%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT063+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : 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 08:00:49 AM UTC 2026
% Result : Theorem 79.11s 18.20s
% Output : Refutation 65.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 29
% Syntax : Number of formulae : 1127 ( 176 unt; 0 typ; 9 def)
% Number of atoms : 4461 (1528 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 12062 (2353 ~;2267 |; 209 &;7126 @)
% ( 8 <=>; 99 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 16 con; 0-3 aty)
% Number of variables : 919 ( 4 ^; 903 !; 3 ?; 919 :)
% ( 0 !>; 0 ?*; 0 @-; 9 @+)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(robust_position_decl,type,
robust_position: $i > $o ).
thf(has_endowment_decl,type,
has_endowment: $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(sigma_decl,type,
sigma: $i ).
thf(tau_decl,type,
tau: $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(very_low_decl,type,
very_low: $i ).
thf(is_aligned_decl,type,
is_aligned: $i > $i > $o ).
thf(positional_advantage_decl,type,
positional_advantage: $i > $i > $o ).
thf(low_decl,type,
low: $i ).
thf(mod1_decl,type,
mod1: $i ).
thf(mod2_decl,type,
mod2: $i ).
thf(high_decl,type,
high: $i ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(eta_decl,type,
eta: $i ).
thf(dissimilar_decl,type,
dissimilar: $i > $i > $i > $o ).
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(sk8_decl,type,
sk8: $i > $i ).
thf(sk9_decl,type,
sk9: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i,D: $i,E: $i] :
( ( ( tau @ ( E @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ~ ( A @ has_endowment )
& ( A @ robust_position )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ smaller ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i,C: $i,D: $i] :
( ( ( tau @ ( D @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( C @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( C @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( B @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( A @ ( sk1 @ age ) )
= zero )
& ~ ( sk1 @ has_endowment )
& ( sk1 @ robust_position )
& ( sk1 @ organization ) )
=> ( ( ( B @ ( sk1 @ hazard_of_mortality ) )
= ( A @ ( sk1 @ hazard_of_mortality ) ) )
& ( C @ ( sk1 @ hazard_of_mortality ) @ ( B @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
& ( B @ ( sk1 @ hazard_of_mortality ) @ ( D @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( tau @ ( C @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( B @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( B @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ~ ( sk1 @ has_endowment )
& ( sk1 @ robust_position )
& ( sk1 @ organization ) )
=> ( ( ( A @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( B @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
& ( A @ ( sk1 @ hazard_of_mortality ) @ ( C @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( tau @ ( B @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( A @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( A @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ~ ( sk1 @ has_endowment )
& ( sk1 @ robust_position )
& ( sk1 @ organization ) )
=> ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( A @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
& ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( B @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
~ ( ( ( tau @ ( A @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ~ ( sk1 @ has_endowment )
& ( sk1 @ robust_position )
& ( sk1 @ organization ) )
=> ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
& ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
& ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( A @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ~ ( B @ ( A @ positional_advantage ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( tau @ ( B @ ( A @ age ) @ greater ) )
=> ( B @ ( A @ positional_advantage ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) ) ) ) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(62,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)],[8]) ).
thf(63,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)],[62]) ).
thf(64,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)],[63]) ).
thf(66,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnfConj,[status(thm)],[64]) ).
thf(69,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[66]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( tau @ ( E @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ~ ( A @ has_endowment )
& ( A @ robust_position )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ smaller ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_9) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( tau @ ( E @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ~ ( A @ has_endowment )
& ( A @ robust_position )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ smaller ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(22,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( tau @ ( E @ ( A @ age ) @ greater ) )
& ( tau @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( sigma @ ( D @ ( A @ age ) @ greater ) )
& ( sigma @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( B @ ( A @ age ) )
= zero )
& ~ ( A @ has_endowment )
& ( A @ robust_position )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ smaller ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ smaller ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,plain,
( ( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) )
& ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
& ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
& ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
& ( tau @ ( sigma @ smaller ) )
& ( zero @ ( tau @ greater ) )
& ( zero @ ( sigma @ greater ) )
& ( ( sk2 @ ( sk1 @ age ) )
= zero )
& ~ ( sk1 @ has_endowment )
& ( sk1 @ robust_position )
& ( sk1 @ organization ) ),
inference(cnf,[status(esa)],[22]) ).
thf(24,plain,
zero @ ( sigma @ greater ),
inference(cnfConj,[status(thm)],[23]) ).
thf(254,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,69]) ).
thf(255,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[254]) ).
thf(256,plain,
zero @ ( sigma @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[255:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(65,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(cnfConj,[status(thm)],[64]) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[65]) ).
thf(34,plain,
( ( sk2 @ ( sk1 @ age ) )
= zero ),
inference(cnfConj,[status(thm)],[23]) ).
thf(37,plain,
( ( sk2 @ ( sk1 @ age ) )
= zero ),
inference(lifteq,[status(thm)],[34]) ).
thf(28,plain,
tau @ ( sk5 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[23]) ).
thf(191,plain,
( ( ( sk5 @ ( sk1 @ age ) )
!= ( sk2 @ ( sk1 @ age ) ) )
| ( tau @ ( zero @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[37,28]) ).
thf(192,plain,
( ( sk5 != sk2 )
| ( sk1 != sk1 )
| ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[191]) ).
thf(193,plain,
( ( sk5 != sk2 )
| ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[192]) ).
thf(25,plain,
zero @ ( tau @ greater ),
inference(cnfConj,[status(thm)],[23]) ).
thf(9,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(72,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(73,plain,
~ ? [A: $i,B: $i] :
( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(miniscope,[status(thm)],[72]) ).
thf(74,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[73]) ).
thf(463,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,74]) ).
thf(464,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[463]) ).
thf(465,plain,
~ ( tau @ ( zero @ greater ) ),
inference(pattern_uni,[status(thm)],[464:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(1739,plain,
( ( sk5 != sk2 )
| $false ),
inference(rewrite,[status(thm)],[193,465]) ).
thf(1740,plain,
sk5 != sk2,
inference(simp,[status(thm)],[1739]) ).
thf(2691,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,1740]) ).
thf(2692,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk5 @ greater ) )
| ~ ( A @ ( sk5 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2691:[bind(A,$thf( sk5 ))]]) ).
thf(3353,plain,
( ( sk2 @ ( sk5 @ greater ) )
| ~ ( sk2 @ ( sk5 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2692]) ).
thf(6051,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( zero @ ( sigma @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[256,3353]) ).
thf(6052,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( zero @ ( sigma @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6051]) ).
thf(6085,plain,
( ( sk2 != zero )
| ( sk5 != sigma )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6052]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( A @ organization )
=> ( ( ~ ( B @ ( A @ has_immunity ) )
=> ( ( ( ~ ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= high ) )
& ( ( ~ ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ) ) )
& ( ( B @ ( A @ has_immunity ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
thf(38,plain,
! [A: $i,B: $i] :
( ( A @ organization )
=> ( ( ~ ( B @ ( A @ has_immunity ) )
=> ( ( ( ~ ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= high ) )
& ( ( ~ ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ) ) )
& ( ( B @ ( A @ has_immunity ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(39,plain,
! [A: $i] :
( ( A @ organization )
=> ( ! [B: $i] :
( ~ ( B @ ( A @ has_immunity ) )
=> ( ( ( ~ ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= high ) )
& ( ( ~ ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ) ) )
& ! [B: $i] :
( ( B @ ( A @ has_immunity ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ) ) ),
inference(miniscope,[status(thm)],[38]) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ( ( ( C @ ( A @ hazard_of_mortality ) )
= high )
| ( C @ ( A @ positional_advantage ) )
| ( C @ ( A @ is_aligned ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( A @ organization ) )
& ( ( ( C @ ( A @ hazard_of_mortality ) )
= mod2 )
| ( C @ ( A @ positional_advantage ) )
| ~ ( C @ ( A @ is_aligned ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( A @ organization ) )
& ( ( ( C @ ( A @ hazard_of_mortality ) )
= mod1 )
| ~ ( C @ ( A @ positional_advantage ) )
| ( C @ ( A @ is_aligned ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( A @ organization ) )
& ( ( ( C @ ( A @ hazard_of_mortality ) )
= low )
| ~ ( C @ ( A @ positional_advantage ) )
| ~ ( C @ ( A @ is_aligned ) )
| ( C @ ( A @ has_immunity ) )
| ~ ( A @ organization ) )
& ( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[40]) ).
thf(46,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) ),
inference(lifteq,[status(thm)],[42]) ).
thf(47,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) ),
inference(simp,[status(thm)],[46]) ).
thf(33,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) ),
inference(cnfConj,[status(thm)],[23]) ).
thf(36,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(lifteq,[status(thm)],[33]) ).
thf(234,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,36]) ).
thf(235,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[234:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(31,plain,
sk1 @ organization,
inference(cnfConj,[status(thm)],[23]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ~ ( A @ has_endowment )
& ( A @ organization ) )
=> ~ ( B @ ( A @ has_immunity ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
thf(59,plain,
! [A: $i,B: $i] :
( ( ~ ( A @ has_endowment )
& ( A @ organization ) )
=> ~ ( B @ ( A @ has_immunity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(60,plain,
! [A: $i] :
( ( ~ ( A @ has_endowment )
& ( A @ organization ) )
=> ~ ? [B: $i] : ( B @ ( A @ has_immunity ) ) ),
inference(miniscope,[status(thm)],[59]) ).
thf(61,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ( A @ has_endowment )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[60]) ).
thf(2198,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ ( B @ ( A @ has_immunity ) )
| ( A @ has_endowment )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[31,61]) ).
thf(2199,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ ( B @ ( A @ has_immunity ) )
| ( A @ has_endowment ) ),
inference(simp,[status(thm)],[2198]) ).
thf(2200,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ has_immunity ) )
| ( sk1 @ has_endowment ) ),
inference(pattern_uni,[status(thm)],[2199:[bind(A,$thf( sk1 ))]]) ).
thf(2201,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ has_immunity ) )
| ( sk1 @ has_endowment ) ),
inference(simp,[status(thm)],[2200]) ).
thf(35,plain,
~ ( sk1 @ has_endowment ),
inference(cnfConj,[status(thm)],[23]) ).
thf(5534,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ has_immunity ) )
| $false ),
inference(rewrite,[status(thm)],[2201,35]) ).
thf(5535,plain,
! [A: $i] :
~ ( A @ ( sk1 @ has_immunity ) ),
inference(simp,[status(thm)],[5534]) ).
thf(24729,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[235,31,5535]) ).
thf(24730,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[24729]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller ) )
<=> ( A @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(138,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)],[17]) ).
thf(32,plain,
sigma @ ( sk4 @ ( sk1 @ age ) @ greater ),
inference(cnfConj,[status(thm)],[23]) ).
thf(4,axiom,
low @ ( mod2 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
thf(55,plain,
low @ ( mod2 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(511,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,74]) ).
thf(512,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[511]) ).
thf(513,plain,
~ ( mod2 @ ( low @ greater ) ),
inference(pattern_uni,[status(thm)],[512:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(2266,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,513]) ).
thf(2267,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2266]) ).
thf(2295,plain,
( ( mod2 != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[2267]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ smaller ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(128,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)],[16]) ).
thf(129,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)],[128]) ).
thf(130,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)],[129]) ).
thf(131,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(cnfConj,[status(thm)],[130]) ).
thf(134,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[131]) ).
thf(7693,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,1740]) ).
thf(7694,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk5 @ smaller ) )
| ~ ( A @ ( sk5 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7693:[bind(A,$thf( sk5 ))]]) ).
thf(9077,plain,
( ( sk2 @ ( sk5 @ smaller ) )
| ~ ( sk2 @ ( sk5 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7694]) ).
thf(14,axiom,
low @ ( mod1 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
thf(119,plain,
low @ ( mod1 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(251,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[119,69]) ).
thf(252,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[251]) ).
thf(253,plain,
low @ ( mod1 @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[252:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(6047,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( low @ ( mod1 @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[253,3353]) ).
thf(6048,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( low @ ( mod1 @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6047]) ).
thf(6086,plain,
( ( sk2 != low )
| ( sk5 != mod1 )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6048]) ).
thf(19,axiom,
mod1 @ ( mod2 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19) ).
thf(147,plain,
mod1 @ ( mod2 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(469,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,74]) ).
thf(470,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[469]) ).
thf(471,plain,
~ ( mod2 @ ( mod1 @ greater ) ),
inference(pattern_uni,[status(thm)],[470:[bind(A,$thf( mod2 )),bind(B,$thf( mod1 ))]]) ).
thf(35127,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ~ $true
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(paramod_ordered,[status(thm)],[6086,471]) ).
thf(35128,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35127]) ).
thf(35226,plain,
( ( sk2 != mod2 )
| ( sk5 != mod1 )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35128]) ).
thf(35236,plain,
( ( sk2 != mod2 )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35226]) ).
thf(26,plain,
tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[23]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ robust_position )
<=> ! [B: $i] :
( ( ( tau @ ( B @ ( A @ age ) @ greater ) )
=> ( B @ ( A @ positional_advantage ) ) )
& ( ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ~ ( B @ ( A @ positional_advantage ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4) ).
thf(75,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( ( tau @ ( B @ ( A @ age ) @ greater ) )
=> ( B @ ( A @ positional_advantage ) ) )
& ( ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ~ ( B @ ( A @ positional_advantage ) ) ) )
=> ( A @ robust_position ) )
& ( ( A @ robust_position )
=> ! [B: $i] :
( ( ( tau @ ( B @ ( A @ age ) @ greater ) )
=> ( B @ ( A @ positional_advantage ) ) )
& ( ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ~ ( B @ ( A @ positional_advantage ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(76,plain,
( ! [A: $i] :
( ( ! [B: $i] :
( ( tau @ ( B @ ( A @ age ) @ greater ) )
=> ( B @ ( A @ positional_advantage ) ) )
& ! [B: $i] :
( ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ~ ( B @ ( A @ positional_advantage ) ) ) )
=> ( A @ robust_position ) )
& ! [A: $i] :
( ( A @ robust_position )
=> ( ! [B: $i] :
( ( tau @ ( B @ ( A @ age ) @ greater ) )
=> ( B @ ( A @ positional_advantage ) ) )
& ! [B: $i] :
( ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ~ ( B @ ( A @ positional_advantage ) ) ) ) ) ),
inference(miniscope,[status(thm)],[75]) ).
thf(77,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ robust_position )
| ~ ( D @ sk7 @ ( D @ positional_advantage ) )
| ( D @ sk6 @ ( D @ positional_advantage ) ) )
& ( ( D @ robust_position )
| ( tau @ ( D @ sk7 @ ( D @ age ) @ greater ) )
| ( D @ sk6 @ ( D @ positional_advantage ) ) )
& ( ( D @ robust_position )
| ~ ( D @ sk7 @ ( D @ positional_advantage ) )
| ( tau @ ( D @ sk6 @ ( D @ age ) @ smaller_or_equal ) ) )
& ( ( D @ robust_position )
| ( tau @ ( D @ sk7 @ ( D @ age ) @ greater ) )
| ( tau @ ( D @ sk6 @ ( D @ age ) @ smaller_or_equal ) ) )
& ( ( C @ ( A @ positional_advantage ) )
| ~ ( tau @ ( C @ ( A @ age ) @ greater ) )
| ~ ( A @ robust_position ) )
& ( ~ ( B @ ( A @ positional_advantage ) )
| ~ ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ robust_position ) ) ),
inference(cnf,[status(esa)],[76]) ).
