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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:21:03 AM UTC 2026

% Result   : Unsatisfiable 2.04s 6.56s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  103 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  225 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  608 ( 142   ~; 122   |;   0   &; 344   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   4 con; 0-3 aty)
%            Number of variables   :  112 (   0   ^; 112   !;   0   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
thf(thursday_decl,type,
    thursday: $i > $o ).

thf(today_decl,type,
    today: $i ).

thf(monday_decl,type,
    monday: $i > $o ).

thf(yesterday_decl,type,
    yesterday: $i > $i ).

thf(tuesday_decl,type,
    tuesday: $i > $o ).

thf(wednesday_decl,type,
    wednesday: $i > $o ).

thf(saturday_decl,type,
    saturday: $i > $o ).

thf(member_decl,type,
    member: $i > $i > $o ).

thf(lying_days_decl,type,
    lying_days: $i > $i ).

thf(admits_decl,type,
    admits: $i > $i > $i > $o ).

thf(sunday_decl,type,
    sunday: $i > $o ).

thf(lion_decl,type,
    lion: $i ).

thf(friday_decl,type,
    friday: $i > $o ).

thf(unicorn_decl,type,
    unicorn: $i ).

thf(19,axiom,
    ! [A: $i] :
      ( ~ ( A @ wednesday )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_wednesday) ).

thf(88,plain,
    ! [A: $i] :
      ( ~ ( A @ wednesday )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( A @ wednesday )
      | ~ ( A @ yesterday @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_yesterday) ).

thf(120,plain,
    ! [A: $i] :
      ( ( A @ wednesday )
      | ~ ( A @ yesterday @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_saturday) ).

thf(56,plain,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_sunday) ).

thf(78,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(21,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ lying_days @ ( C @ member ) )
      | ~ ( C @ ( A @ ( B @ admits ) ) )
      | ( B @ lying_days @ ( A @ member ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions1) ).

thf(92,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ lying_days @ ( C @ member ) )
      | ~ ( C @ ( A @ ( B @ admits ) ) )
      | ( B @ lying_days @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(46,axiom,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ( A @ yesterday @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_wednesday) ).

thf(141,plain,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ( A @ yesterday @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ( A @ sunday )
      | ( A @ saturday )
      | ( A @ friday )
      | ( A @ thursday )
      | ( A @ wednesday )
      | ( A @ tuesday )
      | ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',it_is_a_day) ).

thf(128,plain,
    ! [A: $i] :
      ( ( A @ sunday )
      | ( A @ saturday )
      | ( A @ friday )
      | ( A @ thursday )
      | ( A @ wednesday )
      | ( A @ tuesday )
      | ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ~ ( A @ wednesday )
      | ~ ( A @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_wednesday) ).

thf(118,plain,
    ! [A: $i] :
      ( ~ ( A @ wednesday )
      | ~ ( A @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A @ sunday )
      | ~ ( A @ yesterday @ saturday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_yesterday) ).

thf(104,plain,
    ! [A: $i] :
      ( ( A @ sunday )
      | ~ ( A @ yesterday @ saturday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(51,axiom,
    today @ yesterday @ ( today @ ( unicorn @ admits ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions6) ).

thf(151,plain,
    today @ yesterday @ ( today @ ( unicorn @ admits ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(1,negated_conjecture,
    ~ ( today @ thursday ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_today_is_thursday) ).

thf(52,plain,
    ~ ( today @ thursday ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(30,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ lying_days @ ( C @ member ) )
      | ~ ( C @ ( A @ ( B @ admits ) ) )
      | ~ ( B @ lying_days @ ( A @ member ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions3) ).

thf(110,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ lying_days @ ( C @ member ) )
      | ~ ( C @ ( A @ ( B @ admits ) ) )
      | ~ ( B @ lying_days @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(28,axiom,
    ! [A: $i] :
      ( ( A @ saturday )
      | ~ ( A @ yesterday @ friday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_yesterday) ).

thf(106,plain,
    ! [A: $i] :
      ( ( A @ saturday )
      | ~ ( A @ yesterday @ friday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ~ ( A @ tuesday )
      | ( A @ yesterday @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_monday) ).

thf(84,plain,
    ! [A: $i] :
      ( ~ ( A @ tuesday )
      | ( A @ yesterday @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(49,axiom,
    ! [A: $i] :
      ( ( unicorn @ lying_days @ ( A @ member ) )
      | ~ ( A @ thursday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_thursday) ).

thf(147,plain,
    ! [A: $i] :
      ( ( unicorn @ lying_days @ ( A @ member ) )
      | ~ ( A @ thursday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(42,axiom,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ~ ( A @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).

