%------------------------------------------------------------------------------
% 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 : n006.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 : Theorem 26.57s 21.52s
% Output : Refutation 23.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 135 ( 30 unt; 0 typ; 7 def)
% Number of atoms : 574 ( 161 equ; 0 cnn)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 2225 ( 195 ~; 189 |; 132 &;1636 @)
% ( 4 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 222 ( 2 ^; 211 !; 2 ?; 222 :)
% ( 0 !>; 0 ?*; 0 @-; 7 @+)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
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(eta_decl,type,
eta: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(stock_of_knowledge_decl,type,
stock_of_knowledge: $i > $i > $i ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(capability_decl,type,
capability: $i > $i > $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(position_decl,type,
position: $i > $i > $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(external_ties_decl,type,
external_ties: $i > $i > $i ).
thf(internal_friction_decl,type,
internal_friction: $i > $i > $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i > $i ).
thf(sk7_decl,type,
sk7: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( A @ age ) @ ( E @ ( A @ age ) @ greater ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ smaller_or_equal ) )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i,C: $i,D: $i] :
( ( ( C @ ( sk1 @ age ) @ ( D @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( C @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( B @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( B @ ( sk1 @ age ) @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk1 @ has_endowment )
& ( sk1 @ organization ) )
=> ( ( ( B @ ( sk1 @ hazard_of_mortality ) )
= ( A @ ( sk1 @ hazard_of_mortality ) ) )
& ( B @ ( sk1 @ hazard_of_mortality ) @ ( C @ ( sk1 @ hazard_of_mortality ) @ greater ) )
& ( C @ ( sk1 @ hazard_of_mortality ) @ ( D @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( B @ ( sk1 @ age ) @ ( C @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( B @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( A @ ( sk1 @ age ) @ ( sk2 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk1 @ has_endowment )
& ( sk1 @ organization ) )
=> ( ( ( A @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( A @ ( sk1 @ hazard_of_mortality ) @ ( B @ ( sk1 @ hazard_of_mortality ) @ greater ) )
& ( B @ ( sk1 @ hazard_of_mortality ) @ ( C @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( A @ ( sk1 @ age ) @ ( B @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( A @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk3 @ ( sk1 @ age ) @ ( sk2 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk1 @ has_endowment )
& ( sk1 @ organization ) )
=> ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) )
& ( A @ ( sk1 @ hazard_of_mortality ) @ ( B @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
~ ( ( ( sk4 @ ( sk1 @ age ) @ ( A @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk3 @ ( sk1 @ age ) @ ( sk2 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk1 @ has_endowment )
& ( sk1 @ organization ) )
=> ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
& ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) ) ) ) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(101,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(102,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(cnf,[status(esa)],[101]) ).
thf(103,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[102]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( A @ age ) @ ( E @ ( A @ age ) @ greater ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ smaller_or_equal ) )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( A @ age ) @ ( E @ ( A @ age ) @ greater ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ smaller_or_equal ) )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(18,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( A @ age ) @ ( E @ ( A @ age ) @ greater ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ smaller_or_equal ) )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
( ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) ) )
& ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk3 @ ( sk1 @ age ) @ ( sk2 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sk1 @ has_endowment )
& ( sk1 @ organization ) ),
inference(cnf,[status(esa)],[18]) ).
thf(24,plain,
sk1 @ organization,
inference(cnfConj,[status(thm)],[19]) ).
thf(219,plain,
! [B: $i,A: $i] :
( ( B != sk1 )
| ( A @ organization )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[103,24]) ).