thf(81,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ positional_advantage ) )
| ~ ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ robust_position ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(3731,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ $true
| ~ ( A @ robust_position ) ),
inference(paramod_ordered,[status(thm)],[26,81]) ).
thf(3732,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( A @ robust_position ) ),
inference(simp,[status(thm)],[3731]) ).
thf(3733,plain,
( ~ ( sk4 @ ( sk1 @ positional_advantage ) )
| ~ ( sk1 @ robust_position ) ),
inference(pattern_uni,[status(thm)],[3732:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(29,plain,
sk1 @ robust_position,
inference(cnfConj,[status(thm)],[23]) ).
thf(4289,plain,
( ~ ( sk4 @ ( sk1 @ positional_advantage ) )
| ~ $true ),
inference(rewrite,[status(thm)],[3733,29]) ).
thf(4290,plain,
~ ( sk4 @ ( sk1 @ positional_advantage ) ),
inference(simp,[status(thm)],[4289]) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ positional_advantage ) )
| ~ ( tau @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ robust_position ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ positional_advantage ) )
| ~ ( tau @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ robust_position ) ),
inference(simp,[status(thm)],[83]) ).
thf(2034,plain,
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,471]) ).
thf(2035,plain,
( ( mod1 @ ( mod2 @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[2034]) ).
thf(2060,plain,
( ( mod2 != mod1 )
| ( mod2 != mod1 ) ),
inference(simp,[status(thm)],[2035]) ).
thf(2072,plain,
mod2 != mod1,
inference(simp,[status(thm)],[2060]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(144,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(145,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(cnf,[status(esa)],[144]) ).
thf(146,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[145]) ).
thf(4165,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( B @ ( A @ age ) @ greater ) ) )
| ( B @ ( A @ positional_advantage ) )
| ~ $true
| ~ ( A @ robust_position ) ),
inference(paramod_ordered,[status(thm)],[28,88]) ).
thf(4166,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( B @ ( A @ age ) @ greater ) ) )
| ( B @ ( A @ positional_advantage ) )
| ~ ( A @ robust_position ) ),
inference(simp,[status(thm)],[4165]) ).
thf(4167,plain,
( ( sk5 @ ( sk1 @ positional_advantage ) )
| ~ ( sk1 @ robust_position ) ),
inference(pattern_uni,[status(thm)],[4166:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(4331,plain,
( ( sk5 @ ( sk1 @ positional_advantage ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4167,29]) ).
thf(4332,plain,
sk5 @ ( sk1 @ positional_advantage ),
inference(simp,[status(thm)],[4331]) ).
thf(4333,plain,
( ( ( sk5 @ ( sk1 @ positional_advantage ) )
!= ( sk4 @ ( sk1 @ positional_advantage ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4332,4290]) ).
thf(4334,plain,
( ( sk5 @ ( sk1 @ positional_advantage ) )
!= ( sk4 @ ( sk1 @ positional_advantage ) ) ),
inference(simp,[status(thm)],[4333]) ).
thf(4365,plain,
( ( sk5 != sk4 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[4334]) ).
thf(4370,plain,
sk5 != sk4,
inference(simp,[status(thm)],[4365]) ).
thf(4376,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk4 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,4370]) ).
thf(4377,plain,
! [A: $i] :
( ( A != sk4 )
| ( sk5 @ ( A @ greater ) )
| ( sk5 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[4376:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(4383,plain,
( ( sk5 @ ( sk4 @ greater ) )
| ( sk5 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[4377]) ).
thf(139,plain,
( ! [A: $i,B: $i] :
( ( A @ ( B @ greater ) )
=> ( B @ ( A @ smaller ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ smaller ) )
=> ( A @ ( B @ greater ) ) ) ),
inference(miniscope,[status(thm)],[138]) ).
thf(140,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ smaller ) )
| ~ ( C @ ( D @ greater ) ) )
& ( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ) ),
inference(cnf,[status(esa)],[139]) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(cnfConj,[status(thm)],[140]) ).
thf(9646,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[4383,141]) ).
thf(9647,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[9646]) ).
thf(9648,plain,
( ( sk4 @ ( sk5 @ greater ) )
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9647:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(27,plain,
tau @ ( sigma @ smaller ),
inference(cnfConj,[status(thm)],[23]) ).
thf(150,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[36]) ).
thf(156,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[150]) ).
thf(162,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[27,156]) ).
thf(163,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[162]) ).
thf(170,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[163]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
<=> ( ~ ( ( B @ ( A @ is_aligned ) )
<=> ( C @ ( A @ is_aligned ) ) )
& ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
thf(104,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ~ ( ( ( C @ ( A @ is_aligned ) )
=> ( B @ ( A @ is_aligned ) ) )
& ( ( B @ ( A @ is_aligned ) )
=> ( C @ ( A @ is_aligned ) ) ) )
& ( A @ organization ) )
=> ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ( ( C @ ( B @ ( A @ dissimilar ) ) )
=> ( ~ ( ( ( C @ ( A @ is_aligned ) )
=> ( B @ ( A @ is_aligned ) ) )
& ( ( B @ ( A @ is_aligned ) )
=> ( C @ ( A @ is_aligned ) ) ) )
& ( A @ organization ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(105,plain,
( ! [A: $i,B: $i,C: $i] :
( ( ~ ( ( ( C @ ( A @ is_aligned ) )
=> ( B @ ( A @ is_aligned ) ) )
& ( ( B @ ( A @ is_aligned ) )
=> ( C @ ( A @ is_aligned ) ) ) )
& ( A @ organization ) )
=> ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
=> ( ~ ( ( ( C @ ( A @ is_aligned ) )
=> ( B @ ( A @ is_aligned ) ) )
& ( ( B @ ( A @ is_aligned ) )
=> ( C @ ( A @ is_aligned ) ) ) )
& ( A @ organization ) ) ) ),
inference(miniscope,[status(thm)],[104]) ).
thf(106,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ ( D @ dissimilar ) ) )
| ( E @ ( D @ is_aligned ) )
| ~ ( F @ ( D @ is_aligned ) )
| ~ ( D @ organization ) )
& ( ( F @ ( E @ ( D @ dissimilar ) ) )
| ( F @ ( D @ is_aligned ) )
| ~ ( E @ ( D @ is_aligned ) )
| ~ ( D @ organization ) )
& ( ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ( ( C @ ( A @ is_aligned ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ( ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ) ),
inference(cnf,[status(esa)],[105]) ).
thf(109,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[106]) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[109]) ).
thf(20,axiom,
mod1 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
thf(148,plain,
mod1 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(451,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[119,74]) ).
thf(452,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[451]) ).
thf(453,plain,
~ ( mod1 @ ( low @ greater ) ),
inference(pattern_uni,[status(thm)],[452:[bind(A,$thf( mod1 )),bind(B,$thf( low ))]]) ).
thf(759,plain,
( ( ( mod1 @ ( high @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,453]) ).
thf(760,plain,
( ( mod1 @ ( high @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[759]) ).
thf(765,plain,
( ( mod1 != mod1 )
| ( high != low ) ),
inference(simp,[status(thm)],[760]) ).
thf(779,plain,
high != low,
inference(simp,[status(thm)],[765]) ).
thf(1878,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,779]) ).
thf(1879,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( high @ greater ) )
| ( A @ ( high @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1878:[bind(A,$thf( high ))]]) ).
thf(1882,plain,
( ( low @ ( high @ greater ) )
| ( low @ ( high @ smaller ) ) ),
inference(simp,[status(thm)],[1879]) ).
thf(21,axiom,
mod2 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).
thf(149,plain,
mod2 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(499,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,74]) ).
thf(500,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[499]) ).
thf(501,plain,
~ ( high @ ( mod2 @ greater ) ),
inference(pattern_uni,[status(thm)],[500:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(2216,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,501]) ).
thf(2217,plain,
( ( mod2 @ ( high @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2216]) ).
thf(2233,plain,
( ( high != mod2 )
| ( high != mod2 ) ),
inference(simp,[status(thm)],[2217]) ).
thf(2248,plain,
high != mod2,
inference(simp,[status(thm)],[2233]) ).
thf(2251,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,2248]) ).
thf(2252,plain,
! [A: $i] :
( ( A != mod2 )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2251:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(2254,plain,
( ( high @ ( mod2 @ greater ) )
| ( high @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[2252]) ).
thf(5822,plain,
( $false
| ( high @ ( mod2 @ smaller ) ) ),
inference(rewrite,[status(thm)],[2254,501]) ).
thf(5823,plain,
high @ ( mod2 @ smaller ),
inference(simp,[status(thm)],[5822]) ).
thf(132,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(cnfConj,[status(thm)],[130]) ).
thf(135,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[132]) ).
thf(9349,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5823,135]) ).
thf(9350,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9349]) ).
thf(9351,plain,
high @ ( mod2 @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9350:[bind(A,$thf( mod2 )),bind(B,$thf( high ))]]) ).
thf(5,axiom,
very_low @ ( low @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).
thf(56,plain,
very_low @ ( low @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(445,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[56,74]) ).
thf(446,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[445]) ).
thf(447,plain,
~ ( low @ ( very_low @ greater ) ),
inference(pattern_uni,[status(thm)],[446:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(542,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,447]) ).
thf(543,plain,
( ( low @ ( mod2 @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[542]) ).
thf(555,plain,
( ( low != low )
| ( mod2 != very_low ) ),
inference(simp,[status(thm)],[543]) ).
thf(558,plain,
mod2 != very_low,
inference(simp,[status(thm)],[555]) ).
thf(1113,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,558]) ).
thf(1114,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod2 @ greater ) )
| ( A @ ( mod2 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1113:[bind(A,$thf( mod2 ))]]) ).
thf(1544,plain,
( ( very_low @ ( mod2 @ greater ) )
| ( very_low @ ( mod2 @ smaller ) ) ),
inference(simp,[status(thm)],[1114]) ).
thf(9322,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( very_low @ ( mod2 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1544,135]) ).
thf(9323,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[9322]) ).
thf(9324,plain,
( ( very_low @ ( mod2 @ smaller_or_equal ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9323:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(745,plain,
( ( ( low @ ( mod1 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[119,453]) ).
thf(746,plain,
( ( low @ ( mod1 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[745]) ).
thf(768,plain,
( ( mod1 != low )
| ( mod1 != low ) ),
inference(simp,[status(thm)],[746]) ).
thf(776,plain,
mod1 != low,
inference(simp,[status(thm)],[768]) ).
thf(2936,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,776]) ).
thf(2937,plain,
! [A: $i] :
( ( A != low )
| ( mod1 @ ( A @ greater ) )
| ~ ( mod1 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2936:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(3431,plain,
( ( mod1 @ ( low @ greater ) )
| ~ ( mod1 @ ( low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2937]) ).
thf(16436,plain,
( $false
| ~ ( mod1 @ ( low @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3431,453]) ).
thf(16437,plain,
~ ( mod1 @ ( low @ greater_or_equal ) ),
inference(simp,[status(thm)],[16436]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( ( sigma @ ( C @ ( A @ age ) @ greater ) )
<=> ( C @ ( B @ ( A @ dissimilar ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( ( ( C @ ( B @ ( A @ dissimilar ) ) )
=> ( sigma @ ( C @ ( A @ age ) @ greater ) ) )
& ( ( sigma @ ( C @ ( A @ age ) @ greater ) )
=> ( C @ ( B @ ( A @ dissimilar ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(245,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,69]) ).
thf(246,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[245]) ).
thf(247,plain,
mod1 @ ( mod2 @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[246:[bind(A,$thf( mod2 )),bind(B,$thf( mod1 ))]]) ).
thf(4291,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ positional_advantage ) )
!= ( sk4 @ ( sk1 @ positional_advantage ) ) )
| ~ $true
| ~ ( tau @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ robust_position ) ),
inference(paramod_ordered,[status(thm)],[88,4290]) ).
thf(4292,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ positional_advantage ) )
!= ( sk4 @ ( sk1 @ positional_advantage ) ) )
| ~ ( tau @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ robust_position ) ),
inference(simp,[status(thm)],[4291]) ).
thf(4293,plain,
( ~ ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ~ ( sk1 @ robust_position ) ),
inference(pattern_uni,[status(thm)],[4292:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(30184,plain,
( ~ ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4293,29]) ).
thf(30185,plain,
~ ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ),
inference(simp,[status(thm)],[30184]) ).
thf(30229,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( high @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,30185]) ).
thf(30230,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( high @ greater ) ) ),
inference(simp,[status(thm)],[30229]) ).
thf(30283,plain,
( ( mod2 != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[30230]) ).
thf(242,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[56,69]) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[242]) ).
thf(244,plain,
very_low @ ( low @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[243:[bind(A,$thf( low )),bind(B,$thf( very_low ))]]) ).
thf(2425,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,779]) ).
thf(2426,plain,
! [A: $i] :
( ( A != low )
| ( high @ ( A @ greater ) )
| ~ ( high @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2425:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(3270,plain,
( ( high @ ( low @ greater ) )
| ~ ( high @ ( low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2426]) ).
thf(6274,plain,
( ( ( high @ ( low @ greater_or_equal ) )
!= ( very_low @ ( low @ greater_or_equal ) ) )
| ( high @ ( low @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[244,3270]) ).
thf(6275,plain,
( ( ( high @ ( low @ greater_or_equal ) )
!= ( very_low @ ( low @ greater_or_equal ) ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[6274]) ).
thf(6311,plain,
( ( high != very_low )
| ( low != low )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[6275]) ).
thf(6316,plain,
( ( high != very_low )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[6311]) ).
thf(6399,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[6316,69]) ).
thf(6400,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6399]) ).
thf(6401,plain,
( ( high @ ( low @ greater_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[6400:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(197,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk2 @ ( sk1 @ age ) ) )
| ( sigma @ ( zero @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[37,32]) ).
thf(198,plain,
( ( sk4 != sk2 )
| ( sk1 != sk1 )
| ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[197]) ).
thf(199,plain,
( ( sk4 != sk2 )
| ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[198]) ).
thf(457,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,74]) ).
thf(458,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( sigma @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[457]) ).
thf(459,plain,
~ ( sigma @ ( zero @ greater ) ),
inference(pattern_uni,[status(thm)],[458:[bind(A,$thf( sigma )),bind(B,$thf( zero ))]]) ).
thf(632,plain,
( ( sk4 != sk2 )
| $false ),
inference(rewrite,[status(thm)],[199,459]) ).
thf(633,plain,
sk4 != sk2,
inference(simp,[status(thm)],[632]) ).
thf(7865,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,633]) ).
thf(7866,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk4 @ smaller ) )
| ~ ( A @ ( sk4 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7865:[bind(A,$thf( sk4 ))]]) ).
thf(9127,plain,
( ( sk2 @ ( sk4 @ smaller ) )
| ~ ( sk2 @ ( sk4 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7866]) ).
thf(8416,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[26,134]) ).
thf(8417,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(simp,[status(thm)],[8416]) ).
thf(8418,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) )
| ( ( sk4 @ ( sk1 @ age ) )
= tau ) ),
inference(pattern_uni,[status(thm)],[8417:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(30,plain,
sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ),
inference(cnfConj,[status(thm)],[23]) ).
thf(9670,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,141]) ).
thf(9671,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[9670]) ).
