%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT051-1 : 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 : n010.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 08:00:46 AM UTC 2026
% Result : Unsatisfiable 24.75s 7.16s
% Output : Refutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 38
% Syntax : Number of formulae : 156 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 515 ( 141 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1928 ( 283 ~; 291 |; 0 &;1354 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 222 ( 0 ^; 222 !; 0 ?; 222 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(has_endowment_decl,type,
has_endowment: $i > $o ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(sk3_decl,type,
sk3: $i ).
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(sk6_decl,type,
sk6: $i ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i ).
thf(external_ties_decl,type,
external_ties: $i > $i > $i ).
thf(position_decl,type,
position: $i > $i > $i ).
thf(stock_of_knowledge_decl,type,
stock_of_knowledge: $i > $i > $i ).
thf(internal_friction_decl,type,
internal_friction: $i > $i > $i ).
thf(capability_decl,type,
capability: $i > $i > $i ).
thf(2,negated_conjecture,
sk2 @ has_endowment,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_62) ).
thf(42,plain,
sk2 @ has_endowment,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,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(52,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(38,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_51) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
| ~ ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).
thf(97,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[52]) ).
thf(6,negated_conjecture,
sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_66) ).
thf(41,plain,
sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(184,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( A @ ( B @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41,71]) ).
thf(185,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( A @ ( B @ smaller ) ) ),
inference(simp,[status(thm)],[184]) ).
thf(186,plain,
sk6 @ ( sk2 @ age ) @ ( sk5 @ ( sk2 @ age ) @ smaller ),
inference(pattern_uni,[status(thm)],[185:[bind(A,$thf( sk6 @ ( sk2 @ age ) )),bind(B,$thf( sk5 @ ( sk2 @ age ) ))]]) ).
thf(10,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(54,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(cnf,[status(esa)],[54]) ).
thf(210,plain,
! [B: $i,A: $i] :
( ( ( sk6 @ ( sk2 @ age ) @ ( sk5 @ ( sk2 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[186,55]) ).
thf(211,plain,
! [B: $i,A: $i] :
( ( ( sk6 @ ( sk2 @ age ) @ ( sk5 @ ( sk2 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[210]) ).
thf(212,plain,
sk6 @ ( sk2 @ age ) @ ( sk5 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[211:[bind(A,$thf( sk5 @ ( sk2 @ age ) )),bind(B,$thf( sk6 @ ( sk2 @ age ) ))]]) ).
thf(32,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
| ( ( C @ ( A @ position ) )
!= ( B @ ( A @ position ) ) )
| ( ( C @ ( A @ capability ) )
!= ( B @ ( A @ capability ) ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_52) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
| ( ( C @ ( A @ position ) )
!= ( B @ ( A @ position ) ) )
| ( ( C @ ( A @ capability ) )
!= ( B @ ( A @ capability ) ) )
| ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(8,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(48,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(29,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(99,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(12,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_42) ).
thf(58,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)],[12]) ).
thf(27,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ stock_of_knowledge ) )
= ( C @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_58) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ stock_of_knowledge ) )
= ( C @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(30,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_49) ).
thf(101,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)],[30]) ).
thf(24,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(85,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(86,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(cnf,[status(esa)],[85]) ).
thf(87,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[86]) ).
thf(88,plain,
! [A: $i] : ( A @ ( A @ smaller_or_equal ) ),
inference(simp,[status(thm)],[87]) ).
thf(37,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(118,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(119,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(cnf,[status(esa)],[118]) ).
thf(120,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[119]) ).
thf(5,negated_conjecture,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_65) ).
thf(39,plain,
eta @ ( sk5 @ ( sk2 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(240,plain,
! [C: $i,B: $i,A: $i] :
( ( ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39,53]) ).
thf(241,plain,
! [C: $i,B: $i,A: $i] :
( ( ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[240]) ).
thf(242,plain,
! [A: $i] :
( ( A @ ( sk5 @ ( sk2 @ age ) @ greater ) )
| ~ ( A @ ( eta @ greater ) ) ),
inference(pattern_uni,[status(thm)],[241:[bind(A,$thf( sk5 @ ( sk2 @ age ) )),bind(B,$thf( eta )),bind(C,$thf( C ))]]) ).
thf(258,plain,
! [A: $i] :
( ( A @ ( sk5 @ ( sk2 @ age ) @ greater ) )
| ~ ( A @ ( eta @ greater ) ) ),
inference(simp,[status(thm)],[242]) ).