thf(220,plain,
! [A: $i] :
( ( A @ organization )
| ( sk1 @ ( A @ greater ) )
| ( sk1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[219:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( ( ( ( C @ ( A @ internal_friction ) )
= ( B @ ( A @ internal_friction ) ) )
& ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) )
=> ( ( C @ ( A @ capability ) )
= ( B @ ( A @ capability ) ) ) )
& ( ( ( B @ ( A @ internal_friction ) @ ( C @ ( A @ internal_friction ) @ greater ) )
& ( B @ ( A @ stock_of_knowledge ) @ ( C @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) ) )
=> ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ smaller ) ) )
& ( ( ( B @ ( A @ internal_friction ) @ ( C @ ( A @ internal_friction ) @ smaller_or_equal ) )
& ( B @ ( A @ stock_of_knowledge ) @ ( C @ ( A @ stock_of_knowledge ) @ greater ) ) )
=> ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
thf(65,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( ( ( ( C @ ( A @ internal_friction ) )
= ( B @ ( A @ internal_friction ) ) )
& ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) )
=> ( ( C @ ( A @ capability ) )
= ( B @ ( A @ capability ) ) ) )
& ( ( ( B @ ( A @ internal_friction ) @ ( C @ ( A @ internal_friction ) @ greater ) )
& ( B @ ( A @ stock_of_knowledge ) @ ( C @ ( A @ stock_of_knowledge ) @ smaller_or_equal ) ) )
=> ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ smaller ) ) )
& ( ( ( B @ ( A @ internal_friction ) @ ( C @ ( A @ internal_friction ) @ smaller_or_equal ) )
& ( B @ ( A @ stock_of_knowledge ) @ ( C @ ( A @ stock_of_knowledge ) @ greater ) ) )
=> ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).
thf(28,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(29,plain,
! [A: $i] :
( ( A @ organization )
=> ! [B: $i,C: $i] :
( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) ),
inference(miniscope,[status(thm)],[28]) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[29]) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ organization )
| ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) ),
inference(lifteq,[status(thm)],[30]) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ $true
| ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) ),
inference(paramod_ordered,[status(thm)],[24,31]) ).
thf(173,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ( ( C @ ( A @ stock_of_knowledge ) )
= ( B @ ( A @ stock_of_knowledge ) ) ) ),
inference(simp,[status(thm)],[172]) ).
thf(174,plain,
! [B: $i,A: $i] :
( ( B @ ( sk1 @ stock_of_knowledge ) )
= ( A @ ( sk1 @ stock_of_knowledge ) ) ),
inference(pattern_uni,[status(thm)],[173:[bind(A,$thf( sk1 ))]]) ).
thf(175,plain,
! [B: $i,A: $i] :
( ( B @ ( sk1 @ stock_of_knowledge ) )
= ( A @ ( sk1 @ stock_of_knowledge ) ) ),
inference(simp,[status(thm)],[174]) ).
thf(23,plain,
sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[19]) ).
thf(6,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(42,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(43,plain,
~ ? [A: $i,B: $i] :
( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(miniscope,[status(thm)],[42]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[43]) ).
thf(867,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,44]) ).
thf(868,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[867]) ).
thf(869,plain,
~ ( sk5 @ ( sk1 @ age ) @ ( sk4 @ ( sk1 @ age ) @ greater ) ),
inference(pattern_uni,[status(thm)],[868:[bind(A,$thf( sk5 @ ( sk1 @ age ) )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(963,plain,
( ( ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( sk5 @ ( sk1 @ age ) @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,869]) ).
thf(964,plain,
( ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( sk5 @ ( sk1 @ age ) @ ( sk4 @ ( sk1 @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[963]) ).
thf(966,plain,
( ( ( sk5 @ ( sk1 @ age ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk5 @ ( sk1 @ age ) )
!= ( sk4 @ ( sk1 @ age ) ) ) ),
inference(simp,[status(thm)],[964]) ).
thf(968,plain,
( ( sk5 @ ( sk1 @ age ) )
!= ( sk4 @ ( sk1 @ age ) ) ),
inference(simp,[status(thm)],[966]) ).
thf(976,plain,
( ( sk5 != sk4 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[968]) ).
thf(989,plain,
sk5 != sk4,
inference(simp,[status(thm)],[976]) ).
thf(996,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk4 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[103,989]) ).
thf(997,plain,
! [A: $i] :
( ( A != sk4 )
| ( sk5 @ ( A @ greater ) )
| ( sk5 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[996:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(999,plain,
( ( sk5 @ ( sk4 @ greater ) )
| ( sk5 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[997]) ).
thf(20,plain,
eta @ ( sk4 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[19]) ).
thf(861,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20,44]) ).
thf(862,plain,
! [B: $i,A: $i] :
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[861]) ).
thf(863,plain,
~ ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ),
inference(pattern_uni,[status(thm)],[862:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( eta ))]]) ).
thf(876,plain,
( ( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[20,863]) ).
thf(877,plain,
( ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) ),
inference(simp,[status(thm)],[876]) ).
thf(896,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= eta )
| ( ( sk4 @ ( sk1 @ age ) )
!= eta ) ),
inference(simp,[status(thm)],[877]) ).