thf(9672,plain,
sigma @ ( tau @ greater ),
inference(pattern_uni,[status(thm)],[9671:[bind(A,$thf( sigma )),bind(B,$thf( tau ))]]) ).
thf(517,plain,
! [B: $i,A: $i] :
( ~ $true
| ( ( A @ ( B @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(eqfactor_ordered,[status(thm)],[74]) ).
thf(518,plain,
! [A: $i] :
~ ( A @ ( A @ greater ) ),
inference(pattern_uni,[status(thm)],[517:[bind(A,$thf( B ))]]) ).
thf(519,plain,
! [A: $i] :
~ ( A @ ( A @ greater ) ),
inference(simp,[status(thm)],[518]) ).
thf(9832,plain,
! [A: $i] :
( ( ( sigma @ ( tau @ greater ) )
!= ( A @ ( A @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,519]) ).
thf(9833,plain,
! [A: $i] :
( ( sigma @ ( tau @ greater ) )
!= ( A @ ( A @ greater ) ) ),
inference(simp,[status(thm)],[9832]) ).
thf(9886,plain,
! [A: $i] :
( ( sigma != A )
| ( tau != A ) ),
inference(simp,[status(thm)],[9833]) ).
thf(9906,plain,
tau != sigma,
inference(simp,[status(thm)],[9886]) ).
thf(9912,plain,
! [B: $i,A: $i] :
( ( A != tau )
| ( B != sigma )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,9906]) ).
thf(9913,plain,
! [A: $i] :
( ( A != sigma )
| ( A @ ( tau @ smaller ) )
| ~ ( A @ ( tau @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9912:[bind(A,$thf( tau ))]]) ).
thf(9926,plain,
( ( sigma @ ( tau @ smaller ) )
| ~ ( sigma @ ( tau @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9913]) ).
thf(25477,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( sigma @ ( tau @ smaller_or_equal ) ) )
| ( sigma @ ( tau @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[30,9926]) ).
thf(25478,plain,
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( sigma @ ( tau @ smaller_or_equal ) ) )
| ( sigma @ ( tau @ smaller ) ) ),
inference(simp,[status(thm)],[25477]) ).
thf(25500,plain,
( ( sigma != sigma )
| ( ( sk3 @ ( sk1 @ age ) )
!= tau )
| ( sigma @ ( tau @ smaller ) ) ),
inference(simp,[status(thm)],[25478]) ).
thf(25534,plain,
( ( ( sk3 @ ( sk1 @ age ) )
!= tau )
| ( sigma @ ( tau @ smaller ) ) ),
inference(simp,[status(thm)],[25500]) ).
thf(32451,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ age ) )
!= tau ) ),
inference(paramod_ordered,[status(thm)],[25534,141]) ).
thf(32452,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
!= tau ) ),
inference(simp,[status(thm)],[32451]) ).
thf(32453,plain,
( ( tau @ ( sigma @ greater ) )
| ( ( sk3 @ ( sk1 @ age ) )
!= tau ) ),
inference(pattern_uni,[status(thm)],[32452:[bind(A,$thf( tau )),bind(B,$thf( sigma ))]]) ).
thf(9826,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,74]) ).
thf(9827,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[9826]) ).
thf(9828,plain,
~ ( tau @ ( sigma @ greater ) ),
inference(pattern_uni,[status(thm)],[9827:[bind(A,$thf( tau )),bind(B,$thf( sigma ))]]) ).
thf(32973,plain,
( $false
| ( ( sk3 @ ( sk1 @ age ) )
!= tau ) ),
inference(rewrite,[status(thm)],[32453,9828]) ).
thf(32974,plain,
( ( sk3 @ ( sk1 @ age ) )
!= tau ),
inference(simp,[status(thm)],[32973]) ).
thf(34619,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( tau != tau )
| ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[8418,32974]) ).
thf(34620,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[34619]) ).
thf(34793,plain,
( ( sk4 != sk3 )
| ( sk1 != sk1 )
| ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[34620]) ).
thf(34941,plain,
( ( sk4 != sk3 )
| ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[34793]) ).
thf(35788,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sk4 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[34941,141]) ).
thf(35789,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[35788]) ).
thf(35790,plain,
( ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) )
| ( sk4 != sk3 ) ),
inference(pattern_uni,[status(thm)],[35789:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(36070,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk4 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[35790,69]) ).
thf(36071,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[36070]) ).
thf(36072,plain,
( ( sk4 @ ( sk1 @ age ) @ ( tau @ greater_or_equal ) )
| ( sk4 != sk3 ) ),
inference(pattern_uni,[status(thm)],[36071:[bind(A,$thf( tau )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(534,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,447]) ).
thf(535,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[534]) ).
thf(550,plain,
( ( low != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= very_low ) ),
inference(simp,[status(thm)],[535]) ).
thf(275,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,69]) ).
thf(276,plain,
! [B: $i,A: $i] :
( ( ( low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[275]) ).
thf(277,plain,
low @ ( mod2 @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[276:[bind(A,$thf( mod2 )),bind(B,$thf( low ))]]) ).
thf(6081,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( low @ ( mod2 @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[277,3353]) ).
thf(6082,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( low @ ( mod2 @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6081]) ).
thf(6089,plain,
( ( sk2 != low )
| ( sk5 != mod2 )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6082]) ).
thf(269,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,69]) ).
thf(270,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[269]) ).
thf(271,plain,
mod2 @ ( high @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[270:[bind(A,$thf( high )),bind(B,$thf( mod2 ))]]) ).
thf(2743,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,558]) ).
thf(2744,plain,
! [A: $i] :
( ( A != very_low )
| ( mod2 @ ( A @ greater ) )
| ~ ( mod2 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2743:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(3370,plain,
( ( mod2 @ ( very_low @ greater ) )
| ~ ( mod2 @ ( very_low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2744]) ).
thf(14647,plain,
( ( ( mod2 @ ( high @ greater_or_equal ) )
!= ( mod2 @ ( very_low @ greater_or_equal ) ) )
| ( mod2 @ ( very_low @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[271,3370]) ).
thf(14648,plain,
( ( ( mod2 @ ( high @ greater_or_equal ) )
!= ( mod2 @ ( very_low @ greater_or_equal ) ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[14647]) ).
thf(14674,plain,
( ( mod2 != mod2 )
| ( high != very_low )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[14648]) ).
thf(14689,plain,
( ( high != very_low )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[14674]) ).
thf(15205,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[14689,74]) ).
thf(15206,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15205]) ).
thf(15207,plain,
( ~ ( very_low @ ( mod2 @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[15206:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(8587,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( A = B ) ),
inference(paramod_ordered,[status(thm)],[30,134]) ).
thf(8588,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller_or_equal ) )
!= ( B @ ( A @ smaller_or_equal ) ) )
| ( B @ ( A @ smaller ) )
| ( A = B ) ),
inference(simp,[status(thm)],[8587]) ).
thf(8589,plain,
( ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ age ) )
= sigma ) ),
inference(pattern_uni,[status(thm)],[8588:[bind(A,$thf( sk3 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(475,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,74]) ).
thf(476,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[475]) ).
thf(477,plain,
~ ( sk5 @ ( sk1 @ age ) @ ( tau @ greater ) ),
inference(pattern_uni,[status(thm)],[476:[bind(A,$thf( sk5 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(9848,plain,
( ( ( sk5 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,477]) ).
thf(9849,plain,
( ( sk5 @ ( sk1 @ age ) @ ( tau @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9848]) ).
thf(9894,plain,
( ( ( sk5 @ ( sk1 @ age ) )
!= sigma )
| ( tau != tau ) ),
inference(simp,[status(thm)],[9849]) ).
thf(9908,plain,
( ( sk5 @ ( sk1 @ age ) )
!= sigma ),
inference(simp,[status(thm)],[9894]) ).
thf(38552,plain,
( ( ( sk5 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma != sigma )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[8589,9908]) ).
thf(38553,plain,
( ( ( sk5 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[38552]) ).
thf(38645,plain,
( ( sk5 != sk3 )
| ( sk1 != sk1 )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[38553]) ).
thf(38812,plain,
( ( sk5 != sk3 )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[38645]) ).
thf(6053,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( very_low @ ( low @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[244,3353]) ).
thf(6054,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( very_low @ ( low @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6053]) ).
thf(6083,plain,
( ( sk2 != very_low )
| ( sk5 != low )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6054]) ).
thf(32815,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(paramod_ordered,[status(thm)],[6083,513]) ).
thf(32816,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32815]) ).
thf(32877,plain,
( ( sk2 != mod2 )
| ( sk5 != low )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32816]) ).
thf(32913,plain,
( ( sk2 != mod2 )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32877]) ).
thf(266,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,69]) ).
thf(267,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[266]) ).
thf(268,plain,
mod1 @ ( high @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[267:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(6071,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( mod1 @ ( high @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[268,3353]) ).
thf(6072,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( mod1 @ ( high @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6071]) ).
thf(6090,plain,
( ( sk2 != mod1 )
| ( sk5 != high )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6072]) ).
thf(37239,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true
| ( sk2 != mod1 )
| ( sk5 != high ) ),
inference(paramod_ordered,[status(thm)],[6090,453]) ).
thf(37240,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ( sk2 != mod1 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[37239]) ).
thf(37345,plain,
( ( sk2 != mod1 )
| ( sk5 != low )
| ( sk2 != mod1 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[37240]) ).
thf(37373,plain,
( ( sk5 != low )
| ( sk2 != mod1 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[37345]) ).
thf(1747,plain,
( ( ( zero @ ( tau @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,465]) ).
thf(1748,plain,
( ( zero @ ( tau @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1747]) ).
thf(1776,plain,
( ( tau != zero )
| ( tau != zero ) ),
inference(simp,[status(thm)],[1748]) ).
thf(1782,plain,
tau != zero,
inference(simp,[status(thm)],[1776]) ).
thf(30188,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( very_low @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[56,30185]) ).
thf(30189,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( very_low @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[30188]) ).
thf(30286,plain,
( ( very_low != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[30189]) ).
thf(4339,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk1 @ positional_advantage ) )
!= ( B @ ( A @ positional_advantage ) ) )
| ~ $true
| ~ ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ robust_position ) ),
inference(paramod_ordered,[status(thm)],[4332,81]) ).
thf(4340,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk1 @ positional_advantage ) )
!= ( B @ ( A @ positional_advantage ) ) )
| ~ ( tau @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ robust_position ) ),
inference(simp,[status(thm)],[4339]) ).
thf(4341,plain,
( ~ ( tau @ ( sk5 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ~ ( sk1 @ robust_position ) ),
inference(pattern_uni,[status(thm)],[4340:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(31844,plain,
( ~ ( tau @ ( sk5 @ ( sk1 @ age ) @ smaller_or_equal ) )
| ~ $true ),
inference(rewrite,[status(thm)],[4341,29]) ).
thf(31845,plain,
~ ( tau @ ( sk5 @ ( sk1 @ age ) @ smaller_or_equal ) ),
inference(simp,[status(thm)],[31844]) ).
thf(31905,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ smaller_or_equal ) )
!= ( tau @ ( sk5 @ ( sk1 @ age ) @ smaller_or_equal ) ) )
| ~ $true
| ~ ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[135,31845]) ).
thf(31906,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ smaller_or_equal ) )
!= ( tau @ ( sk5 @ ( sk1 @ age ) @ smaller_or_equal ) ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[31905]) ).
thf(31907,plain,
~ ( tau @ ( sk5 @ ( sk1 @ age ) @ smaller ) ),
inference(pattern_uni,[status(thm)],[31906:[bind(A,$thf( sk5 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(1884,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,1740]) ).
thf(1885,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk5 @ greater ) )
| ( A @ ( sk5 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1884:[bind(A,$thf( sk5 ))]]) ).
thf(1888,plain,
( ( sk2 @ ( sk5 @ greater ) )
| ( sk2 @ ( sk5 @ smaller ) ) ),
inference(simp,[status(thm)],[1885]) ).
thf(9655,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1888,141]) ).
thf(9656,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[9655]) ).
thf(9657,plain,
( ( sk5 @ ( sk2 @ greater ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9656:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(638,plain,
( ( ( zero @ ( sigma @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,459]) ).
thf(639,plain,
( ( zero @ ( sigma @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[638]) ).
thf(666,plain,
( ( sigma != zero )
| ( sigma != zero ) ),
inference(simp,[status(thm)],[639]) ).
thf(669,plain,
sigma != zero,
inference(simp,[status(thm)],[666]) ).
thf(1099,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,669]) ).
thf(1100,plain,
! [A: $i] :
( ( A != zero )
| ( sigma @ ( A @ greater ) )
| ( sigma @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1099:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(1539,plain,
( ( sigma @ ( zero @ greater ) )
| ( sigma @ ( zero @ smaller ) ) ),
inference(simp,[status(thm)],[1100]) ).
thf(2135,plain,
( $false
| ( sigma @ ( zero @ smaller ) ) ),
inference(rewrite,[status(thm)],[1539,459]) ).
thf(2136,plain,
sigma @ ( zero @ smaller ),
inference(simp,[status(thm)],[2135]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[40]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ),
inference(lifteq,[status(thm)],[44]) ).
thf(15262,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[14689,459]) ).
thf(15263,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15262]) ).
thf(15286,plain,
( ( mod2 != sigma )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15263]) ).
thf(7867,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,633]) ).
thf(7868,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk4 @ ( A @ smaller ) )
| ~ ( sk4 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7867:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(9128,plain,
( ( sk4 @ ( sk2 @ smaller ) )
| ~ ( sk4 @ ( sk2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7868]) ).
thf(142,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(cnfConj,[status(thm)],[140]) ).
thf(143,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[142]) ).
thf(10140,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,143]) ).
thf(10141,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[10140]) ).
thf(10142,plain,
sk4 @ ( sk1 @ age ) @ ( sigma @ smaller ),
inference(pattern_uni,[status(thm)],[10141:[bind(A,$thf( sigma )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(522,plain,
( ( ( low @ ( mod1 @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[119,447]) ).
thf(523,plain,
( ( low @ ( mod1 @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[522]) ).
thf(544,plain,
( ( low != low )
| ( mod1 != very_low ) ),
inference(simp,[status(thm)],[523]) ).
thf(556,plain,
mod1 != very_low,
inference(simp,[status(thm)],[544]) ).
thf(2968,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,556]) ).
thf(2969,plain,
! [A: $i] :
( ( A != very_low )
| ( mod1 @ ( A @ greater ) )
| ~ ( mod1 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2968:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(3444,plain,
( ( mod1 @ ( very_low @ greater ) )
| ~ ( mod1 @ ( very_low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2969]) ).
thf(18261,plain,
( ( ( mod1 @ ( high @ greater_or_equal ) )
!= ( mod1 @ ( very_low @ greater_or_equal ) ) )
| ( mod1 @ ( very_low @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[268,3444]) ).
thf(18262,plain,
( ( ( mod1 @ ( high @ greater_or_equal ) )
!= ( mod1 @ ( very_low @ greater_or_equal ) ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[18261]) ).
thf(18277,plain,
( ( mod1 != mod1 )
| ( high != very_low )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[18262]) ).
thf(18293,plain,
( ( high != very_low )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[18277]) ).
thf(18367,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18293,459]) ).
thf(18368,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18367]) ).
thf(18385,plain,
( ( mod1 != sigma )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18368]) ).
