↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : PUZ019-1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n001.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 08:21:07 AM UTC 2026

% Result   : Unsatisfiable 4.22s 2.63s
% Output   : Refutation 4.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  129 (  89 unt;   0 typ;   0 def)
%            Number of atoms       :  211 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  606 ( 138   ~;  82   |;   0   &; 386   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :   80 (   0   ^;  80   !;   0   ?;  80   :)

% Comments : 
%------------------------------------------------------------------------------
thf(has_job_decl,type,
    has_job: $i > $i > $o ).

thf(chef_decl,type,
    chef: $i ).

thf(guard_decl,type,
    guard: $i ).

thf(nurse_decl,type,
    nurse: $i ).

thf(operator_decl,type,
    operator: $i ).

thf(police_decl,type,
    police: $i ).

thf(teacher_decl,type,
    teacher: $i ).

thf(actor_decl,type,
    actor: $i ).

thf(boxer_decl,type,
    boxer: $i ).

thf(equal_jobs_decl,type,
    equal_jobs: $i > $i > $o ).

thf(equal_people_decl,type,
    equal_people: $i > $i > $o ).

thf(roberta_decl,type,
    roberta: $i ).

thf(steve_decl,type,
    steve: $i ).

thf(husband_decl,type,
    husband: $i > $i > $o ).

thf(male_decl,type,
    male: $i > $o ).

thf(female_decl,type,
    female: $i > $o ).

thf(pete_decl,type,
    pete: $i ).

thf(educated_decl,type,
    educated: $i > $o ).

thf(thelma_decl,type,
    thelma: $i ).

thf(29,axiom,
    ~ ( teacher @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_teacher) ).

thf(115,plain,
    ~ ( teacher @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(48,axiom,
    ! [A: $i] :
      ( ( A @ female )
      | ~ ( chef @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_is_female) ).

thf(153,plain,
    ! [A: $i] :
      ( ( A @ female )
      | ~ ( chef @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(64,axiom,
    ! [A: $i] :
      ( ( A @ educated )
      | ~ ( nurse @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_is_educated) ).

thf(185,plain,
    ! [A: $i] :
      ( ( A @ educated )
      | ~ ( nurse @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(8,axiom,
    pete @ male,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_is_male) ).

thf(78,plain,
    pete @ male,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(30,axiom,
    ~ ( teacher @ ( operator @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_teacher) ).

thf(117,plain,
    ~ ( teacher @ ( operator @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(26,axiom,
    ~ ( actor @ ( nurse @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_actor) ).

thf(109,plain,
    ~ ( actor @ ( nurse @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(19,axiom,
    ~ ( steve @ ( pete @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_not_steve) ).

thf(95,plain,
    ~ ( steve @ ( pete @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ male )
      | ~ ( nurse @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_is_male) ).

thf(99,plain,
    ! [A: $i] :
      ( ( A @ male )
      | ~ ( nurse @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(3,axiom,
    ~ ( steve @ ( roberta @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_not_steve) ).

thf(69,plain,
    ~ ( steve @ ( roberta @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(22,axiom,
    ~ ( teacher @ ( police @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_teacher) ).

thf(101,plain,
    ~ ( teacher @ ( police @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(15,axiom,
    ~ ( steve @ ( thelma @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thelma_not_steve) ).

thf(88,plain,
    ~ ( steve @ ( thelma @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(34,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ husband ) )
      | ~ ( operator @ ( B @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_of_chef_is_operator1) ).

thf(125,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ husband ) )
      | ~ ( operator @ ( B @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(50,axiom,
    ~ ( teacher @ ( nurse @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_teacher) ).

thf(157,plain,
    ~ ( teacher @ ( nurse @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(61,axiom,
    ! [A: $i] :
      ( ( A @ ( steve @ has_job ) )
      | ( A @ ( pete @ has_job ) )
      | ( A @ ( thelma @ has_job ) )
      | ( A @ ( roberta @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_job_is_used) ).

thf(179,plain,
    ! [A: $i] :
      ( ( A @ ( steve @ has_job ) )
      | ( A @ ( pete @ has_job ) )
      | ( A @ ( thelma @ has_job ) )
      | ( A @ ( roberta @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(32,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ( C @ equal_jobs ) )
      | ( D @ ( B @ equal_jobs ) )
      | ( C @ ( B @ equal_jobs ) )
      | ~ ( D @ ( A @ has_job ) )
      | ~ ( C @ ( A @ has_job ) )
      | ~ ( B @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_has_maximum_of_two_jobs) ).