thf(335,plain,
! [A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( A @ ( eta @ greater ) ) )
| ( A @ ( sk5 @ ( sk2 @ age ) @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41,258]) ).
thf(336,plain,
! [A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( A @ ( eta @ greater ) ) )
| ( A @ ( sk5 @ ( sk2 @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[335]) ).
thf(364,plain,
! [A: $i] :
( ( ( sk5 @ ( sk2 @ age ) )
!= A )
| ( ( sk6 @ ( sk2 @ age ) )
!= eta )
| ( A @ ( sk5 @ ( sk2 @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[336]) ).
thf(379,plain,
( ( ( sk6 @ ( sk2 @ age ) )
!= eta )
| ( sk5 @ ( sk2 @ age ) @ ( sk5 @ ( sk2 @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[364]) ).
thf(243,plain,
! [C: $i,B: $i,A: $i] :
( ( ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) )
!= ( C @ ( B @ greater ) ) )
| ( C @ ( A @ greater ) )
| ~ $true
| ~ ( B @ ( A @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[39,53]) ).
thf(244,plain,
! [C: $i,B: $i,A: $i] :
( ( ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) )
!= ( C @ ( B @ greater ) ) )
| ( C @ ( A @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[243]) ).
thf(245,plain,
! [A: $i] :
( ( eta @ ( A @ greater ) )
| ~ ( sk5 @ ( sk2 @ age ) @ ( A @ greater ) ) ),
inference(pattern_uni,[status(thm)],[244:[bind(A,$thf( A )),bind(B,$thf( sk5 @ ( sk2 @ age ) )),bind(C,$thf( eta ))]]) ).
thf(267,plain,
! [A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( sk5 @ ( sk2 @ age ) @ ( A @ greater ) ) )
| ( eta @ ( A @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[41,245]) ).
thf(268,plain,
! [A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( sk5 @ ( sk2 @ age ) @ ( A @ greater ) ) )
| ( eta @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[267]) ).
thf(269,plain,
eta @ ( sk6 @ ( sk2 @ age ) @ greater ),
inference(pattern_uni,[status(thm)],[268:[bind(A,$thf( sk6 @ ( sk2 @ age ) ))]]) ).
thf(11,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_46) ).
thf(56,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)],[11]) ).
thf(7,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',theorem_4_67) ).
thf(43,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)],[7]) ).
thf(46,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(cnf,[status(esa)],[43]) ).
thf(47,plain,
( ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) ) ),
inference(lifteq,[status(thm)],[46]) ).
thf(126,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) ) )
| ~ $true
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[39,47]) ).
thf(127,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[126]) ).
thf(134,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 )
| ( sk2 != sk2 ) ),
inference(simp,[status(thm)],[127]) ).
thf(142,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[134]) ).
thf(187,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( A @ ( B @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[39,71]) ).
thf(188,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( A @ ( B @ smaller ) ) ),
inference(simp,[status(thm)],[187]) ).
thf(189,plain,
sk5 @ ( sk2 @ age ) @ ( eta @ smaller ),
inference(pattern_uni,[status(thm)],[188:[bind(A,$thf( sk5 @ ( sk2 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(282,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( A @ ( B @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[269,71]) ).
thf(283,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( A @ ( B @ smaller ) ) ),
inference(simp,[status(thm)],[282]) ).
thf(284,plain,
sk6 @ ( sk2 @ age ) @ ( eta @ smaller ),
inference(pattern_uni,[status(thm)],[283:[bind(A,$thf( sk6 @ ( sk2 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(57,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk1 @ ( A @ age ) @ greater ) )
| ~ ( A @ sk1 @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[56]) ).
thf(314,plain,
! [B: $i,A: $i] :
( ( ( sk6 @ ( sk2 @ age ) @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[284,55]) ).
thf(315,plain,
! [B: $i,A: $i] :
( ( ( sk6 @ ( sk2 @ age ) @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[314]) ).
thf(316,plain,
sk6 @ ( sk2 @ age ) @ ( eta @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[315:[bind(A,$thf( eta )),bind(B,$thf( sk6 @ ( sk2 @ age ) ))]]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ smaller ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_54) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ smaller ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
| ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_60) ).
thf(89,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ greater ) )
| ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(36,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater_or_equal ) )
| ~ ( 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_4_50) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
| ~ ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater_or_equal ) )
| ~ ( 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)],[36]) ).