thf(493,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,74]) ).
thf(494,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[493]) ).
thf(495,plain,
~ ( high @ ( mod1 @ greater ) ),
inference(pattern_uni,[status(thm)],[494:[bind(A,$thf( high )),bind(B,$thf( mod1 ))]]) ).
thf(2098,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,495]) ).
thf(2099,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[2098]) ).
thf(2126,plain,
( ( high != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[2099]) ).
thf(217,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,156]) ).
thf(218,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[217:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(20417,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[218,31,5535]) ).
thf(20418,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[20417]) ).
thf(151,plain,
( ~ $true
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(eqfactor_ordered,[status(thm)],[36]) ).
thf(153,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[151]) ).
thf(157,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[153]) ).
thf(1307,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,556]) ).
thf(1308,plain,
! [A: $i] :
( ( A != very_low )
| ( mod1 @ ( A @ greater ) )
| ( mod1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1307:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(1615,plain,
( ( mod1 @ ( very_low @ greater ) )
| ( mod1 @ ( very_low @ smaller ) ) ),
inference(simp,[status(thm)],[1308]) ).
thf(9358,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( mod1 @ ( very_low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1615,135]) ).
thf(9359,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[9358]) ).
thf(9360,plain,
( ( mod1 @ ( very_low @ smaller_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9359:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(121,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( ! [C: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
=> ( sigma @ ( C @ ( A @ age ) @ greater ) ) )
& ! [C: $i] :
( ( sigma @ ( C @ ( A @ age ) @ greater ) )
=> ( C @ ( B @ ( A @ dissimilar ) ) ) ) ) ),
inference(miniscope,[status(thm)],[120]) ).
thf(122,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sigma @ ( D @ ( A @ age ) @ greater ) )
| ~ ( D @ ( B @ ( A @ dissimilar ) ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) )
& ( ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ) ),
inference(cnf,[status(esa)],[121]) ).
thf(123,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[122]) ).
thf(125,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ age ) )
!= zero ) ),
inference(lifteq,[status(thm)],[123]) ).
thf(1115,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,558]) ).
thf(1116,plain,
! [A: $i] :
( ( A != very_low )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1115:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(1545,plain,
( ( mod2 @ ( very_low @ greater ) )
| ( mod2 @ ( very_low @ smaller ) ) ),
inference(simp,[status(thm)],[1116]) ).
thf(6045,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( mod1 @ ( mod2 @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[247,3353]) ).
thf(6046,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( mod1 @ ( mod2 @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6045]) ).
thf(6091,plain,
( ( sk2 != mod1 )
| ( sk5 != mod2 )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6046]) ).
thf(38038,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(paramod_ordered,[status(thm)],[6091,501]) ).
thf(38039,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[38038]) ).
thf(38045,plain,
( ( sk2 != high )
| ( sk5 != mod2 )
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[38039]) ).
thf(38071,plain,
( ( sk2 != high )
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[38045]) ).
thf(152,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[151]) ).
thf(33841,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( tau @ ( sigma @ greater ) ) )
| ~ $true
| ( sk2 != zero )
| ( sk5 != sigma ) ),
inference(paramod_ordered,[status(thm)],[6085,9828]) ).
thf(33842,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( tau @ ( sigma @ greater ) ) )
| ( sk2 != zero )
| ( sk5 != sigma ) ),
inference(simp,[status(thm)],[33841]) ).
thf(33944,plain,
( ( sk2 != tau )
| ( sk5 != sigma )
| ( sk2 != zero )
| ( sk5 != sigma ) ),
inference(simp,[status(thm)],[33842]) ).
thf(33962,plain,
( ( sk2 != tau )
| ( sk2 != zero )
| ( sk5 != sigma ) ),
inference(simp,[status(thm)],[33944]) ).
thf(30203,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,30185]) ).
thf(30204,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[30203]) ).
thf(30289,plain,
( ( mod1 != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[30204]) ).
thf(185,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ $true
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[27,170]) ).
thf(186,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[185]) ).
thf(187,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[186]) ).
thf(286,plain,
( ( sigma != sigma )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(eqfactor_ordered,[status(thm)],[187]) ).
thf(288,plain,
( ( sk5 != sk3 )
| ( sk1 != sk1 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[286]) ).
thf(289,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[288]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) )
=> ( C @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(57,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) )
=> ( C @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9634,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( low @ ( high @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1882,141]) ).
thf(9635,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( low @ ( high @ greater ) ) ),
inference(simp,[status(thm)],[9634]) ).
thf(9636,plain,
( ( high @ ( low @ greater ) )
| ( low @ ( high @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9635:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(2210,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,501]) ).
thf(2211,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2210]) ).
thf(2237,plain,
( ( high != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[2211]) ).
thf(7777,plain,
! [B: $i,A: $i] :
( ( A != sigma )
| ( B != zero )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,669]) ).
thf(7778,plain,
! [A: $i] :
( ( A != zero )
| ( A @ ( sigma @ smaller ) )
| ~ ( A @ ( sigma @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7777:[bind(A,$thf( sigma ))]]) ).
thf(9103,plain,
( ( zero @ ( sigma @ smaller ) )
| ~ ( zero @ ( sigma @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7778]) ).
thf(2042,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,471]) ).
thf(2043,plain,
( ( mod2 @ ( high @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[2042]) ).
thf(2063,plain,
( ( mod2 != mod2 )
| ( high != mod1 ) ),
inference(simp,[status(thm)],[2043]) ).
thf(2074,plain,
high != mod1,
inference(simp,[status(thm)],[2063]) ).
thf(2083,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod1 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,2074]) ).
thf(2084,plain,
! [A: $i] :
( ( A != mod1 )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2083:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(2086,plain,
( ( high @ ( mod1 @ greater ) )
| ( high @ ( mod1 @ smaller ) ) ),
inference(simp,[status(thm)],[2084]) ).
thf(5679,plain,
( $false
| ( high @ ( mod1 @ smaller ) ) ),
inference(rewrite,[status(thm)],[2086,495]) ).
thf(5680,plain,
high @ ( mod1 @ smaller ),
inference(simp,[status(thm)],[5679]) ).
thf(9334,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5680,135]) ).
thf(9335,plain,
! [B: $i,A: $i] :
( ( ( high @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9334]) ).
thf(9336,plain,
high @ ( mod1 @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9335:[bind(A,$thf( mod1 )),bind(B,$thf( high ))]]) ).
thf(9328,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( mod2 @ ( very_low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1545,135]) ).
thf(9329,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[9328]) ).
thf(9330,plain,
( ( mod2 @ ( very_low @ smaller_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9329:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(202,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,170]) ).
thf(203,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[202:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(16797,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[203,31,5535]) ).
thf(16798,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[16797]) ).
thf(2212,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,501]) ).
thf(2213,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[2212]) ).
thf(2236,plain,
( ( high != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[2213]) ).
thf(78,plain,
! [A: $i] :
( ( A @ robust_position )
| ~ ( A @ sk7 @ ( A @ positional_advantage ) )
| ( tau @ ( A @ sk6 @ ( A @ age ) @ smaller_or_equal ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(84,plain,
! [A: $i] :
( ( A @ robust_position )
| ~ ( A @ sk7 @ ( A @ positional_advantage ) )
| ( tau @ ( A @ sk6 @ ( A @ age ) @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[78]) ).
thf(1109,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,633]) ).
thf(1110,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk4 @ greater ) )
| ( A @ ( sk4 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1109:[bind(A,$thf( sk4 ))]]) ).
thf(1542,plain,
( ( sk2 @ ( sk4 @ greater ) )
| ( sk2 @ ( sk4 @ smaller ) ) ),
inference(simp,[status(thm)],[1110]) ).
thf(9367,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1542,135]) ).
thf(9368,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[9367]) ).
thf(9369,plain,
( ( sk2 @ ( sk4 @ smaller_or_equal ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9368:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(11,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/sandbox/benchmark/theBenchmark.p',definition_1) ).
thf(89,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)],[11]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( B @ ( A @ is_aligned ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
thf(116,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( B @ ( A @ is_aligned ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(213,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,156]) ).
thf(214,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[213:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(19401,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[214,31,5535]) ).
thf(19402,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[19401]) ).
thf(263,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,69]) ).
thf(264,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[263]) ).
thf(265,plain,
sigma @ ( sk4 @ ( sk1 @ age ) @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[264:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(9852,plain,
( ( ( high @ ( mod1 @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,495]) ).
thf(9853,plain,
( ( high @ ( mod1 @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9852]) ).
thf(9896,plain,
( ( high != sigma )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[9853]) ).
thf(15233,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[14689,143]) ).
thf(15234,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15233]) ).
thf(15235,plain,
( ( very_low @ ( mod2 @ smaller ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[15234:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(80,plain,
! [A: $i] :
( ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) )
| ( A @ sk6 @ ( A @ positional_advantage ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(85,plain,
! [A: $i] :
( ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) )
| ( A @ sk6 @ ( A @ positional_advantage ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(6059,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( mod2 @ ( high @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[271,3353]) ).
thf(6060,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( mod2 @ ( high @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6059]) ).
thf(6084,plain,
( ( sk2 != mod2 )
| ( sk5 != high )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6060]) ).
thf(33108,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ~ $true
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(paramod_ordered,[status(thm)],[6084,471]) ).
thf(33109,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33108]) ).
thf(33188,plain,
( ( sk2 != mod2 )
| ( sk5 != mod1 )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33109]) ).
thf(33218,plain,
( ( sk5 != mod1 )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33188]) ).
thf(90,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)],[89]) ).
thf(91,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ has_endowment )
| ( D @ sk9 @ ( D @ has_immunity ) )
| ~ ( D @ sk8 @ ( D @ has_immunity ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( eta @ ( D @ sk9 @ ( D @ age ) @ greater ) )
| ~ ( D @ sk8 @ ( D @ has_immunity ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( D @ sk9 @ ( D @ has_immunity ) )
| ( eta @ ( D @ sk8 @ ( D @ age ) @ smaller_or_equal ) )
| ~ ( D @ organization ) )
& ( ( D @ has_endowment )
| ( eta @ ( D @ sk9 @ ( D @ age ) @ greater ) )
| ( eta @ ( D @ sk8 @ ( 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)],[90]) ).
thf(95,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk9 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk8 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[91]) ).
thf(102,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( eta @ ( A @ sk9 @ ( A @ age ) @ greater ) )
| ( eta @ ( A @ sk8 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[95]) ).
thf(7589,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk4 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,4370]) ).
thf(7590,plain,
! [A: $i] :
( ( A != sk4 )
| ( sk5 @ ( A @ smaller ) )
| ~ ( sk5 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7589:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(9041,plain,
( ( sk5 @ ( sk4 @ smaller ) )
| ~ ( sk5 @ ( sk4 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7590]) ).
thf(526,plain,
( ( ( low @ ( very_low @ greater ) )
!= ( zero @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,447]) ).
thf(527,plain,
( ( low @ ( very_low @ greater ) )
!= ( zero @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[526]) ).
thf(546,plain,
( ( low != zero )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[527]) ).
thf(18310,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18293,74]) ).
thf(18311,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18310]) ).
thf(18312,plain,
( ~ ( very_low @ ( mod1 @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[18311:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(2038,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,471]) ).
thf(2039,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[2038]) ).
thf(2061,plain,
( ( mod2 != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[2039]) ).
thf(6422,plain,
( ( ( high @ ( low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[6316,465]) ).
thf(6423,plain,
( ( ( high @ ( low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6422]) ).
thf(6464,plain,
( ( high != tau )
| ( low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6423]) ).
thf(751,plain,
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,453]) ).
thf(752,plain,
( ( mod1 @ ( mod2 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[751]) ).
thf(775,plain,
( ( mod1 != mod1 )
| ( mod2 != low ) ),
inference(simp,[status(thm)],[752]) ).
thf(778,plain,
mod2 != low,
inference(simp,[status(thm)],[775]) ).
thf(8701,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != mod1 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,2074]) ).
thf(8702,plain,
! [A: $i] :
( ( A != mod1 )
| ( A @ ( high @ smaller ) )
| ~ ( A @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[8701:[bind(A,$thf( high ))]]) ).
thf(8888,plain,
( ( mod1 @ ( high @ smaller ) )
| ~ ( mod1 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[8702]) ).
thf(296,plain,
( ( tau != tau )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk5 != sk3 )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(eqfactor_ordered,[status(thm)],[289]) ).
thf(297,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk5 != sk3 )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[296]) ).
thf(7185,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != mod1 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,2072]) ).
thf(7186,plain,
! [A: $i] :
( ( A != mod1 )
| ( A @ ( mod2 @ smaller ) )
| ~ ( A @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7185:[bind(A,$thf( mod2 ))]]) ).
thf(8910,plain,
( ( mod1 @ ( mod2 @ smaller ) )
| ~ ( mod1 @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7186]) ).
thf(133,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[130]) ).
thf(136,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[133]) ).
thf(137,plain,
! [A: $i] : ( A @ ( A @ smaller_or_equal ) ),
inference(simp,[status(thm)],[136]) ).
thf(1880,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,779]) ).
thf(1881,plain,
! [A: $i] :
( ( A != low )
| ( high @ ( A @ greater ) )
| ( high @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1880:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(1883,plain,
( ( high @ ( low @ greater ) )
| ( high @ ( low @ smaller ) ) ),
inference(simp,[status(thm)],[1881]) ).
thf(92,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[91]) ).
thf(18338,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18293,143]) ).
thf(18339,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18338]) ).
thf(18340,plain,
( ( very_low @ ( mod1 @ smaller ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[18339:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(97,plain,
! [A: $i] :
( ( A @ organization )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[91]) ).
thf(4380,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk4 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,4370]) ).
thf(4381,plain,
! [A: $i] :
( ( A != sk4 )
| ( sk5 @ ( A @ greater ) )
| ~ ( sk5 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4380:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(4385,plain,
( ( sk5 @ ( sk4 @ greater ) )
| ~ ( sk5 @ ( sk4 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[4381]) ).
thf(2036,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,471]) ).
thf(2037,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[2036]) ).
thf(2068,plain,
( ( mod2 != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[2037]) ).
thf(36726,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ~ $true
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(paramod_ordered,[status(thm)],[6089,501]) ).
thf(36727,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( high @ ( mod2 @ greater ) ) )
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[36726]) ).
thf(36742,plain,
( ( sk2 != high )
| ( sk5 != mod2 )
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[36727]) ).
thf(36750,plain,
( ( sk2 != high )
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[36742]) ).
thf(3202,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod1 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,2074]) ).
thf(3203,plain,
! [A: $i] :
( ( A != mod1 )
| ( high @ ( A @ greater ) )
| ~ ( high @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[3202:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(3246,plain,
( ( high @ ( mod1 @ greater ) )
| ~ ( high @ ( mod1 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[3203]) ).
thf(5935,plain,
( $false
| ~ ( high @ ( mod1 @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3246,495]) ).
thf(5936,plain,
~ ( high @ ( mod1 @ greater_or_equal ) ),
inference(simp,[status(thm)],[5935]) ).
thf(2423,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,779]) ).
thf(2424,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( high @ greater ) )
| ~ ( A @ ( high @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2423:[bind(A,$thf( high ))]]) ).
thf(3269,plain,
( ( low @ ( high @ greater ) )
| ~ ( low @ ( high @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2424]) ).