thf(898,plain,
( ( sk4 @ ( sk1 @ age ) )
!= eta ),
inference(simp,[status(thm)],[896]) ).
thf(910,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk4 @ ( sk1 @ age ) ) )
| ( A != eta )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[103,898]) ).
thf(911,plain,
! [A: $i] :
( ( A != eta )
| ( sk4 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[910:[bind(A,$thf( A )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(919,plain,
( ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) )
| ( sk4 @ ( sk1 @ age ) @ ( eta @ smaller ) ) ),
inference(simp,[status(thm)],[911]) ).
thf(1064,plain,
( $false
| ( sk4 @ ( sk1 @ age ) @ ( eta @ smaller ) ) ),
inference(rewrite,[status(thm)],[919,863]) ).
thf(1065,plain,
sk4 @ ( sk1 @ age ) @ ( eta @ smaller ),
inference(simp,[status(thm)],[1064]) ).
thf(25,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) ) ),
inference(cnfConj,[status(thm)],[19]) ).
thf(27,plain,
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(lifteq,[status(thm)],[25]) ).
thf(114,plain,
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[27]) ).
thf(131,plain,
( ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[114]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ~ ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( ( ( ( ( C @ ( A @ position ) )
= ( B @ ( A @ position ) ) )
& ( ( C @ ( A @ capability ) )
= ( B @ ( A @ capability ) ) ) )
=> ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) ) )
& ( ( ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
& ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) ) )
=> ( 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 ) ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).
thf(32,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ~ ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( ( ( ( ( C @ ( A @ position ) )
= ( B @ ( A @ position ) ) )
& ( ( C @ ( A @ capability ) )
= ( B @ ( A @ capability ) ) ) )
=> ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) ) )
& ( ( ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) )
& ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater_or_equal ) ) )
=> ( 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 ) ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(33,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 ) )
& ( ( 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 ) )
& ( ( 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(cnf,[status(esa)],[32]) ).
thf(36,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(cnfConj,[status(thm)],[33]) ).
thf(37,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ has_immunity ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
| ( ( C @ ( A @ position ) )
!= ( B @ ( A @ position ) ) )
| ( ( C @ ( A @ capability ) )
!= ( B @ ( A @ capability ) ) ) ),
inference(lifteq,[status(thm)],[36]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller ) )
<=> ( A @ ( B @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
thf(93,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ greater ) )
=> ( B @ ( A @ smaller ) ) )
& ( ( B @ ( A @ smaller ) )
=> ( A @ ( B @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(115,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[20,27]) ).
thf(116,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[115]) ).
thf(122,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[116]) ).
thf(133,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[122]) ).
thf(994,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk4 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[103,989]) ).
thf(995,plain,
! [A: $i] :
( ( A != sk4 )
| ( A @ ( sk5 @ greater ) )
| ( A @ ( sk5 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[994:[bind(A,$thf( sk5 ))]]) ).
thf(998,plain,
( ( sk4 @ ( sk5 @ greater ) )
| ( sk4 @ ( sk5 @ smaller ) ) ),
inference(simp,[status(thm)],[995]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( ( ( C @ ( A @ external_ties ) )
= ( B @ ( A @ external_ties ) ) )
=> ( ( C @ ( A @ position ) )
= ( B @ ( A @ position ) ) ) )
& ( ( B @ ( A @ external_ties ) @ ( C @ ( A @ external_ties ) @ greater ) )
=> ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
thf(74,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( ( ( C @ ( A @ external_ties ) )
= ( B @ ( A @ external_ties ) ) )
=> ( ( C @ ( A @ position ) )
= ( B @ ( A @ position ) ) ) )
& ( ( B @ ( A @ external_ties ) @ ( C @ ( A @ external_ties ) @ greater ) )
=> ( B @ ( A @ position ) @ ( C @ ( A @ position ) @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,plain,
sk1 @ has_endowment,
inference(cnfConj,[status(thm)],[19]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( C @ ( A @ external_ties ) )
= ( B @ ( A @ external_ties ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).