thf(19,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_47) ).
thf(74,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)],[19]) ).
thf(193,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ~ $true
| ( sk4 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[41,142]) ).
thf(194,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( sk5 @ ( sk2 @ age ) @ ( sk6 @ ( sk2 @ age ) @ greater ) ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[193]) ).
thf(197,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( ( sk6 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk6 @ ( sk2 @ age ) ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[194]) ).
thf(199,plain,
( ( ( sk6 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk6 @ ( sk2 @ age ) ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[197]) ).
thf(200,plain,
( ( ( sk6 @ ( sk2 @ age ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( ( sk6 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( sk4 != sk3 ) ),
inference(eqfactor_ordered,[status(thm)],[199]) ).
thf(203,plain,
( ( sk6 != sk5 )
| ( sk2 != sk2 )
| ( sk6 != sk5 )
| ( sk2 != sk2 )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[200]) ).
thf(206,plain,
( ( sk6 != sk5 )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[203]) ).
thf(13,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_43) ).
thf(60,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)],[13]) ).
thf(123,plain,
( ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 )
| ( sk2 != sk2 ) ),
inference(simp,[status(thm)],[47]) ).
thf(145,plain,
( ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[123]) ).
thf(295,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) ) )
| ~ $true
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[269,145]) ).
thf(296,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[295]) ).
thf(302,plain,
( ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk6 @ ( sk2 @ age ) ) )
| ~ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[296]) ).
thf(4,negated_conjecture,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_64) ).
thf(45,plain,
eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ position ) )
= ( C @ ( A @ position ) ) )
| ( ( B @ ( A @ external_ties ) )
!= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_57) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ position ) )
= ( C @ ( A @ position ) ) )
| ( ( B @ ( A @ external_ties ) )
!= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,negated_conjecture,
sk4 @ ( sk2 @ age ) @ ( sk3 @ ( sk2 @ age ) @ smaller_or_equal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_63) ).
thf(44,plain,
sk4 @ ( sk2 @ age ) @ ( sk3 @ ( sk2 @ age ) @ smaller_or_equal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(279,plain,
! [C: $i,B: $i,A: $i] :
( ( ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( C @ ( B @ greater ) ) )
| ( C @ ( A @ greater ) )
| ~ $true
| ~ ( B @ ( A @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[269,53]) ).
thf(280,plain,
! [C: $i,B: $i,A: $i] :
( ( ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) )
!= ( C @ ( B @ greater ) ) )
| ( C @ ( A @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[279]) ).
thf(281,plain,
! [A: $i] :
( ( eta @ ( A @ greater ) )
| ~ ( sk6 @ ( sk2 @ age ) @ ( A @ greater ) ) ),
inference(pattern_uni,[status(thm)],[280:[bind(A,$thf( A )),bind(B,$thf( sk6 @ ( sk2 @ age ) )),bind(C,$thf( eta ))]]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(cnf,[status(esa)],[58]) ).
thf(35,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_48) ).
thf(113,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)],[35]) ).
thf(20,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_45) ).
thf(76,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)],[20]) ).
thf(98,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(cnf,[status(esa)],[97]) ).
thf(31,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_44) ).
thf(103,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)],[31]) ).
thf(124,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ $true
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[39,47]) ).
thf(125,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk5 @ ( sk2 @ age ) @ greater ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( ( sk4 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk2 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[124]) ).
thf(131,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk6 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 )
| ( sk2 != sk2 ) ),
inference(simp,[status(thm)],[125]) ).
thf(140,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk6 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk2 @ age ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[131]) ).
thf(26,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ external_ties ) )
= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_59) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ external_ties ) )
= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,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(108,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(293,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ~ $true
| ( sk4 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[269,145]) ).
thf(294,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) @ ( sk6 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk6 @ ( sk2 @ age ) @ greater ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[293]) ).
thf(306,plain,
( ( ( sk5 @ ( sk2 @ hazard_of_mortality ) )
!= eta )
| ( ( sk6 @ ( sk2 @ hazard_of_mortality ) )
!= ( sk6 @ ( sk2 @ age ) ) )
| ~ ( sk4 @ ( sk2 @ hazard_of_mortality ) @ ( sk5 @ ( sk2 @ hazard_of_mortality ) @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[294]) ).
thf(22,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(80,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(207,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[189,55]) ).