thf(3555,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( sk5 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,477]) ).
thf(3556,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( sk5 @ ( sk1 @ age ) @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[3555]) ).
thf(3606,plain,
( ( ( sk5 @ ( sk1 @ age ) )
!= tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= tau ) ),
inference(simp,[status(thm)],[3556]) ).
thf(3618,plain,
( ( sk5 @ ( sk1 @ age ) )
!= tau ),
inference(simp,[status(thm)],[3606]) ).
thf(36100,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ~ $true
| ( sk4 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[35790,30185]) ).
thf(36101,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( tau @ greater ) ) )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[36100]) ).
thf(36194,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= tau )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[36101]) ).
thf(36232,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= tau )
| ( sk4 != sk3 ) ),
inference(simp,[status(thm)],[36194]) ).
thf(18341,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18293,465]) ).
thf(18342,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18341]) ).
thf(18400,plain,
( ( mod1 != tau )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18342]) ).
thf(9331,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[4383,135]) ).
thf(9332,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[9331]) ).
thf(9333,plain,
( ( sk5 @ ( sk4 @ smaller_or_equal ) )
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9332:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(32781,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(paramod_ordered,[status(thm)],[6083,453]) ).
thf(32782,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32781]) ).
thf(32881,plain,
( ( sk2 != mod1 )
| ( sk5 != low )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32782]) ).
thf(32914,plain,
( ( sk2 != mod1 )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32881]) ).
thf(1759,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,465]) ).
thf(1760,plain,
( ( low @ ( mod2 @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1759]) ).
thf(1772,plain,
( ( low != tau )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[1760]) ).
thf(8384,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,556]) ).
thf(8385,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod1 @ smaller ) )
| ~ ( A @ ( mod1 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[8384:[bind(A,$thf( mod1 ))]]) ).
thf(8800,plain,
( ( very_low @ ( mod1 @ smaller ) )
| ~ ( very_low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[8385]) ).
thf(219,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ $true
| ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) ),
inference(paramod_ordered,[status(thm)],[31,47]) ).
thf(220,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ organization )
!= ( A @ organization ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) ),
inference(simp,[status(thm)],[219]) ).
thf(221,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ positional_advantage ) )
| ( A @ ( sk1 @ is_aligned ) )
| ( A @ ( sk1 @ has_immunity ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(pattern_uni,[status(thm)],[220:[bind(A,$thf( sk1 ))]]) ).
thf(241,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ positional_advantage ) )
| ( A @ ( sk1 @ is_aligned ) )
| ( A @ ( sk1 @ has_immunity ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(simp,[status(thm)],[221]) ).
thf(27561,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ positional_advantage ) )
| ( A @ ( sk1 @ is_aligned ) )
| $false
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(rewrite,[status(thm)],[241,5535]) ).
thf(27562,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ positional_advantage ) )
| ( A @ ( sk1 @ is_aligned ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(simp,[status(thm)],[27561]) ).
thf(27739,plain,
! [A: $i] :
( ( ( sk5 @ ( sk1 @ positional_advantage ) )
!= ( A @ ( sk1 @ positional_advantage ) ) )
| ~ $true
| ( A @ ( sk1 @ is_aligned ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(paramod_ordered,[status(thm)],[4332,27562]) ).
thf(27740,plain,
! [A: $i] :
( ( ( sk5 @ ( sk1 @ positional_advantage ) )
!= ( A @ ( sk1 @ positional_advantage ) ) )
| ( A @ ( sk1 @ is_aligned ) )
| ( ( A @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(simp,[status(thm)],[27739]) ).
thf(27741,plain,
( ( sk5 @ ( sk1 @ is_aligned ) )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
= mod1 ) ),
inference(pattern_uni,[status(thm)],[27740:[bind(A,$thf( sk5 ))]]) ).
thf(206,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,170]) ).
thf(207,plain,
( ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[206:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(17882,plain,
( ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[207,31,5535]) ).
thf(17883,plain,
( ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[17882]) ).
thf(1874,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,778]) ).
thf(1875,plain,
! [A: $i] :
( ( A != low )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1874:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(1877,plain,
( ( mod2 @ ( low @ greater ) )
| ( mod2 @ ( low @ smaller ) ) ),
inference(simp,[status(thm)],[1875]) ).
thf(5299,plain,
( $false
| ( mod2 @ ( low @ smaller ) ) ),
inference(rewrite,[status(thm)],[1877,513]) ).
thf(5300,plain,
mod2 @ ( low @ smaller ),
inference(simp,[status(thm)],[5299]) ).
thf(9385,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5300,135]) ).
thf(9386,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9385]) ).
thf(9387,plain,
mod2 @ ( low @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9386:[bind(A,$thf( low )),bind(B,$thf( mod2 ))]]) ).
thf(3710,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ age ) )
!= ( B @ ( A @ age ) ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( tau @ ( zero @ smaller_or_equal ) )
| ~ ( A @ robust_position ) ),
inference(paramod_ordered,[status(thm)],[37,81]) ).
thf(3711,plain,
( ~ ( sk2 @ ( sk1 @ positional_advantage ) )
| ~ ( tau @ ( zero @ smaller_or_equal ) )
| ~ ( sk1 @ robust_position ) ),
inference(pattern_uni,[status(thm)],[3710:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(1892,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,1782]) ).
thf(1893,plain,
! [A: $i] :
( ( A != zero )
| ( tau @ ( A @ greater ) )
| ( tau @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1892:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(1895,plain,
( ( tau @ ( zero @ greater ) )
| ( tau @ ( zero @ smaller ) ) ),
inference(simp,[status(thm)],[1893]) ).
thf(5202,plain,
( $false
| ( tau @ ( zero @ smaller ) ) ),
inference(rewrite,[status(thm)],[1895,465]) ).
thf(5203,plain,
tau @ ( zero @ smaller ),
inference(simp,[status(thm)],[5202]) ).
thf(9373,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5203,135]) ).
thf(9374,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9373]) ).
thf(9375,plain,
tau @ ( zero @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9374:[bind(A,$thf( zero )),bind(B,$thf( tau ))]]) ).
thf(32720,plain,
( ~ ( sk2 @ ( sk1 @ positional_advantage ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[3711,29,9375]) ).
thf(32721,plain,
~ ( sk2 @ ( sk1 @ positional_advantage ) ),
inference(simp,[status(thm)],[32720]) ).
thf(487,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,74]) ).
thf(488,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[487]) ).
thf(489,plain,
~ ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ),
inference(pattern_uni,[status(thm)],[488:[bind(A,$thf( sk4 @ ( sk1 @ age ) )),bind(B,$thf( sigma ))]]) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= high )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[40]) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= high ) ),
inference(lifteq,[status(thm)],[41]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= high ) ),
inference(simp,[status(thm)],[48]) ).
thf(312,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( high != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,187]) ).
thf(313,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( high != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[312:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(37431,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( high != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[313,31,5535]) ).
thf(37432,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( high != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[37431]) ).
thf(2451,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != mod1 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,2072]) ).
thf(2452,plain,
! [A: $i] :
( ( A != mod1 )
| ( mod2 @ ( A @ greater ) )
| ~ ( mod2 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2451:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(3278,plain,
( ( mod2 @ ( mod1 @ greater ) )
| ~ ( mod2 @ ( mod1 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2452]) ).
thf(6945,plain,
( $false
| ~ ( mod2 @ ( mod1 @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3278,471]) ).
thf(6946,plain,
~ ( mod2 @ ( mod1 @ greater_or_equal ) ),
inference(simp,[status(thm)],[6945]) ).
thf(1886,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,1740]) ).
thf(1887,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk5 @ ( A @ greater ) )
| ( sk5 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1886:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(1889,plain,
( ( sk5 @ ( sk2 @ greater ) )
| ( sk5 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[1887]) ).
thf(164,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ $true
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(paramod_ordered,[status(thm)],[27,156]) ).
thf(165,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[164]) ).
thf(171,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[165]) ).
thf(224,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,171]) ).
thf(225,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[224:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(21741,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[225,31,5535]) ).
thf(21742,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( mod1 @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[21741]) ).
thf(9346,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk5 @ ( sk2 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1889,135]) ).
thf(9347,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk5 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[9346]) ).
thf(9348,plain,
( ( sk5 @ ( sk2 @ smaller_or_equal ) )
| ( sk5 @ ( sk2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9347:[bind(A,$thf( sk2 )),bind(B,$thf( sk5 ))]]) ).
thf(204,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,170]) ).
thf(205,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk5 @ ( sk1 @ positional_advantage ) )
| ( sk5 @ ( sk1 @ is_aligned ) )
| ( sk5 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[204:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(17376,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ $true
| ( sk5 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[205,4332,31,5535]) ).
thf(17377,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk5 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[17376]) ).
thf(2693,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,1740]) ).
thf(2694,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk5 @ ( A @ greater ) )
| ~ ( sk5 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2693:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(3354,plain,
( ( sk5 @ ( sk2 @ greater ) )
| ~ ( sk5 @ ( sk2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2694]) ).
thf(9882,plain,
( ( ( high @ ( mod2 @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,501]) ).
thf(9883,plain,
( ( high @ ( mod2 @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9882]) ).
thf(9893,plain,
( ( high != sigma )
| ( mod2 != tau ) ),
inference(simp,[status(thm)],[9883]) ).
thf(278,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,187]) ).
thf(279,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( sk3 != sk2 )
| ~ ( sk5 @ ( sk1 @ positional_advantage ) )
| ( sk5 @ ( sk1 @ is_aligned ) )
| ( sk5 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[278:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(27979,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( sk3 != sk2 )
| ~ $true
| ( sk5 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[279,4332,31,5535]) ).
thf(27980,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( sk3 != sk2 )
| ( sk5 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[27979]) ).
thf(166,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ $true
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[27,36]) ).
thf(167,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[166]) ).
thf(173,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(2731,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,633]) ).
thf(2732,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk4 @ ( A @ greater ) )
| ~ ( sk4 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2731:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(3364,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ~ ( sk4 @ ( sk2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2732]) ).
thf(4378,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk4 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,4370]) ).
thf(4379,plain,
! [A: $i] :
( ( A != sk4 )
| ( A @ ( sk5 @ greater ) )
| ~ ( A @ ( sk5 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[4378:[bind(A,$thf( sk5 ))]]) ).
thf(4384,plain,
( ( sk4 @ ( sk5 @ greater ) )
| ~ ( sk4 @ ( sk5 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[4379]) ).
thf(22744,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk5 @ ( sk2 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[9657,69]) ).
thf(22745,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk5 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[22744]) ).
thf(22746,plain,
( ( sk2 @ ( sk5 @ greater_or_equal ) )
| ( sk5 @ ( sk2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[22745:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(10128,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,143]) ).
thf(10129,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) ) ),
inference(simp,[status(thm)],[10128]) ).
thf(10130,plain,
sk5 @ ( sk1 @ age ) @ ( tau @ smaller ),
inference(pattern_uni,[status(thm)],[10129:[bind(A,$thf( tau )),bind(B,$thf( sk5 @ ( sk1 @ age ) ))]]) ).
thf(10250,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk1 @ age ) @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10130,135]) ).
thf(10251,plain,
! [B: $i,A: $i] :
( ( ( sk5 @ ( sk1 @ age ) @ ( tau @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[10250]) ).
thf(10252,plain,
sk5 @ ( sk1 @ age ) @ ( tau @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[10251:[bind(A,$thf( tau )),bind(B,$thf( sk5 @ ( sk1 @ age ) ))]]) ).
thf(2077,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != mod1 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,2072]) ).
thf(2078,plain,
! [A: $i] :
( ( A != mod1 )
| ( mod2 @ ( A @ greater ) )
| ( mod2 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[2077:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(2080,plain,
( ( mod2 @ ( mod1 @ greater ) )
| ( mod2 @ ( mod1 @ smaller ) ) ),
inference(simp,[status(thm)],[2078]) ).
thf(5630,plain,
( $false
| ( mod2 @ ( mod1 @ smaller ) ) ),
inference(rewrite,[status(thm)],[2080,471]) ).
thf(5631,plain,
mod2 @ ( mod1 @ smaller ),
inference(simp,[status(thm)],[5630]) ).
thf(9370,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5631,135]) ).
thf(9371,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9370]) ).
thf(9372,plain,
mod2 @ ( mod1 @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9371:[bind(A,$thf( mod1 )),bind(B,$thf( mod2 ))]]) ).
thf(654,plain,
( ( ( low @ ( mod2 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,459]) ).
thf(655,plain,
( ( low @ ( mod2 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[654]) ).
thf(657,plain,
( ( low != sigma )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[655]) ).
thf(35168,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(paramod_ordered,[status(thm)],[6086,447]) ).
thf(35169,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35168]) ).
thf(35209,plain,
( ( sk2 != low )
| ( sk5 != very_low )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35169]) ).
thf(35230,plain,
( ( sk5 != very_low )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35209]) ).
thf(222,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,171]) ).
thf(223,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk5 @ ( sk1 @ positional_advantage ) )
| ( sk5 @ ( sk1 @ is_aligned ) )
| ( sk5 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[222:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(21178,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ $true
| ( sk5 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[223,4332,31,5535]) ).
thf(21179,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ( sk5 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[21178]) ).
thf(15236,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[14689,465]) ).
thf(15237,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15236]) ).
thf(15290,plain,
( ( mod2 != tau )
| ( very_low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15237]) ).
thf(20151,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18340,135]) ).
thf(20152,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[20151]) ).
thf(20153,plain,
( ( very_low @ ( mod1 @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[20152:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(3777,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,489]) ).
thf(3778,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sk4 @ ( sk1 @ age ) @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[3777]) ).
thf(3823,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= sigma ) ),
inference(simp,[status(thm)],[3778]) ).
thf(3842,plain,
( ( sk4 @ ( sk1 @ age ) )
!= sigma ),
inference(simp,[status(thm)],[3823]) ).
thf(38517,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma != sigma )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[8589,3842]) ).
thf(38518,plain,
( ( ( sk4 @ ( sk1 @ age ) )
!= ( sk3 @ ( sk1 @ age ) ) )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[38517]) ).
thf(38709,plain,
( ( sk4 != sk3 )
| ( sk1 != sk1 )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[38518]) ).
thf(38854,plain,
( ( sk4 != sk3 )
| ( sigma @ ( sk3 @ ( sk1 @ age ) @ smaller ) ) ),
inference(simp,[status(thm)],[38709]) ).
thf(520,plain,
( ( ( very_low @ ( low @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[56,447]) ).
thf(521,plain,
( ( very_low @ ( low @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[520]) ).
thf(551,plain,
( ( low != very_low )
| ( low != very_low ) ),
inference(simp,[status(thm)],[521]) ).
thf(557,plain,
low != very_low,
inference(simp,[status(thm)],[551]) ).
thf(8273,plain,
! [B: $i,A: $i] :
( ( A != low )
| ( B != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,557]) ).
thf(8274,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( low @ smaller ) )
| ~ ( A @ ( low @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[8273:[bind(A,$thf( low ))]]) ).
thf(8760,plain,
( ( very_low @ ( low @ smaller ) )
| ~ ( very_low @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[8274]) ).
thf(7847,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,779]) ).
