%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT065-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n008.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 08:00:50 AM UTC 2026
% Result : Unsatisfiable 19.53s 15.86s
% Output : Refutation 18.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 52
% Syntax : Number of formulae : 105 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 259 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 808 ( 114 ~; 154 |; 0 &; 540 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 14 con; 0-3 aty)
% Number of variables : 142 ( 0 ^; 142 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(robust_position_decl,type,
robust_position: $i > $o ).
thf(fragile_position_decl,type,
fragile_position: $i > $o ).
thf(has_endowment_decl,type,
has_endowment: $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(zero_decl,type,
zero: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(sigma_decl,type,
sigma: $i ).
thf(tau_decl,type,
tau: $i ).
thf(eta_decl,type,
eta: $i ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(dissimilar_decl,type,
dissimilar: $i > $i > $i > $o ).
thf(is_aligned_decl,type,
is_aligned: $i > $i > $o ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(positional_advantage_decl,type,
positional_advantage: $i > $i > $o ).
thf(low_decl,type,
low: $i ).
thf(very_low_decl,type,
very_low: $i ).
thf(high_decl,type,
high: $i ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(mod1_decl,type,
mod1: $i ).
thf(mod2_decl,type,
mod2: $i ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_50) ).
thf(88,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(35,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_52) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(125,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(6,negated_conjecture,
zero @ ( tau @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_72) ).
thf(57,plain,
zero @ ( tau @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(11,negated_conjecture,
sigma @ ( sk5 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_77) ).
thf(64,plain,
sigma @ ( sk5 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(13,negated_conjecture,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_79) ).
thf(59,plain,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,negated_conjecture,
( ( sk3 @ ( sk2 @ age ) )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_70) ).
thf(66,plain,
( ( sk3 @ ( sk2 @ age ) )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_46) ).
thf(135,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(52,axiom,
! [C: $i,B: $i,A: $i] :
( ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_56) ).
thf(154,plain,
! [C: $i,B: $i,A: $i] :
( ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(29,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(104,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(1,negated_conjecture,
sk2 @ organization,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_67) ).
thf(56,plain,
sk2 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(47,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_55) ).
thf(142,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(51,axiom,
mod1 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a_62) ).
thf(153,plain,
mod1 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(30,axiom,
low @ ( mod1 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_63) ).
thf(106,plain,
low @ ( mod1 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(49,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(147,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(12,negated_conjecture,
tau @ ( sk5 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_78) ).
thf(61,plain,
tau @ ( sk5 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(42,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_59) ).
thf(132,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= high )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_61) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= high )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(28,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_51) ).
thf(102,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(2,negated_conjecture,
( ( sk2 @ fragile_position )
| ( sk2 @ robust_position ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_68) ).
thf(60,plain,
( ( sk2 @ fragile_position )
| ( sk2 @ robust_position ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(36,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(117,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_40) ).
thf(92,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,negated_conjecture,
sigma @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_74) ).
thf(65,plain,
sigma @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,negated_conjecture,
zero @ ( sigma @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_71) ).
thf(53,plain,
zero @ ( sigma @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(46,axiom,
low @ ( mod2 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e_66) ).
thf(141,plain,
low @ ( mod2 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(109,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(96,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_49) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 )
| ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_60) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 )
| ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_48) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(10,negated_conjecture,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_76) ).
thf(54,plain,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(113,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_41) ).
thf(98,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,axiom,
mod2 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d_65) ).
thf(112,plain,
mod2 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(48,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_47) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(3,negated_conjecture,
sk2 @ has_endowment,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_69) ).
thf(63,plain,
sk2 @ has_endowment,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_54) ).
thf(150,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(14,negated_conjecture,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_80) ).
thf(55,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(45,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_42) ).
thf(139,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(75,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_57) ).
thf(82,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_44) ).
thf(119,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(9,negated_conjecture,
tau @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_75) ).
thf(58,plain,
tau @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_53) ).
thf(107,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= low )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_58) ).
thf(79,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= low )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(24,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(41,axiom,
very_low @ ( low @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c_64) ).
thf(131,plain,
very_low @ ( low @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(7,negated_conjecture,
zero @ ( eta @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_73) ).
thf(62,plain,
zero @ ( eta @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_45) ).
thf(90,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_43) ).
thf(100,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(3629,plain,
$false,
inference(e,[status(thm)],[88,115,125,57,137,64,59,66,135,154,104,56,142,153,106,121,147,61,132,85,102,60,117,92,65,53,141,109,96,73,128,71,54,113,98,112,145,63,150,55,139,75,82,119,58,107,79,94,131,62,90,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT065-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % 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
% 0.13/10.84 % Computer : n008.cluster.edu
% 0.13/10.84 % Model : x86_64 x86_64
% 0.13/10.84 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.84 % Memory : 8046.5625MB
% 0.13/10.84 % OS : Linux 6.8.0-71-generic
% 0.13/10.84 % CPULimit : 300
% 0.13/10.84 % WCLimit : 300
% 0.13/10.84 % DateTime : Sat Sep 26 00:12:05 UTC 2026
% 0.13/10.84 % CPUTime :
% 0.13/10.84 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
% 0.94/11.43 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/11.65 % [INFO] Parsing done (221ms).
% 1.25/11.67 % [INFO] Running in sequential loop mode.
% 2.06/12.06 % [INFO] eprover registered as external prover.
% 2.06/12.07 % [INFO] Scanning for conjecture ...
% 2.26/12.19 % [INFO] Found a conjecture (or negated_conjecture) and 38 axioms. Running axiom selection ...
% 2.38/12.27 % [INFO] Axiom selection finished. Selected 38 axioms (removed 0 axioms).
% 2.58/12.32 % [INFO] Problem is propositional (TPTP CNF).
% 2.58/12.33 % [INFO] Type checking passed.
% 2.58/12.34 % [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 ...
% 19.53/15.86 % External prover 'e' found a proof!
% 19.53/15.86 % [INFO] Killing All external provers ...
% 19.53/15.86 % Time passed: 4877ms (effective reasoning time: 4189ms)
% 19.53/15.86 % Axioms used in derivation (38): assumption_17_59, definition_2_50, definition_greater_or_equal_5, definition_1_44, definition_2_51, definition_1_41, definition_2_47, assumption_18d_65, assumption_17_57, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_1_46, assumption_17_58, assumption_13_54, assumption_18c_64, definition_2_48, definition_1_40, definition_1_43, definition_smaller_or_equal_3, assumption_15_55, definition_greater_or_equal_6, assumption_18a_62, definition_2_52, definition_1_42, definition_smaller_or_equal_2, assumption_17_61, assumption_17_60, definition_greater_or_equal_4, definition_smaller_8, definition_2_53, meaning_postulate_greater_transitive_10, meaning_postulate_greater_strict_9, assumption_18b_63, assumption_15_56, definition_2_49, definition_smaller_7, assumption_18e_66, definition_1_45
% 19.53/15.86 % No. of inferences in proof: 105
% 19.53/15.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 4877 ms resp. 4189 ms w/o parsing
% 18.40/15.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.40/15.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------