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(85,plain,
( ( some_germans_play = $true )
| ( some_germans_play_not = $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(86,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(87,plain,
( ( some_english_sing = $false )
| ( ( ~ some_english_sing_not
| some_monitors_are_awake )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(88,plain,
( ( some_scotch_dance = $false )
| ( ( ~ some_irish_fight
| some_welsh_eat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(89,plain,
( ( some_germans_play = $false )
| ( ( some_germans_play_not
| some_of_the_eleven_are_not_oiling )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(90,plain,
( ( some_monitors_are_awake = $false )
| ( ( ~ some_monitors_are_not_awake
| some_irish_fight )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(91,plain,
( ( some_germans_play = $false )
| ( ( some_scotch_dance
| some_welsh_eat_not )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(92,plain,
( ( some_scotch_dance_not = $false )
| ( ( ~ some_irish_fight_not
| some_germans_play )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(93,plain,
( ( some_monitors_are_awake = $false )
| ( ( ~ some_welsh_eat
| ~ some_scotch_dance )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(94,plain,
( ( some_germans_play_not = $false )
| ( ( ~ some_welsh_eat_not
| ~ some_irish_fight )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(95,plain,
( ( some_english_sing = $false )
| ( ( some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(96,plain,
( ( some_english_sing = $false )
| ( ( ~ some_monitors_are_not_awake
| some_irish_fight_not )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(97,plain,
( ( some_monitors_are_awake = $false )
| ( ( ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(98,plain,
( ( ( ~ some_english_sing_not )
= $true )
| ( some_monitors_are_awake = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(99,plain,
( ( ( ~ some_irish_fight )
= $true )
| ( some_welsh_eat = $true )
| ( some_scotch_dance = $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(100,plain,
( ( some_germans_play_not = $true )
| ( some_of_the_eleven_are_not_oiling = $true )
| ( some_germans_play = $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(101,plain,
( ( ( ~ some_monitors_are_not_awake )
= $true )
| ( some_irish_fight = $true )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(102,plain,
( ( some_scotch_dance = $true )
| ( some_welsh_eat_not = $true )
| ( some_germans_play = $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(103,plain,
( ( ( ~ some_irish_fight_not )
= $true )
| ( some_germans_play = $true )
| ( some_scotch_dance_not = $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(104,plain,
( ( ( ~ some_welsh_eat )
= $true )
| ( ( ~ some_scotch_dance )
= $true )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(105,plain,
( ( ( ~ some_welsh_eat_not )
= $true )
| ( ( ~ some_irish_fight )
= $true )
| ( some_germans_play_not = $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
( ( some_english_sing_not = $true )
| ( ( ~ some_scotch_dance_not
| ~ some_germans_play )
= $true )
| ( some_english_sing = $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(107,plain,
( ( ( ~ some_monitors_are_not_awake )
= $true )
| ( some_irish_fight_not = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(108,plain,
( ( ( ~ some_of_the_eleven_are_not_oiling )
= $true )
| ( some_scotch_dance = $true )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(109,plain,
( ( some_english_sing_not = $false )
| ( some_monitors_are_awake = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(110,plain,
( ( some_irish_fight = $false )
| ( some_welsh_eat = $true )
| ( some_scotch_dance = $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(111,plain,
( ( some_monitors_are_not_awake = $false )
| ( some_irish_fight = $true )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(112,plain,
( ( some_irish_fight_not = $false )
| ( some_germans_play = $true )
| ( some_scotch_dance_not = $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(113,plain,
( ( some_welsh_eat = $false )
| ( ( ~ some_scotch_dance )
= $true )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
( ( some_welsh_eat_not = $false )
| ( ( ~ some_irish_fight )
= $true )
| ( some_germans_play_not = $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(115,plain,
( ( ( ~ some_scotch_dance_not )
= $true )
| ( ( ~ some_germans_play )
= $true )
| ( some_english_sing_not = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(116,plain,
( ( some_monitors_are_not_awake = $false )
| ( some_irish_fight_not = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
( ( some_of_the_eleven_are_not_oiling = $false )
| ( some_scotch_dance = $true )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(118,plain,
( ( some_scotch_dance = $false )
| ( some_welsh_eat = $false )
| ( some_monitors_are_awake = $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(119,plain,
( ( some_irish_fight = $false )
| ( some_welsh_eat_not = $false )
| ( some_germans_play_not = $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(120,plain,
( ( some_scotch_dance_not = $false )
| ( ( ~ some_germans_play )
= $true )
| ( some_english_sing_not = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(121,plain,
( ( some_germans_play = $false )
| ( some_scotch_dance_not = $false )
| ( some_english_sing_not = $true )
| ( some_english_sing = $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[65,121,119,118,117,116,112,111,110,109,102,100,86,85,84,83,82,81,80,68,66]) ).
thf(123,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 00:37:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 20
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 0
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (rf:0,axioms:20,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:22,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.18/0.37
% 0.18/0.37 ********************************
% 0.18/0.37 * All subproblems solved! *
% 0.18/0.37 ********************************
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,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:122,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.38
% 0.18/0.38 %**** Beginning of derivation protocol ****
% 0.18/0.38 % SZS output start CNFRefutation
% See solution above
% 0.18/0.38
% 0.18/0.38 %**** End of derivation protocol ****
% 0.18/0.38 %**** no. of clauses in derivation: 123 ****
% 0.18/0.38 %**** clause counter: 122 ****
% 0.18/0.38
% 0.18/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,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:122,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------