thf(7848,plain,
! [A: $i] :
( ( A != low )
| ( high @ ( A @ smaller ) )
| ~ ( high @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7847:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(9122,plain,
( ( high @ ( low @ smaller ) )
| ~ ( high @ ( low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7848]) ).
thf(7587,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk4 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,4370]) ).
thf(7588,plain,
! [A: $i] :
( ( A != sk4 )
| ( A @ ( sk5 @ smaller ) )
| ~ ( A @ ( sk5 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7587:[bind(A,$thf( sk5 ))]]) ).
thf(9040,plain,
( ( sk4 @ ( sk5 @ smaller ) )
| ~ ( sk4 @ ( sk5 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7588]) ).
thf(1271,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,776]) ).
thf(1272,plain,
! [A: $i] :
( ( A != low )
| ( mod1 @ ( A @ greater ) )
| ( mod1 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1271:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(1596,plain,
( ( mod1 @ ( low @ greater ) )
| ( mod1 @ ( low @ smaller ) ) ),
inference(simp,[status(thm)],[1272]) ).
thf(4918,plain,
( $false
| ( mod1 @ ( low @ smaller ) ) ),
inference(rewrite,[status(thm)],[1596,453]) ).
thf(4919,plain,
mod1 @ ( low @ smaller ),
inference(simp,[status(thm)],[4918]) ).
thf(2264,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,513]) ).
thf(2265,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( mod2 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[2264]) ).
thf(2292,plain,
( ( mod2 != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[2265]) ).
thf(168,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ $true
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(paramod_ordered,[status(thm)],[27,36]) ).
thf(169,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
!= ( tau @ ( sigma @ smaller ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(176,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[169]) ).
thf(753,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,453]) ).
thf(754,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[753]) ).
thf(772,plain,
( ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[754]) ).
thf(9337,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( high @ ( low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1883,135]) ).
thf(9338,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[9337]) ).
thf(9339,plain,
( ( high @ ( low @ smaller_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9338:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(117,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[116]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ age ) )
!= zero ) ),
inference(lifteq,[status(thm)],[117]) ).
thf(257,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,69]) ).
thf(258,plain,
! [B: $i,A: $i] :
( ( ( zero @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[257]) ).
thf(259,plain,
zero @ ( tau @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[258:[bind(A,$thf( tau )),bind(B,$thf( zero ))]]) ).
thf(314,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ hazard_of_mortality ) ) )
| ( high != tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,187]) ).
thf(315,plain,
( ( high != tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ positional_advantage ) )
| ( sk4 @ ( sk1 @ is_aligned ) )
| ( sk4 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[314:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(38088,plain,
( ( high != tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| $false
| ( sk4 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[315,4290,31,5535]) ).
thf(38089,plain,
( ( high != tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[38088]) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 )
| ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[40]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) ),
inference(lifteq,[status(thm)],[43]) ).
thf(54,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) ),
inference(simp,[status(thm)],[53]) ).
thf(18304,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( tau @ ( sigma @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18293,9828]) ).
thf(18305,plain,
( ( ( mod1 @ ( very_low @ greater ) )
!= ( tau @ ( sigma @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18304]) ).
thf(18399,plain,
( ( mod1 != tau )
| ( very_low != sigma )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18305]) ).
thf(30205,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,30185]) ).
thf(30206,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[30205]) ).
thf(30281,plain,
( ( tau != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= ( sk4 @ ( sk1 @ age ) ) ) ),
inference(simp,[status(thm)],[30206]) ).
thf(30303,plain,
( ( sk5 @ ( sk1 @ age ) )
!= ( sk4 @ ( sk1 @ age ) ) ),
inference(simp,[status(thm)],[30281]) ).
thf(67,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[64]) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[67]) ).
thf(71,plain,
! [A: $i] : ( A @ ( A @ greater_or_equal ) ),
inference(simp,[status(thm)],[70]) ).
thf(32783,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(paramod_ordered,[status(thm)],[6083,74]) ).
thf(32784,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(simp,[status(thm)],[32783]) ).
thf(32785,plain,
( ~ ( sk5 @ ( sk2 @ greater ) )
| ( sk2 != very_low )
| ( sk5 != low ) ),
inference(pattern_uni,[status(thm)],[32784:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(226,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,171]) ).
thf(227,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[226:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(22403,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[227,31,5535]) ).
thf(22404,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[22403]) ).
thf(10346,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[10142,135]) ).
thf(10347,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk1 @ age ) @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[10346]) ).
thf(10348,plain,
sk4 @ ( sk1 @ age ) @ ( sigma @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[10347:[bind(A,$thf( sigma )),bind(B,$thf( sk4 @ ( sk1 @ age ) ))]]) ).
thf(82,plain,
! [A: $i] :
( ( A @ robust_position )
| ~ ( A @ sk7 @ ( A @ positional_advantage ) )
| ( A @ sk6 @ ( A @ positional_advantage ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(86,plain,
! [A: $i] :
( ( A @ robust_position )
| ~ ( A @ sk7 @ ( A @ positional_advantage ) )
| ( A @ sk6 @ ( A @ positional_advantage ) ) ),
inference(simp,[status(thm)],[82]) ).
thf(18297,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[18293,69]) ).
thf(18298,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[18297]) ).
thf(18299,plain,
( ( mod1 @ ( very_low @ greater_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[18298:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(1275,plain,
! [B: $i,A: $i] :
( ( B != low )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,557]) ).
thf(1276,plain,
! [A: $i] :
( ( A != very_low )
| ( low @ ( A @ greater ) )
| ( low @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1275:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(1598,plain,
( ( low @ ( very_low @ greater ) )
| ( low @ ( very_low @ smaller ) ) ),
inference(simp,[status(thm)],[1276]) ).
thf(4967,plain,
( $false
| ( low @ ( very_low @ smaller ) ) ),
inference(rewrite,[status(thm)],[1598,447]) ).
thf(4968,plain,
low @ ( very_low @ smaller ),
inference(simp,[status(thm)],[4967]) ).
thf(9388,plain,
! [B: $i,A: $i] :
( ( ( low @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4968,135]) ).
thf(9389,plain,
! [B: $i,A: $i] :
( ( ( low @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9388]) ).
thf(9390,plain,
low @ ( very_low @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9389:[bind(A,$thf( very_low )),bind(B,$thf( low ))]]) ).
thf(232,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,36]) ).
thf(233,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk5 @ ( sk1 @ positional_advantage ) )
| ( sk5 @ ( sk1 @ is_aligned ) )
| ( sk5 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[232:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(23837,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ $true
| ( sk5 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[233,4332,31,5535]) ).
thf(23838,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk5 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[23837]) ).
thf(19868,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( high @ ( low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[9636,69]) ).
thf(19869,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[19868]) ).
thf(19870,plain,
( ( low @ ( high @ greater_or_equal ) )
| ( high @ ( low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[19869:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(9824,plain,
( ( ( mod1 @ ( low @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,453]) ).
thf(9825,plain,
( ( mod1 @ ( low @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9824]) ).
thf(9890,plain,
( ( mod1 != sigma )
| ( low != tau ) ),
inference(simp,[status(thm)],[9825]) ).
thf(530,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,447]) ).
thf(531,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[530]) ).
thf(552,plain,
( ( low != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= very_low ) ),
inference(simp,[status(thm)],[531]) ).
thf(9836,plain,
( ( ( mod2 @ ( mod1 @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,471]) ).
thf(9837,plain,
( ( mod2 @ ( mod1 @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9836]) ).
thf(9888,plain,
( ( mod2 != sigma )
| ( mod1 != tau ) ),
inference(simp,[status(thm)],[9837]) ).
thf(94,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk9 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk8 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[91]) ).
thf(103,plain,
! [A: $i] :
( ( A @ has_endowment )
| ( A @ sk9 @ ( A @ has_immunity ) )
| ( eta @ ( A @ sk8 @ ( A @ age ) @ smaller_or_equal ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[94]) ).
thf(9667,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( mod1 @ ( very_low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1615,141]) ).
thf(9668,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( very_low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[9667]) ).
thf(9669,plain,
( ( very_low @ ( mod1 @ greater ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9668:[bind(A,$thf( very_low )),bind(B,$thf( mod1 ))]]) ).
thf(23726,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( mod1 @ ( very_low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[9669,69]) ).
thf(23727,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[23726]) ).
thf(23728,plain,
( ( very_low @ ( mod1 @ greater_or_equal ) )
| ( mod1 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[23727:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(21633,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[9648,69]) ).
thf(21634,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[21633]) ).
thf(21635,plain,
( ( sk4 @ ( sk5 @ greater_or_equal ) )
| ( sk5 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[21634:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(208,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk6 @ ( A @ positional_advantage ) )
!= ( C @ ( B @ positional_advantage ) ) )
| ~ $true
| ( C @ ( B @ is_aligned ) )
| ( C @ ( B @ has_immunity ) )
| ~ ( B @ organization )
| ( ( C @ ( B @ hazard_of_mortality ) )
= mod1 )
| ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[85,47]) ).
thf(209,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ sk6 @ ( A @ positional_advantage ) )
!= ( C @ ( B @ positional_advantage ) ) )
| ( C @ ( B @ is_aligned ) )
| ( C @ ( B @ has_immunity ) )
| ~ ( B @ organization )
| ( ( C @ ( B @ hazard_of_mortality ) )
= mod1 )
| ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[208]) ).
thf(210,plain,
! [A: $i] :
( ( A @ sk6 @ ( A @ is_aligned ) )
| ( A @ sk6 @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( A @ sk6 @ ( A @ hazard_of_mortality ) )
= mod1 )
| ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) ) ),
inference(pattern_uni,[status(thm)],[209:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( D @ sk6 ))]]) ).
thf(240,plain,
! [A: $i] :
( ( A @ sk6 @ ( A @ is_aligned ) )
| ( A @ sk6 @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( A @ sk6 @ ( A @ hazard_of_mortality ) )
= mod1 )
| ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) ) ),
inference(simp,[status(thm)],[210]) ).
thf(648,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,459]) ).
thf(649,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[648]) ).
thf(662,plain,
( ( sigma != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= zero ) ),
inference(simp,[status(thm)],[649]) ).
thf(668,plain,
( ( sk4 @ ( sk1 @ age ) )
!= zero ),
inference(simp,[status(thm)],[662]) ).
thf(9325,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[2136,135]) ).
thf(9326,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( zero @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9325]) ).
thf(9327,plain,
sigma @ ( zero @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9326:[bind(A,$thf( zero )),bind(B,$thf( sigma ))]]) ).
thf(749,plain,
( ( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[25,453]) ).
thf(750,plain,
( ( mod1 @ ( low @ greater ) )
!= ( zero @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[749]) ).
thf(769,plain,
( ( mod1 != zero )
| ( low != tau ) ),
inference(simp,[status(thm)],[750]) ).
thf(10170,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[6316,143]) ).
thf(10171,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( A @ ( B @ greater ) ) )
| ( B @ ( A @ smaller ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[10170]) ).
thf(10172,plain,
( ( low @ ( high @ smaller ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[10171:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(16236,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[15235,135]) ).
thf(16237,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[16236]) ).
thf(16238,plain,
( ( very_low @ ( mod2 @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[16237:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(9846,plain,
( ( ( mod2 @ ( low @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,513]) ).
thf(9847,plain,
( ( mod2 @ ( low @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9846]) ).
thf(9899,plain,
( ( mod2 != sigma )
| ( low != tau ) ),
inference(simp,[status(thm)],[9847]) ).
thf(1305,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,556]) ).
thf(1306,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod1 @ greater ) )
| ( A @ ( mod1 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1305:[bind(A,$thf( mod1 ))]]) ).
thf(1614,plain,
( ( very_low @ ( mod1 @ greater ) )
| ( very_low @ ( mod1 @ smaller ) ) ),
inference(simp,[status(thm)],[1306]) ).
thf(9379,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( very_low @ ( mod1 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1614,135]) ).
thf(9380,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod1 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( very_low @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[9379]) ).
thf(9381,plain,
( ( very_low @ ( mod1 @ smaller_or_equal ) )
| ( very_low @ ( mod1 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9380:[bind(A,$thf( mod1 )),bind(B,$thf( very_low ))]]) ).
thf(1757,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,465]) ).
thf(1758,plain,
( ( mod2 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1757]) ).
thf(1775,plain,
( ( mod2 != tau )
| ( high != zero ) ),
inference(simp,[status(thm)],[1758]) ).
thf(9343,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1888,135]) ).
thf(9344,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[9343]) ).
thf(9345,plain,
( ( sk2 @ ( sk5 @ smaller_or_equal ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9344:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(30239,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[119,30185]) ).
thf(30240,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[30239]) ).
thf(30284,plain,
( ( low != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[30240]) ).
thf(323,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,170]) ).
thf(324,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ positional_advantage ) )
| ( sk4 @ ( sk1 @ is_aligned ) )
| ( sk4 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[323:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(39163,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| $false
| ( sk4 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[324,4290,31,5535]) ).
thf(39164,plain,
( ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[39163]) ).
thf(7877,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,558]) ).
thf(7878,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod2 @ smaller ) )
| ~ ( A @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7877:[bind(A,$thf( mod2 ))]]) ).
thf(9133,plain,
( ( very_low @ ( mod2 @ smaller ) )
| ~ ( very_low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7878]) ).
thf(2729,plain,
! [B: $i,A: $i] :
( ( A != sk4 )
| ( B != sk2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,633]) ).
thf(2730,plain,
! [A: $i] :
( ( A != sk2 )
| ( A @ ( sk4 @ greater ) )
| ~ ( A @ ( sk4 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2729:[bind(A,$thf( sk4 ))]]) ).
thf(3363,plain,
( ( sk2 @ ( sk4 @ greater ) )
| ~ ( sk2 @ ( sk4 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2730]) ).
thf(298,plain,
( ( sk4 != sk3 )
| ( sk1 != sk1 )
| ( sk5 != sk3 )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[296]) ).
thf(299,plain,
( ( sk4 != sk3 )
| ( sk5 != sk3 )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[298]) ).
thf(6446,plain,
( ( ( high @ ( low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[6316,459]) ).
thf(6447,plain,
( ( ( high @ ( low @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6446]) ).
thf(6476,plain,
( ( high != sigma )
| ( low != zero )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6447]) ).
thf(650,plain,
( ( ( mod1 @ ( high @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,459]) ).
thf(651,plain,
( ( mod1 @ ( high @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[650]) ).
thf(658,plain,
( ( mod1 != sigma )
| ( high != zero ) ),
inference(simp,[status(thm)],[651]) ).
thf(7321,plain,
! [B: $i,A: $i] :
( ( A != tau )
| ( B != zero )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,1782]) ).
thf(7322,plain,
! [A: $i] :
( ( A != zero )
| ( A @ ( tau @ smaller ) )
| ~ ( A @ ( tau @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7321:[bind(A,$thf( tau ))]]) ).
thf(8954,plain,
( ( zero @ ( tau @ smaller ) )
| ~ ( zero @ ( tau @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7322]) ).
thf(652,plain,
( ( ( mod2 @ ( high @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[149,459]) ).
thf(653,plain,
( ( mod2 @ ( high @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[652]) ).
thf(663,plain,
( ( mod2 != sigma )
| ( high != zero ) ),
inference(simp,[status(thm)],[653]) ).
thf(7265,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != mod2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,2248]) ).
