TSTP Solution File: PUZ014-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ014-1 : 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 : n019.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 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  135 (  53 unt;  13 typ;   0 def)
%            Number of atoms       :  673 ( 179 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  316 ( 123   ~; 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/sandbox/benchmark/theBenchmark.p',c19) ).

thf(2,axiom,
    some_english_sing,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).

thf(3,axiom,
    ( some_germans_play
    | some_germans_play_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).

thf(4,axiom,
    ( some_welsh_eat
    | some_welsh_eat_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).

thf(5,axiom,
    ( some_irish_fight
    | some_irish_fight_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).

thf(6,axiom,
    ( some_scotch_dance
    | some_scotch_dance_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).

thf(7,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

thf(8,axiom,
    ( some_english_sing_not
    | some_english_sing ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).

thf(9,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

thf(10,axiom,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

thf(11,axiom,
    ( ~ some_english_sing
    | some_english_sing_not
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

thf(12,axiom,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).

thf(13,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).

thf(14,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

thf(15,axiom,
    ( ~ some_germans_play
    | some_scotch_dance
    | some_welsh_eat_not ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

thf(16,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake
    | some_irish_fight ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

thf(17,axiom,
    ( ~ some_germans_play
    | some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

thf(18,axiom,
    ( ~ some_scotch_dance
    | ~ some_irish_fight
    | some_welsh_eat ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

thf(19,axiom,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox/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_not_awake,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_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_not_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_not_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_english_sing )
      = $true )
    | ( ( ~ some_english_sing_not
        | some_monitors_are_awake )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(69,plain,
    ( ( ( ~ some_scotch_dance )
      = $true )
    | ( ( ~ some_irish_fight
        | some_welsh_eat )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[49]) ).

thf(70,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(71,plain,
    ( ( ( ~ some_monitors_are_awake )
      = $true )
    | ( ( ~ some_monitors_are_not_awake
        | some_irish_fight )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(72,plain,
    ( ( ( ~ some_germans_play )
      = $true )
    | ( ( some_scotch_dance
        | some_welsh_eat_not )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(73,plain,
    ( ( ( ~ some_scotch_dance_not )
      = $true )
    | ( ( ~ some_irish_fight_not
        | some_germans_play )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(74,plain,
    ( ( ( ~ some_monitors_are_awake )
      = $true )
    | ( ( ~ some_welsh_eat
        | ~ some_scotch_dance )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(75,plain,
    ( ( ( ~ some_germans_play_not )
      = $true )
    | ( ( ~ some_welsh_eat_not
        | ~ some_irish_fight )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(76,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(77,plain,
    ( ( ( ~ some_english_sing )
      = $true )
    | ( ( ~ some_monitors_are_not_awake
        | some_irish_fight_not )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(78,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(79,plain,
    ( ( some_english_sing = $true )
    | ( some_english_sing_not = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[59]) ).

thf(80,plain,
    ( ( some_monitors_are_awake = $true )
    | ( some_monitors_are_not_awake = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(81,plain,
    ( ( some_scotch_dance = $true )
    | ( some_scotch_dance_not = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(82,plain,
    ( ( some_irish_fight = $true )
    | ( some_irish_fight_not = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(83,plain,
    ( ( some_welsh_eat = $true )
    | ( some_welsh_eat_not = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[63]) ).

thf(84,plain,
    ( ( some_germans_play = $true )
    | ( some_germans_play_not = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(85,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(86,plain,
    ( ( some_english_sing = $false )
    | ( ( ~ some_english_sing_not
        | some_monitors_are_awake )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[68]) ).

thf(87,plain,
    ( ( some_scotch_dance = $false )
    | ( ( ~ some_irish_fight
        | some_welsh_eat )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(88,plain,
    ( ( some_germans_play = $false )
    | ( ( some_germans_play_not
        | some_of_the_eleven_are_not_oiling )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(89,plain,
    ( ( some_monitors_are_awake = $false )
    | ( ( ~ some_monitors_are_not_awake
        | some_irish_fight )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(90,plain,
    ( ( some_germans_play = $false )
    | ( ( some_scotch_dance
        | some_welsh_eat_not )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[72]) ).