thf(208,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk2 @ age ) @ ( eta @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[207]) ).
thf(209,plain,
sk5 @ ( sk2 @ age ) @ ( eta @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[208:[bind(A,$thf( eta )),bind(B,$thf( sk5 @ ( sk2 @ age ) ))]]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ capability ) )
= ( C @ ( A @ capability ) ) )
| ( ( B @ ( A @ internal_friction ) )
!= ( C @ ( A @ internal_friction ) ) )
| ( ( B @ ( A @ stock_of_knowledge ) )
!= ( C @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_55) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ capability ) )
= ( C @ ( A @ capability ) ) )
| ( ( B @ ( A @ internal_friction ) )
!= ( C @ ( A @ internal_friction ) ) )
| ( ( B @ ( A @ stock_of_knowledge ) )
!= ( C @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,negated_conjecture,
sk2 @ organization,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_61) ).
thf(40,plain,
sk2 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(cnf,[status(esa)],[48]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[49]) ).
thf(51,plain,
! [A: $i] : ( A @ ( A @ greater_or_equal ) ),
inference(simp,[status(thm)],[50]) ).
thf(1216,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ) )
!= ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) ) )
| ( B @ ( A @ has_immunity ) )
| ~ $true
| ~ ( A @ has_endowment ) ),
inference(paramod_ordered,[status(thm)],[45,59]) ).
thf(1217,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk2 @ age ) @ smaller_or_equal ) )
!= ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[1216]) ).
thf(1218,plain,
( ( sk4 @ ( sk2 @ has_immunity ) )
| ~ ( sk2 @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[1217:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(1247,plain,
( ( sk4 @ ( sk2 @ has_immunity ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1218,42]) ).
thf(1248,plain,
sk4 @ ( sk2 @ has_immunity ),
inference(simp,[status(thm)],[1247]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
| ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_56) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
| ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(34,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ smaller_or_equal ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_53) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) )
| ~ ( C @ ( A @ internal_friction ) @ ( B @ ( A @ internal_friction ) @ smaller_or_equal ) )
| ~ ( C @ ( A @ stock_of_knowledge ) @ ( B @ ( A @ stock_of_knowledge ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(83,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(2422,plain,
$false,
inference(e,[status(thm)],[42,52,121,97,53,212,41,105,48,99,58,94,101,88,120,379,269,56,142,189,284,57,316,78,89,116,74,206,60,85,302,70,45,64,44,281,59,118,71,54,113,76,245,39,98,103,140,91,108,306,80,209,145,67,199,72,43,40,258,186,55,51,1248,47,62,111,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.23/0.49 % Computer : n010.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sat Sep 26 00:10:00 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 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
% 1.29/1.30 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.10/1.62 % [INFO] Parsing done (324ms).
% 2.10/1.65 % [INFO] Running in sequential loop mode.
% 3.28/2.27 % [INFO] eprover registered as external prover.
% 3.28/2.28 % [INFO] Scanning for conjecture ...
% 3.70/2.45 % [INFO] Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ...
% 3.89/2.57 % [INFO] Axiom selection finished. Selected 31 axioms (removed 0 axioms).
% 4.16/2.65 % [INFO] Problem is propositional (TPTP CNF).
% 4.16/2.67 % [INFO] Type checking passed.
% 4.16/2.67 % [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 ...
% 24.17/7.15 % External prover 'e' found a proof!
% 24.17/7.15 % [INFO] Killing All external provers ...
% 24.75/7.16 % Time passed: 6454ms (effective reasoning time: 5500ms)
% 24.75/7.16 % Axioms used in derivation (31): assumption_10_58, assumption_4_52, assumption_12_60, definition_greater_or_equal_5, definition_1_47, definition_1_41, assumption_6_57, definition_1_42, assumption_6_56, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_smaller_or_equal_2, assumption_4_50, definition_greater_or_equal_4, meaning_postulate_greater_strict_9, assumption_11_59, assumption_3_49, assumption_5_53, definition_1_44, definition_1_43, assumption_5_55, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_4_51, assumption_5_54, definition_1_46, definition_smaller_8, assumption_2_48, meaning_postulate_greater_transitive_10, definition_smaller_7, definition_1_45
% 24.75/7.16 % No. of inferences in proof: 156
% 24.75/7.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6454 ms resp. 5500 ms w/o parsing
% 22.04/7.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.04/7.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------