thf(7266,plain,
! [A: $i] :
( ( A != mod2 )
| ( A @ ( high @ smaller ) )
| ~ ( A @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7265:[bind(A,$thf( high ))]]) ).
thf(8936,plain,
( ( mod2 @ ( high @ smaller ) )
| ~ ( mod2 @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7266]) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnfConj,[status(thm)],[106]) ).
thf(9637,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( very_low @ ( mod2 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1544,141]) ).
thf(9638,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[9637]) ).
thf(9639,plain,
( ( mod2 @ ( very_low @ greater ) )
| ( very_low @ ( mod2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9638:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(6763,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ age ) )
!= ( B @ ( A @ age ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization )
| ( zero != zero ) ),
inference(paramod_ordered,[status(thm)],[37,118]) ).
thf(6764,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk1 @ age ) )
!= ( B @ ( A @ age ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[6763]) ).
thf(6765,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[6764:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 ))]]) ).
thf(6805,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ $true ),
inference(rewrite,[status(thm)],[6765,31]) ).
thf(6806,plain,
sk2 @ ( sk1 @ is_aligned ),
inference(simp,[status(thm)],[6805]) ).
thf(310,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( high != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,187]) ).
thf(311,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( high != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[310:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(36829,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( high != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[311,31,5535]) ).
thf(36830,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( high != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[36829]) ).
thf(524,plain,
( ( ( low @ ( very_low @ greater ) )
!= ( zero @ ( sigma @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[24,447]) ).
thf(525,plain,
( ( low @ ( very_low @ greater ) )
!= ( zero @ ( sigma @ greater ) ) ),
inference(simp,[status(thm)],[524]) ).
thf(553,plain,
( ( low != zero )
| ( very_low != sigma ) ),
inference(simp,[status(thm)],[525]) ).
thf(2507,plain,
! [B: $i,A: $i] :
( ( B != high )
| ( A != mod2 )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,2248]) ).
thf(2508,plain,
! [A: $i] :
( ( A != mod2 )
| ( high @ ( A @ greater ) )
| ~ ( high @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2507:[bind(A,$thf( A )),bind(B,$thf( high ))]]) ).
thf(3296,plain,
( ( high @ ( mod2 @ greater ) )
| ~ ( high @ ( mod2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2508]) ).
thf(7069,plain,
( $false
| ~ ( high @ ( mod2 @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3296,501]) ).
thf(7070,plain,
~ ( high @ ( mod2 @ greater_or_equal ) ),
inference(simp,[status(thm)],[7069]) ).
thf(230,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= mod1 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,36]) ).
thf(231,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= mod1 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[230:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(23227,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= mod1 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[231,31,5535]) ).
thf(23228,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
!= mod1 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[23227]) ).
thf(280,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,187]) ).
thf(281,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[280:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(28500,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[281,31,5535]) ).
thf(28501,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[28500]) ).
thf(1755,plain,
( ( ( mod1 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,465]) ).
thf(1756,plain,
( ( mod1 @ ( high @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1755]) ).
thf(1770,plain,
( ( mod1 != tau )
| ( high != zero ) ),
inference(simp,[status(thm)],[1756]) ).
thf(7845,plain,
! [B: $i,A: $i] :
( ( A != high )
| ( B != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,779]) ).
thf(7846,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( high @ smaller ) )
| ~ ( A @ ( high @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7845:[bind(A,$thf( high ))]]) ).
thf(9121,plain,
( ( low @ ( high @ smaller ) )
| ~ ( low @ ( high @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7846]) ).
thf(290,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,289]) ).
thf(291,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[290:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(30946,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[291,31,5535]) ).
thf(30947,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( mod1 != tau )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[30946]) ).
thf(15199,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( tau @ ( sigma @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[14689,9828]) ).
thf(15200,plain,
( ( ( mod2 @ ( very_low @ greater ) )
!= ( tau @ ( sigma @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15199]) ).
thf(15288,plain,
( ( mod2 != tau )
| ( very_low != sigma )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15200]) ).
thf(6055,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( zero @ ( tau @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[259,3353]) ).
thf(6056,plain,
( ( ( sk2 @ ( sk5 @ greater_or_equal ) )
!= ( zero @ ( tau @ greater_or_equal ) ) )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6055]) ).
thf(6093,plain,
( ( sk2 != zero )
| ( sk5 != tau )
| ( sk2 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[6056]) ).
thf(124,plain,
! [C: $i,B: $i,A: $i] :
( ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ( ( B @ ( A @ age ) )
!= zero )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[122]) ).
thf(126,plain,
! [C: $i,B: $i,A: $i] :
( ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ age ) )
!= zero ) ),
inference(lifteq,[status(thm)],[124]) ).
thf(127,plain,
! [C: $i,B: $i,A: $i] :
( ( sigma @ ( C @ ( A @ age ) @ greater ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ age ) )
!= zero ) ),
inference(simp,[status(thm)],[126]) ).
thf(2096,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,495]) ).
thf(2097,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( high @ ( mod1 @ greater ) ) ),
inference(simp,[status(thm)],[2096]) ).
thf(2128,plain,
( ( high != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= mod1 ) ),
inference(simp,[status(thm)],[2097]) ).
thf(9922,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A != sigma )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,9906]) ).
thf(9923,plain,
! [A: $i] :
( ( A != sigma )
| ( tau @ ( A @ greater ) )
| ~ ( tau @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[9922:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(9925,plain,
( ( tau @ ( sigma @ greater ) )
| ~ ( tau @ ( sigma @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[9923]) ).
thf(24645,plain,
( $false
| ~ ( tau @ ( sigma @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[9925,9828]) ).
thf(24646,plain,
~ ( tau @ ( sigma @ greater_or_equal ) ),
inference(simp,[status(thm)],[24645]) ).
thf(1111,plain,
! [B: $i,A: $i] :
( ( B != sk4 )
| ( A != sk2 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,633]) ).
thf(1112,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk4 @ ( A @ greater ) )
| ( sk4 @ ( A @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[1111:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(1543,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ( sk4 @ ( sk2 @ smaller ) ) ),
inference(simp,[status(thm)],[1112]) ).
thf(292,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,289]) ).
thf(293,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[292:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(31530,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[293,31,5535]) ).
thf(31531,plain,
( ( sk5 != sk3 )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[31530]) ).
thf(9673,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ~ $true
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1542,141]) ).
thf(9674,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( A @ ( B @ greater ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(simp,[status(thm)],[9673]) ).
thf(9675,plain,
( ( sk4 @ ( sk2 @ greater ) )
| ( sk2 @ ( sk4 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9674:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(15194,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[14689,69]) ).
thf(15195,plain,
! [B: $i,A: $i] :
( ( ( mod2 @ ( very_low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[15194]) ).
thf(15196,plain,
( ( mod2 @ ( very_low @ greater_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[15195:[bind(A,$thf( very_low )),bind(B,$thf( mod2 ))]]) ).
thf(2673,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,778]) ).
thf(2674,plain,
! [A: $i] :
( ( A != low )
| ( mod2 @ ( A @ greater ) )
| ~ ( mod2 @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2673:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(3348,plain,
( ( mod2 @ ( low @ greater ) )
| ~ ( mod2 @ ( low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2674]) ).
thf(9241,plain,
( $false
| ~ ( mod2 @ ( low @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3348,513]) ).
thf(9242,plain,
~ ( mod2 @ ( low @ greater_or_equal ) ),
inference(simp,[status(thm)],[9241]) ).
thf(304,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk4 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,156]) ).
thf(305,plain,
( ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ positional_advantage ) )
| ( sk4 @ ( sk1 @ is_aligned ) )
| ( sk4 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[304:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(34033,plain,
( ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| $false
| ( sk4 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[305,4290,31,5535]) ).
thf(34034,plain,
( ~ ( high @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk4 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[34033]) ).
thf(154,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) ) ),
inference(simp,[status(thm)],[151]) ).
thf(9361,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[27,135]) ).
thf(9362,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sigma @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9361]) ).
thf(9363,plain,
tau @ ( sigma @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9362:[bind(A,$thf( sigma )),bind(B,$thf( tau ))]]) ).
thf(211,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk5 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,156]) ).
thf(212,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ ( sk5 @ ( sk1 @ positional_advantage ) )
| ( sk5 @ ( sk1 @ is_aligned ) )
| ( sk5 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[211:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 ))]]) ).
thf(18590,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ~ $true
| ( sk5 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[212,4332,31,5535]) ).
thf(18591,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ( sk3 != sk2 )
| ( sk5 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[18590]) ).
thf(2522,plain,
! [B: $i,A: $i] :
( ( B != tau )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,1782]) ).
thf(2523,plain,
! [A: $i] :
( ( A != zero )
| ( tau @ ( A @ greater ) )
| ~ ( tau @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2522:[bind(A,$thf( A )),bind(B,$thf( tau ))]]) ).
thf(3300,plain,
( ( tau @ ( zero @ greater ) )
| ~ ( tau @ ( zero @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2523]) ).
thf(5872,plain,
( $false
| ~ ( tau @ ( zero @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3300,465]) ).
thf(5873,plain,
~ ( tau @ ( zero @ greater_or_equal ) ),
inference(simp,[status(thm)],[5872]) ).
thf(79,plain,
! [A: $i] :
( ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) )
| ( tau @ ( A @ sk6 @ ( A @ age ) @ smaller_or_equal ) ) ),
inference(cnfConj,[status(thm)],[77]) ).
thf(87,plain,
! [A: $i] :
( ( A @ robust_position )
| ( tau @ ( A @ sk7 @ ( A @ age ) @ greater ) )
| ( tau @ ( A @ sk6 @ ( A @ age ) @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[79]) ).
thf(30235,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( mod2 @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[55,30185]) ).
thf(30236,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( low @ ( mod2 @ greater ) ) ),
inference(simp,[status(thm)],[30235]) ).
thf(30282,plain,
( ( low != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= mod2 ) ),
inference(simp,[status(thm)],[30236]) ).
thf(9817,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,69]) ).
thf(9818,plain,
! [B: $i,A: $i] :
( ( ( sigma @ ( tau @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[9817]) ).
thf(9819,plain,
sigma @ ( tau @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[9818:[bind(A,$thf( tau )),bind(B,$thf( sigma ))]]) ).
thf(23119,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[9675,69]) ).
thf(23120,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk4 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[23119]) ).
thf(23121,plain,
( ( sk2 @ ( sk4 @ greater_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[23120:[bind(A,$thf( sk4 )),bind(B,$thf( sk2 ))]]) ).
thf(7695,plain,
! [B: $i,A: $i] :
( ( B != sk5 )
| ( A != sk2 )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,1740]) ).
thf(7696,plain,
! [A: $i] :
( ( A != sk2 )
| ( sk5 @ ( A @ smaller ) )
| ~ ( sk5 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7695:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(9078,plain,
( ( sk5 @ ( sk2 @ smaller ) )
| ~ ( sk5 @ ( sk2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7696]) ).
thf(36690,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ~ $true
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(paramod_ordered,[status(thm)],[6089,447]) ).
thf(36691,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( low @ ( very_low @ greater ) ) )
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[36690]) ).
thf(36730,plain,
( ( sk2 != low )
| ( sk5 != very_low )
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[36691]) ).
thf(36773,plain,
( ( sk5 != very_low )
| ( sk2 != low )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[36730]) ).
thf(757,plain,
( ( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[32,453]) ).
thf(758,plain,
( ( sigma @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( low @ greater ) ) ),
inference(simp,[status(thm)],[757]) ).
thf(771,plain,
( ( mod1 != sigma )
| ( ( sk4 @ ( sk1 @ age ) )
!= low ) ),
inference(simp,[status(thm)],[758]) ).
thf(14131,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[10172,135]) ).
thf(14132,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[14131]) ).
thf(14133,plain,
( ( low @ ( high @ smaller_or_equal ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[14132:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(6406,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[6316,74]) ).
thf(6407,plain,
! [B: $i,A: $i] :
( ( ( high @ ( low @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[6406]) ).
thf(6408,plain,
( ~ ( low @ ( high @ greater ) )
| ( high != very_low ) ),
inference(pattern_uni,[status(thm)],[6407:[bind(A,$thf( low )),bind(B,$thf( high ))]]) ).
thf(33128,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ~ $true
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(paramod_ordered,[status(thm)],[6084,513]) ).
thf(33129,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod2 @ ( low @ greater ) ) )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33128]) ).
thf(33204,plain,
( ( sk2 != mod2 )
| ( sk5 != low )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33129]) ).
thf(33220,plain,
( ( sk5 != low )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33204]) ).
thf(1751,plain,
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,465]) ).
thf(1752,plain,
( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1751]) ).
thf(1774,plain,
( ( tau != tau )
| ( ( sk5 @ ( sk1 @ age ) )
!= zero ) ),
inference(simp,[status(thm)],[1752]) ).
thf(1781,plain,
( ( sk5 @ ( sk1 @ age ) )
!= zero ),
inference(simp,[status(thm)],[1774]) ).
thf(37945,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ~ $true
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(paramod_ordered,[status(thm)],[6091,453]) ).
thf(37946,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( mod1 @ ( low @ greater ) ) )
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[37945]) ).
thf(38050,plain,
( ( sk2 != mod1 )
| ( sk5 != low )
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[37946]) ).
thf(38073,plain,
( ( sk5 != low )
| ( sk2 != mod1 )
| ( sk5 != mod2 ) ),
inference(simp,[status(thm)],[38050]) ).
thf(155,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk1 != sk1 ) ),
inference(simp,[status(thm)],[151]) ).
thf(158,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[155]) ).
thf(2741,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,558]) ).
thf(2742,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod2 @ greater ) )
| ~ ( A @ ( mod2 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2741:[bind(A,$thf( mod2 ))]]) ).
thf(3369,plain,
( ( very_low @ ( mod2 @ greater ) )
| ~ ( very_low @ ( mod2 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2742]) ).
thf(306,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( high @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,156]) ).
thf(307,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( high @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[306:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(35254,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( high @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[307,31,5535]) ).
thf(35255,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( high @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[35254]) ).
thf(35158,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ~ $true
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(paramod_ordered,[status(thm)],[6086,495]) ).
thf(35159,plain,
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( high @ ( mod1 @ greater ) ) )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35158]) ).
thf(35223,plain,
( ( sk2 != high )
| ( sk5 != mod1 )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35159]) ).
thf(35233,plain,
( ( sk2 != high )
| ( sk2 != low )
| ( sk5 != mod1 ) ),
inference(simp,[status(thm)],[35223]) ).
thf(110,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[106]) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[110]) ).
thf(9854,plain,
( ( ( low @ ( high @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true
| ( high != very_low ) ),
inference(paramod_ordered,[status(thm)],[9672,6408]) ).
thf(9855,plain,
( ( ( low @ ( high @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ( high != very_low ) ),
inference(simp,[status(thm)],[9854]) ).
thf(9887,plain,
( ( low != sigma )
| ( high != tau )
| ( high != very_low ) ),
inference(simp,[status(thm)],[9855]) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(cnf,[status(esa)],[57]) ).
thf(4374,plain,
! [B: $i,A: $i] :
( ( A != sk5 )
| ( B != sk4 )
| ( B @ ( A @ greater ) )
| ( B @ ( A @ smaller ) ) ),
inference(paramod_ordered,[status(thm)],[146,4370]) ).