thf(133,plain,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ~ ( A @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ( A @ yesterday @ saturday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_saturday) ).

thf(116,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ( A @ yesterday @ saturday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( A @ wednesday )
      | ( A @ tuesday )
      | ( A @ monday )
      | ~ ( lion @ lying_days @ ( A @ member ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lions_lying_days) ).

thf(74,plain,
    ! [A: $i] :
      ( ( A @ wednesday )
      | ( A @ tuesday )
      | ( A @ monday )
      | ~ ( lion @ lying_days @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_sunday) ).

thf(60,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(26,axiom,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_friday) ).

thf(102,plain,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_friday) ).

thf(70,plain,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(44,axiom,
    ! [A: $i] :
      ( ( A @ friday )
      | ~ ( A @ yesterday @ thursday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_yesterday) ).

thf(137,plain,
    ! [A: $i] :
      ( ( A @ friday )
      | ~ ( A @ yesterday @ thursday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( A @ saturday )
      | ( A @ friday )
      | ( A @ thursday )
      | ~ ( unicorn @ lying_days @ ( A @ member ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorns_lying_days) ).

thf(124,plain,
    ! [A: $i] :
      ( ( A @ saturday )
      | ( A @ friday )
      | ( A @ thursday )
      | ~ ( unicorn @ lying_days @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ~ ( A @ monday )
      | ( A @ yesterday @ sunday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_sunday) ).

thf(96,plain,
    ! [A: $i] :
      ( ~ ( A @ monday )
      | ( A @ yesterday @ sunday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( lion @ lying_days @ ( A @ member ) )
      | ~ ( A @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_tuesday) ).

thf(64,plain,
    ! [A: $i] :
      ( ( lion @ lying_days @ ( A @ member ) )
      | ~ ( A @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(50,axiom,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ thursday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_not_saturday) ).

thf(149,plain,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ thursday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(2,axiom,
    ! [A: $i] :
      ( ( A @ tuesday )
      | ~ ( A @ yesterday @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_yesterday) ).

thf(54,plain,
    ! [A: $i] :
      ( ( A @ tuesday )
      | ~ ( A @ yesterday @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( unicorn @ lying_days @ ( A @ member ) )
      | ~ ( A @ friday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_friday) ).

thf(86,plain,
    ! [A: $i] :
      ( ( unicorn @ lying_days @ ( A @ member ) )
      | ~ ( A @ friday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(13,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ lying_days @ ( C @ member ) )
      | ( C @ ( A @ ( B @ admits ) ) )
      | ~ ( B @ lying_days @ ( A @ member ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions4) ).

thf(76,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( B @ lying_days @ ( C @ member ) )
      | ( C @ ( A @ ( B @ admits ) ) )
      | ~ ( B @ lying_days @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( unicorn @ lying_days @ ( A @ member ) )
      | ~ ( A @ saturday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_saturday) ).

thf(98,plain,
    ! [A: $i] :
      ( ( unicorn @ lying_days @ ( A @ member ) )
      | ~ ( A @ saturday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( lion @ lying_days @ ( A @ member ) )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_monday) ).

thf(66,plain,
    ! [A: $i] :
      ( ( lion @ lying_days @ ( A @ member ) )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_saturday) ).

thf(108,plain,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(40,axiom,
    today @ yesterday @ ( today @ ( lion @ admits ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions5) ).

thf(130,plain,
    today @ yesterday @ ( today @ ( lion @ admits ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(43,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ thursday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_not_sunday) ).

thf(135,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ thursday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( lion @ lying_days @ ( A @ member ) )
      | ~ ( A @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_wednesday) ).

thf(80,plain,
    ! [A: $i] :
      ( ( lion @ lying_days @ ( A @ member ) )
      | ~ ( A @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(31,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_sunday) ).

thf(112,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(48,axiom,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ( A @ yesterday @ thursday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_thursday) ).

thf(145,plain,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ( A @ yesterday @ thursday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ friday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_not_sunday) ).

thf(72,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ friday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(47,axiom,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_thursday) ).

thf(143,plain,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(32,axiom,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ( A @ yesterday @ friday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_friday) ).

thf(114,plain,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ( A @ yesterday @ friday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(45,axiom,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ~ ( A @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_thursday) ).

thf(139,plain,
    ! [A: $i] :
      ( ~ ( A @ thursday )
      | ~ ( A @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(4,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ lying_days @ ( C @ member ) )
      | ( C @ ( A @ ( B @ admits ) ) )
      | ( B @ lying_days @ ( A @ member ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions2) ).

thf(58,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( B @ lying_days @ ( C @ member ) )
      | ( C @ ( A @ ( B @ admits ) ) )
      | ( B @ lying_days @ ( A @ member ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_friday) ).