thf(121,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( D @ ( C @ equal_jobs ) )
      | ( D @ ( B @ equal_jobs ) )
      | ( C @ ( B @ equal_jobs ) )
      | ~ ( D @ ( A @ has_job ) )
      | ~ ( C @ ( A @ has_job ) )
      | ~ ( B @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(13,axiom,
    ~ ( thelma @ ( pete @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_not_thelma) ).

thf(84,plain,
    ~ ( thelma @ ( pete @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(45,axiom,
    ~ ( teacher @ ( boxer @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxer_not_teacher) ).

thf(147,plain,
    ~ ( teacher @ ( boxer @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(38,axiom,
    ~ ( teacher @ ( actor @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_not_teacher) ).

thf(133,plain,
    ~ ( teacher @ ( actor @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(40,axiom,
    ~ ( boxer @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_boxer) ).

thf(137,plain,
    ~ ( boxer @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(54,axiom,
    ~ ( boxer @ ( operator @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_boxer) ).

thf(165,plain,
    ~ ( boxer @ ( operator @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(17,axiom,
    ~ ( pete @ ( roberta @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_not_pete) ).

thf(92,plain,
    ~ ( pete @ ( roberta @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(1,negated_conjecture,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( boxer @ ( H @ has_job ) )
      | ~ ( actor @ ( G @ has_job ) )
      | ~ ( teacher @ ( F @ has_job ) )
      | ~ ( police @ ( E @ has_job ) )
      | ~ ( operator @ ( D @ has_job ) )
      | ~ ( nurse @ ( C @ has_job ) )
      | ~ ( guard @ ( B @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_who_has_each_job) ).

thf(65,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( boxer @ ( H @ has_job ) )
      | ~ ( actor @ ( G @ has_job ) )
      | ~ ( teacher @ ( F @ has_job ) )
      | ~ ( police @ ( E @ has_job ) )
      | ~ ( operator @ ( D @ has_job ) )
      | ~ ( nurse @ ( C @ has_job ) )
      | ~ ( guard @ ( B @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( A @ female )
      | ( A @ male ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_male_or_female) ).

thf(97,plain,
    ! [A: $i] :
      ( ( A @ female )
      | ( A @ male ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(56,axiom,
    ! [A: $i] :
      ( ~ ( police @ ( A @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_is_not_also_police) ).

thf(169,plain,
    ! [A: $i] :
      ( ~ ( police @ ( A @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(42,axiom,
    ~ ( police @ ( nurse @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_police) ).

thf(141,plain,
    ~ ( police @ ( nurse @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(58,axiom,
    ~ ( boxer @ ( roberta @ has_job ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_boxer) ).

thf(173,plain,
    ~ ( boxer @ ( roberta @ has_job ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(36,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ husband ) )
      | ( operator @ ( B @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_of_chef_is_operator2) ).

thf(129,plain,
    ! [B: $i,A: $i] :
      ( ~ ( B @ ( A @ husband ) )
      | ( operator @ ( B @ has_job ) )
      | ~ ( chef @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ male )
      | ~ ( B @ ( A @ husband ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_is_male) ).

thf(73,plain,
    ! [B: $i,A: $i] :
      ( ( B @ male )
      | ~ ( B @ ( A @ husband ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(24,axiom,
    ~ ( police @ ( operator @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_police) ).

thf(105,plain,
    ~ ( police @ ( operator @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(52,axiom,
    ~ ( actor @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_actor) ).

thf(161,plain,
    ~ ( actor @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(46,axiom,
    ~ ( teacher @ ( guard @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_teacher) ).

thf(149,plain,
    ~ ( teacher @ ( guard @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(4,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ equal_people ) )
      | ~ ( B @ ( A @ equal_people ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equal_people) ).

thf(71,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ equal_people ) )
      | ~ ( B @ ( A @ equal_people ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(62,axiom,
    ! [A: $i] :
      ( ( boxer @ ( A @ has_job ) )
      | ( actor @ ( A @ has_job ) )
      | ( teacher @ ( A @ has_job ) )
      | ( police @ ( A @ has_job ) )
      | ( operator @ ( A @ has_job ) )
      | ( nurse @ ( A @ has_job ) )
      | ( guard @ ( A @ has_job ) )
      | ( chef @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_works) ).