thf(4375,plain,
! [A: $i] :
( ( A != sk4 )
| ( A @ ( sk5 @ greater ) )
| ( A @ ( sk5 @ smaller ) ) ),
inference(pattern_uni,[status(thm)],[4374:[bind(A,$thf( sk5 ))]]) ).
thf(4382,plain,
( ( sk4 @ ( sk5 @ greater ) )
| ( sk4 @ ( sk5 @ smaller ) ) ),
inference(simp,[status(thm)],[4375]) ).
thf(9391,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk5 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk4 @ ( sk5 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[4382,135]) ).
thf(9392,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk5 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk4 @ ( sk5 @ greater ) ) ),
inference(simp,[status(thm)],[9391]) ).
thf(9393,plain,
( ( sk4 @ ( sk5 @ smaller_or_equal ) )
| ( sk4 @ ( sk5 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9392:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(9319,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( low @ ( high @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1882,135]) ).
thf(9320,plain,
! [B: $i,A: $i] :
( ( ( low @ ( high @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( low @ ( high @ greater ) ) ),
inference(simp,[status(thm)],[9319]) ).
thf(9321,plain,
( ( low @ ( high @ smaller_or_equal ) )
| ( low @ ( high @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9320:[bind(A,$thf( high )),bind(B,$thf( low ))]]) ).
thf(9376,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[1543,135]) ).
thf(9377,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( sk2 @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(simp,[status(thm)],[9376]) ).
thf(9378,plain,
( ( sk4 @ ( sk2 @ smaller_or_equal ) )
| ( sk4 @ ( sk2 @ greater ) ) ),
inference(pattern_uni,[status(thm)],[9377:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(287,plain,
( ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[286]) ).
thf(260,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[28,69]) ).
thf(261,plain,
! [B: $i,A: $i] :
( ( ( tau @ ( sk5 @ ( sk1 @ age ) @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[260]) ).
thf(262,plain,
tau @ ( sk5 @ ( sk1 @ age ) @ greater_or_equal ),
inference(pattern_uni,[status(thm)],[261:[bind(A,$thf( sk5 @ ( sk1 @ age ) )),bind(B,$thf( tau ))]]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= low )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(cnfConj,[status(thm)],[40]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ),
inference(lifteq,[status(thm)],[45]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization )
| ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ),
inference(simp,[status(thm)],[50]) ).
thf(2697,plain,
! [B: $i,A: $i] :
( ( B != sigma )
| ( A != zero )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,669]) ).
thf(2698,plain,
! [A: $i] :
( ( A != zero )
| ( sigma @ ( A @ greater ) )
| ~ ( sigma @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2697:[bind(A,$thf( A )),bind(B,$thf( sigma ))]]) ).
thf(3356,plain,
( ( sigma @ ( zero @ greater ) )
| ~ ( sigma @ ( zero @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2698]) ).
thf(6325,plain,
( $false
| ~ ( sigma @ ( zero @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3356,459]) ).
thf(6326,plain,
~ ( sigma @ ( zero @ greater_or_equal ) ),
inference(simp,[status(thm)],[6325]) ).
thf(8257,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,776]) ).
thf(8258,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( mod1 @ smaller ) )
| ~ ( A @ ( mod1 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[8257:[bind(A,$thf( mod1 ))]]) ).
thf(8754,plain,
( ( low @ ( mod1 @ smaller ) )
| ~ ( low @ ( mod1 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[8258]) ).
thf(20305,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ~ $true
| ( mod2 @ ( very_low @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[9639,69]) ).
thf(20306,plain,
! [B: $i,A: $i] :
( ( ( very_low @ ( mod2 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ( B @ ( A @ greater_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(simp,[status(thm)],[20305]) ).
thf(20307,plain,
( ( very_low @ ( mod2 @ greater_or_equal ) )
| ( mod2 @ ( very_low @ greater ) ) ),
inference(pattern_uni,[status(thm)],[20306:[bind(A,$thf( mod2 )),bind(B,$thf( very_low ))]]) ).
thf(8386,plain,
! [B: $i,A: $i] :
( ( B != mod1 )
| ( A != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,556]) ).
thf(8387,plain,
! [A: $i] :
( ( A != very_low )
| ( mod1 @ ( A @ smaller ) )
| ~ ( mod1 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[8386:[bind(A,$thf( A )),bind(B,$thf( mod1 ))]]) ).
thf(8801,plain,
( ( mod1 @ ( very_low @ smaller ) )
| ~ ( mod1 @ ( very_low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[8387]) ).
thf(107,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnfConj,[status(thm)],[106]) ).
thf(7879,plain,
! [B: $i,A: $i] :
( ( B != mod2 )
| ( A != very_low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,558]) ).
thf(7880,plain,
! [A: $i] :
( ( A != very_low )
| ( mod2 @ ( A @ smaller ) )
| ~ ( mod2 @ ( A @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7879:[bind(A,$thf( A )),bind(B,$thf( mod2 ))]]) ).
thf(9134,plain,
( ( mod2 @ ( very_low @ smaller ) )
| ~ ( mod2 @ ( very_low @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7880]) ).
thf(642,plain,
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,459]) ).
thf(643,plain,
( ( mod1 @ ( mod2 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[642]) ).
thf(664,plain,
( ( mod1 != sigma )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[643]) ).
thf(282,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,187]) ).
thf(283,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[282:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(29014,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[283,31,5535]) ).
thf(29015,plain,
( ( ( sk4 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( mod1 != sigma )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= tau )
| ( ( sk5 @ ( sk1 @ hazard_of_mortality ) )
!= sigma )
| ( sk3 != sk2 )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[29014]) ).
thf(9355,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4919,135]) ).
thf(9356,plain,
! [B: $i,A: $i] :
( ( ( mod1 @ ( low @ smaller ) )
!= ( B @ ( A @ smaller ) ) )
| ( B @ ( A @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[9355]) ).
thf(9357,plain,
mod1 @ ( low @ smaller_or_equal ),
inference(pattern_uni,[status(thm)],[9356:[bind(A,$thf( low )),bind(B,$thf( mod1 ))]]) ).
thf(33096,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ~ $true
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(paramod_ordered,[status(thm)],[6084,74]) ).
thf(33097,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ ( sk5 @ greater ) )
!= ( B @ ( A @ greater ) ) )
| ~ ( A @ ( B @ greater ) )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(simp,[status(thm)],[33096]) ).
thf(33098,plain,
( ~ ( sk5 @ ( sk2 @ greater ) )
| ( sk2 != mod2 )
| ( sk5 != high ) ),
inference(pattern_uni,[status(thm)],[33097:[bind(A,$thf( sk5 )),bind(B,$thf( sk2 ))]]) ).
thf(302,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( high @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[49,156]) ).
thf(303,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( high @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[302:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(33229,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( high @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[303,31,5535]) ).
thf(33230,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ~ ( high @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( sk3 != sk2 )
| ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[33229]) ).
thf(7622,plain,
! [B: $i,A: $i] :
( ( A != mod2 )
| ( B != low )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[134,778]) ).
thf(7623,plain,
! [A: $i] :
( ( A != low )
| ( A @ ( mod2 @ smaller ) )
| ~ ( A @ ( mod2 @ smaller_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[7622:[bind(A,$thf( mod2 ))]]) ).
thf(9055,plain,
( ( low @ ( mod2 @ smaller ) )
| ~ ( low @ ( mod2 @ smaller_or_equal ) ) ),
inference(simp,[status(thm)],[7623]) ).
thf(9870,plain,
( ( ( low @ ( very_low @ greater ) )
!= ( sigma @ ( tau @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[9672,447]) ).
thf(9871,plain,
( ( low @ ( very_low @ greater ) )
!= ( sigma @ ( tau @ greater ) ) ),
inference(simp,[status(thm)],[9870]) ).
thf(9898,plain,
( ( low != sigma )
| ( very_low != tau ) ),
inference(simp,[status(thm)],[9871]) ).
thf(111,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnfConj,[status(thm)],[106]) ).
thf(2940,plain,
! [B: $i,A: $i] :
( ( B != low )
| ( A != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,557]) ).
thf(2941,plain,
! [A: $i] :
( ( A != very_low )
| ( low @ ( A @ greater ) )
| ~ ( low @ ( A @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2940:[bind(A,$thf( A )),bind(B,$thf( low ))]]) ).
thf(3433,plain,
( ( low @ ( very_low @ greater ) )
| ~ ( low @ ( very_low @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2941]) ).
thf(16562,plain,
( $false
| ~ ( low @ ( very_low @ greater_or_equal ) ) ),
inference(rewrite,[status(thm)],[3433,447]) ).
thf(16563,plain,
~ ( low @ ( very_low @ greater_or_equal ) ),
inference(simp,[status(thm)],[16562]) ).
thf(636,plain,
( ( ( low @ ( mod1 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[119,459]) ).
thf(637,plain,
( ( low @ ( mod1 @ greater ) )
!= ( sigma @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[636]) ).
thf(659,plain,
( ( low != sigma )
| ( mod1 != zero ) ),
inference(simp,[status(thm)],[637]) ).
thf(2966,plain,
! [B: $i,A: $i] :
( ( A != mod1 )
| ( B != very_low )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(paramod_ordered,[status(thm)],[68,556]) ).
thf(2967,plain,
! [A: $i] :
( ( A != very_low )
| ( A @ ( mod1 @ greater ) )
| ~ ( A @ ( mod1 @ greater_or_equal ) ) ),
inference(pattern_uni,[status(thm)],[2966:[bind(A,$thf( mod1 ))]]) ).
thf(3443,plain,
( ( very_low @ ( mod1 @ greater ) )
| ~ ( very_low @ ( mod1 @ greater_or_equal ) ) ),
inference(simp,[status(thm)],[2967]) ).
thf(1749,plain,
( ( ( mod1 @ ( mod2 @ greater ) )
!= ( tau @ ( zero @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[147,465]) ).
thf(1750,plain,
( ( mod1 @ ( mod2 @ greater ) )
!= ( tau @ ( zero @ greater ) ) ),
inference(simp,[status(thm)],[1749]) ).
thf(1769,plain,
( ( mod1 != tau )
| ( mod2 != zero ) ),
inference(simp,[status(thm)],[1750]) ).
thf(30227,plain,
( ( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( high @ greater ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,30185]) ).
thf(30228,plain,
( ( tau @ ( sk4 @ ( sk1 @ age ) @ greater ) )
!= ( mod1 @ ( high @ greater ) ) ),
inference(simp,[status(thm)],[30227]) ).
thf(30294,plain,
( ( mod1 != tau )
| ( ( sk4 @ ( sk1 @ age ) )
!= high ) ),
inference(simp,[status(thm)],[30228]) ).
thf(96,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(cnfConj,[status(thm)],[91]) ).
thf(100,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ has_immunity ) )
| ~ ( eta @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ has_endowment ) ),
inference(simp,[status(thm)],[96]) ).
thf(238,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
!= ( sk3 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[47,36]) ).
thf(239,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ has_immunity ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[238:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 ))]]) ).
thf(25734,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[239,31,5535]) ).
thf(25735,plain,
( ~ ( sk4 @ ( sk1 @ hazard_of_mortality ) @ ( mod1 @ smaller ) )
| ~ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ ( sk5 @ ( sk1 @ hazard_of_mortality ) @ smaller ) )
| ( ( sk3 @ ( sk1 @ hazard_of_mortality ) )
!= ( sk2 @ ( sk1 @ hazard_of_mortality ) ) )
| ~ ( sk3 @ ( sk1 @ positional_advantage ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[25734]) ).
thf(43875,plain,
$false,
inference(e,[status(thm)],[69,6085,24730,138,2295,9077,35236,4290,88,2072,9648,170,115,1882,9351,9324,2248,1544,16437,120,247,30283,56,6401,9127,36072,550,6089,14689,15207,9672,38812,32913,3370,37373,1782,24,30286,31907,9657,25,2136,37,52,9828,15286,9128,10142,18385,3353,2126,20418,157,9360,125,1545,38071,152,29,33962,30289,289,4383,57,9636,2237,9103,9336,9330,16798,2236,253,5680,84,147,61,9369,453,89,116,19402,265,74,9896,15235,85,8418,33218,4370,102,9041,546,18312,2061,6464,778,8888,297,8910,137,1883,28,38,92,18340,97,4385,1888,2068,36750,5936,1740,6090,3269,3618,519,36232,18400,156,9333,32914,18293,1772,8800,141,27741,17883,9387,669,32721,489,37432,6946,1889,21742,471,256,30185,9348,17377,3354,9893,27980,173,5823,779,3364,4384,22746,10252,9372,633,657,35230,558,21179,134,128,15290,244,20153,38854,8760,32,9122,149,9040,4919,513,2292,6084,148,176,772,9339,22,1615,59,118,259,27,38089,5535,54,144,10130,49,18399,30303,71,32785,22404,10348,6091,86,18299,9390,187,23838,9375,32974,81,19870,1542,271,9890,5631,3270,477,552,9888,103,23728,21635,4332,240,668,9327,769,10172,16238,9899,9381,135,1775,9345,30284,39164,9133,35,3363,299,6476,658,6083,3444,8954,663,8936,112,9639,6806,36830,553,7070,776,3842,23228,28501,557,1770,9926,34941,9121,31845,30947,15288,6093,127,2128,5203,24646,31,35790,1543,31531,9675,15196,9242,72,34034,143,154,9363,18591,6086,465,5873,87,30282,9819,23121,495,104,9078,36773,771,14133,556,6408,33220,1781,38073,26,158,3369,171,35255,35233,55,114,75,9669,27562,9887,119,58,9906,9393,9908,9321,9378,1614,287,36,262,30,51,8589,6326,447,8754,146,20307,8801,107,5300,268,9134,664,4968,29015,9357,6316,4382,33098,459,68,62,277,501,33230,47,9055,9898,111,16563,2074,659,3443,1769,30294,100,25735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT063+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n009.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 00:10:59 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.88/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.18 % [INFO] Parsing done (208ms).
% 1.26/1.19 % [INFO] Running in sequential loop mode.
% 2.13/1.60 % [INFO] eprover registered as external prover.
% 2.13/1.61 % [INFO] Scanning for conjecture ...
% 2.32/1.73 % [INFO] Found a conjecture (or negated_conjecture) and 19 axioms. Running axiom selection ...
% 2.57/1.82 % [INFO] Axiom selection finished. Selected 19 axioms (removed 0 axioms).
% 2.57/1.85 % [INFO] Problem is first-order (TPTP FOF).
% 2.57/1.86 % [INFO] Type checking passed.
% 2.57/1.87 % [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 ...
% 79.11/18.20 % External prover 'e' found a proof!
% 79.11/18.20 % [INFO] Killing All external provers ...
% 79.11/18.20 % Time passed: 17681ms (effective reasoning time: 17003ms)
% 79.11/18.20 % 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)>
% 79.11/18.20 % Axioms used in derivation (19): definition_2, assumption_18c, assumption_17, assumption_18b, assumption_19, definition_smaller, meaning_postulate_greater_comparable, meaning_postulate_greater_strict, definition_greater_or_equal, definition_1, assumption_13, assumption_18d, definition_4, assumption_18a, definition_smaller_or_equal, assumption_18e, assumption_15, meaning_postulate_greater_transitive, assumption_1
% 79.11/18.20 % No. of inferences in proof: 1118
% 79.11/18.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 17681 ms resp. 17003 ms w/o parsing
% 65.77/18.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 65.77/18.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------