thf(82,plain,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ thursday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_not_friday) ).

thf(126,plain,
    ! [A: $i] :
      ( ~ ( A @ friday )
      | ~ ( A @ thursday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ saturday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_not_sunday) ).

thf(94,plain,
    ! [A: $i] :
      ( ~ ( A @ sunday )
      | ~ ( A @ saturday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( A @ thursday )
      | ~ ( A @ yesterday @ wednesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_yesterday) ).

thf(131,plain,
    ! [A: $i] :
      ( ( A @ thursday )
      | ~ ( A @ yesterday @ wednesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( A @ wednesday )
      | ( A @ yesterday @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_tuesday) ).

thf(68,plain,
    ! [A: $i] :
      ( ~ ( A @ wednesday )
      | ( A @ yesterday @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ tuesday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_saturday) ).

thf(62,plain,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ tuesday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( A @ monday )
      | ~ ( A @ yesterday @ sunday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_yesterday) ).

thf(90,plain,
    ! [A: $i] :
      ( ( A @ monday )
      | ~ ( A @ yesterday @ sunday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ~ ( A @ tuesday )
      | ~ ( A @ monday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_tuesday) ).

thf(122,plain,
    ! [A: $i] :
      ( ~ ( A @ tuesday )
      | ~ ( A @ monday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ friday ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_not_saturday) ).

thf(100,plain,
    ! [A: $i] :
      ( ~ ( A @ saturday )
      | ~ ( A @ friday ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(152,plain,
    $false,
    inference(e,[status(thm)],[88,120,56,78,92,141,128,118,104,151,52,110,106,84,147,133,116,74,60,102,70,137,124,96,64,149,54,86,76,98,66,108,130,135,80,112,145,72,143,114,139,58,82,126,94,131,68,62,90,122,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.08/5.53  % Computer : n012.cluster.edu
% 0.08/5.53  % Model    : x86_64 x86_64
% 0.08/5.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.53  % Memory   : 8046.5625MB
% 0.08/5.53  % OS       : Linux 6.8.0-71-generic
% 0.08/5.53  % CPULimit : 300
% 0.08/5.53  % WCLimit  : 300
% 0.08/5.53  % DateTime : Sat Sep 26 05:02:56 UTC 2026
% 0.08/5.53  % CPUTime  : 
% 0.08/5.53  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.10/5.81  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.10/5.91  % [INFO] 	 Parsing done (95ms). 
% 0.10/5.92  % [INFO] 	 Running in sequential loop mode. 
% 0.92/6.10  % [INFO] 	 eprover registered as external prover. 
% 0.92/6.10  % [INFO] 	 Scanning for conjecture ... 
% 1.10/6.14  % [INFO] 	 Found a conjecture (or negated_conjecture) and 50 axioms. Running axiom selection ... 
% 1.10/6.18  % [INFO] 	 Axiom selection finished. Selected 50 axioms (removed 0 axioms). 
% 1.26/6.21  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.26/6.21  % [INFO] 	 Type checking passed. 
% 1.26/6.21  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 2.04/6.56  % External prover 'e' found a proof!
% 2.04/6.56  % [INFO] 	 Killing All external provers ... 
% 2.04/6.56  % Time passed: 947ms (effective reasoning time: 642ms)
% 2.04/6.56  % Axioms used in derivation (50): yesterday_saturday, lion_lies_on_monday, lions_lying_days, yesterday_sunday, monday_not_sunday, friday_yesterday, yesterday_tuesday, thursday_not_friday, saturday_yesterday, yesterday_wednesday, wednesday_yesterday, friday_not_sunday, unicorns_lying_days, saturday_not_sunday, admissions3, monday_not_saturday, unicorn_lies_on_thursday, lion_lies_on_tuesday, sunday_yesterday, unicorn_lies_on_friday, wednesday_not_saturday, monday_yesterday, admissions4, thursday_not_sunday, wednesday_not_sunday, lion_lies_on_wednesday, monday_not_wednesday, admissions2, it_is_a_day, tuesday_not_wednesday, tuesday_not_sunday, tuesday_not_friday, wednesday_not_thursday, admissions5, yesterday_friday, admissions1, tuesday_not_thursday, thursday_yesterday, yesterday_monday, yesterday_thursday, monday_not_tuesday, wednesday_not_friday, thursday_not_saturday, monday_not_friday, monday_not_thursday, friday_not_saturday, tuesday_not_saturday, unicorn_lies_on_saturday, admissions6, tuesday_yesterday
% 2.04/6.56  % No. of inferences in proof: 103
% 2.04/6.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 947 ms resp. 642 ms w/o parsing
% 2.32/6.60  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.32/6.60  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------