thf(91,plain,
    ( ( some_scotch_dance_not = $false )
    | ( ( ~ some_irish_fight_not
        | some_germans_play )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(92,plain,
    ( ( some_monitors_are_awake = $false )
    | ( ( ~ some_welsh_eat
        | ~ some_scotch_dance )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(93,plain,
    ( ( some_germans_play_not = $false )
    | ( ( ~ some_welsh_eat_not
        | ~ some_irish_fight )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(94,plain,
    ( ( some_english_sing = $false )
    | ( ( some_english_sing_not
        | ~ some_scotch_dance_not
        | ~ some_germans_play )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(95,plain,
    ( ( some_english_sing = $false )
    | ( ( ~ some_monitors_are_not_awake
        | some_irish_fight_not )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(96,plain,
    ( ( some_monitors_are_awake = $false )
    | ( ( ~ some_of_the_eleven_are_not_oiling
        | some_scotch_dance )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(97,plain,
    ( ( ( ~ some_english_sing_not )
      = $true )
    | ( some_monitors_are_awake = $true )
    | ( some_english_sing = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(98,plain,
    ( ( ( ~ some_irish_fight )
      = $true )
    | ( some_welsh_eat = $true )
    | ( some_scotch_dance = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[87]) ).

thf(99,plain,
    ( ( some_germans_play_not = $true )
    | ( some_of_the_eleven_are_not_oiling = $true )
    | ( some_germans_play = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(100,plain,
    ( ( ( ~ some_monitors_are_not_awake )
      = $true )
    | ( some_irish_fight = $true )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[89]) ).

thf(101,plain,
    ( ( some_scotch_dance = $true )
    | ( some_welsh_eat_not = $true )
    | ( some_germans_play = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(102,plain,
    ( ( ( ~ some_irish_fight_not )
      = $true )
    | ( some_germans_play = $true )
    | ( some_scotch_dance_not = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(103,plain,
    ( ( ( ~ some_welsh_eat )
      = $true )
    | ( ( ~ some_scotch_dance )
      = $true )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(104,plain,
    ( ( ( ~ some_welsh_eat_not )
      = $true )
    | ( ( ~ some_irish_fight )
      = $true )
    | ( some_germans_play_not = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[93]) ).

thf(105,plain,
    ( ( some_english_sing_not = $true )
    | ( ( ~ some_scotch_dance_not
        | ~ some_germans_play )
      = $true )
    | ( some_english_sing = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(106,plain,
    ( ( ( ~ some_monitors_are_not_awake )
      = $true )
    | ( some_irish_fight_not = $true )
    | ( some_english_sing = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(107,plain,
    ( ( ( ~ some_of_the_eleven_are_not_oiling )
      = $true )
    | ( some_scotch_dance = $true )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(108,plain,
    ( ( some_english_sing_not = $false )
    | ( some_monitors_are_awake = $true )
    | ( some_english_sing = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(109,plain,
    ( ( some_irish_fight = $false )
    | ( some_welsh_eat = $true )
    | ( some_scotch_dance = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(110,plain,
    ( ( some_monitors_are_not_awake = $false )
    | ( some_irish_fight = $true )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(111,plain,
    ( ( some_irish_fight_not = $false )
    | ( some_germans_play = $true )
    | ( some_scotch_dance_not = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(112,plain,
    ( ( some_welsh_eat = $false )
    | ( ( ~ some_scotch_dance )
      = $true )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(113,plain,
    ( ( some_welsh_eat_not = $false )
    | ( ( ~ some_irish_fight )
      = $true )
    | ( some_germans_play_not = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(114,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)],[105]) ).

thf(115,plain,
    ( ( some_monitors_are_not_awake = $false )
    | ( some_irish_fight_not = $true )
    | ( some_english_sing = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(116,plain,
    ( ( some_of_the_eleven_are_not_oiling = $false )
    | ( some_scotch_dance = $true )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(117,plain,
    ( ( some_scotch_dance = $false )
    | ( some_welsh_eat = $false )
    | ( some_monitors_are_awake = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(118,plain,
    ( ( some_irish_fight = $false )
    | ( some_welsh_eat_not = $false )
    | ( some_germans_play_not = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(119,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)],[114]) ).

thf(120,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)],[119]) ).

thf(121,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[47,120,118,117,116,115,111,110,109,108,101,99,85,84,83,82,81,80,79,66,65]) ).

thf(122,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 02:15:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 20
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.36  (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).
% 0.13/0.39  
% 0.13/0.39  ********************************
% 0.13/0.39  *   All subproblems solved!    *
% 0.13/0.39  ********************************
% 0.13/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/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:121,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39  
% 0.13/0.39  %**** Beginning of derivation protocol ****
% 0.13/0.39  % SZS output start CNFRefutation
% See solution above
% 0.13/0.39  
% 0.13/0.39  %**** End of derivation protocol ****
% 0.13/0.39  %**** no. of clauses in derivation: 122 ****
% 0.13/0.39  %**** clause counter: 121 ****
% 0.13/0.39  
% 0.13/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/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:121,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------