%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n009.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 08:00:47 AM UTC 2026
% Result : Unsatisfiable 6.49s 3.17s
% Output : Refutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 42
% Syntax : Number of formulae : 85 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 229 ( 22 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 780 ( 114 ~; 144 |; 0 &; 522 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 146 ( 0 ^; 146 !; 0 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
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(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(sk4_decl,type,
sk4: $i ).
thf(eta_decl,type,
eta: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(sk5_decl,type,
sk5: $i ).
thf(sigma_decl,type,
sigma: $i ).
thf(sk6_decl,type,
sk6: $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(capability_decl,type,
capability: $i > $i > $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_48) ).
thf(56,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)],[11]) ).
thf(6,negated_conjecture,
sigma @ ( sk5 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_64) ).
thf(46,plain,
sigma @ ( sk5 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_44) ).
thf(121,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)],[39]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_40) ).
thf(74,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)],[19]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(42,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(10,negated_conjecture,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_68) ).
thf(44,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,negated_conjecture,
sigma @ ( sk6 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_65) ).
thf(49,plain,
sigma @ ( sk6 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
sk2 @ has_endowment,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_60) ).
thf(48,plain,
sk2 @ has_endowment,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
( ( sk3 @ ( sk2 @ age ) )
= zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_61) ).
thf(50,plain,
( ( sk3 @ ( sk2 @ age ) )
= zero ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(36,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/sandbox2/benchmark/theBenchmark.p',assumption_15_57) ).
thf(114,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)],[36]) ).
thf(8,negated_conjecture,
eta @ ( sigma @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_66) ).
thf(51,plain,
eta @ ( sigma @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,negated_conjecture,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_62) ).
thf(52,plain,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(34,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_46) ).
thf(110,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(24,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14_55) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(31,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(102,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(60,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(37,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/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).
thf(117,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)],[37]) ).
thf(27,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_47) ).
thf(92,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,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/sandbox2/benchmark/theBenchmark.p',assumption_15_56) ).
thf(97,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)],[29]) ).
thf(1,negated_conjecture,
sk2 @ organization,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_59) ).
thf(45,plain,
sk2 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_50) ).
thf(64,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)],[14]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= ( C @ ( A @ hazard_of_mortality ) ) )
| ~ ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_45) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= ( C @ ( A @ hazard_of_mortality ) ) )
| ~ ( C @ ( A @ has_immunity ) )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ hazard_of_mortality ) @ ( B @ ( A @ hazard_of_mortality ) @ greater ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16_58) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ hazard_of_mortality ) @ ( B @ ( A @ hazard_of_mortality ) @ greater ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk1 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
thf(108,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)],[33]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_38) ).
thf(112,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(5,negated_conjecture,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_63) ).
thf(43,plain,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(87,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(104,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(38,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(119,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).
thf(58,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)],[12]) ).
thf(41,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_39) ).
thf(126,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)],[41]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_51) ).
thf(79,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)],[21]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(94,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(9,negated_conjecture,
zero @ ( eta @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_67) ).
thf(47,plain,
zero @ ( eta @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).
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)],[26]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_53) ).
thf(83,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)],[23]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_52) ).
thf(100,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)],[30]) ).
thf(168,plain,
$false,
inference(e,[status(thm)],[56,46,121,74,70,128,44,49,48,50,114,51,52,110,85,102,60,117,92,97,45,64,81,76,66,108,112,123,72,43,87,104,119,58,126,79,94,47,68,90,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.21/0.47 % Computer : n009.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sat Sep 26 00:10:14 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 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
% 1.00/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.67/1.15 % [INFO] Parsing done (197ms).
% 1.67/1.17 % [INFO] Running in sequential loop mode.
% 2.52/1.50 % [INFO] eprover registered as external prover.
% 2.52/1.51 % [INFO] Scanning for conjecture ...
% 2.74/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 32 axioms. Running axiom selection ...
% 2.92/1.76 % [INFO] Axiom selection finished. Selected 32 axioms (removed 0 axioms).
% 3.13/1.84 % [INFO] Problem is propositional (TPTP CNF).
% 3.13/1.85 % [INFO] Type checking passed.
% 3.13/1.86 % [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 ...
% 6.49/3.17 % External prover 'e' found a proof!
% 6.49/3.17 % [INFO] Killing All external provers ...
% 6.49/3.17 % Time passed: 2564ms (effective reasoning time: 1998ms)
% 6.49/3.17 % Axioms used in derivation (32): definition_2_50, definition_greater_or_equal_5, definition_1_44, definition_2_51, definition_2_47, definition_1_39, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_smaller_or_equal_2, definition_1_38, definition_greater_or_equal_4, assumption_13_54, definition_smaller_7, definition_2_48, definition_1_40, assumption_16_58, assumption_14_55, definition_1_41, assumption_3_46, definition_1_43, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_2_45, definition_2_52, definition_1_42, assumption_15_57, definition_smaller_8, definition_2_53, meaning_postulate_greater_transitive_10, meaning_postulate_greater_strict_9, assumption_15_56, definition_2_49
% 6.49/3.17 % No. of inferences in proof: 85
% 6.49/3.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2564 ms resp. 1998 ms w/o parsing
% 6.91/3.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.91/3.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------