thf(181,plain,
    ! [A: $i] :
      ( ( boxer @ ( A @ has_job ) )
      | ( actor @ ( A @ has_job ) )
      | ( teacher @ ( A @ has_job ) )
      | ( police @ ( A @ has_job ) )
      | ( operator @ ( A @ has_job ) )
      | ( nurse @ ( A @ has_job ) )
      | ( guard @ ( A @ has_job ) )
      | ( chef @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ female )
      | ~ ( B @ ( A @ husband ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wife_is_female) ).

thf(86,plain,
    ! [B: $i,A: $i] :
      ( ( A @ female )
      | ~ ( B @ ( A @ husband ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(51,axiom,
    ~ ( police @ ( guard @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_police) ).

thf(159,plain,
    ~ ( police @ ( guard @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(28,axiom,
    ~ ( actor @ ( operator @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_actor) ).

thf(113,plain,
    ~ ( actor @ ( operator @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ~ ( A @ female )
      | ~ ( A @ male ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',males_are_not_female) ).

thf(76,plain,
    ! [A: $i] :
      ( ~ ( A @ female )
      | ~ ( A @ male ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(23,axiom,
    ~ ( boxer @ ( police @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_boxer) ).

thf(103,plain,
    ~ ( boxer @ ( police @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(49,axiom,
    ~ ( boxer @ ( guard @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_boxer) ).

thf(155,plain,
    ~ ( boxer @ ( guard @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(39,axiom,
    ~ ( police @ ( roberta @ has_job ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_police) ).

thf(135,plain,
    ~ ( police @ ( roberta @ has_job ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(10,axiom,
    ~ ( pete @ educated ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_is_not_educated) ).

thf(80,plain,
    ~ ( pete @ educated ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(55,axiom,
    ~ ( operator @ ( nurse @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_operator) ).

thf(167,plain,
    ~ ( operator @ ( nurse @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(33,axiom,
    ~ ( actor @ ( guard @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_actor) ).

thf(123,plain,
    ~ ( actor @ ( guard @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(44,axiom,
    ~ ( operator @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_operator) ).

thf(145,plain,
    ~ ( operator @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ equal_jobs ) )
      | ~ ( B @ ( A @ equal_jobs ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equal_jobs) ).

thf(67,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ equal_jobs ) )
      | ~ ( B @ ( A @ equal_jobs ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(60,axiom,
    ~ ( guard @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_guard) ).

thf(177,plain,
    ~ ( guard @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( A @ educated )
      | ~ ( police @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_is_educated) ).

thf(127,plain,
    ! [A: $i] :
      ( ( A @ educated )
      | ~ ( police @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(59,axiom,
    ~ ( boxer @ ( actor @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_not_boxer) ).

thf(175,plain,
    ~ ( boxer @ ( actor @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(43,axiom,
    ~ ( police @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_police) ).

thf(143,plain,
    ~ ( police @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(57,axiom,
    ~ ( boxer @ ( nurse @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_boxer) ).

thf(171,plain,
    ~ ( boxer @ ( nurse @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(41,axiom,
    ~ ( chef @ ( roberta @ has_job ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_chef) ).

thf(139,plain,
    ~ ( chef @ ( roberta @ has_job ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(6,axiom,
    roberta @ female,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_female) ).

thf(75,plain,
    roberta @ female,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(31,axiom,
    ~ ( nurse @ ( guard @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_nurse) ).

thf(119,plain,
    ~ ( nurse @ ( guard @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(11,axiom,
    steve @ male,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',steve_is_male) ).

thf(82,plain,
    steve @ male,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(47,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ equal_people ) )
      | ~ ( B @ ( C @ has_job ) )
      | ~ ( B @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_job_held_once) ).

thf(151,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( C @ ( A @ equal_people ) )
      | ~ ( B @ ( C @ has_job ) )
      | ~ ( B @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(63,axiom,
    ! [A: $i] :
      ( ( A @ educated )
      | ~ ( teacher @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teacher_is_educated) ).

thf(183,plain,
    ! [A: $i] :
      ( ( A @ educated )
      | ~ ( teacher @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(25,axiom,
    ~ ( nurse @ ( chef @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_not_nurse) ).