thf(38,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ organization )
=> ( ( C @ ( A @ external_ties ) )
= ( B @ ( A @ external_ties ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ has_endowment )
<=> ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
thf(48,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) )
=> ( A @ has_endowment ) )
& ( ( A @ has_endowment )
=> ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(49,plain,
( ! [A: $i] :
( ( ! [B: $i] :
( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ! [B: $i] :
( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) )
=> ( A @ has_endowment ) )
& ! [A: $i] :
( ( A @ has_endowment )
=> ( ! [B: $i] :
( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ! [B: $i] :
( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ) ),
inference(miniscope,[status(thm)],[48]) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ has_endowment )
| ( D @ sk7 @ ( D @ has_immunity ) )
| ~ ( D @ sk6 @ ( D @ has_immunity ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( eta @ ( D @ sk7 @ ( D @ age ) @ greater ) )
| ~ ( D @ sk6 @ ( D @ has_immunity ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( D @ sk7 @ ( D @ has_immunity ) )
| ( eta @ ( D @ sk6 @ ( D @ age ) @ smaller_or_equal ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( eta @ ( D @ sk7 @ ( D @ age ) @ greater ) )
| ( eta @ ( D @ sk6 @ ( D @ age ) @ smaller_or_equal ) )
| ~ ( D @ organization ) )
& ( ~ ( C @ ( A @ has_immunity ) )
| ~ ( eta @ ( C @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) )
& ( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) )
& ( ( A @ organization )
| ~ ( A @ has_endowment ) ) ),
inference(cnf,[status(esa)],[49]) ).
thf(53,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[50]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= ( C @ ( A @ hazard_of_mortality ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
thf(45,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= ( C @ ( A @ hazard_of_mortality ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(34,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(cnfConj,[status(thm)],[33]) ).
thf(22,plain,
eta @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[19]) ).
thf(873,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[44]) ).
thf(874,plain,
! [A: $i] :
~ ( A @ ( A @ greater ) ),
inference(pattern_uni,[status(thm)],[873:[bind(A,$thf( B ))]]) ).
thf(875,plain,
! [A: $i] :
~ ( A @ ( A @ greater ) ),
inference(simp,[status(thm)],[874]) ).
thf(894,plain,
( ( ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[23,863]) ).
thf(895,plain,
( ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( eta @ greater ) ) ),
inference(simp,[status(thm)],[894]) ).
thf(897,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk5 @ ( sk1 @ age ) )
!= eta ) ),
inference(simp,[status(thm)],[895]) ).
thf(900,plain,
( ( sk5 @ ( sk1 @ age ) )
!= eta ),
inference(simp,[status(thm)],[897]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(104,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ greater ) ) )
=> ( B @ ( A @ greater_or_equal ) ) )
& ( ( B @ ( A @ greater_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(105,plain,
( ! [A: $i,B: $i] :
( ( ( A = B )
| ( B @ ( A @ greater ) ) )
=> ( B @ ( A @ greater_or_equal ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ greater_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ) ),
inference(miniscope,[status(thm)],[104]) ).
thf(106,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ greater_or_equal ) )
| ( C != D ) )
& ( ( D @ ( C @ greater_or_equal ) )
| ~ ( D @ ( C @ greater ) ) )
& ( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ) ),
inference(cnf,[status(esa)],[105]) ).
thf(109,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[106]) ).
thf(112,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[109]) ).
thf(113,plain,
! [A: $i] : ( A @ ( A @ greater_or_equal ) ),
inference(simp,[status(thm)],[112]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ smaller ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(81,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ smaller ) ) )
=> ( B @ ( A @ smaller_or_equal ) ) )
& ( ( B @ ( A @ smaller_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ smaller ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
thf(91,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(920,plain,
! [B: $i,A: $i] :
( ( A
!= ( sk5 @ ( sk1 @ age ) ) )
| ( B != eta )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[103,900]) ).
thf(921,plain,
! [A: $i] :
( ( A != eta )
| ( A @ ( sk5 @ ( sk1 @ age ) @ greater ) )
| ( A @ ( sk5 @ ( sk1 @ age ) @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[920:[bind(A,$thf( sk5 @ ( sk1 @ age ) )),bind(B,$thf( B ))]]) ).
thf(932,plain,
( ( eta @ ( sk5 @ ( sk1 @ age ) @ greater ) )
| ( eta @ ( sk5 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[921]) ).
thf(117,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[20,27]) ).
thf(118,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( eta @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[117]) ).
thf(125,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[118]) ).
thf(135,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[125]) ).
thf(35,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(cnfConj,[status(thm)],[33]) ).
thf(205,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[23,135]) ).
thf(206,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sk5 @ ( sk1 @ age ) @ greater ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[205]) ).
thf(208,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ age ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[206]) ).
thf(209,plain,
( ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ age ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= eta )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ age ) ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[208]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ age ) @ ( C @ ( A @ age ) @ greater ) )
& ( A @ organization ) )
=> ( B @ ( A @ internal_friction ) @ ( C @ ( A @ internal_friction ) @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).
thf(63,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ age ) @ ( C @ ( A @ age ) @ greater ) )
& ( A @ organization ) )
=> ( B @ ( A @ internal_friction ) @ ( C @ ( A @ internal_friction ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) )
=> ( C @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(99,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) )
=> ( C @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(26,plain,
sk3 @ ( sk1 @ age ) @ ( sk2 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[19]) ).
thf(82,plain,
( ! [A: $i,B: $i] :
( ( ( A = B )
| ( B @ ( A @ smaller ) ) )
=> ( B @ ( A @ smaller_or_equal ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ smaller_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ smaller ) ) ) ) ),
inference(miniscope,[status(thm)],[81]) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ smaller_or_equal ) )
| ( C != D ) )
& ( ( D @ ( C @ smaller_or_equal ) )
| ~ ( D @ ( C @ smaller ) ) )
& ( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ) ),
inference(cnf,[status(esa)],[82]) ).
thf(86,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[83]) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[86]) ).
thf(90,plain,
! [A: $i] : ( A @ ( A @ smaller_or_equal ) ),
inference(simp,[status(thm)],[89]) ).
thf(926,plain,
! [B: $i,A: $i] :
( ( B
!= ( sk5 @ ( sk1 @ age ) ) )
| ( A != eta )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[103,900]) ).
thf(927,plain,
! [A: $i] :
( ( A != eta )
| ( sk5 @ ( sk1 @ age ) @ ( A @ greater ) )
| ( sk5 @ ( sk1 @ age ) @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[926:[bind(A,$thf( A )),bind(B,$thf( sk5 @ ( sk1 @ age ) ))]]) ).
thf(935,plain,
( ( sk5 @ ( sk1 @ age ) @ ( eta @ greater ) )
| ( sk5 @ ( sk1 @ age ) @ ( eta @ smaller ) ) ),
inference(simp,[status(thm)],[927]) ).
thf(4425,plain,
$false,
inference(e,[status(thm)],[101,220,65,31,175,999,1065,131,898,42,24,37,20,93,133,998,74,21,28,38,53,869,989,45,32,34,22,44,875,27,900,113,81,863,103,91,932,135,35,209,968,48,63,18,99,104,26,23,90,935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT051+1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.14/15.42 % Computer : n006.cluster.edu
% 0.14/15.42 % Model : x86_64 x86_64
% 0.14/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.42 % Memory : 8046.5625MB
% 0.14/15.42 % OS : Linux 6.8.0-71-generic
% 0.14/15.43 % CPULimit : 300
% 0.14/15.43 % WCLimit : 300
% 0.14/15.43 % DateTime : Sat Sep 26 00:09:45 UTC 2026
% 0.14/15.43 % CPUTime :
% 0.14/15.43 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
% 0.18/16.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/16.22 % [INFO] Parsing done (203ms).
% 1.28/16.23 % [INFO] Running in sequential loop mode.
% 2.09/16.62 % [INFO] eprover registered as external prover.
% 2.09/16.63 % [INFO] Scanning for conjecture ...
% 2.26/16.75 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 2.43/16.83 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.43/16.87 % [INFO] Problem is first-order (TPTP FOF).
% 2.43/16.88 % [INFO] Type checking passed.
% 2.43/16.89 % [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 ...
% 26.57/21.51 % External prover 'e' found a proof!
% 26.57/21.51 % [INFO] Killing All external provers ...
% 26.57/21.51 % Time passed: 5944ms (effective reasoning time: 5275ms)
% 26.57/21.51 % Solved by 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)>
% 26.57/21.52 % Axioms used in derivation (15): assumption_5, definition_1, assumption_3, definition_smaller_or_equal, assumption_10, definition_smaller, assumption_4, assumption_6, assumption_11, meaning_postulate_greater_comparable, meaning_postulate_greater_transitive, assumption_2, assumption_12, meaning_postulate_greater_strict, definition_greater_or_equal
% 26.57/21.52 % No. of inferences in proof: 128
% 26.57/21.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5944 ms resp. 5275 ms w/o parsing
% 23.63/21.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.63/21.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------