thf(107,plain,
    ~ ( nurse @ ( chef @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(9,axiom,
    ! [A: $i] : ( A @ ( A @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equal_jobs) ).

thf(79,plain,
    ! [A: $i] : ( A @ ( A @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(18,axiom,
    ! [A: $i] : ( A @ ( A @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equal_people) ).

thf(94,plain,
    ! [A: $i] : ( A @ ( A @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( A @ male )
      | ~ ( actor @ ( A @ has_job ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_is_male) ).

thf(131,plain,
    ! [A: $i] :
      ( ( A @ male )
      | ~ ( actor @ ( A @ has_job ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(53,axiom,
    ~ ( operator @ ( guard @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guard_not_operator) ).

thf(163,plain,
    ~ ( operator @ ( guard @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(12,axiom,
    thelma @ female,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thelma_is_female) ).

thf(83,plain,
    thelma @ female,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(16,axiom,
    ~ ( thelma @ ( roberta @ equal_people ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_not_thelma) ).

thf(90,plain,
    ~ ( thelma @ ( roberta @ equal_people ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(27,axiom,
    ~ ( actor @ ( police @ equal_jobs ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_actor) ).

thf(111,plain,
    ~ ( actor @ ( police @ equal_jobs ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(187,plain,
    $false,
    inference(e,[status(thm)],[115,153,185,78,117,109,95,99,69,101,88,125,157,179,121,84,147,133,137,165,92,65,97,169,141,173,129,73,105,161,149,71,181,86,159,113,76,103,155,135,80,167,123,145,67,177,127,175,143,171,139,75,119,82,151,183,107,79,94,131,163,83,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ019-1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.41  % Computer : n001.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sat Sep 26 05:11:12 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/1.01  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.34/1.22  % [INFO] 	 Parsing done (214ms). 
% 1.34/1.24  % [INFO] 	 Running in sequential loop mode. 
% 2.01/1.64  % [INFO] 	 eprover registered as external prover. 
% 2.01/1.65  % [INFO] 	 Scanning for conjecture ... 
% 2.20/1.76  % [INFO] 	 Found a conjecture (or negated_conjecture) and 63 axioms. Running axiom selection ... 
% 2.38/1.86  % [INFO] 	 Axiom selection finished. Selected 63 axioms (removed 0 axioms). 
% 2.60/1.91  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.60/1.91  % [INFO] 	 Type checking passed. 
% 2.60/1.92  % [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 ... 
% 4.22/2.63  % External prover 'e' found a proof!
% 4.22/2.63  % [INFO] 	 Killing All external provers ... 
% 4.22/2.63  % Time passed: 2067ms (effective reasoning time: 1385ms)
% 4.22/2.63  % Axioms used in derivation (63): husband_is_male, nurse_not_boxer, operator_not_boxer, nurse_not_operator, roberta_is_not_police, actor_not_teacher, wife_is_female, symmetry_of_equal_jobs, everyone_works, every_job_is_used, guard_not_boxer, chef_is_female, guard_not_nurse, roberta_not_pete, actor_not_boxer, teacher_is_educated, roberta_not_steve, roberta_is_not_boxer, boxer_not_teacher, nurse_not_teacher, chef_not_teacher, thelma_not_steve, chef_not_police, roberta_not_thelma, reflexivity_for_equal_jobs, roberta_is_female, husband_of_chef_is_operator1, guard_not_teacher, pete_not_steve, police_not_teacher, symmetry_of_equal_people, nurse_is_educated, each_has_maximum_of_two_jobs, pete_is_not_educated, chef_not_operator, actor_is_male, each_job_held_once, husband_of_chef_is_operator2, guard_not_police, operator_not_actor, males_are_not_female, chef_not_guard, nurse_not_police, steve_is_male, guard_not_actor, chef_is_not_also_police, police_not_actor, pete_is_male, chef_not_boxer, operator_not_teacher, nurse_is_male, chef_not_actor, police_is_educated, operator_not_police, everyone_male_or_female, chef_not_nurse, pete_not_thelma, guard_not_operator, police_not_boxer, nurse_not_actor, roberta_is_not_chef, thelma_is_female, reflexivity_for_equal_people
% 4.22/2.63  % No. of inferences in proof: 129
% 4.22/2.63  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2067 ms resp. 1385 ms w/o parsing
% 4.49/2.72  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.49/2.72  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------